Journal of Computational Physics

Papers
(The TQCC of Journal of Computational Physics is 9. 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 2022-08-01 to 2026-08-01.)
ArticleCitations
Editorial Board552
Tikhonov regularization as a nonparametric method for uncertainty quantification in aggregate data problems385
NySALT: Nyström-type inference-based schemes adaptive to large time-stepping368
The Navier-Stokes system with temperature and salinity for free surface flows. Numerical scheme and validation316
A numerical extension of the spatially-filtered Euler equations for contact discontinuities194
High-order stochastic integration schemes for the Rosenbluth-Trubnikov collision operator in particle simulations164
Low-rank Monte Carlo for Smoluchowski-class equations142
Editorial Board121
Editorial Board107
A scalable, robust parallel algorithm on handling of sliding non-conformal interfaces with an efficient supermesh method104
Efficient boundary integral method to evaluate the acoustic scattering from coupled fluid-fluid problems excited by multiple sources102
ADER scheme for incompressible Navier-Stokes equations on overset grids with a compact transmission condition100
Numerical optimization of Neumann eigenvalues of domains in the sphere99
A stable physics-guided neural networks approach for electromagnetic problems99
Multiscale data-driven modeling for nonlinear dynamical system with external inputs in porous media93
The anatomy of Boris type solvers and the Lie operator formalism for deriving large time-step magnetic field integrators93
New options for explicit all Mach number schemes by suitable choice of time integration methods91
Grid-point requirements for direct kinetic simulation of weakly collisional plasma plume expansion84
Navier-Stokes characteristic boundary conditions for high-enthalpy compressible flows in thermochemical non-equilibrium82
A FEM towards 3D multi-component elastic interface problems and phononic crystals with nested and intersected scatterer geometries82
Corrigendum to “A unified Quasi-Spectral Viscosity (QSV) approach to shock capturing and large-eddy simulation” [J. Comput. Phys. 455 (2022) 111139]81
Corrigendum to “A modified Sn method for calculating the uncollided flux from a point source without ray effects” [Journal of Computational Physics, 488 (2023), 1-1 / 112217]80
Sub-filter-scale (SFS) compressible turbulence modeling and shock capturing via the Block-Spectral-Stress (BSS) closure80
A parallel algorithm for detection and tracking of non-binary fragmentation and coalescence of droplets and bubbles in numerical simulations of multiphase flows75
A locally corrected multiblob method with hydrodynamically matched grids for the Stokes mobility problem74
Fully coupled implicit hydro-mechanical multiphase flow simulation in deformable porous media using DEM73
Enhanced profile-preserving phase-field model of two-phase flow with surfactant interfacial transport and Marangoni effects72
A data-driven distributed force model for wall-modeled large-eddy simulations of rough-wall turbulence71
Efficient monotonic Gaussian processes via Randomize-then-Optimize71
Treatment of discontinuous and singular source terms in hyperbolic systems70
Fokker-Planck multi-species equations in the adiabatic asymptotics70
An Immersed Boundary Method for pressure-based compressible solvers with applications to free-convection flows, acoustic wave propagation and thermal plasma69
A Shifted Boundary Method for the compressible Euler equations66
Differentiable neural network representation of multi-well, locally-convex potentials64
BEM-based fast frequency sweep for acoustic scattering by periodic slab63
Positivity-preserving and entropy-bounded discontinuous Galerkin method for the chemically reacting, compressible Euler equations. Part I: The one-dimensional case62
A collision-based hybrid method for the BGK equation62
Positivity-preserving and entropy-bounded discontinuous Galerkin method for the chemically reacting, compressible Navier-Stokes equations62
High order treatment of moving curved boundaries: Arbitrary-Lagrangian-Eulerian methods with a shifted boundary polynomial correction60
Weak boundary conditions for Lagrangian shock hydrodynamics: A high-order finite element implementation on curved boundaries60
Isoparametric finite element methods for mean curvature flow and surface diffusion59
Compressing the memory variables in constant-Q viscoelastic wave propagation via an improved sum-of-exponentials approximation59
Instantaneous turbulent kinetic energy modelling based on Lagrangian stochastic approach in CFD and application to wind energy59
The decomposed HOLO scheme: Enabling large time steps for the gray radiative transfer equation across three distinct limits59
A three-dimensional curve interface reconstruction algorithm for two-phase fluid flow58
