
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.

5D respiratory motion model based image reconstruction algorithm for 4D conebeam computed tomography

A Bayesian analysis of the thermal challenge problem

A CLASS OF FUNCTIONAL INEQUALITIES AND THEIR APPLICATIONS TO FOURTHORDER NONLINEAR PARABOLIC EQUATIONS

A Concurrent Global–Local Numerical Method for Multiscale PDEs

A Cubic Scaling Algorithm for Excited States Calculations in ParticleParticle Random Phase Approximation

A DataDriven Approach for Multiscale Elliptic PDEs with Random Coefficients Based on Intrinsic Dimension Reduction

A Fast Sweeping Method for Static Convex Hamilton–Jacobi Equations

A FastForward Solver of Radiative Transfer Equation

A Fourierseriesbased kernelindependent fast multipole method

A Fourth Order Scheme for Incompressible Boussinesq Equations

A HighOrder Discontinuous Galerkin Method for 2D Incompressible Flows

A Hybrid Method for Moving Interface Problems with Application to the Hele–Shaw Flow

A Kernelfree Boundary Integral Method for Elliptic Boundary Value Problems.

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 New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton–Jacobi Equations

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 Numerical Study of Electromigration Voiding by Evolving Level Set Functions on a Fixed Cartesian Grid

A PDEBased Fast Local Level Set Method

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

A Variational Level Set Approach to Multiphase Motion

A Variational PhaseField Model For Ductile Fracture with Coalescence Dissipation

A blended transient/quasistatic Lagrangian framework for salt tectonics simulations with stabilized tetrahedral finite elements

A bubblestabilized finite element method for Dirichlet constraints on embedded interfaces

A cell based particle method for modeling dynamic 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 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 direct imaging algorithm for extended targets

A direct imaging method using farfield data

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 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 grid based particle method for evolution of open curves and surfaces

A grid based particle method for moving interface problems

A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion

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 approach to solve the highfrequency Helmholtz equation with source singularity in smooth heterogeneous media

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 levelset method for interfacial flows with surfactant

A linearscaling quantum mechanical investigation of cytidine deaminase

A lowrank schwarz method for radiative transfer equation with heterogeneous scattering coefficient

A markov jump process modelling animal group size statistics

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

A mortared finite element method for frictional contact on arbitrary interfaces

A multiscale residualbased antihourglass control for compatible staggered Lagrangian hydrodynamics

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

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 narrowband gradientaugmented level set method for multiphase incompressible flow

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

A new phase space method for recovering index of refraction from travel times

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 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 method to compute Fisher information for a special case of heterogeneous negative binomial regression

A numerical strategy for investigating the kinetic response of stimulusresponsive hydrogels

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

A phase field model for mass transport with semipermeable interfaces

A phasefield formulation for dynamic cohesive fracture

A phasefield model of fracture with frictionless contact and random fracture properties: Application to thinfilm fracture and soil desiccation

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 reducedorder shifted boundary method for parametrized incompressible Navier–Stokes equations

A robust Nitsche's formulation for interface problems

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

A second order discontinuous Galerkin fast sweeping method for Eikonal equations

A semiimplicit augmented IIM for Navier–Stokes equations with open, traction, or free boundary conditions

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 structure preserving numerical scheme for FokkerPlanck equations of neuron networks: Numerical analysis and exploration

A sublinear scaling algorithm for computing the electronic structure of materials

A theory of pad conditioning for chemicalmechanical polishing

A tumor growth model with autophagy: The reaction(cross)diffusion system and its free boundary limit

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 formulation for solving elliptic interface problems without body fitted grid

A weak trapezoidal method for a class of stochastic differential equations

A weighted Shifted Boundary Method for free surface flow problems

ADDENDUM TO “GAUGE METHOD FOR VISCOUS INCOMPRESSIBLE FLOWS”*

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

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

Algebraic voting theory & representations of Sm≀Sn

Algorithmic Challenges in Computational Molecular Biophysics

An Eulerian formulation for solving partial differential equations along a moving interface

An FFT based fast Poisson solver on spherical shells

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

An adaptive eigenfunction basis strategy to reduce design dimension in topology optimization

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

An adaptive phase space method with application to reflection traveltime tomography

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 method for free boundary problems with moving contact lines

An efficient algorithm for the generalized Foldy–Lax formulation

An efficient finite element method for embedded interface problems

An energetic variational approach for ION transport

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 errorinconstitutive equations strategy for topology optimization for frequencydomain dynamics

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 extended/generalized phasefield finite element method for crack growth with globallocal enrichment

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 polymeric flow models and related compactness theorems in weighted spaces

Analysis of the Response Matrix for an Extended Target

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

Anomalous diffusion in combshaped domains and graphs

Anomalous dissipation, anomalous work, and energy balance for the navierstokes equations

