Journal of Computational Physics

Papers
(The TQCC of Journal of Computational Physics is 7. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-02-01 to 2025-02-01.)
ArticleCitations
A super-convergence analysis of the Poisson solver with Octree grids and irregular domains545
Simplified inverse distance weighting-immersed boundary method for simulation of fluid-structure interaction454
A finite element contour integral method for computing the scattering resonances of fluid-solid interaction problem289
Stiefel manifold interpolation for non-intrusive model reduction of parameterized fluid flow problems188
Dynamically regularized Lagrange multiplier schemes with energy dissipation for the incompressible Navier-Stokes equations149
IGA-Graph-Net: Isogeometric analysis-reuse method based on graph neural networks for topology-consistent models136
Corrigendum to “Improvements to a class of hybrid methods for radiation transport: Nyström reconstruction and defect correction methods”133
Committor functions via tensor networks119
A shallow Ritz method for elliptic problems with singular sources118
Fluid-structure interaction of thin flexible bodies in multi-material multi-phase systems116
A positivity-preserving scheme for fluctuating hydrodynamics111
Numerical modelling of reservoir at pore scale: A comprehensive review111
CAMERA: A method for cost-aware, adaptive, multifidelity, efficient reliability analysis110
Ensemble Kalman inversion for sparse learning of dynamical systems from time-averaged data108
A non-intrusive data-driven reduced order model for parametrized CFD-DEM numerical simulations98
A semi-resolved CFD-DEM coupling model using a two-way domain expansion method95
Contour dynamics for one-dimensional Vlasov-Poisson plasma with the periodic boundary92
An efficient meshfree method based on Pascal polynomials and multiple-scale approach for numerical solution of 2-D and 3-D second order elliptic interface problems88
Learning “best” kernels from data in Gaussian process regression. With application to aerodynamics88
A Cartesian mesh approach to embedded interface problems using the virtual element method86
Numerical optimization of Neumann eigenvalues of domains in the sphere83
A new approach to the evaluation and solution of the relativistic kinetic dispersion relation and verification with continuum kinetic simulation75
A flow-reconstruction based approach for the computation of hydrodynamic stresses on immersed body surface72
A robust computational framework for variational data assimilation of mean flows with sparse measurements corrupted by strong outliers72
Spatial second-order positive and asymptotic preserving filtered P schemes for nonlinear radiative transfer equations70
Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation68
Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains67
HMC: Reducing the number of rejections by not using leapfrog and some results on the acceptance rate64
Study of accuracy of a non-conformal finite element domain decomposition method59
Code-verification techniques for the method-of-moments implementation of the electric-field integral equation57
Analytical formulas for verification of aerodynamic force and moment computations57
Scalable implicit solvers with dynamic mesh adaptation for a relativistic drift-kinetic Fokker–Planck–Boltzmann model55
Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach55
A deterministic verification strategy for electrostatic particle-in-cell algorithms in arbitrary spatial dimensions using the method of manufactured solutions55
An improved fifth-order WENO scheme with symmetry-preserving smoothness indicators for hyperbolic conservation laws52
A combined Lattice-Boltzmann-finite element approach to modeling unsaturated poroelastic behavior of heterogeneous media52
A regularization approach for solving the super-Gaussian Poisson-Boltzmann model with heterogeneous dielectric functions52
A cut finite element method for two-phase flows with insoluble surfactants52
Influences of conservative and non-conservative Lorentz forces on energy conservation properties for incompressible magnetohydrodynamic flows51
A numerical method for suspensions of articulated bodies in viscous flows51
Direct forcing immersed boundary methods: Improvements to the ghost-cell method51
Numerical solutions for point-source high frequency Helmholtz equation through efficient time propagators for Schrödinger equation50
Stochastic Galerkin methods for the Boltzmann-Poisson system50
A new coupled multiphysics model and partitioned time-stepping method for the triple-porosity-Stokes fluid flow model48
A two-grid simulation framework for fast monitoring of fault stability and ground deformation in multiphase geomechanics48
Analysis of dissipation operators that damp spurious modes while maintaining discrete approximate geostrophic equilibriums for the B-grid staggered scheme on triangular meshes48
Editorial Board47
Accelerating high order discontinuous Galerkin solvers using neural networks: 3D compressible Navier-Stokes equations47
A fast dynamic smooth adaptive meshing scheme with applications to compressible flow45
The global optimal reference field for the difference formulation in the implicit Monte Carlo radiation transport44
A general purpose strategy for realizing the zero-variance importance sampling and calculating the unknown integration constant43
On the design of stable, consistent, and conservative high-order methods for multi-material hydrodynamics43
Interface-unaware sub-scale dynamics closure model for multimaterial cells in cell-centered arbitrary Lagrangian-Eulerian hydrodynamics43
