publication venue for

• Data assimilation with an integral-form ensemble square-root filter 2025
• Influence of initial conditions on data-driven model identification and information entropy for ideal mhd problems 2025
• Trapped acoustic waves and raindrops: High-order accurate integral equation method for localized excitation of a periodic staircase 2024
• QuadConv: Quadrature-based convolutions with applications to non-uniform PDE data 2024
• Grid-point requirements for direct kinetic simulation of weakly collisional plasma plume expansion 2023
• GenMod: A generative modeling approach for spectral representation of PDEs with random inputs 2023
• Efficient algorithm for proper orthogonal decomposition of block-structured adaptively refined numerical simulations 2022
• Neural network training using l₁-regularization and bi-fidelity data 2022
• S-frame discrepancy correction models for data-informed Reynolds stress closure 2022
• Spectral estimation from simulations via sketching 2021
• Machine learning techniques to construct patched analog ensembles for data assimilation 2021
• Weak SINDy for partial differential equations 2021
• The fidelity of exponential and IMEX integrators for wave turbulence: Introduction of a new near-minimax integrating factor scheme (vol 434, 109992, 2021) 2021
• Algorithm for flow of highly-concentrated emulsions through a narrow constriction 2021
• The fidelity of exponential and IMEX integrators for wave turbulence: Introduction of anew near-minimax integrating factor scheme 2021
• An alternative extended linear system for boundary value problems on locally perturbed geometries 2021
• Pass-efficient methods for compression of high-dimensional turbulent flow data 2020
• A scalable computational platform for particulate Stokes suspensions 2020
• Transport schemes in spherical geometries using spline-based RBF-FD with polynomials 2020
• Bi-fidelity approximation for uncertainty quantification and sensitivity analysis of irradiated particle-laden turbulence 2020
• WENO interpolation for Lagrangian particles in highly compressible flow regimes 2020
• A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis 2019
• Efficient Fourier basis particle simulation 2019
• Level set methods for stochastic discontinuity detection in nonlinear problems 2019
• Energy-conserving Galerkin approximations for quasigeostrophic dynamics 2019
• Reduction of multivariate mixtures and its applications 2019
• On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries 2019
• On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains 2018
• Basis adaptive sample efficient polynomial chaos (BASE-PC) 2018
• Practical error bounds for a non-intrusive bi-fidelity approach to parametric/stochastic model reduction 2018
• An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations 2018
• Boundary integral equation analysis for suspension of spheres in Stokes flow 2018
• Generalized Bloch mode synthesis for accelerated calculation of elastic band structures 2018
• A fast direct solver for boundary value problems on locally perturbed geometries 2018
• Numerical quadrature over smooth surfaces with boundaries 2018
• An efficient finite element method for simulation of droplet spreading on a topologically rough surface 2017
• Optimization via separated representations and the canonical tensor decomposition 2017
• Methods for the computation of the multivalued Painleve transcendents on their Riemann surfaces 2017
• A low-rank control variate for multilevel Monte Carlo simulation of high-dimensional uncertain systems 2017
• A scalable nonlinear fluid-structure interaction solver based on a Schwarz preconditioner with isogeometric unstructured coarse spaces in 3D 2017
• Seismic modeling with radial basis function-generated finite differences (RBF-FD) - a simplified treatment of interfaces 2017
• A Tensor-Train accelerated solver for integral equations in complex geometries 2017
• An integral equation formulation for rigid bodies in Stokes flow in three dimensions 2017
