
Subject Areas on Research

1:2 resonance mediated second harmonic generation in a 1D nonlinear discrete periodic medium

3D Quantum Transport Solver Based on the Perfectly Matched Layer and Spectral Element Methods for the Simulation of Semiconductor Nanodevices.

A 3D contact smoothing method using Gregory patches

A Bayesian analysis of the thermal challenge problem

A Bayesian level set method for geometric inverse problems

A Concurrent Global–Local Numerical Method for Multiscale PDEs

A Dynamic LES Scheme for the Vorticity Transport Equation: Formulation and a Priori Tests

A Fourierseriesbased kernelindependent fast multipole method

A Fourth Order Scheme for Incompressible Boussinesq Equations

A HighOrder Discontinuous Galerkin Method for 2D Incompressible Flows

A Kernelfree Boundary Integral Method for Elliptic Boundary Value Problems.

A LinearScaling Quantum Mechanical Investigation of Cytidine Deaminase

A Local Pressure Boundary Condition Spectral Collocation Scheme for the ThreeDimensional Navier–Stokes Equations

A Modified Error in Constitutive Equation Approach for FrequencyDomain Viscoelasticity Imaging Using Interior Data.

A Multiscale Pressure Splitting of the ShallowWater Equations: I. Formulation and 1D Tests

A Nitsche embedded mesh method

A Nitsche method for wave propagation problems in time domain

A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. Part I: Single interface

A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. Part II: Intersecting interfaces

A Semiimplicit Numerical Scheme for Reacting Flow: I. Stiff Chemistry

A Semiimplicit Numerical Scheme for Reacting Flow: II. Stiff, OperatorSplit Formulation

A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces

A bubblestabilized finite element method for Dirichlet constraints on embedded interfaces

A central limit theorem for pulled fronts in a random medium

A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator

A conservative nodal variational multiscale method for Lagrangian shock hydrodynamics

A contact searching algorithm including bounding volume trees applied to finite sliding mortar formulations

A cornerfree truncation strategy for FDTD method in target scattering

A cubic scaling algorithm for excited states calculations in particle–particle random phase approximation

A decay theorem for refinable functions

A degenerate plaplacian kellersegel model

A diabatic surface hopping algorithm based on time dependent perturbation theory and semiclassical analysis

A discontinuous Galerkin method for gravitydriven viscous fingering instabilities in porous media

A discontinuous galerkin method for gravitydriven viscous fingering instabilities in porous media

A discourse on Galilean invariance, SUPG stabilization, and the variational multiscale framework

A dispersive regularization for the modified camassa–holm equation

A dynamic variational multiscale method for viscoelasticity using linear tetrahedral elements

A fast accurate boundary integral method for potentials on closely packed cells

A finite element formulation for rod/continuum interactions: The one‐dimensional slideline

A finite element formulation of thermomechanical ratedependent frictional sliding

A finite element method for crack growth without remeshing

A fourth order numerical method for the primtive equations formulated in mean vorticity

A frameinvariant vector limiter for flux corrected nodal remap in arbitrary LagrangianEulerian flow computations

A framework for adaptive multiscale methods for elliptic problems

A framework for datadriven analysis of materials under uncertainty: Countering the curse of dimensionality

A frequency determination method for digitized NMR signals

A fully coupled mixed finite element method for surfactants spreading on thin liquid films

A fullycoupled upwind discontinuous Galerkin method for incompressible porous media flows: Highorder computations of viscous fingering instabilities in complex geometry

A generalized definition of caputo derivatives and its application to fractional odes

A generalized view on Galilean invariance in stabilized compressible flow computations

A geometricallyconservative, synchronized, fluxcorrected remap for arbitrary LagrangianEulerian computations with nodal finite elements

A gradientbased optimization approach for the detection of partially connected surfaces using vibration tests

A heterogeneous multiscale modeling framework for hierarchical systems of partial differential equations

A high resolution Lagrangian method using nonlinear hybridization and hyperviscosity

A highorder, fully coupled, upwind, compact discontinuous Galerkin method for modeling of viscous fingering in compressible porous media

A hybrid FETDFDTD method with nonconforming meshes

A hybrid extended finite element/level set method for modeling phase transformations

A jang equation approach to the penrose inequality

A knowledgebased program for diagnosing metallurgical failures

A large deformation mortar formulation of self contact with finite sliding

A modified momentfitted integration scheme for XFEM applications with historydependent material data

A mortar segmenttosegment contact method for large deformation solid mechanics

A mortar segmenttosegment frictional contact method for large deformations

A mortarfinite element approach to lubricated contact problems

A mortarfinite element formulation for frictional contact problems

A mortared finite element method for frictional contact on arbitrary interfaces

A multiscale residualbased antihourglass control for compatible staggered Lagrangian hydrodynamics

A multigrid solver for twodimensional stochastic diffusion equations

A multipolebased algorithm for efficient calculation of forces and potentials in macroscopic periodic assemblies of particles