A ghost-point based second order accurate finite difference method on uniform orthogonal grids for electromagnetic scattering around curved perfect electric conductors with corners43
Editorial Board43
The role of the dual grid in low-order compatible numerical schemes on general meshes43
A hybrid smoothed particle hydrodynamics coupled to a fictitious domain method for particulate flows and its application in a three-dimensional printing process41
A numerical extension of the spatially-filtered Euler equations for contact discontinuities41
DOSnet as a non-black-box PDE solver: When deep learning meets operator splitting41
Towards parallel time-stepping for the numerical simulation of atherosclerotic plaque growth41
A learned conservative semi-Lagrangian finite volume scheme for transport simulations41
An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics40
A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators39
Optimal design for kernel interpolation: Applications to uncertainty quantification39
A data-driven model reduction method for parabolic inverse source problems and its convergence analysis37
Editorial Board37
Immersed boundary method for the complete electrode model in electrical impedance tomography36
Editorial Board36
Treecode-accelerated Green iteration for Kohn-Sham density functional theory36
Editorial Board35
Linear response based parameter estimation in the presence of model error35
A high order compact time/space finite difference scheme for the 2D and 3D wave equation with a damping layer34
A computational framework based on explicit local chemical equilibrium for coupled chemo-hydro-mechanical effects on fluid-infiltrating porous media33
An algebraic dynamic multilevel and multiscale method with non-uniform mesh resolution and adaptive algebraic multiscale solver operator for the simulation of two-phase flows in highly heterogeneous p33
Multi-domain spectral approach with Sommerfeld condition for the Maxwell equations33
Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations33
The local tangential lifting method for moving interface problems on surfaces with applications33
An equivariant neural operator for developing nonlocal tensorial constitutive models32
An efficient and robust Lagrange multiplier approach with a penalty term for phase-field models32
A local velocity grid conservative semi-Lagrangian schemes for BGK model32
An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces32
Space-time multilevel Monte Carlo methods and their application to cardiac electrophysiology32
RotEqNet: Rotation-equivariant network for fluid systems with symmetric high-order tensors32
High-order accurate finite difference discretisations on fully unstructured dual quadrilateral meshes32
Shape reconstruction in seismic full waveform inversion using a level set approach and time reversal31
A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods31
Efficient high-order gradient-based reconstruction for compressible flows31
High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics31
Recursive computation of the multipole expansions of layer potential integrals over simplices for efficient fast multipole accelerated boundary elements31
Exponential DG methods for Vlasov equations30
Editorial Board30
Principles of a network element method30
A dynamic mass transport method for Poisson-Nernst-Planck equations30
Second-order numerical method for coupling of slightly compressible Brinkman flow with advection-diffusion system in fractured media30
Editorial Board29
On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation29
Parallel computation of Inverse Compton Scattering radiation spectra based on Liénard-Wiechert potentials29
The extended Discontinuous Galerkin method for two-phase flows with evaporation29
A novel vertex-centered finite volume method for solving Richards' equation and its adaptation to local mesh refinement28
A collision-based hybrid method for the BGK equation28
A nonhydrostatic atmospheric dynamical core on cubed sphere using multi-moment finite-volume method28
An explicit characteristic-based immersed boundary method for compressible flows28
Reduced-order modeling of neutron transport separated in energy by Proper Generalized Decomposition with applications to nuclear reactor physics28
A vertex-based reconstruction for cell-centered finite-volume discretization on unstructured grids28
A high order positivity-preserving polynomial projection remapping method27
ReSDF: Redistancing implicit surfaces using neural networks27
A space-time high-order implicit shock tracking method for shock-dominated unsteady flows27
Uncertainty quantification in the Henry problem using the multilevel Monte Carlo method26
Midpoint geometric integrators for inertial magnetization dynamics26
Grid-point requirements for direct kinetic simulation of weakly collisional plasma plume expansion26
Score-based transport modeling for mean-field Fokker-Planck equations26
Non-intrusive implementation of Multiscale Finite Element Methods: An illustrative example25
A projection-based Characteristic Mapping method for tracer transport on the sphere25
An adaptive low-rank splitting approach for the extended Fisher–Kolmogorov equation25
Intelligent dissipative particle dynamics: Bridging mesoscopic models from microscopic simulations via deep neural networks25
An adaptive phase-field method for structural topology optimization25
Deep level-set method for Stefan problems25
Low-rank Monte Carlo for Smoluchowski-class equations25
Parallel block preconditioners for virtual element discretizations of the time-dependent Maxwell equations25
A time splitting Chebyshev-Fourier spectral method for the time-dependent rotating nonlocal Schrödinger equation in polar coordinates24
Laplace Green's functions for infinite ground planes with local roughness24