High-order oscillation-eliminating Hermite WENO method for hyperbolic conservation laws58
Predictor-corrector discrete unified gas kinetic scheme for Boltzmann transport models with non-conservative collision operators56
Deep learning for the semi-classical limit of the Schrödinger equation55
A bound-preserving Runge–Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws54
An energy stable incompressible multi-phase flow formulation54
Uniformly high order discontinuous Galerkin gas kinetic scheme for compressible flows54
An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation51
A hybrid WENO5IS-THINC reconstruction scheme for compressible multiphase flows50
Full-waveform reconstruction of micro-seismic events via topological derivative approach50
A hybrid two-level MCMC framework to accelerate posterior mean estimation with deep learning surrogates for bayesian inverse problems49
Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics47
High resolution optimized high-order schemes for discretization of non-linear straight and mixed second derivative terms47
A data-driven statistical-stochastic surrogate modeling strategy for complex nonlinear non-stationary dynamics46
IGA-Graph-Net: Isogeometric analysis-reuse method based on graph neural networks for topology-consistent models46
Learning “best” kernels from data in Gaussian process regression. With application to aerodynamics46
An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods45
Energy and entropy conserving compatible finite elements with upwinding for the thermal shallow water equations45
Structure-preserving parametric finite element methods for simulating axisymmetric solid-state dewetting problems with anisotropic surface energies44
A stable FDTD subgridding scheme with SBP-SAT for transient TM analysis44
Hamiltonian Particle-in-Cell methods for Vlasov–Poisson equations44
Energy-Stable, L2-Stable, and weakly H1-Stable BDF2 viscosity splitting method for the penalized incompressible navier–Stokes equations44
Asymptotically preserving particle methods for strongly magnetized plasmas in a torus43
A robust phase-field method for two-phase flows on unstructured grids43
Full-waveform inversion using level set and cut elements for sharp-interface problems42
Path-conservative positivity-preserving well-balanced finite volume WENO method for porous shallow water equations42
A moving embedded boundary approach for the compressible Navier-Stokes equations in a block-structured adaptive refinement framework42
Exponential DG methods for Vlasov equations42
A multi-fidelity transfer learning strategy based on multi-channel fusion42
A low-rank power iteration scheme for neutron transport criticality problems42
A phase field-based systematic multiscale topology optimization method for porous structures design41
A particle-in-Fourier method with semi-discrete energy conservation for non-periodic boundary conditions41
A multi-objective Bayesian optimization environment for systematic design of numerical schemes for compressible flow41
A finite volume framework for the fully implicit thermal-hydro-mechanical-compositional modeling in subsurface applications41
Neural operator-based super-fidelity: A warm-start approach for accelerating steady-state simulations41
DeepOMamba: State-space model for spatio-temporal PDE neural operator learning40
The extended Discontinuous Galerkin method for two-phase flows with evaporation40
On Physics-Informed Neural Networks training for coupled hydro-poromechanical problems40
High-order moment-based Hermite WENO schemes for hyperbolic conservation laws on triangular meshes39
Wasserstein-penalized Entropy closure: A use case for stochastic particle methods39
Editorial Board39
Numerical dispersion free in longitudinal axis for particle-in-cell simulation38
An energy stable and positivity-preserving computational method for compressible and immiscible two-phase flow in porous media38
Democratizing uncertainty quantification38
Estimating QSVT angles for matrix inversion with large condition numbers37
Tensor-product-Thomas elliptic solver for liquid-metal magnetohydrodynamics37
Treatment of polar grid singularities in the bi-cubic Hermite-Bézier approximations: Isoparametric finite element framework36
High-order Lagrangian algorithms for Liouville models of particle-laden flows35
A new semi-implicit pressure-based solver considering real gas effect35
A finite volume algorithm for the dynamics of filaments, rods, and beams35
Hybrid discontinuous Galerkin-finite volume techniques for compressible flows on unstructured meshes35
A volumetric approach to Monge's optimal transport on surfaces35
Structure-preserving discretizations of two-phase Navier–Stokes flow using fitted and unfitted approaches34
Editorial Board34