A multiscale butterfly algorithm for multidimensional fourier integral operators

A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method

A multiscale mass scaling approach for explicit time integration using proper orthogonal decomposition

A multiscale pressure splitting of the shallowwater equations. I. Formulation and 1D tests (vol 166, pg 116, 2001)

A narrowband gradientaugmented level set method for multiphase incompressible flow

A new efficient 3D Discontinuous Galerkin Time Domain (DGTD) method for large and multiscale electromagnetic simulations

A new method for simulating rigid body motion in incompressible twophase flow

A new solution procedures for application of energyconserving algorithms to general constitutive models in nonlinear elastodynamics

A new upwind flux for a jump boundary condition applied to 3D viscous fracture modeling

A note on MongeAmpère KellerSegel equation

A note on deconvolution with completely monotone sequences and discrete fractional calculus

A note on enrichment functions for modelling crack nucleation

A note on onedimensional time fractional ODEs

A note on the treatment of frictionless contact between non‐smooth surfaces in fully non‐linear problems

A numerical method for a secondgradient theory of incompressible fluid flow

A numerical method for coupling the BGK model and Euler equations through the linearized Knudsen layer

A numerical method for the study of nucleation of ordered phases

A numerical strategy for investigating the kinetic response of stimulusresponsive hydrogels

A partially implicit hybrid method for computing interface motion in stokes flow

A phasefield formulation for dynamic cohesive fracture

A posteriori initial imperfection identification in shell buckling problems

A probabilistic model for bounded elasticity tensor random fields with application to polycrystalline microstructures

A proof that a discrete delta function is secondorder accurate

A random field model for anisotropic strain energy functions and its application for uncertainty quantification in vascular mechanics

A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow

A regularization method for the numerical solution of periodic Stokes flow

A robust Nitsche's formulation for interface problems

A robust Nitsche's formulation for interface problems with splinebased finite elements

A secondorder Godunov algorithm for twodimensional solid mechanics

A segmenttosegment mortar contact method for quadratic elements and large deformations

A semiLagrangian double Fourier method for the shallow water equations on the sphere

A short proof of the logarithmic Bramson correction in FisherKPP equations

A simple proof of the CuckerSmale flocking dynamics and meanfield limit

A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: A dynamic variational multiscale approach

A source sensitivity approach for source localization in steadystate linear systems

A sparse spectral method for homogenization multiscale problems

A spectral element approach for the stability of delay systems

A spectral finite element approach to modeling soft solids excited with highfrequency harmonic loads

A stochastic compartmental model for fast axonal transport

A stochastic particlemesh scheme for uncertainty propagation in vortical flows

A stochastic projection method for fluid flow. I. Basic formulation

A stochastic projection method for fluid flow. II. Random process

A sublinear scaling algorithm for computing the electronic structure of materials

A theory of pad conditioning for chemicalmechanical polishing

A threedimensional surfacetosurface projection algorithm for noncoincident domains

A variational multiscale finite element method for monolithic ALE computations of shock hydrodynamics using nodal elements

A velocity decomposition approach for moving interfaces in viscous fluids

A velocity/stress mixed stabilized nodal finite element for elastodynamics: Analysis and computations with strongly and weakly enforced boundary conditions

A vicinal surface model for epitaxial growth with logarithmic free energy

A weak trapezoidal method for a class of stochastic differential equations

AN AUGMENTED LAGRANGIAN TREATMENT OF CONTACT PROBLEMS INVOLVING FRICTION

ATLAS: A geometric approach to learning highdimensional stochastic systems near manifolds

Accurate computation of Stokes flow driven by an open immersed interface

Accurate, stable and efficient NavierStokes solvers based on explicit treatment of the pressure term

Adaptive Eulerian framework for boiling and evaporation

Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation

Adaptive mesh refinement and multilevel iteration for flow in porous media

Adaptive refinement of hierarchical Bspline finite elements with an efficient data transfer algorithm

Algorithm for the matrixfree solution of quasistatic frictional contact problems

Algorithmic Challenges in Computational Molecular Biophysics

Algorithmic symmetrization of coulomb frictional problems using augmented lagrangians

An FFT based fast poisson solver on spherical shells

An Immersed Interface Method for Axisymmetric Electrohydrodynamic Simulations in Stokes flow

An accurate front capturing scheme for tumor growth models with a free boundary limit

An adaptive local reduced basis method for solving PDEs with uncertain inputs and evaluating risk

An algorithm for incorporation of frictional sliding conditions within a steady state rolling framework

An algorithm for the matrixfree solution of quasistatic frictional contact problems

An allspeed asymptoticpreserving method for the isentropic Euler and NavierStokes equations

An assumedgradient finite element method for the level set equation

An asymptotic preserving method for transport equations with oscillatory scattering coefficients

An augmented Lagrangian quasi‐Newton solver for constrained nonlinear finite element applications

