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 2022-05-01 to 2026-05-01.)
ArticleCitations
Editorial Board434
Tikhonov regularization as a nonparametric method for uncertainty quantification in aggregate data problems340
NySALT: Nyström-type inference-based schemes adaptive to large time-stepping318
The Navier-Stokes system with temperature and salinity for free surface flows. Numerical scheme and validation286
A numerical extension of the spatially-filtered Euler equations for contact discontinuities160
High-order stochastic integration schemes for the Rosenbluth-Trubnikov collision operator in particle simulations145
Low-rank Monte Carlo for Smoluchowski-class equations138
Editorial Board136
Editorial Board129
Full-waveform inversion using level set and cut elements for sharp-interface problems107
The anatomy of Boris type solvers and the Lie operator formalism for deriving large time-step magnetic field integrators106
Multiscale data-driven modeling for nonlinear dynamical system with external inputs in porous media96
On Physics-Informed Neural Networks training for coupled hydro-poromechanical problems94
Compressing the memory variables in constant-Q viscoelastic wave propagation via an improved sum-of-exponentials approximation94
High-order oscillation-eliminating Hermite WENO method for hyperbolic conservation laws93
A stable FDTD subgridding scheme with SBP-SAT for transient TM analysis92
A scalable, robust parallel algorithm on handling of sliding non-conformal interfaces with an efficient supermesh method91
Full-waveform reconstruction of micro-seismic events via topological derivative approach90
The decomposed HOLO scheme: Enabling large time steps for the gray radiative transfer equation across three distinct limits89
Efficient boundary integral method to evaluate the acoustic scattering from coupled fluid-fluid problems excited by multiple sources85
A bound-preserving Runge–Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws85
Corrigendum to “A unified Quasi-Spectral Viscosity (QSV) approach to shock capturing and large-eddy simulation” [J. Comput. Phys. 455 (2022) 111139]84
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
An energy stable incompressible multi-phase flow formulation77
A stable physics-guided neural networks approach for electromagnetic problems74
An Immersed Boundary Method for pressure-based compressible solvers with applications to free-convection flows, acoustic wave propagation and thermal plasma73
A data-driven statistical-stochastic surrogate modeling strategy for complex nonlinear non-stationary dynamics71
Positivity-preserving and entropy-bounded discontinuous Galerkin method for the chemically reacting, compressible Navier-Stokes equations71
A multi-objective Bayesian optimization environment for systematic design of numerical schemes for compressible flow65
A collision-based hybrid method for the BGK equation65
Positivity-preserving and entropy-bounded discontinuous Galerkin method for the chemically reacting, compressible Euler equations. Part I: The one-dimensional case64
A particle-in-Fourier method with semi-discrete energy conservation for non-periodic boundary conditions63
High order treatment of moving curved boundaries: Arbitrary-Lagrangian-Eulerian methods with a shifted boundary polynomial correction58
Weak boundary conditions for Lagrangian shock hydrodynamics: A high-order finite element implementation on curved boundaries58
Differentiable neural network representation of multi-well, locally-convex potentials58
High resolution optimized high-order schemes for discretization of non-linear straight and mixed second derivative terms58
A FEM towards 3D multi-component elastic interface problems and phononic crystals with nested and intersected scatterer geometries57
ADER scheme for incompressible Navier-Stokes equations on overset grids with a compact transmission condition57
Numerical optimization of Neumann eigenvalues of domains in the sphere57
Neural operator-based super-fidelity: A warm-start approach for accelerating steady-state simulations56
Hamiltonian Particle-in-Cell methods for Vlasov–Poisson equations54
Sub-filter-scale (SFS) compressible turbulence modeling and shock capturing via the Block-Spectral-Stress (BSS) closure52
Uniformly high order discontinuous Galerkin gas kinetic scheme for compressible flows52
A hybrid two-level MCMC framework to accelerate posterior mean estimation with deep learning surrogates for bayesian inverse problems52
Grid-point requirements for direct kinetic simulation of weakly collisional plasma plume expansion52
Navier-Stokes characteristic boundary conditions for high-enthalpy compressible flows in thermochemical non-equilibrium52
New options for explicit all Mach number schemes by suitable choice of time integration methods51
Exponential DG methods for Vlasov equations51
Asymptotically preserving particle methods for strongly magnetized plasmas in a torus51
BEM-based fast frequency sweep for acoustic scattering by periodic slab50
Energy and entropy conserving compatible finite elements with upwinding for the thermal shallow water equations50
A Shifted Boundary Method for the compressible Euler equations50
Instantaneous turbulent kinetic energy modelling based on Lagrangian stochastic approach in CFD and application to wind energy49
Structure-preserving parametric finite element methods for simulating axisymmetric solid-state dewetting problems with anisotropic surface energies49
A moving embedded boundary approach for the compressible Navier-Stokes equations in a block-structured adaptive refinement framework49
Learning “best” kernels from data in Gaussian process regression. With application to aerodynamics47
An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods46
A parallel algorithm for detection and tracking of non-binary fragmentation and coalescence of droplets and bubbles in numerical simulations of multiphase flows45
Polytopal discontinuous Galerkin discretization of brain multiphysics flow dynamics44
Correcting noisy dynamic mode decomposition with Kalman filters44
A phase field-based systematic multiscale topology optimization method for porous structures design44
A multi-fidelity transfer learning strategy based on multi-channel fusion43
Path-conservative positivity-preserving well-balanced finite volume WENO method for porous shallow water equations43
A polynomial-reproducing Taylor transfer and Jameson–Schmidt–Turkel stabilization for the material point method43
Fokker-Planck multi-species equations in the adiabatic asymptotics43