• On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs 2017
• Stable computations with flat radial basis functions using vector-valued rational approximations 2017
• Fast calculation of Laurent expansions for matrix inverses 2016
• Tensor calculus in polar coordinates using Jacobi polynomials 2016
• Preface to advances in numerical simulation of plasmas 2016
• On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy 2016
• Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations 2016
• The Plasma Simulation Code: A modern particle-in-cell code with patch-based load-balancing 2016
• Variable viscosity and density biofilm simulations using an immersed boundary method, part II: Experimental validation and the heterogeneous rheology-IBM 2016
• An implicit δ f particle-in-cell method with sub-cycling and orbit averaging for Lorentz ions 2016
• Enhancing finite differences with radial basis functions: Experiments on the Navier-Stokes equations 2016
• A new hybrid-Lagrangian numerical scheme for gyrokinetic simulation of tokamak edge plasma 2016
• On polynomial chaos expansion via gradient-enhanced l₁-minimization 2016
• A well-posed and stable stochastic Galerkin formulation of the incompressible Navier-Stokes equations with random data 2016
• Finite time step and spatial grid effects in delta f simulation of warm plasmas 2016
• A scalable RBF-FD method for atmospheric flow 2015
• Heat flux expressions that satisfy the conservation laws in atomistic system involving multibody potentials 2015
• A compressible high-order unstructured spectral difference code for stratified convection in rotating spherical shells 2015
• A discrete element based simulation framework to investigate particulate spray deposition processes 2015
• An analysis of the convergence of the direct simulation Monte Carlo method 2015
• A parallel domain decomposition-based implicit method for the Cahn-Hilliard-Cook phase-field equation in 3D 2015
• An adaptive procedure for the numerical parameters of a particle simulation 2015
• Randomized interpolative decomposition of separated representations 2015
• Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies 2015
• Ensemble Kalman filters for dynamical systems with unresolved turbulence 2014
• New perspectives on superparameterization for geophysical turbulence 2014
• Stochastic superparameterization in quasigeostrophic turbulence 2014
• A weighted l₁-minimization approach for sparse polynomial chaos expansions 2014
• ODE solvers using band-limited approximations 2014
• A fully implicit domain decomposition based ALE framework for three-dimensional fluid-structure interaction with application in blood flow computation 2014
• A simplified technique for the efficient and highly accurate discretization of boundary integral equations in 2D on domains with corners 2014
• A more accurate, stable, FDTD algorithm for electromagnetics in anisotropic dielectrics 2013
• A fast multigrid-based electromagnetic eigensolver for curved metal boundaries on the Yee mesh 2013
• A fast direct solver for quasi-periodic scattering problems 2013
• Functional entropy variables: A new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations 2013
• A second-order semi-implicit delta f method for hybrid simulation 2013
• Isogeometric analysis of the advective Cahn-Hilliard equation: Spinodal decomposition under shear flow 2013
• Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations 2013
• Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs 2012
• A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere 2012
• Semi-automatic sparse preconditioners for high-order finite element methods on non-uniform meshes 2012
• First-order system least squares and the energetic variational approach for two-phase flow 2011
• A numerical methodology for the Painleve equations 2011
• Linearly implicit methods for nonlinear PDEs with linear dispersion and dissipation 2011
• A non-adapted sparse approximation of PDEs with stochastic inputs 2011
• Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere 2011
• Stabilization of RBF-generated finite difference methods for convective PDEs 2011
• A second-order 3D electromagnetics algorithm for curved interfaces between anisotropic dielectrics on a Yee mesh 2011
• Fast and accurate numerical methods for solving elliptic difference equations defined on lattices 2010
• A ghost fluid, level set methodology for simulating multiphase electrohydrodynamic flows with application to liquid fuel injection 2010
• A discontinuous Galerkin method for viscous compressible multifluids 2010
• Rotational transport on a sphere: Local node refinement with radial basis functions 2010
• Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling 2010
• Weighted least-squares finite elements based on particle imaging velocimetry data 2010
• Quantum hydrodynamics with trajectories: The nonlinear conservation form mixed/discontinuous Galerkin method with applications in chemistry 2009
• Application of Dey-Mittra conformal boundary algorithm to 3D electromagnetic modeling 2009
• Divergence preservation in the ADI algorithms for electromagnetics 2009
• Padé–Legendre approximants for uncertainty analysis with discontinuous response surfaces 2009
• A least-squares approximation of partial differential equations with high-dimensional random inputs 2009
• Fast convolution with the free space Helmholtz Green's function 2009
• A hybrid particle approach for continuum and rarefied flow simulation 2009
• Accuracy of higher-order lattice Boltzmann methods for microscale flows with finite Knudsen numbers 2008
• Algorithm for direct numerical simulation of emulsion flow through a granular material 2008
• Extracting degenerate modes and frequencies from time-domain simulations with filter-diagonalization 2008
• A low diffusion particle method for simulating compressible inviscid flows 2008
• On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere 2008
• A stable FDTD algorithm for non-diagonal, anisotropic dielectrics 2007
• An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation 2007
• Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems 2007
• A modular particle-continuum numerical method for hypersonic non-equilibrium gas flows 2007
• Numerical method for hydrodynamic transport of inhomogeneous polymer melts 2007
• Comment on the article "Vertical discretizations for compressible Euler equation atmospheric models giving optimal representation of normal modes" by Thuburn and Woollings 2007
• Electromagnetic gyrokinetic δf particle-in-cell turbulence simulation with realistic equilibrium profiles and geometry 2007
• On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data 2006
• A hybrid particle-continuum method applied to shock waves 2006
• Hydrodynamic simulation of air bubble implosion using a level set approach 2006
• Scattered node compact finite difference-type formulas generated from radial basis functions 2006
• A multipole-accelerated algorithm for close interaction of slightly deformable drops 2005
• A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations 2005
• Algebraic multigrid for higher-order finite elements 2005
• The fast Gauss transform with complex parameters 2005
• VORPAL: a versatile plasma simulation code 2004
• First-order system least squares (FOSLS) for coupled fluid-elastic problems 2004
• Kinetic description of flow past a micro-plate 2004
• A hybrid continuum/particle approach for modeling subsonic, rarefield gas flow 2004
• Including electron inertia without advancing electron flow 2003
• A δf particle method for gyrokinetic simulations with kinetic electrons and electromagnetic perturbations 2003
• Accurate numerical resolution of transients in initial-boundary value problems for the heat equation 2003
• Adaptive solution of partial differential equations in multiwavelet bases 2002
• A direct simulation method for subsonic, microscale gas flows 2002
• Nearest-Grid-Point Interpolation in Gyrokinetic Particle-in-Cell Simulation 2002