Stein-based preconditioners for weak-constraint 4D-var34
A hybrid iterative neural solver based on spectral analysis for parametric PDEs34
Integral equation methods for the Morse-Ingard equations34
Mapping flagellated swimmers to surface-slip driven swimmers34
Parameterized analytical solution of seepage equation for reservoir simulation using physics-informed kolmogorov-arnold network without labels34
A hybrid semi-Lagrangian DG and ADER-DG solver on a moving mesh for Liouville's equation of geometrical optics34
Coupling staggered-grid and vertex-centered finite-volume methods for coupled porous-medium free-flow problems33
Numerical studies of domain sampling methods for inverse boundary value problems by one measurement33
Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method33
A stochastic Galerkin method with adaptive time-stepping for the Navier–Stokes equations33
A scalable method to model large suspensions of colloidal phoretic particles with arbitrary shapes33
Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty33
A duality-preserving adjoint method for segregated Navier–Stokes solvers32
Parabolic interface reconstruction for 2D volume of fluid methods32
Accelerating high-order continuum kinetic plasma simulations using multiple GPUs31
Accelerated nonlinear domain decomposition solver for multi-phase flow and transport in porous media31
Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD31
A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations31
PICT–A differentiable, GPU-accelerated multi-block PISO solver for simulation-coupled learning tasks in fluid dynamics31
A multi-directional advection based moment of fluid method for phase change problems31
An inversion approach to reconstruct the complex potential and intensity function in the Schrödinger evolution equation31
Proper orthogonal descriptors for multi-element chemical systems30
Third-order Paired Explicit Runge-Kutta schemes for stiff systems of equations30
A multi-degree-of-freedom gas kinetic multi-prediction implicit scheme30
Positivity-preserving and entropy-bounded discontinuous Galerkin method for the chemically reacting, compressible Euler equations. Part II: The multidimensional case30
Numerical simulations of the phase behaviors of rod-coil diblock copolymers confined on a spherical surface30
Convergent sequential fully implicit method for reservoir simulation30
A family of provable L stable and boundedness preserving high order Runge-Kutta discrete exterior calculus discretization for conservative phase field method30
A charge-momentum-energy-conserving 1D3V hybrid Lagrangian–Eulerian method for Vlasov–Maxwell system30
Fourth-order compact finite difference methods for nonlinear convection-diffusion equations29
Structure-preserving dimensionality reduction for learning Hamiltonian dynamics29
Towards a genuinely stable boundary closure for pentadiagonal compact finite difference schemes29
R-PINN: Recovery-type a-posteriori estimator enhanced adaptive PINN28
An almost fail-safe a-posteriori limited high-order CAT scheme28
A scalable collocated finite volume scheme for simulation of induced fault slip28
A family of well-balanced WENO and TENO schemes for atmospheric flows28
Overlapping multiplicative Schwarz preconditioning for linear and nonlinear systems28
Well-balanced path-conservative central-upwind schemes based on flux globalization28
Toward end-to-end quantum simulation of rapidly distorted turbulence28
Approximately pressure-equilibrium-preserving scheme for fully conservative simulations of compressible multi-species and real-fluid interfacial flows28
Deep neural networks based temporal-difference methods for high-dimensional parabolic partial differential equations28
Efficient implementation of transport velocity formulation28
A parameter-free and monolithic approach for multiscale simulations of flow, transport, and chemical reactions in porous media28
An entropy stable essentially oscillation-free discontinuous Galerkin method for solving ideal magnetohydrodynamic equations27
Particle simulation methods for the Landau-Fokker-Planck equation with uncertain data27
GrainGNN: A dynamic graph neural network for predicting 3D grain microstructure27
The method of fundamental solutions for multi-particle Stokes flows: Application to a ring-like array of spheres27
An efficient AWENO finite difference scheme with Lax-Wendroff time discretization for compressible multi-component flows27
Multiscale simulation Monte Carlo method: Linking spatiotemporal discretization error analysis to algorithmic development27
Deep finite volume method for partial differential equations27
A cusp-capturing PINN for elliptic interface problems27
Imaging anisotropic conductivity from internal measurements with mixed least-squares deep neural networks27