3D time-dependent scattering about complex shapes using high order difference potentials24
Editorial Board24
Efficient Bayesian estimation of the generalized Langevin equation from data24
Monolithic multigrid for implicit Runge–Kutta discretizations of incompressible fluid flow24
A multi-fidelity transfer learning strategy based on multi-channel fusion24
Editorial Board24
A compact and efficient high-order gas-kinetic scheme24
Efficient calculation of fully resolved electrostatics around large biomolecules23
A realizable second-order advection method with variable flux limiters for moment transport equations23
Well-balanced fifth-order finite difference Hermite WENO scheme for the shallow water equations23
A finite volume method to solve the Poisson equation with jump conditions and surface charges: Application to electroporation23
A numerical scheme for the time-fractional diffusion equation by layer potentials23
Adaptive mesh methods on compact manifolds via Optimal Transport and Optimal Information Transport23
Fluid-reduced-solid interaction (FrSI): Physics- and projection-based model reduction for cardiovascular applications23
A sharp interface framework based on the inviscid Godunov-Peshkov-Romenski equations: Simulation of evaporating fluids23
A minimalistic approach to physics-informed machine learning using neighbour lists as physics-optimized convolutions for inverse problems involving particle systems23
A highly efficient and accurate numerical method for the electromagnetic scattering problem with rectangular cavities23
Multi-species kinetic-fluid coupling for high-energy density simulations22
Numerical approximation of kinetic Fokker–Planck equations with specular reflection boundary conditions22
A nearly-conservative, high-order, forward Lagrange–Galerkin method for the resolution of compressible flows on unstructured triangular meshes22
A hybrid stochastic interpolation and compression method for kernel matrices22
Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state22
An immersed peridynamics model of fluid-structure interaction accounting for material damage and failure22
Efficient solution of bimaterial Riemann problems for compressible multi-material flow simulations22
A simple Chimera grid method with an implicit Dirichlet/Neumann coupling scheme for flows with moving boundaries22
A stable FDTD subgridding scheme with SBP-SAT for transient TM analysis22
NySALT: Nyström-type inference-based schemes adaptive to large time-stepping22
Editorial Board22
DNN modeling of partial differential equations with incomplete data22
Topology optimization for surface flows22
Learning-based local weighted least squares for algebraic multigrid method21
A new integrator for relativistic E-cross-B motion of charged particles21
Stable and efficient FEM-BEM coupling with OSRC regularisation for acoustic wave transmission21
Numerical approximation of singular forward-backward SDEs21
Multi-element flow-driven spectral chaos (ME-FSC) method for uncertainty quantification of dynamical systems21
Full-waveform redatuming via a TRAC approach: A first step towards target oriented inverse problem21
Three kinds of novel multi-symplectic methods for stochastic Hamiltonian partial differential equations21
Stability analysis of higher-order neutronics-depletion coupling schemes and Bateman operators21
The smooth forcing extension method: A high-order technique for solving elliptic equations on complex domains21
A front-tracking method for simulating interfacial flows with particles and soluble surfactants21
Can cancer cells inform us about the tumor microenvironment?21
An efficient parallel iteration algorithm for nonlinear diffusion equations with time extrapolation techniques and the Jacobi explicit scheme21
Local strategies for improving the conditioning of the plane-wave Ultra-Weak Variational Formulation21
Spectral estimation from simulations via sketching21
The anatomy of Boris type solvers and the Lie operator formalism for deriving large time-step magnetic field integrators21
A multi-objective Bayesian optimization environment for systematic design of numerical schemes for compressible flow21
Vapor-liquid phase transition in fluctuating hydrodynamics: The most probable transition path and its computation21
Refinement of polygonal grids using Convolutional Neural Networks with applications to polygonal Discontinuous Galerkin and Virtual Element methods20
Debye source representations for type-I superconductors, I20
Editorial Board20
Editorial Board20
A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations20
Computational mean-field games on manifolds20
A hybrid moment of fluid–level set framework for simulating primary atomization20
A new norm and stability condition for tensor product flux reconstruction schemes20
A novel interpolation-free sharp-interface immersed boundary method19
Controlling anisotropy in 2D microscopic models of growth19
APFOS-Net: Asymptotic preserving scheme for anisotropic elliptic equations with deep neural network19
Surface fluctuating hydrodynamics methods for the drift-diffusion dynamics of particles and microstructures within curved fluid interfaces19
Diffraction grating with space-time modulation19
High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations19
Machine learning moment closure models for the radiative transfer equation I: Directly learning a gradient based closure19
Editorial Board19
New options for explicit all Mach number schemes by suitable choice of time integration methods19
Generalized polynomial chaos-informed efficient stochastic Kriging19
Editorial Board19
A DLM/FD method for simulating balls settling in Oldroyd-B viscoelastic fluids19