An augmented lagrangian treatment of contact problems involving friction

An efficient algorithm for scalar PDF modelling in incompressible turbulent flow; numerical analysis with evaluation of IEM and IECM micromixing models

An efficient finite element method for embedded interface problems

An efficient numerical method for the twofluid Stokes equations with a moving immersed boundary

An energetic variational approach for ion transport

An energy consistent frictional dissipating algorithm for particle contact problems

An energy stable C^{0}
finite element scheme for a quasiincompressible phasefield model of moving contact line with variable density

An energypreserving MACYee scheme for the incompressible MHD equation

An enhanced energy conserving time stepping algorithm for frictionless particle contacts

An exact Riemann solver for wave propagation in arbitrary anisotropic elastic media with fluid coupling

An exact solution for stokes flow in a channel with arbitrarily large wall permeability

An extended finite element method for modeling crack growth with frictional contact

An implicit boundary element solution with consistent linearization for free surface flows and nonlinear fluidstructure interaction of floating bodies

An invariance principle for random traveling waves in one dimension

An objectoriented framework for reducedorder models using proper orthogonal decomposition (POD)

An optimizationbased phasefield method for continuousdiscontinuous crack propagation

Analysis and computation of some tumor growth models with nutrient: From cell density models to free boundary dynamics

Analysis of an efficient finite element method for embedded interface problems

Analysis of multiscale integrators for multiple attractors and irreversible langevin samplers

Analysis of photonic crystals using the hybrid finiteelement/finitedifference time domain technique based on the discontinuous Galerkin method

Analysis of the error in constitutive equation approach for timeharmonic elasticity imaging

Analysis of the shifted boundary method for the Stokes problem

Analytical and variational numerical methods for unstable miscible displacement flows in porous media

Analytical validation of a continuum model for the evolution of a crystal surface in multiple space dimensions

Anisotropic adaptive stabilized finite element solver for RANS models

Anomalous exponents of selfsimilar blowup solutions to an aggregation equation in odd dimensions

Approximate traveling waves in linear reactionhyperbolic equations

Arbitrary branched and intersecting cracks with the extended finite element method

Asymptotic analysis of quantum dynamics in crystals: the BlochWigner transform, Bloch dynamics and Berry phase

Asymptoticpreserving schemes for kineticfluid modeling of disperse twophase flows

Asymptoticpreserving schemes for kineticfluid modeling of disperse twophase flows with variable fluid density

Asymptoticpreserving schemes for kineticfluid modeling of disperse twophase flows with variable fluid density

Asynchronous time integration for polynomial chaos expansion of uncertain periodic dynamics

Augmented projections for ptychographic imaging

Bayesian inference of atomic diffusivity in a binary NI/AL system based on molecular dynamics

Blowup and dissipation in a criticalcase unstable thin film equation

Boundary integral calculations of twodimensional electromagnetic scattering by photonic crystal FabryPerot structures

Boundaryintegral calculations of twodimensional electromagnetic scattering in infinite photonic crystal slabs: Channel defects and resonances

Butterfly factorization

Capillary drops on a rough surface

Carrier frequencies, holomorphy. And unwinding

Chaotic oscillations in mechanical systems

Chaotic oscillations in mechanical systems

Characterization and regularity for axisymmetric solenoidal vector fields with application to navierstokes equation

Coevolutionary algorithm for structural damage identification using minimal physical testing

Comments on a recent paper by W. Zijl

Compression of the electron repulsion integral tensor in tensor hypercontraction format with cubic scaling cost

Compressive sensing for multistatic scattering analysis

Computation of zero β threedimensional equilibria with magnetic islands

Computational aspects of aortic bifurcation flows

Computational modeling of membrane viscosity of red blood cells

Computationally fast harmonic balance methods for unsteady aerodynamic predictions of helicopter rotors

Computationally fast harmonic balance methods for unsteady aerodynamic predictions of helicopter rotors

Computer aided analysis of 1D compressible flow problems in a Lagrangian particle description using the α method

Conservation Laws of Mixed Type Describing ThreePhase Flow in Porous Media

Conservative and adaptive levelset method for the simulation of twofluid flows

Conservative multiimplicit spectral deferred correction methods for reacting gas dynamics

Consistent mesh tying methods for topologically distinct discretized surfaces in nonlinear solid mechanics

Contact  Impact modeling in explicit transient dynamics

Contact  Impact modeling in explicit transient dynamics

Continuous and discrete one dimensional autonomous fractional odes

Continuum dynamics of the intention field under weakly cohesive social interaction

Continuumbased finite element formulation for the implicit solution of multibody, large defromation frictional contact problems

Controllable states of rigid heat conductors

Convergence analysis of the vortex blob method for the bequation

Convergence properties of a nonvariational 3D MHD equilibrium code

Coordinate transformation and Polynomial Chaos for the Bayesian inference of a Gaussian process with parametrized prior covariance function

Coupling volumeoffluid based interface reconstructions with the extended finite element method

Creation of an idealized nasopharynx geometry for accurate computational fluid dynamics simulations of nasal airflow in patientspecific models lacking the nasopharynx anatomy.