A Characteristic Mapping Method for the three-dimensional incompressible Euler equations27
Predictive reduced order modeling of chaotic multi-scale problems using adaptively sampled projections27
Adaptive Compressible Smoothed Particle Hydrodynamics27
A survey of unsupervised learning methods for high-dimensional uncertainty quantification in black-box-type problems27
A reconstructed discontinuous Galerkin method based on variational formulation for compressible flows27
Annealed adaptive importance sampling method in PINNs for solving high dimensional partial differential equations27
Centralized gradient-based reconstruction for wall modeled large eddy simulations of hypersonic boundary layer transition26
Differentiable and accelerated spherical harmonic and Wigner transforms26
Model discovery on the fly using continuous data assimilation26
PFWNN: A deep learning method for solving forward and inverse problems of phase-field models26
An unstructured finite-volume level set / front tracking method for two-phase flows with large density-ratios26
A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic acoustic problems in heterogeneous media26
Stochastic and self-consistent 3D modeling of streamer discharge trees with Kinetic Monte Carlo26
A Robust PFEM-LS/FEM Partitioned Coupling Framework for 3D Fluid-Structure Interaction26
Time-domain illposedness of effective frequency-domain boundary conditions for quiescent viscothermal acoustics25
Accurate and robust predictions for model order reduction via an adaptive, hybrid FOM/ROM approach25
FSISPH: An SPH formulation for impacts between dissimilar materials25
Entropy conservative discretization of compressible Euler equations with an arbitrary equation of state25
On pitfalls in accuracy verification using time-dependent problems25
Efficient High-Fidelity Three-dimensional Super-Resolution Reconstruction of Swirling Flame via Spaced Physically Consistent Diffusion Model25
A generalized coupled level set/volume-of-fluid/ghost fluid method for detailed simulation of gas-liquid flows25
On deterministic numerical methods for the quantum Boltzmann-Nordheim equation. I. Spectrally accurate approximations, Bose-Einstein condensation, Fermi-Dirac saturation25
Data-driven wall modeling for turbulent separated flows25
A multi-resolution method for internal partial discharge simulation25
Novel TENO schemes with improved accuracy order based on perturbed polynomial reconstruction25
Adaptive hyper-reduction of non-sparse operators: Application to parametric particle-based kinetic plasma models25
Data assimilation with physics-informed neural network surrogates constructed against prediction uncertainty25
An unstructured high-order finite-volume scheme for the simulation of reactive multi-species flows24
Editorial Board24
Deep reinforcement learning of viscous incompressible flow24
A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs24
Subspace decomposition based DNN algorithm for elliptic type multi-scale PDEs24
Uncertainty quantification of the 4th kind; optimal posterior accuracy-uncertainty tradeoff with the minimum enclosing ball24
Robust DG schemes on unstructured triangular meshes: Oscillation elimination and bound preservation via optimal convex decomposition24
Editorial Board24
A multi-mesh approach for accurate computation of multi-target functionals in aerodynamics design24
Geometric-structure preserving methods for surface evolution in curvature flows with minimal deformation formulations24
A fourth order sharp immersed method for the incompressible Navier-Stokes equations with stationary and moving boundaries and interfaces24
A sharp-interface level-set formalism for multiphase suspension flows24
A fast time-domain boundary element method for three-dimensional electromagnetic scattering problems24
Numerical method for compressible gas-particle flow coupling using adaptive parcel refinement (APR) method on non-uniform mesh24
Three-dimensional high-order finite-volume method based on compact WENO reconstruction with hybrid unstructured grids24
A unified 2D conservative framework for multi-medium continuum mechanics by cut-cell interface method24
Massively parallelized interpolated factored Green function method24
Secondary conservation properties of compact schemes in split forms23
Editorial Board23
High-order variational Lagrangian schemes for compressible fluids23
A positivity-preserving hybrid DDG method for Poisson–Nernst–Planck systems23
Variational inference with NoFAS: Normalizing flow with adaptive surrogate for computationally expensive models23
An implicit moving-least-squares immersed boundary method for high-fidelity fluid-structure interaction simulations23
A spectral boundary integral method for simulating electrohydrodynamic flows in viscous drops23
