Journal of Computational Physics

Article	Citations
Stiefel manifold interpolation for non-intrusive model reduction of parameterized fluid flow problems	530
Dynamically regularized Lagrange multiplier schemes with energy dissipation for the incompressible Navier-Stokes equations	216
IGA-Graph-Net: Isogeometric analysis-reuse method based on graph neural networks for topology-consistent models	172
A positivity-preserving scheme for fluctuating hydrodynamics	171
Multi-level data assimilation for ocean forecasting using the shallow-water equations	161
Numerical methods and improvements for simulating quasi-static elastoplastic materials	152
An Immersed Boundary Method for pressure-based compressible solvers with applications to free-convection flows, acoustic wave propagation and thermal plasma	140
FE-PIRBN: Feature-enhanced physics-informed radial basis neural networks for solving high-frequency electromagnetic scattering problems	135
An iterative deep Ritz method for monotone elliptic problems	119
High-order stochastic integration schemes for the Rosenbluth-Trubnikov collision operator in particle simulations	106
Fully discrete finite element method with full decoupling structure and second-order temporal accuracy for a flow-coupled dendritic solidification phase-field model	106
An augmented fourth order domain-decomposed method with fast algebraic solvers for three-dimensional Helmholtz interface problems	103
Efficient boundary integral method to evaluate the acoustic scattering from coupled fluid-fluid problems excited by multiple sources	98
Numerical experiments using the barycentric Lagrange treecode to compute correlated random displacements for Brownian dynamics simulations	97
A simplified fast multipole method based on strong recursive skeletonization	94
p-Multigrid high-order discontinuous Galerkin solver for three-dimensional compressible turbulent flows	90
A decoupled linear, mass-conservative block-centered finite difference method for the Keller–Segel Chemotaxis system	85
Positivity-preserving and entropy-bounded discontinuous Galerkin method for the chemically reacting, compressible Navier-Stokes equations	85
Physics-informed data-driven cavitation model for a specific Mie–Grüneisen equation of state	83
A hybrid phase field - volume of fluid method for the simulation of three-dimensional binary solidification in the presence of gas bubble	77
Latent neural PDE solver: A reduced-order modeling framework for partial differential equations	76
Numerical modelling of reservoir at pore scale: A comprehensive review	75
A non-intrusive data-driven reduced order model for parametrized CFD-DEM numerical simulations	71
A Cartesian mesh approach to embedded interface problems using the virtual element method	70
Numerical optimization of Neumann eigenvalues of domains in the sphere	69

Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains	69
Detection and prediction of equilibrium states in kinetic plasma simulations via mode tracking using reduced-order dynamic mode decomposition	67
Machine learning for fluid flow reconstruction from limited measurements	67
An equivariant neural operator for developing nonlocal tensorial constitutive models	66
A stable SPH model with large CFL numbers for multi-phase flows with large density ratios	64
Computational mean-field games on manifolds	63
Absolutely convergent fixed-point fast sweeping WENO methods for steady state of hyperbolic conservation laws	63
Multicontinuum homogenization and its relation to nonlocal multicontinuum theories	61
Single-stage gradient-based stellarator coil design: Optimization for near-axis quasi-symmetry	60
A cut finite element method for two-phase flows with insoluble surfactants	59
High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties	58
A prediction-correction based iterative convolution-thresholding method for topology optimization of heat transfer problems	57
A Shifted Boundary Method for the compressible Euler equations	55
Score-based transport modeling for mean-field Fokker-Planck equations	55
An ALE meshfree method for surface PDEs coupling with forced mean curvature flow	55
Sparse discovery of differential equations based on multi-fidelity Gaussian process	54
An efficient collocation method for long-time simulation of heat and mass transport on evolving surfaces	54
Monolithic convex limiting and implicit pseudo-time stepping for calculating steady-state solutions of the Euler equations	53
Tikhonov regularization as a nonparametric method for uncertainty quantification in aggregate data problems	51
Sparse-grid discontinuous Galerkin methods for the Vlasov–Poisson–Lenard–Bernstein model	50
Meshfree method for large deformation analysis without domain re-mesh: A nonlinear scheme based on stabilized collocation method	49
Full-waveform reconstruction of micro-seismic events via topological derivative approach	48