Critical wave speeds for a family of scalar reactiondiffusion equations

Crystal image analysis using 2D synchrosqueezed transforms

Cubic scaling algorithms for RPA correlation using interpolative separable density fitting

Cubic spline collocation method for the shallow water equations on the sphere

Curvature of caustics and singularities of gravitational lenses

DDM solutions of quasiperiodic transmission problems in layered
media via robust boundary integral equations at all frequencies

DECAY TO EQUILIBRIUM FOR THE CARLEMAN MODEL IN A BOX.

Data clustering based on Langevin annealing with a selfconsistent potential

Decay of solutions to nonlinear parabolic equations: renormalization and rigorous results

Deep multiscale model learning

Density matrix minimization with ℓ1 regularization

Departures from Fourier's law

Design of energy conserving algorithms for frictionless dynamic contact problems

Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics

Diffusion maps, reduction coordinates, and low dimensional representation of stochastic systems

Discrete models of force chain networks

Discreteintime random particle blob method for the KellerSegel equation and convergence analysis

Distance functions and geodesics on submanifolds of ℝ ^{d}
and point clouds

Domain decomposition for quasiperiodic scattering by layered media via robust boundaryintegral equations at all frequencies

Dualscale Galerkin methods for Darcy flow

Dynamic les of colliding vortex rings using a 3d vortex method

Dynamic numerical method for models of the urine concentrating mechanism

Dynamics in a kinetic model of oriented particles with phase transition

Effects of small viscosity and far field boundary conditions for hyperbolic systems

Efficient O (N) integration for allelectron electronic structure calculation using numeric basis functions

Efficient determination of higherorder periodic solutions using nmode harmonic balance

Eigenmode analysis of unsteady flows about airfoils

Eigenvalue calculation procedure for an Euler/NavierStokes solver with application to flows over airfoils

Elastoplasticity with linear tetrahedral elements: A variational multiscale method

Energy and helicity preserving schemes for hydro and magnetohydrodynamics flows with symmetry

Energy consistent algorithms for dynamic finite deformation plasticity

Energy consistent algorithms for frictional contact problems

Enhancement of combustion by drift in a coupled reactiondiffusion model

Enrichment of enhanced assumed strain approximations for representing strong discontinuities: Addressing volumetric incompressibility and the discontinuous patch test

Equilibrium interface solutions of a degenerate singular CahnHilliard equation

Erratum: "Dynamic LES of colliding vortex rings using a 3D vortex method" (Journal of Computational Physics (1999) vol. 152 (305345))

Erratum: An efficient finite element method for embedded interface problems

Erratum: Lattice point methods for combinatorial games (Advances in Applied Mathematics (2011) 46:1 (363378))

Erratum: Suppression of blowup in patlakkellersegel via shear flows (SIAM Journal on Mathematical Analysis (2017) 49 (47224766) DOI: 10.1137/16M1093380)

Error estimates of the aggregationdiffusion splitting algorithms for the KellerSegel equations

Essentially compact schemes for unsteady viscous incompressible flows

Exact solution for the extensional flow of a viscoelastic filament

Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rodlike particles

Existence of KPP type fronts in spacetime periodic shear flows and a study of minimal speeds based on variational principle

Existence of weak solutions for particleladen flow with surface tension

Existence theorems for a multidimensional crystal surface model

Experimental validation of a transportbased imaging method in highly scattering environments

Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives

Explicit finite element implementation of an improved three dimensional constitutive model for shape memory alloys

Exponential Asymptotics for Thin Film Rupture.

Far field boundary condition for convection diffusion equation at zero viscosity limit

Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems

Fast computation of weighted distance functions and geodesics on implicit hypersurfaces

Fast construction of hierarchical matrix representation from matrixvector multiplication

Fast inhomogeneous plane wave algorithm for homogeneous dielectric body of revolution

Fast threedimensional electromagnetic nonlinear inversion in layered media with a novel scattering approximation

Fine scale uncertainty in parameter estimation for elliptic equations

Finite Difference Methods for 3D Viscous Incompressible Flows in the VorticityVector Potential Formulation on Nonstaggered Grids

Finite difference schemes for incompressible flow based on local pressure boundary conditions

Finite difference schemes for incompressible flows in the velocity  impulse density formulation

Flow on sweeping networks

Formal theory concerning the generation and propagation of travelling wavefronts in reactiondiffusion equations

Formulation, analysis and numerical study of an optimizationbased conservative interpolation (remap) of scalar fields for arbitrary LagrangianEulerian methods

Fourth order partial differential equations on general geometries

Front Tracking for Shear Bands in an Antiplane Shear Model

Frozen Gaussian approximation for high frequency wave propagation

Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods

Fullanisotropic poroelastic wave modeling: A discontinuous Galerkin algorithm with a generalized wave impedance