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

Attaining regularization length insensitivity in phasefield models of ductile failure

Augmented projections for ptychographic imaging

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

Butterflynet: Optimal function representation based on convolutional neural networks

COMPLEXITY OF RANDOMIZED ALGORITHMS FOR UNDERDAMPED LANGEVIN DYNAMICS*

Capillary drops on a rough surface

Capturing the Behavior of Bubbles and Drops Using the Variational Level Set Approach

Carrier frequencies, holomorphy and unwinding

Chaotic oscillations in mechanical systems

Chaotic oscillations in mechanical systems

Characterization and regularity for axisymmetric solenoidal vector elds 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 Modeling of Membrane Viscosity of Red Blood Cells

Computational aspects of aortic bifurcation flows

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

Concepts and Application of TimeLimiters to High Resolution Schemes

Conservation Laws of Mixed Type Describing ThreePhase Flow in Porous Media

Continuous and discrete one dimensional autonomous fractional odes

Continuum dynamics of the intention field under weakly cohesive social interaction

Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics

Controllable states of rigid heat conductors

Convergence analysis of the vortex blob method for the bequation

Convergence of stochasticextended Lagrangian molecular dynamics method for polarizable force field simulation

Convergence properties of a nonvariational 3D MHD equilibrium code

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

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.

DEEP NETWORK APPROXIMATION FOR SMOOTH FUNCTIONS

DEFECT RESONANCES OF TRUNCATED CRYSTAL STRUCTURES

DEVELOPMENT OF FIBRIN BRANCH STRUCTURE BEFORE AND AFTER GELATION.

Data clustering based on Langevin annealing with a selfconsistent potential

Deep network approximation characterized by number of neurons

Density matrix minimization with ℓ1 regularization

Departures from Fourier's law

Determining scattering support of anisotropic acoustic mediums and obstacles

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

Dirac operators and domain walls

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

Dynamics in a kinetic model of oriented particles with phase transition

EXISTENCE of GLOBAL WEAK SOLUTIONS of pNAVIERSTOKES EQUATIONS

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 construction of tensor ring representations from sampling

Efficient determination of higherorder periodic solutions using nmode harmonic balance

Efficient numerical simulation for long range wave propagation

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

Embedded domain Reduced Basis Models for the shallow water hyperbolic equations with the Shifted Boundary Method

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

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: An efficient finite element method for embedded interface problems

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

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 incompressible limit of a tissue growth model with autophagy

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 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.

FROM KINETIC TO FLUID MODELS OF LIQUID CRYSTALS BY THE MOMENT METHOD

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

Fast Localization of Eigenfunctions via Smoothed Potentials

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 sweeping method for the factored eikonal equation

Field model for complex ionic fluids: Analytical properties and numerical investigation

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

Fisher information regularization schemes for Wasserstein gradient flows

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

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

GLOBAL EXISTENCE FOR NERNSTPLANCKNAVIERSTOKES SYSTEM IN R^{N}

Galilean invariance and stabilized methods for compressible flows

Gauge finite element method for incompressible flows

Gauge method for viscous incompressible flows

Gaussian Beam Summation for Diffraction in Inhomogeneous Media Based on the Grid Based Particle Method

Generalized FoldyLax formulation

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 Two–dimensional Hamiltonian systems with a Lennard–Jones–like 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

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

Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface

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

HOMOGENIZATION OF A DISCRETE NETWORK MODEL FOR CHEMICAL VAPOR INFILTRATION PROCESS*

High Order Fast Sweeping Methods for Static Hamilton–Jacobi Equations

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

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

Imaging of location and geometry for extended targets using the response matrix

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

Improving homology estimates with random walks

In situ compressive sensing

In situ compressive sensing

Infinite dimensional stochastic differential equation models for spatially distributed neurons

Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit

Intermediate asymptotics for Richards' equation in a finite layer

Intrinsic complexity and scaling laws: From random fields to random vectors

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

Isogeometric analysis of Lagrangian hydrodynamics

KPP fronts in a onedimensional random drift

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

LIMITING BEHAVIORS OF HIGH DIMENSIONAL STOCHASTIC SPIN ENSEMBLES*

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.