A projection-based Characteristic Mapping method for tracer transport on the sphere	47
Efficient parallelization for 3d-3v sparse grid Particle-In-Cell: Shared memory architectures	47
Non-intrusive implementation of Multiscale Finite Element Methods: An illustrative example	47
Linear response based parameter estimation in the presence of model error	47
Dissipation-based WENO stabilization of high-order finite element methods for scalar conservation laws	46
HMC: Reducing the number of rejections by not using leapfrog and some results on the acceptance rate	45
Numerical shape optimization of the Canham-Helfrich-Evans bending energy	45
Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation	44
A generalized multiphase modelling approach for multiscale flows	44
An efficient parallel iteration algorithm for nonlinear diffusion equations with time extrapolation techniques and the Jacobi explicit scheme	42
A hybrid stochastic interpolation and compression method for kernel matrices	42
Learning-based local weighted least squares for algebraic multigrid method	40
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part II: Subcell finite volume shock capturing	40
Grid-point requirements for direct kinetic simulation of weakly collisional plasma plume expansion	39
A nonhydrostatic atmospheric dynamical core on cubed sphere using multi-moment finite-volume method	39
A recycling preconditioning method with auxiliary tip subspace for elastic crack propagation simulation using XFEM	39
An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains	39
On the optimization of approximate control variates with parametrically defined estimators	39
A horizontally explicit, vertically implicit (HEVI) discontinuous Galerkin scheme for the 2-dimensional Euler and Navier-Stokes equations using terrain-following coordinates	39
Well-balanced fifth-order finite difference Hermite WENO scheme for the shallow water equations	38
A dynamic mass transport method for Poisson-Nernst-Planck equations	38
A minimalistic approach to physics-informed machine learning using neighbour lists as physics-optimized convolutions for inverse problems involving particle systems	38
Extending EB3 scheme for the differential conservation law from node-centered to cell-centered control volumes I: Basic formula on regular cells	37
Optimal design for kernel interpolation: Applications to uncertainty quantification	37
Implementation of low-storage Runge-Kutta time integration schemes in scalable asynchronous partial differential equation solvers	37
A realizable second-order advection method with variable flux limiters for moment transport equations	37
RBF-FD discretization of the Navier-Stokes equations on scattered but staggered nodes	36
Efficient extraction of resonant states in systems with defects	36

Surface fluctuating hydrodynamics methods for the drift-diffusion dynamics of particles and microstructures within curved fluid interfaces	35
Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis	35
PDE-constrained models with neural network terms: Optimization and global convergence	35
Multi-domain spectral approach with Sommerfeld condition for the Maxwell equations	34
Large eddy simulation on unstructured grids using explicit differential filtering: A case study of Taylor-Green vortex	34
An improved embedded discrete fracture model and domain connectivity algorithms on 3D unstructured grids	34
Identifying and tracking bubbles and drops in simulations: A toolbox for obtaining sizes, lineages, and breakup and coalescence statistics	33
Optimal preconditioners on solving the Poisson equation with Neumann boundary conditions	33
On the Lagrangian-Eulerian coupling in the immersed finite element/difference method	33
Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations	33
A robust phase-field method for two-phase flows on unstructured grids	33
A super-convergence analysis of the Poisson solver with Octree grids and irregular domains	32
A Bayesian-variational cyclic method for solving estimation problems characterized by non-uniqueness (equifinality)	32
Proper orthogonal descriptors for efficient and accurate interatomic potentials	32
The Navier-Stokes system with temperature and salinity for free surface flows. Numerical scheme and validation	32
A computational framework based on explicit local chemical equilibrium for coupled chemo-hydro-mechanical effects on fluid-infiltrating porous media	32
A combined Lattice-Boltzmann-finite element approach to modeling unsaturated poroelastic behavior of heterogeneous media	32
A DLM/FD method for simulating balls settling in Oldroyd-B viscoelastic fluids	32
Interface-unaware sub-scale dynamics closure model for multimaterial cells in cell-centered arbitrary Lagrangian-Eulerian hydrodynamics	31
Gappy spectral proper orthogonal decomposition	31