Functional approximation and projection of stored energy functions in computational homogenization of hyperelastic materials: A probabilistic perspective

Galilean invariance and stabilized methods for compressible flows

Gauge finite element method for incompressible flows

Gaussian Approximations for Transition Paths in Brownian Dynamics

Generalized aerodynamic forces on flexible plate undergoing transient motion

Generalized finite element method using proper orthogonal decomposition

Generalized stochastic approach for constitutive equation in linear elasticity: A random matrix model

Geometric ergodicity of twodimensional hamiltonian systems with a LennardJoneslike repulsive potential

Global convergence of a sticky particle method for the modified CamassaHolm equation

Global existence for a thin film equation with subcritical mass

Global regularity for 1D eulerian dynamics with singular interaction forces

Global stability for solutions to the exponential PDE describing epitaxial growth

Globally constructed adaptive local basis set for spectral projectors of second order differential operators

Going to new lengths: Studying the NavierStokesαβ equations using the strained spiral vortex model

Gravitydriven thin liquid films with insoluble surfactant: Smooth traveling waves

Gunn effect: Instability of the steady state and stability of the solitary wave in long extrinsic semiconductors

Hemodynamic features in stenosed coronary arteries: CFD analysis based on histological images

Hierarchical optimization for neutron scattering problems

High fidelity anisotropic adaptive variational multiscale method for multiphase flows with surface tension

High order accurate vortex methods with explicit velocity kernels

High order finite difference methods for unsteady incompressible flows in multiconnected domains

Highorder gradients with the shifted boundary method: An embedded enriched mixed formulation for elliptic PDEs

Highorder multiimplicit spectral deferred correction methods for problems of reactive flow

Highresolution 3D radar imaging through nonuniform fast Fourier transform (NUFFT)

Homogenization for chemical vapor infiltration process

Homogenization of the Gequation with incompressible random drift in two dimensions

Hydrodynamics of selfalignment interactions with precession and derivation of the LandauLifschitzGilbert equation

Immune system aging may be affected by HIV infection: The mathematical model of immunosenescence

Implicit finite incompressible elastodynamics with linear finite elements: A stabilized method in rate form

Imposing dirichlet boundary conditions with Nitsche's method and splinebased finite elements

Improved ThinTube Models for Slender Vortex Simulations

Improved implicit integrators for transient impact problems  Geometric admissibility within the conserving framework

Improved implicit integrators for transient impact problems  dynamic frictional dissipation within an admissible conserving framework

Improving homology estimates with random walks

Improving the accuracy of convexity splitting methods for gradient flow equations

In situ compressive sensing

In situ compressive sensing

Inferring interaction rules from observations of evolutive systems I: The variational approach

Infinite dimensional stochastic differential equation models for spatially distributed neurons

Interface methods for biological and biomedical problems.

Introduction to practical asymptotics III

Introduction to special issue on reflections in nonlinear mechanics

Introduction to “A Fast Algorithm for Particle Simulations”

Invariant geometric evolutions of surfaces and volumetric smoothing

Invariant measure selection by noise. An example

Inverse Material Identification in Coupled AcousticStructure Interaction using a Modified Error in Constitutive Equation Functional.

Inverse scattering with sparse Bayesian vector regression

Inverse viscoelastic material characterization using POD reducedorder modeling in acousticstructure interaction

Inversion of multifrequency experimental data for imaging complex objects by a DTACSI method

Isogeometric analysis of Lagrangian hydrodynamics

KPP fronts in a onedimensional random drift

Kernel sliced inverse regression: Regularization and consistency

Kinetic and viscous boundary layers for broadwell equations

Kinetic formulation and global existence for the hallmagnetohydrodynamics system

Kinetic modeling of multiple scattering of elastic waves in heterogeneous anisotropic media

LOAD DISTRIBUTION IN A STAR CONFIGURED SYSTEM WITH ERRORPRONE CHANNELS

Lagrangian shock hydrodynamics on tetrahedral meshes: A stable and accurate variational multiscale approach

Large Scale Parameter Estimation Problems in FrequencyDomain Elastodynamics Using an Error in Constitutive Equation Functional.

Lattice point methods for combinatorial games

Learning interacting particle systems: Diffusion parameter estimation for aggregation equations

Learning multiscale sparse representations for image and video restoration

Linear stability of sourcetype similarity solutions of the thin film equation

Localized density matrix minimization and linearscaling algorithms

Locally corrected semiLagrangian methods for Stokes flow with moving elastic interfaces

Lubrication models with small to large slip lengths

Macroscopic fluid models with localized kinetic upscaling effects

Mass conservation in a dynamic numerical method for a model of the urine concentrating mechanism

Mathematical Aeroelasticity: A Survey

Mathematical and numerical aspects of the adaptive fast multipole PoissonBoltzmann solver

Mathematical theory of solids: From quantum mechanics to continuum models

Meanfield games and model predictive control

Merging traveling waves for the porousFisher's equation

Mesh tying on curved interfaces in 3D

Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projectionbased reduced order models for the compressible NavierStokes equations