• Massively Parallel Three-Dimensional Toroidal Gyrokinetic Flux-Tube Turbulence Simulation 2000
• Note on nonsymmetric finite differences for Maxwell's equations 2000
• Parallel empirical pseudopotential electronic structure calculations for million atom systems 2000
• An efficient algorithm for hydrodynamical interaction of many deformable drops 2000
• Strategies for efficient particle resolution in the direct simulation Monte Carlo method 2000
• A fast spectral algorithm for nonlinear wave equations with linear dispersion 1999
• Fast spectral projection algorithms for density-matrix computations 1999
• A new class of time discretization schemes for the solution of nonlinear PDEs 1998
• A block pseudospectral method for Maxwell's equations - I. One-dimensional case 1998
• On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases 1997
• On the numerical solution of the sine-Gordon equation .2. Performance of numerical schemes 1997
• Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems 1996
• On the numerical solution of the sine-Gordon equation .1. Integrable discretizations and homoclinic manifolds 1996
• Scalar and parallel optimized implementation of the direct simulation Monte Carlo method 1996
• Statistical error analysis for the direct simulation Monte Carlo technique 1996
• A new numerical algorithm for the analytic continuation of Green's functions 1996
• Numerical simulation of a cylinder in uniform flow: Application of a virtual boundary method 1996
• A COMPARISON OF ENO AND TVD SCHEMES FOR THE COMPUTATION OF SHOCK-TURBULENCE INTERACTION 1995
• ALGORITHM FOR RANDOM CLOSE PACKING OF SPHERES WITH PERIODIC BOUNDARY-CONDITIONS 1994
• APPLICATION OF THE SPECTRAL MULTIDOMAIN METHOD TO THE NAVIER-STOKES EQUATIONS 1994
• IMPROVED FCT ALGORITHM FOR SHOCK HYDRODYNAMICS 1993
• Bounded Multi-scale Plasma Simulation: Application to Sheath Problems 1993
• AN EXPLICIT SYMPLECTIC INTEGRATION SCHEME FOR PLASMA SIMULATIONS 1993
• NUMERICAL CHAOS, SYMPLECTIC INTEGRATORS, AND EXPONENTIALLY SMALL SPLITTING DISTANCES 1993
• A Suitable Boundary Condition for Bounded Plasma Simulation without Sheath Resolution 1993
• A FINITE-DIFFERENCE PROCEDURE FOR A CLASS OF FREE-BOUNDARY PROBLEMS 1992
• NUMERICAL COMPUTATION OF 2D-SOMMERFELD INTEGRALS - A NOVEL ASYMPTOTIC EXTRACTION TECHNIQUE 1992
• NUMERICAL COMPUTATION OF 2D-SOMMERFELD INTEGRALS - DECOMPOSITION OF THE ANGULAR INTEGRAL 1992
• Numerical error in electron orbits with large ωceΔt 1991
• VECTORIZATION OF A MONTE-CARLO SIMULATION SCHEME FOR NONEQUILIBRIUM GAS-DYNAMICS 1991
• Multi-scale particle-in-cell plasma simulation 1991
• AN IMPROVED PSEUDOSPECTRAL METHOD FOR INITIAL-BOUNDARY VALUE-PROBLEMS 1990
• Vectorization of a Monte Carlo simulation scheme for nonequilibrium gas dynamics 1990
• A NEW OPTIMIZED FCT ALGORITHM FOR SHOCK-WAVE PROBLEMS 1990
• HOPF-BIFURCATION IN THE DRIVEN CAVITY 1990
• A new optimized FCT algorithm for shock wave problems 1990
• NUMERICAL COMPUTATION OF THE INCOMPLETE LIPSCHITZ-HANKEL INTEGRAL JE0(A,Z) 1990
• A multilevel variational method for Au = λBu on composite grids 1989
• ON THE USE OF THE MODIFIED NANBU DIRECT SIMULATION SCHEME 1989
• ANALYTICAL AND NUMERICAL ASPECTS OF CERTAIN NONLINEAR EVOLUTION-EQUATIONS .4. NUMERICAL, MODIFIED KORTEWEG-DEVRIES EQUATION 1988
• CAVITY FLOW DYNAMICS AT HIGHER REYNOLDS-NUMBER AND HIGHER ASPECT RATIO 1987
• VORTEX DYNAMICS OF CAVITY FLOWS 1986
• STEADY VISCOUS-FLOW PAST A CIRCULAR-CYLINDER UP TO REYNOLDS NUMBER-600 1985
• ANALYTICAL AND NUMERICAL ASPECTS OF CERTAIN NONLINEAR EVOLUTION-EQUATIONS .1. ANALYTICAL 1984
• ANALYTICAL AND NUMERICAL ASPECTS OF CERTAIN NONLINEAR EVOLUTION-EQUATIONS .2. NUMERICAL, NONLINEAR SCHRODINGER-EQUATION 1984
• ANALYTICAL AND NUMERICAL ASPECTS OF CERTAIN NONLINEAR EVOLUTION-EQUATIONS .3. NUMERICAL, KORTEWEG-DEVRIES EQUATION 1984
• CALCULATION OF CRITICAL BRANCHING POINTS IN 2-PARAMETER BIFURCATION PROBLEMS 1983
• Unigrid methods for boundary value problems with nonrectangular domains 1982
• NUMERICAL STUDY OF 2-D TURBULENCE 1977