Monolithic multigrid for implicit Runge–Kutta discretizations of incompressible fluid flow	31
A parallel-in-time two-sided preconditioning for all-at-once system from a non-local evolutionary equation with weakly singular kernel	31
A stochastic kinetic scheme for multi-scale flow transport with uncertainty quantification	31
Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes	31
Global and local conservation of mass, momentum and kinetic energy in the simulation of compressible flow	31
High order, semi-implicit, energy stable schemes for gradient flows	30
A particle-in-Fourier method with semi-discrete energy conservation for non-periodic boundary conditions	30
Solving high-dimensional parametric engineering problems for inviscid flow around airfoils based on physics-informed neural networks	30
The GBS code for the self-consistent simulation of plasma turbulence and kinetic neutral dynamics in the tokamak boundary	30
Low-rank Monte Carlo for Smoluchowski-class equations	29
Laplace Green's functions for infinite ground planes with local roughness	29
On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation	29
Spectral estimation from simulations via sketching	29
A unified formulation of splitting-based implicit time integration schemes	28
DeepBND: A machine learning approach to enhance multiscale solid mechanics	28
A friction interface model for multi-material interactions in a Eulerian framework	28
An efficient hybrid multi-resolution WCNS scheme for solving compressible flows	28
Handling Neumann and Robin boundary conditions in a fictitious domain volume penalization framework	28
A scalable, robust parallel algorithm on handling of sliding non-conformal interfaces with an efficient supermesh method	28
Optimal design of acoustic metamaterial cloaks under uncertainty	28
Uncertainty quantification in the Henry problem using the multilevel Monte Carlo method	27
Learning and correcting non-Gaussian model errors	27
Ray decomposition radiation transport for high performance computing	27
Preconditioning elliptic operators in high-performance all-scale atmospheric models on unstructured meshes	27
Multi-species kinetic-fluid coupling for high-energy density simulations	27
Accessibility constraints in structural optimization via distance functions	27
A consistent adaptive level set framework for incompressible two-phase flows with high density ratios and high Reynolds numbers	26
Space-time multilevel Monte Carlo methods and their application to cardiac electrophysiology	26
Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations	26
NySALT: Nyström-type inference-based schemes adaptive to large time-stepping	26
An immersed peridynamics model of fluid-structure interaction accounting for material damage and failure	26
The extended Discontinuous Galerkin method for two-phase flows with evaporation	26
A high order positivity-preserving polynomial projection remapping method	26
Nonlinear mixed-dimension model for embedded tubular networks with application to root water uptake	26
Anti-dissipation pressure correction under low Mach numbers for Godunov-type schemes	25
An electromechanics-driven fluid dynamics model for the simulation of the whole human heart	25
Scalable implicit solvers with dynamic mesh adaptation for a relativistic drift-kinetic Fokker–Planck–Boltzmann model	25
Treecode-accelerated Green iteration for Kohn-Sham density functional theory	25
Weak boundary conditions for Lagrangian shock hydrodynamics: A high-order finite element implementation on curved boundaries	25
A locally corrected multiblob method with hydrodynamically matched grids for the Stokes mobility problem	24
Midpoint geometric integrators for inertial magnetization dynamics	24
A well-balanced second-order finite volume approximation for a coupled system of granular flow	24
Transport error estimation using residual Monte Carlo	24
High order asymptotic preserving finite difference WENO schemes with constrained transport for MHD equations in all sonic Mach numbers	24
Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation	24
Adaptive mesh methods on compact manifolds via Optimal Transport and Optimal Information Transport	24
Numerical simulation of rarefied supersonic flows using a fourth-order maximum-entropy moment method with interpolative closure	24
A nodal based high order nonlinear stabilization for finite element approximation of Magnetohydrodynamics	24
A vertex scheme for two-phase flow in heterogeneous media	24
A high order compact time/space finite difference scheme for the 2D and 3D wave equation with a damping layer	24
Geometrically parametrised reduced order models for studying the hysteresis of the Coanda effect in finite element-based incompressible fluid dynamics	24
Deep learning of first-order nonlinear hyperbolic conservation law solvers	24
A method for generating moving, orthogonal, area preserving polygonal meshes	23