Mixed spectral element method for 2D Maxwell's eigenvalue problem

Modal reduction of mathematical models of biological molecules

Modeling Low Mach Number Reacting Flow with Detailed Chemistry and Transport

Modeling a semiflexible filament in cellular Stokes flow using regularized Stokeslets

Modeling arteriolar flow and mass transport using the immersed boundary method

Modeling uncertainties in molecular dynamics simulations using a stochastic reducedorder basis

Morse description and morphological encoding of continuous data

Mortar contact formulations for deformabledeformable contact: Past contributions and new extensions for enriched and embedded interface formulations

Mortarbased surfacetosurface contact algorithms in large deformation solid mechanics

Multiresolution analysis of Wienertype uncertainty propagation schemes

Multiscale Lagrangian shock hydrodynamics on Q1/P0 finite elements: Theoretical framework and twodimensional computations

Multidimensional degenerate KellerSegel system with critical diffusion exponent 2n/(n + 2)

Multiresolution analysis for material design

Multiscale stochastic preconditioners in nonintrusive spectral projection

Nearly singular integrals in 3D stokes flow

Neural timing in highly convergent systems

Neurotransmitter concentrations in the presence of neural switching in one dimension

Nitsche's Method For Helmholtz Problems with Embedded Interfaces.

NonGaussian positivedefinite matrixvalued random fields with constrained eigenvalues: Application to random elasticity tensors with uncertain material symmetries

Nonlinear Differential Equations, Mechanics and Bifurcation

Nonlinear Elastic Plate in a Flow of Gas: Recent Results and Conjectures

Nonlinear regularization techniques for seismic tomography

Numerical Simulation of a Thermoacoustic Refrigerator: II. Stratified Flow around the Stack

Numerical algorithms for strong discontinuities in elasticplastic solids

Numerical integration of the Galerkin weak form in meshfree methods

Numerical methods for fluidstructure interaction  A review

Numerical methods for multimaterial fluids and structures (MULTIMAT2009)

Numerical scheme for a spatially inhomogeneous matrixvalued quantum Boltzmann equation

Numerical simulation of a thermoacoustic refrigerator I. Unsteady adiabatic flow around the stack

Numerical simulations of fiber sedimentation in Navierstokes flows

Numerical solution of the FokkerPlanck equation via chebyschev polynomial approximations with reference to first passage time probability density functions

Numerical solution of threedimensional magnetic differential equations

Numerical study of a threedimensional vortex method

Numerical study of sound emission by 2D regular and chaotic vortex configurations

O(N) implementation of the fast marching algorithm

On a SchrödingerLandauLifshitz system: Variational structure and numerical methods

On characterizing rigid heat conductors

On computational fluid dynamics models for sinonasal drug transport: Relevance of nozzle subtraction and nasal vestibular dilation.

On methods for stabilizing constraints over enriched interfaces in elasticity

On strategies for enforcing interfacial constraints and evaluating jump conditions with the extended finite element method

On the Insufficiency of Controllable States to Characterize a Class of Rigid Heat Conductors

On the angular momentum conservation and incremental objectivity properties of a predictor/multicorrector method for Lagrangian shock hydrodynamics

On the approximation of the thermal conductivity of rigid heat conductors as a Cauchy Problem

On the completeness of meshfree particle methods

On the constitutive modeling and finite element computation of ratedependent frictional sliding in large deformations

On the development of thermodynamically consistent algorithms for thermomechanical frictional contact

On the possibility of immune response control based on parameterization and a mathematical model of molecular cellular kinetics

On the rate of convergence of empirical measure in ∞Wasserstein distance for unbounded density function

On the robustness of variational multiscale error estimators for the forward propagation of uncertainty

On the solvability of Painleve I, III and V

On the wellposedness of the stochastic AllenCahn equation in two dimensions

Online learning in optical tomography: A stochastic approach

Operator splitting and adaptive mesh refinement for the LuoRudy I model

Optimal Bayesian Experimental Design for Priors of Compact Support with Application to ShockTube Experiments for Combustion Kinetics

Optimized local basis set for Kohn–Sham density functional theory

Orbital minimization method with ℓ^{1}
regularization

Parabolic behavior of a hyperbolic delay equation

Parallel in time approximation of the lattice Boltzmann method for laminar flows

Parallelization of the Volterra algorithm for linear optimal open loop control

Partially implicit motion of a sharp interface in NavierStokes flow

Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices

Phase transitions for a planar quadratic contact process

Planewave analysis of a hyperbolic system of equations with relaxation in ℝ^{d}

Point cloud discretization of Fokkerplanck operators for committor functions

Polyhedral computational geometry for averaging metric phylogenetic trees

Positive feedback control of RayleighBénard convection

Positivity property of secondorder fluxsplitting schemes for the compressible Euler equations