Large Time Behavior, BiHamiltonian Structure, and Kinetic Formulation for a Complex Burgers Equation

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

METROPOLIZED MULTISCALE FOREST RECOMBINATION for REDISTRICTING

Macroscopic fluid models with localized kinetic upscaling effects

Mathematical Aeroelasticity: A Survey

Mathematical Analysis of Electromagnetic Plasmonic Metasurfaces

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

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

Modal reduction of mathematical models of biological molecules

Modeling uncertainties in molecular dynamics simulations using a stochastic reducedorder basis

Momentsbased method for boundary conditions in the lattice Boltzmann framework: A comparative analysis for the lid driven cavity flow

Morse description and morphological encoding of continuous data

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

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

Multiresolution analysis for material design

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 Methods For Stochastic Differential Equations Based On Gaussian Mixture

Numerical Study of SurfactantLaden DropDrop Interactions

Numerical algorithms for strong discontinuities in elasticplastic solids

Numerical integration of the Galerkin weak form in meshfree methods

Numerical methods for multimaterial fluids and structures (MULTIMAT2009)

Numerical scheme for a spatially inhomogeneous matrixvalued quantum Boltzmann equation

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

O(N) implementation of the fast marching algorithm

On Energy Stable RungeKutta Methods for the Water Wave Equation and Its Simplified NonLocal Hyperbolic Model

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 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

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

Preconditioning Orbital Minimization Method for Planewave Discretization

Preface

Preface

Preface

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

Pressuredipole solutions of the thinfilm equation

Probability measures on the space of persistence diagrams

Quantitative PAT with simplified P N approximation

Quantitative propagation of chaos in a bimolecular chemical reactiondiffusion model

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

RIGOROUS JUSTIFICATION OF THE FOKKERPLANCK EQUATIONS OF NEURAL NETWORKS BASED ON AN ITERATION PERSPECTIVE

Random Batch Methods (RBM) for interacting particle systems

Randomized sampling for basis function construction in generalized finite element methods

Reactiondiffusion front speeds in spatiallytemporally periodic shear flows

Reactive Autophobic Spreading of Drops

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

Response and Recovery Times of Elastic and Viscoelastic Capsules in Shear Flow

Revisit of the peierlsnabarro model for edge dislocations in Hilbert space

Robust and Efficient Implicit Surface Reconstruction for Point Clouds Based on Convexified Image Segmentation

Robust imposition of Dirichlet boundary conditions on embedded surfaces

SEEMINGLY STABLE CHEMICAL KINETICS CAN BE STABLE, MARGINALLY STABLE, OR UNSTABLE

Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval

Scalebridging with the extended/generalized finite element method for linear elastodynamics

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 Godunov algorithm for twodimensional solid mechanics

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

Separability of the kernel function in an integral formulation for anisotropic radiative transfer equation

Sequential multiscale modelling using sparse representation

Shape Recovery of Elastic Capsules from Shear 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

Similarity solutions of the lubrication equation

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

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

Snooping in the sand

Solving highdimensional eigenvalue problems using deep neural networks: A diffusion Monte Carlo like approach

Solving parametric PDE problems with artificial neural networks

Solving phase retrieval via graph projection splitting

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 Random Batch Particle Methods for the PoissonNernstPlanck and PoissonBoltzmann Equations

Some compactness criteria for weak solutions of time fractional pdes

Some nonsmooth dynamical systems in offshore mechanics

Sparsifying preconditioner for soliton calculations

Sparsityenforcing regularisation and ISTA revisited

Spatiallydependent material uncertainties in anisotropic nonlinear elasticity: Stochastic modeling, identification, and propagation

Special Issue: Advances in Embedded Interface Methods

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

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 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

Steady states of thin film droplets on chemically heterogeneous substrates

Stochastic Modeling and identification of material parameters on structures produced by additive manufacturing

Stochastic analysis of geometrically imperfect thin cylindrical shells using topologyaware uncertainty models

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 geometrical uncertainties on complex domains, with application to additive manufacturing and brain interface geometries

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.

Stochastic switching in infinite dimensions with applications to random parabolic PDEs

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.

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 geometric solution of Laplace's equation

The highorder Shifted Boundary Method and its analysis

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 secondgeneration Shifted Boundary Method and its numerical analysis

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

The shifted boundary method for solid mechanics

The shifted fracture method

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

Thin film epitaxy with or without slope selection

Threedimensional transient elastodynamic inversion using an error in constitutive relation functional

Threephase Model of Viscoelastic Incompressible Fluid Flow and its Computational Implementation.

Threescale multiphysics finite element framework (FE^{3}
) modelling fault reactivation

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

Toward understanding the boundary propagation speeds in tumor growth models

Towards validation of crack nucleation criteria from Vnotches in quasibrittle metallic alloys: Energetics or strength?

Traction boundary conditions for molecular static simulations

Two Nonlinear Compactness Theorems in L^p(0,T;B)

UNIVERSAL APPROXIMATION OF SYMMETRIC AND ANTISYMMETRIC FUNCTIONS

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

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

Uniformintime weak error analysis for stochastic gradient descent algorithms via diffusion approximation

Universality of the minimum modulus for random trigonometric polynomials

Unsupervised particle sorting for highresolution singleparticle cryoEM

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

Variational training of neural network approximations of solution maps for physical models

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

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