A domain decomposition solution of the Stokes-Darcy system in 3D based on boundary integrals	23
Path-conservative positivity-preserving well-balanced finite volume WENO method for porous shallow water equations	23
Code-verification techniques for the method-of-moments implementation of the electric-field integral equation	23
Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields	23
High resolution optimized high-order schemes for discretization of non-linear straight and mixed second derivative terms	23
A hybrid shifted Laplacian multigrid and domain decomposition preconditioner for the elastic Helmholtz equations	23
Perturbation-theory informed integrators for cosmological simulations	23

High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations	23
Exact and efficient wall distance pre-classification overset grid assembly for unstructured grids	23
Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation	23
Fluid-reduced-solid interaction (FrSI): Physics- and projection-based model reduction for cardiovascular applications	23
High order unfitted finite element discretizations for explicit boundary representations	23
An adaptive phase-field method for structural topology optimization	23
Inf-sup neural networks for high-dimensional elliptic PDE problems	23
A learned conservative semi-Lagrangian finite volume scheme for transport simulations	23
An adaptive low-rank splitting approach for the extended Fisher–Kolmogorov equation	22
A highly efficient and accurate numerical method for the electromagnetic scattering problem with rectangular cavities	22
The smooth forcing extension method: A high-order technique for solving elliptic equations on complex domains	22
A data-driven statistical-stochastic surrogate modeling strategy for complex nonlinear non-stationary dynamics	22
Data-driven probability density forecast for stochastic dynamical systems	22
An explicit characteristic-based immersed boundary method for compressible flows	22
Committor functions via tensor networks	22
A general purpose strategy for realizing the zero-variance importance sampling and calculating the unknown integration constant	22
Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations	22
Algorithmic Differentiation for adjoint sensitivity calculation in plasma edge codes	22
An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics	22
A Koopman framework for rare event simulation in stochastic differential equations	22
Analytical formulas for verification of aerodynamic force and moment computations	22
The fidelity of exponential and IMEX integrators for wave turbulence: Introduction of a new near-minimax integrating factor scheme	21
A robust solver for elliptic PDEs in 3D complex geometries	21
High-order oscillation-eliminating Hermite WENO method for hyperbolic conservation laws	21
A finite-volume method for simulating contact lines on unstructured meshes in a conservative level-set framework	21
Structure probing neural network deflation	21
Recasting an operator splitting solver into a standard finite volume flux-based algorithm. The case of a Lagrange-projection-type method for gas dynamics	21
A shallow Ritz method for elliptic problems with singular sources	21
Fractional time stepping and adjoint based gradient computation in an inverse problem for a fractionally damped wave equation	20
Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems	20
A front-tracking method for simulating interfacial flows with particles and soluble surfactants	20
Navier-Stokes characteristic boundary conditions for high-enthalpy compressible flows in thermochemical non-equilibrium	20
Deep-learning based discovery of partial differential equations in integral form from sparse and noisy data	20
Contour dynamics for one-dimensional Vlasov-Poisson plasma with the periodic boundary	20
Full-waveform inversion using level set and cut elements for sharp-interface problems	20
An algebraic global linelet preconditioner for incompressible flow solvers	20
A multi-fidelity transfer learning strategy based on multi-channel fusion	20
DNN modeling of partial differential equations with incomplete data	20
Data driven Dirichlet sampling on manifolds	20
Efficient calculation of fully resolved electrostatics around large biomolecules	20
A high-order finite difference method for moving immersed domain boundaries and material interfaces	20
Arbitrary slip length for fluid-solid interface of arbitrary geometry in smoothed particle dynamics	20
Field-split preconditioned active-set reduced-space algorithm for complex black oil reservoir simulation at large-scale	20
A robust computational framework for variational data assimilation of mean flows with sparse measurements corrupted by strong outliers	20
A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement	20
High order conservative Lagrangian scheme for three-temperature radiation hydrodynamics	20