An all-Mach, low-dissipation strategy for simulating multiphase flows19
An immersed boundary method for wall-modeled large-eddy simulation of turbulent high-Mach-number flows19
A method for generating moving, orthogonal, area preserving polygonal meshes19
Editorial Board18
Unbiased estimation using a class of diffusion processes18
Extending EB3 scheme for the differential conservation law from node-centered to cell-centered control volumes I: Basic formula on regular cells18
Full-variable Cartesian grid method for incompressible and multiphase flows18
A scalable, robust parallel algorithm on handling of sliding non-conformal interfaces with an efficient supermesh method18
Full-waveform inversion using level set and cut elements for sharp-interface problems18
A scalable spectral Stokes solver for simulation of time-periodic flows in complex geometries18
High order, semi-implicit, energy stable schemes for gradient flows18
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation18
Multi-point momentum interpolation correction on collocated meshes18
Editorial Board18
Entropy stability for the compressible Navier-Stokes equations with strong imposition of the no-slip boundary condition18
Data driven Dirichlet sampling on manifolds18
Eulerian algorithms for computing some Lagrangian flow network quantities18
GP-MOOD: A positivity-preserving high-order finite volume method for hyperbolic conservation laws18
An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains18
High-order pressure estimates for projection-based Navier-Stokes solvers18
A vertex scheme for two-phase flow in heterogeneous media18
Multi-index ensemble Kalman filtering18
A direct sampling method for simultaneously recovering electromagnetic inhomogeneous inclusions of different nature18
Stable a posteriori LES of 2D turbulence using convolutional neural networks: Backscattering analysis and generalization to higher Re via transfer learning17
Exact and efficient wall distance pre-classification overset grid assembly for unstructured grids17
Multi-scale two-domain numerical modeling of stationary positive DC corona discharge/drift-region coupling17
An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations17
Weak boundary conditions for Lagrangian shock hydrodynamics: A high-order finite element implementation on curved boundaries17
Application of discrete mechanics model to jump conditions in two-phase flows17
An electromechanics-driven fluid dynamics model for the simulation of the whole human heart17
An Eulerian finite-volume approach of fluid-structure interaction problems on quadtree meshes17
A new primal-dual weak Galerkin method for elliptic interface problems with low regularity assumptions17
Efficient extraction of resonant states in systems with defects17
An adaptive space-time algorithm for the incompressible Navier-Stokes equations17
A new variable-order fractional momentum operator for wave absorption when solving Schrödinger equations17
A moving embedded boundary approach for the compressible Navier-Stokes equations in a block-structured adaptive refinement framework17
Dissipation-based WENO stabilization of high-order finite element methods for scalar conservation laws17
B-DeepONet: An enhanced Bayesian DeepONet for solving noisy parametric PDEs using accelerated replica exchange SGLD17
On the role of global conservation property for finite difference schemes17
Contrast-independent partially explicit time discretizations for multiscale flow problems17
ADER scheme for incompressible Navier-Stokes equations on overset grids with a compact transmission condition17
A low-rank complexity reduction algorithm for the high-dimensional kinetic chemical master equation17
A new surface tension formulation in smoothed particle hydrodynamics for free-surface flows17
A prediction-correction based iterative convolution-thresholding method for topology optimization of heat transfer problems17
Multiresolution convolutional autoencoders17
High-order velocity and pressure wall boundary conditions in Eulerian incompressible SPH17
High-order curvilinear finite element magneto-hydrodynamics I: A conservative Lagrangian scheme17
An efficient IMEX-DG solver for the compressible Navier-Stokes equations for non-ideal gases17
Approximately well-balanced Discontinuous Galerkin methods using bases enriched with Physics-Informed Neural Networks17
“A posteriori” limited high order and robust schemes for transient simulations of fluid flows in gas dynamics17
An improved model for compressible multiphase flows based on Smoothed Particle Hydrodynamics with enhanced particle regeneration technique17
Partial optimal transport for a constant-volume Lagrangian mesh with free boundaries17
Parametric surface reconstruction from 3D point data using partial differential equation and bilinearly blended Coons patch16
Numerical simulation of rarefied supersonic flows using a fourth-order maximum-entropy moment method with interpolative closure16
Surrogate modeling for Bayesian inverse problems based on physics-informed neural networks16
Impact of curved elements for flows over orography with a Discontinuous Galerkin scheme16
Multi-scale three-domain approach for coupling free flow and flow in porous media including droplet-related interface processes16
A Volume-of-Fluid method for multicomponent droplet evaporation with Robin boundary conditions16
A multi-dimensional, robust, and cell-centered finite-volume scheme for the ideal MHD equations16
Analysis of efficient preconditioner for solving Poisson equation with Dirichlet boundary condition in irregular three-dimensional domains16
On spurious solutions encountered in Helmholtz scattering resonance computations in 16
Editorial Board16
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