Efficient numerical integration for finite element trunk spaces in 2D and 3D using machine learning: A new optimisation paradigm to construct application-Specific quadrature rules23
A mixed-dimensional model for the electrostatic problem on coupled domains23
A parameter-free staggered-grid Lagrangian scheme for two-dimensional compressible flow problems23
Computing interfacial flows of viscous fluids23
Editorial Board23
Greedy selection of optimal location of sensors for uncertainty reduction in seismic moment tensor inversion23
High resolution adaptive implicit method for reactive transport in heterogeneous porous media23
An accurate, robust and efficient convection-pressure flux splitting scheme for compressible Euler flows23
Fast convergence strategy for ambiguous inverse problems based on hierarchical regularization22
A double-layer non-hydrostatic model for simulating wave-structure and wave-jet interactions22
Second order symmetry-preserving conservative intersection-based remapping method in two-dimensional cylindrical coordinates22
Group Projected subspace pursuit for IDENTification of variable coefficient differential equations (GP-IDENT)22
A two-stage two-derivative fourth order positivity-preserving discontinuous Galerkin method for hyperbolic conservation laws22
A seven-equation diffused interface method for resolved multiphase flows22
A method for bounding high-order finite element functions: Applications to mesh validity and bounds-preserving limiters22
Comparison of stabilization strategies applied to scale-resolved simulations using the discontinuous Galerkin method22
An improved stochastic weighted particle method for boundary driven flows22
A semi-analytical transient undisturbed velocity correction scheme for wall-bounded two-way coupled Euler-Lagrange simulations22
Theoretical analysis of pseudospectral convergence based on total variation and a related mesh refinement method22
A positive and asymptotic preserving scheme for the multi-group radiative equations22
Change of measure for Bayesian field inversion with hierarchical hyperparameters sampling22
Second-order accurate and unconditionally stable algorithm with unique solvability for a phase-field model of 3D volume reconstruction22
A nodal immersed finite element-finite difference method22
A kinetic energy and entropy preserving (KEEP) finite volume scheme on unstructured meshes for compressible flows22
The curved mimetic finite difference method: Allowing grids with curved faces22
A non-intrusive bi-fidelity reduced basis method for time-independent problems22
Conservative integrators for many–body problems21
A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann–BGK equation21
Finite difference method in prolate spheroidal coordinates for freely suspended spheroidal particles in linear flows of viscous and viscoelastic fluids21
An efficient bilinear interface reconstruction algorithm and consistent multidimensional unsplit advection scheme for accurate capturing of highly-curved interfacial shapes on structured grids21
Learning to solve PDEs with finite volume-informed neural networks in a data-free approach21
Inverse initial data reconstruction for Maxwell’s equations via time splitting method21
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations21
Error analysis and numerical algorithm for PDE approximation with hidden-layer concatenated physics informed neural networks21
ModalPINN: An extension of physics-informed Neural Networks with enforced truncated Fourier decomposition for periodic flow reconstruction using a limited number of imperfect sensors21
Non-oscillatory entropy stable DG schemes for hyperbolic conservation law21
Model reduction for the material point method via an implicit neural representation of the deformation map21
Variational Multiscale immersed boundary method for incompressible turbulent flows21
Effect of explicit residual filtering on the stability of finite difference methods21
Parameter-robust methods for the Biot–Stokes interfacial coupling without Lagrange multipliers21
Adaptive hp-polynomial based sparse grid collocation algorithms for piecewise smooth functions with kinks21
The traveling foam wavefront in fractured porous medium21
A shifted boundary method for thermal flows21
Identifying large-scale linear parameter varying systems with dynamic mode decomposition methods21
An efficient finite element method for multi-dimensional nonlocal Laplacian on uniform grids21
A numerical method for solving snapping out Brownian motion in 2D bounded domains21
Self-adjusting steepness-based schemes that preserve discontinuous structures in compressible flows20
Neuroscience inspired neural operator for partial differential equations20
A second-order, mass-conservative, unconditionally stable and bound-preserving finite element method for the quasi-incompressible Cahn-Hilliard-Darcy system20
1.1928441524506