Efficient and scalable path-planning algorithms for curvature constrained motion in the Hamilton-Jacobi formulation	19
A nearly-conservative, high-order, forward Lagrange–Galerkin method for the resolution of compressible flows on unstructured triangular meshes	19
Correcting noisy dynamic mode decomposition with Kalman filters	19
Hamiltonian Particle-in-Cell methods for Vlasov–Poisson equations	19
A numerical scheme for the time-fractional diffusion equation by layer potentials	19
A multi-dimensional, robust, and cell-centered finite-volume scheme for the ideal MHD equations	19
A collision-based hybrid method for the BGK equation	19
A multi-objective Bayesian optimization environment for systematic design of numerical schemes for compressible flow	19
A finite element contour integral method for computing the scattering resonances of fluid-solid interaction problem	19
A moving embedded boundary approach for the compressible Navier-Stokes equations in a block-structured adaptive refinement framework	19
A transformer-based convolutional method to model inverse cascade in forced two-dimensional turbulence	19
A MCMC method based on surrogate model and Gaussian process parameterization for infinite Bayesian PDE inversion	19
Simplified inverse distance weighting-immersed boundary method for simulation of fluid-structure interaction	19
A new approach to the evaluation and solution of the relativistic kinetic dispersion relation and verification with continuum kinetic simulation	19
3D time-dependent scattering about complex shapes using high order difference potentials	19
An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations	19
Diffuse-interface modeling and energy-stable numerical framework for the heat transfer-coupled two-phase fluids in contact with solids	19
Stochastic Galerkin methods for the Boltzmann-Poisson system	19
Adjoint-based goal-oriented implicit shock tracking using full space mesh optimization	19
A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations	19
Fokker-Planck multi-species equations in the adiabatic asymptotics	19
Impact of curved elements for flows over orography with a Discontinuous Galerkin scheme	19
A coupled finite element approach to spatially resolved lithium plating and stripping in three-dimensional anode microstructures of lithium-ion cells	19
A flow-reconstruction based approach for the computation of hydrodynamic stresses on immersed body surface	19
A simple Chimera grid method with an implicit Dirichlet/Neumann coupling scheme for flows with moving boundaries	19
Ensemble Kalman inversion for sparse learning of dynamical systems from time-averaged data	19
A space-time high-order implicit shock tracking method for shock-dominated unsteady flows	19
Generalized interpolation-supplemented cascaded lattice Boltzmann method for noise radiated from a circular cylinder	19
A regularization approach for solving the super-Gaussian Poisson-Boltzmann model with heterogeneous dielectric functions	19
A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations	19
Full-variable Cartesian grid method for incompressible and multiphase flows	18
High-order velocity and pressure wall boundary conditions in Eulerian incompressible SPH	18
ReSDF: Redistancing implicit surfaces using neural networks	18
A data-driven distributed force model for wall-modeled large-eddy simulations of rough-wall turbulence	18
Parallel fully coupled methods for bound-preserving solution of subsurface flow and transport in porous media	18
Spectral quadrature for the first principles study of crystal defects: Application to magnesium	18
High-order dimensionally-split Cartesian embedded boundary method for non-dissipative schemes	18
Positivity-preserving and entropy-bounded discontinuous Galerkin method for the chemically reacting, compressible Euler equations. Part I: The one-dimensional case	18
Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations	18
AFiD-MHD: A finite difference method for magnetohydrodynamic flows	18
DG-IMEX method for a two-moment model for radiation transport in the O18
APFOS-Net: Asymptotic preserving scheme for anisotropic elliptic equations with deep neural network	18
Multi-body mesh deformation using a multi-level localized dual-restricted radial basis function interpolation	18
Fast identification of short, linear perfectly conducting cracks in a bistatic measurement configuration	18
Convection experiments with the exponential time integration scheme	18
Preconditioned iterative solvers for constrained high-order implicit shock tracking methods	18
Numerical approximation of kinetic Fokker–Planck equations with specular reflection boundary conditions	18
A linearised inverse conductivity problem for the Maxwell system at a high frequency	18
Framework of acoustic analysis and shape optimization for three-dimensional doubly periodic multilayered structures	18