Preconditioned Bayesian Regression for Stochastic Chemical Kinetics

Preconditioned Bayesian regression for stochastic chemical kinetics

Preconditioning orbital minimization method for planewave discretization

Preface

Preface

Preface to the special issue on “Thin films and fluid interfaces”

Preface: Special issue on fluid dynamics, analysis and numerics

Preface: Special issue on fluid motion driven by immersed structures

Pressuredipole solutions of the thinfilm equation

Probability measures on the space of persistence diagrams

RECFMM: Recursive Parallelization of the Adaptive Fast Multipole Method for Coulomb and Screened Coulomb Interactions

Random Batch Methods (RBM) for interacting particle systems

Reactiondiffusion front speeds in spatiallytemporally periodic shear flows

Reconstruction of 3D objects from multifrequency experimental data with a fast DBIMBCGS method

Reconstruction of axisymmetric media with an FFHTenhanced extended born approximation

Recursive diffeomorphismbased regression for shape functions

Reduced order dynamic model for polysaccharides molecule attached to an atomic force microscope

Refined hypercontractivity and uniqueness for the Keller–Segel equations

Reflecting uncertainty in inverse problems: A Bayesian solution using Lévy processes

Regularized reconstruction of water surfaces from noisy gradient information via planewave superposition

Regularized single and double layer integrals in 3D Stokes flow

Reinitialization of the LevelSet Function in 3d Simulation of Moving Contact Lines

Remeshing strategies for large deformation problems with frictional contact and nearly incompressible materials

Residualfree bubbles for embedded Dirichlet problems

Resonance and bound states in photonic crystal slabs

Resonant instability and nonlinear wave interactions in electrically forced jets

Response and recovery times of elastic and viscoelastic capsules in shear flow

Robust imposition of Dirichlet boundary conditions on embedded surfaces

STABLE DISCRETIZATION OF MAGNETOHYDRODYNAMICS IN BOUNDED DOMAINS

Scaling limit of the Stein variational gradient descent: The mean field regime

Scaling limit of the Stein variational gradient descent: the mean field regime

Seamless multiscale modeling via dynamics on fiber bundles

Secondorder PML: Optimal choice of nthorder PML for truncating FDTD domains

Secondary circulation in granular flow through nonaxisymmetric hoppers

Semigroups of stochastic gradient descent and online principal component analysis: Properties and diffusion approximations

Sensitivity to switching rates in stochastically switched ODEs

Sequential multiscale modelling using sparse representation

Shape recovery of elastic capsules fromshear flow induced deformation

Shock capturing, level sets, and PDE based methods in computer vision and image processing: A review of Osher's contributions

Shock formation in a multidimensional viscoelastic diffusive system

Shocks in nonlinear diffusion

Shorttime pattern formation in thin film equations

Signal transduction in a compliant short loop of Henle.

Similarity solutions of the lubrication equation

Simple Finite Element Numerical Simulation of Incompressible Flow Over Nonrectangular Domains and the SuperConvergence Analysis

Simplified CSP analysis of a stiff stochastic ODE system

Slip at a uniformly porous boundary: effect on fluid flow and mass transfer

Snooping in the sand

Solving thermal and phase change problems with the eXtended finite element method

Solving variational problems and partial differential equations mapping into general target manifolds

Some compactness criteria for weak solutions of time fractional pdes

Some nonsmooth dynamical systems in offshore mechanics

Sparse Pseudo Spectral Projection Methods with Directional Adaptation for Uncertainty Quantification

Sparsifying preconditioner for soliton calculations

Sparsityenforcing regularisation and ISTA revisited

Special Issue: Advances in Embedded Interface Methods

Spectral element method for elastic and acoustic waves in frequency domain

Spectral properties of the TGF pathway

Spectrum of a linearized amplitude equation for alternans in a cardiac fiber

Spurious solutions in mixed finite element method for Maxwell's equations: Dispersion analysis and new basis functions

Stability analysis of a predictor/multicorrector method for staggeredgrid Lagrangian shock hydrodynamics

Stability and a posteriori error analysis of discontinuous Galerkin methods for linearized elasticity

Stability and dynamics of selfsimilarity in evolution equations

Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness

Stabilized methods for compressible flows

Stabilized shock hydrodynamics: I. A Lagrangian method

Stabilized shock hydrodynamics: II. Design and physical interpretation of the SUPG operator for Lagrangian computations

Stable and accurate pressure approximation for unsteady incompressible viscous flow

Stable discretization of magnetohydrodynamics in bounded domains

Stable imposition of stiff constraints in explicit dynamics for embedded finite element methods

Steady and intermittent slipping in a model of landslide motion regulated by porepressure feedback

Steady states and dynamics of a thinfilmtype equation with nonconserved mass

Stochastic continuum modeling of random interphases from atomistic simulations. Application to a polymer nanocomposite

Stochastic dynamical lowrank approximation method

Stochastic model and generator for random fields with symmetry properties: Application to the mesoscopic modeling of elastic random media

Stochastic modeling and identification of a hyperelastic constitutive model for laminated composites

Stochastic modeling of the Ogden class of stored energy functions for hyperelastic materials: the compressible case

Stochastic multiscale analysis in hydrodynamic lubrication

Stochastic multiscale modeling of crack propagation in random heterogeneous media

Stochastic reduced order models for inverse problems under uncertainty.

