Journal of Computational Physics | CU Experts

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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
Poroelastic near-field inverse scattering 2022
S-frame discrepancy correction models for data-informed Reynolds stress closure 2022
Machine learning techniques to construct patched analog ensembles for data assimilation 2021
Weak SINDy for partial differential equations 2021
Spectral estimation from simulations via sketching 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
An energy-based discontinuous Galerkin method for semilinear wave equations 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
A mass and momentum flux-form high-order discontinuous Galerkin shallow water model on the cubed-sphere 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 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 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
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
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
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
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
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
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
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
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

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