### keywords

- 01 Mathematical Sciences, 02 Physical Sciences, 09 Engineering

- 01 Mathematical Sciences, 02 Physical Sciences, 09 Engineering

- The fidelity of exponential and IMEX integrators for wave turbulence: Introduction of anew near-minimax integrating factor scheme 2021
- Pass-efficient methods for compression of high-dimensional turbulent flow data 2020
- An energy-based discontinuous Galerkin method for semilinear wave equations 2020
- Transport schemes in spherical geometries using spline-based RBF-FD with polynomials 2020
- Forward and backward uncertainty quantification with active subspaces: Application to hypersonic flows around a cylinder 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
- Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations 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
- Generalized Bloch mode synthesis for accelerated calculation of elastic band structures 2018
- Hidden physics models: Machine learning of nonlinear partial differential equations 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
- Hybrid Chebyshev function bases for sparse spectral methods in parity-mixed PDEs on an infinite domain 2017
- Machine learning of linear differential equations using Gaussian processes 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
- Inferring solutions of differential equations using noisy multi-fidelity data 2017
- Seismic modeling with radial basis function-generated finite differences (RBF-FD) - a simplified treatment of interfaces 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
- 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 delta 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 l(1)-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
- Exploiting active subspaces to quantify uncertainty in the numerical simulation of the HyShot II scramjet 2015
- 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 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
- Randomized interpolative decomposition of separated representations 2015
- An adaptive procedure for the numerical parameters of a particle simulation 2015
- Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies 2015
- Ensemble Kalman filters for dynamical systems with unresolved turbulence 2014
- A mass and momentum flux-form high-order discontinuous Galerkin shallow water model on the cubed-sphere 2014
- A multiscale algorithm for simulating spatially-extended Langmuir circulation dynamics 2014
- New perspectives on superparameterization for geophysical turbulence 2014
- Stochastic superparameterization in quasigeostrophic turbulence 2014
- A weighted l(1)-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 hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations 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 2.5D boundary element formulation for modeling damped waves in arbitrary cross-section waveguides and cavities 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
- A direct solver for variable coefficient elliptic PDEs discretized via a composite spectral collocation method 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
- Numerical methods for solid mechanics on overlapping grids: Linear elasticity 2012
- A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere 2012
- A high-order Nystrom discretization scheme for boundary integral equations defined on rotationally symmetric surfaces 2012
- 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
- A multistep flux-corrected transport scheme 2010
- 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
- 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
- A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems 2009
- Fast convolution with the free space Helmholtz Green's function 2009
- Efficient multi-dimensional solution of PDEs using Chebyshev spectral methods 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
- A new method for fast transforms in parity-mixed PDEs: Part I. Numerical techniques and analysis 2008
- A new method for fast transforms in parity-mixed PDEs: Part II. Application to confined rotating convection 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
- The efficient implementation of a finite element, multi-resolution viscosity method for hyperbolic conservation laws 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
- A fast direct solver for scattering problems involving elongated structures 2007
- Electromagnetic gyrokinetic delta f 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
- A new absorbing layer for elastic 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
- Fast evaluation of electro-static interactions in multi-phase dielectric media 2006
- A multipole-accelerated algorithm for close interaction of slightly deformable drops 2005
- A fast direct solver for boundary integral equations in two dimensions 2005
- A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations 2005
- The fast Gauss transform with complex parameters 2005
- VORPAL: a versatile plasma simulation code 2004
- Kinetic description of flow past a micro-plate 2004
- A hybrid continuum/particle approach for modeling subsonic, rarefied gas flows 2004
- Including electron inertia without advancing electron flow 2003
- A delta f 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
- Modeling and computation of random thermal fluctuations and material defects in the Ginzburg-Landau model for superconductivity 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
- 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
- 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 error in electron orbits with large ωceΔt 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
- A new optimized FCT algorithm for shock wave problems 1990
- 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
- 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
- A LEAST-SQUARES FINITE-ELEMENT SCHEME FOR TRANSONIC FLOW AROUND HARMONICALLY OSCILLATING AIRFOILS 1983
- NUMERICAL STUDY OF 2-D TURBULENCE 1977

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