Stopping and merging problems for the porous media equation

Strang splitting methods for a quasilinear Schrödinger equation: Convergence, instability, and dynamics

Suitability of lattice Boltzmann inlet and outlet boundary conditions for simulating flow in imagederived vasculature.

Suppression of blowup in patlakkellersegel via shear flows

SurrogateModel Accelerated Random Search algorithm for global optimization with applications to inverse material identification

Symmetry and selfsimilarity in rupture and pinchoff: A geometric bifurcation

Synchrosqueezingbased recovery of instantaneous frequency from nonuniform samples

T cell sensitivity and specificity  Kinetic proofreading revisited

The NavierStokesαβ equations as a platform for a spectral multigrid method to solve the NavierStokes equations

The Reconstruction of Upwind Fluxes for Conservation Laws: Its Behavior in Dynamic and Steady State Calculations

The Shifted Interface Method: A flexible approach to embedded interface computations

The Small Dispersion Limit of the KortewegDevries Equation

The cellular dynamics of bone remodeling: A mathematical model

The continuum limit and QMcontinuum approximation of quantum mechanical models of solids

The decay of solutions of the Carleman model

The effects of a complexation reaction on travelling wavefronts in a quadratic autocatalytic system

The effects of numerical viscosities: I. Slowly moving shocks

The equations of 1D compressible flow with area change in a Lagrangian particle description

The factorization method for inverse elastic scattering from periodic structures

The geometric solution of Laplace's equation

The linear limit of the dipole problem for the thin film equation

The modified CamassaHolm equation in Lagrangian coordinates

The onset of instability in exact vortex rings with swirl

The shifted boundary method for embedded domain computations. Part I: Poisson and Stokes problems

The shifted boundary method for embedded domain computations. Part II: Linear advection–diffusion and incompressible Navier–Stokes equations

The shifted boundary method for hyperbolic systems: Embedded domain computations of linear waves and shallow water flows

Theoretical and experimental analysis of a randomized algorithm for Sparse Fourier transform analysis

Thin film epitaxy with or without slope selection

ThreePhase Model of ViscoElastic Incompressible Fluid Flow and its Computational Implementation

Threedimensional transient elastodynamic inversion using an error in constitutive relation functional

Threedimensional vortex simulation of rollup and entrainment in a shear layer

Timefrequency localisation operatorsa geometric phase space approach: II. The use of dilations

Total variation regularization for image denoising, geometric theory

Total variation regularization for image denoising: I. Geometric theory
using total variation regularization; II Examples.

Toward robust and accurate contact solvers for large deformation applications: A remapping/adaptivity framework for mortarbased methods

Toward robust and accurate contact solvers for large deformation applications: a remapping/adaptivity framework for mortarbased methods

Traction boundary conditions for molecular static simulations

Transition from quasiperiodicity to chaos for three coaxial vortex rings

Two dimensional mortar contact methods for large deformation frictional sliding

Two nonlinear compactness theorems in L^{p}
(0,T;B)

Ultracontractivity for kellersegel model with diffusion exponent m > 12/d

Uncertainty propagation using WienerHaar expansions

Uncertainty quantification in MD simulations. PART II: Bayesian inference of forcefield parameters

Uncertainty quantification in MD simulations. Part I: Forward propagation

Unified Riemann solution for multiphysics coupling: Anisotropic poroelastic/elastic/fluid interfaces

Unified adaptive Variational MultiScale method for two phase compressibleincompressible flows

Uniform L^{∞}
boundedness for a degenerate parabolicparabolic KellerSegel model

Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces

Validity of the Quasigeostrophic Model for LargeScale Flow in the Atmosphere and Ocean

Variational multiscale residualbased turbulence modeling for large eddy simulation of incompressible flows

Variational problems and partial differential equations on implicit surfaces

Vibrations of twisted cantilever plates—a comparison of theoretical results

Visibility and its dynamics in a PDE based implicit framework

Volumetric fast multipole method for modeling Schrödinger's equation

Volumetric locking in the element free Galerkin method

Vortex blob methods applied to interfacial motion

Vortical flow outside a sphere and sound generation

Vorticity boundary condition and related issues for finite difference schemes

Wave propagation and resonance in a onedimensional nonlinear discrete periodic medium

Weak boundary conditions for wave propagation problems in confined domains: Formulation and implementation using a variational multiscale method

Weak solution of a continuum model for vicinal surface in the attachmentdetachmentlimited regime

Wellposedness for the kellersegel equation with fractional laplacian and the theory of propagation of chaos

Widearea detection of land mines and unexploded ordnance

Keywords of People