A data-driven distributed force model for wall-modeled large-eddy simulations of rough-wall turbulence42
An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation42
A robust phase-field method for two-phase flows on unstructured grids42
Enhanced profile-preserving phase-field model of two-phase flow with surfactant interfacial transport and Marangoni effects42
A finite volume framework for the fully implicit thermal-hydro-mechanical-compositional modeling in subsurface applications41
A neural network multigrid solver for the Navier-Stokes equations41
DeepOMamba: State-space model for spatio-temporal PDE neural operator learning41
A hybrid WENO5IS-THINC reconstruction scheme for compressible multiphase flows41
Isoparametric finite element methods for mean curvature flow and surface diffusion41
A low-rank power iteration scheme for neutron transport criticality problems40
Fully coupled implicit hydro-mechanical multiphase flow simulation in deformable porous media using DEM40
The extended Discontinuous Galerkin method for two-phase flows with evaporation40
IGA-Graph-Net: Isogeometric analysis-reuse method based on graph neural networks for topology-consistent models40
A locally corrected multiblob method with hydrodynamically matched grids for the Stokes mobility problem39
Editorial Board38
A three-dimensional curve interface reconstruction algorithm for two-phase fluid flow38
A hybridizable discontinuous Galerkin method with transmission variables for time-harmonic acoustic problems in heterogeneous media38
Annealed adaptive importance sampling method in PINNs for solving high dimensional partial differential equations37
Efficient implementation of transport velocity formulation37
A hybrid iterative neural solver based on spectral analysis for parametric PDEs37
Wasserstein-penalized Entropy closure: A use case for stochastic particle methods37
A multi-degree-of-freedom gas kinetic multi-prediction implicit scheme37
Differentiable and accelerated spherical harmonic and Wigner transforms36
Deep neural networks based temporal-difference methods for high-dimensional parabolic partial differential equations35
GrainGNN: A dynamic graph neural network for predicting 3D grain microstructure35
Efficient uncertain keff computations with the Monte Carlo resolution of generalised Polynomial Chaos based reduced models35
Tensor-product-Thomas elliptic solver for liquid-metal magnetohydrodynamics35
Towards a genuinely stable boundary closure for pentadiagonal compact finite difference schemes34
Estimating QSVT angles for matrix inversion with large condition numbers34
Stein-based preconditioners for weak-constraint 4D-var33
A scalable method to model large suspensions of colloidal phoretic particles with arbitrary shapes33
Integral equation methods for the Morse-Ingard equations33
A volumetric approach to Monge's optimal transport on surfaces33
Well-balanced path-conservative central-upwind schemes based on flux globalization33
A hybrid semi-Lagrangian DG and ADER-DG solver on a moving mesh for Liouville's equation of geometrical optics33
A finite volume algorithm for the dynamics of filaments, rods, and beams33
A new semi-implicit pressure-based solver considering real gas effect33
Numerical simulations of the phase behaviors of rod-coil diblock copolymers confined on a spherical surface32
Asynchronous task based Eulerian-Lagrangian parallel solver for combustion applications32
Numerical dispersion free in longitudinal axis for particle-in-cell simulation32
Mapping flagellated swimmers to surface-slip driven swimmers32
Parameterized analytical solution of seepage equation for reservoir simulation using physics-informed kolmogorov-arnold network without labels32
Accelerated nonlinear domain decomposition solver for multi-phase flow and transport in porous media32
A Characteristic Mapping Method for the three-dimensional incompressible Euler equations32
Adaptive Compressible Smoothed Particle Hydrodynamics32
Editorial Board32
Treatment of polar grid singularities in the bi-cubic Hermite-Bézier approximations: Isoparametric finite element framework32
The method of fundamental solutions for multi-particle Stokes flows: Application to a ring-like array of spheres32
Positivity-preserving and entropy-bounded discontinuous Galerkin method for the chemically reacting, compressible Euler equations. Part II: The multidimensional case31
R-PINN: Recovery-type a-posteriori estimator enhanced adaptive PINN31
Imaging anisotropic conductivity from internal measurements with mixed least-squares deep neural networks31
DSC-PINN: A decomposed singularity-capturing PINN for time-fractional PDEs involving initial singularities31
Overlapping multiplicative Schwarz preconditioning for linear and nonlinear systems31
Structure-preserving dimensionality reduction for learning Hamiltonian dynamics31
A survey of unsupervised learning methods for high-dimensional uncertainty quantification in black-box-type problems31
Convergent sequential fully implicit method for reservoir simulation30
Proper orthogonal descriptors for multi-element chemical systems30
An energy stable and positivity-preserving computational method for compressible and immiscible two-phase flow in porous media30
Centralized gradient-based reconstruction for wall modeled large eddy simulations of hypersonic boundary layer transition30
Deep finite volume method for partial differential equations30
Democratizing uncertainty quantification30
A duality-preserving adjoint method for segregated Navier–Stokes solvers30
Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty30
Accelerating high-order continuum kinetic plasma simulations using multiple GPUs30
High-order Lagrangian algorithms for Liouville models of particle-laden flows29
A scalable collocated finite volume scheme for simulation of induced fault slip29
Hybrid discontinuous Galerkin-finite volume techniques for compressible flows on unstructured meshes29
Parabolic interface reconstruction for 2D volume of fluid methods29
An efficient AWENO finite difference scheme with Lax-Wendroff time discretization for compressible multi-component flows29
An almost fail-safe a-posteriori limited high-order CAT scheme29
A finite-volume moving-mesh method for two-phase flow in dynamically fracturing porous media28
An entropy stable essentially oscillation-free discontinuous Galerkin method for solving ideal magnetohydrodynamic equations28
Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD28
High-order moment-based Hermite WENO schemes for hyperbolic conservation laws on triangular meshes27
PICT–A differentiable, GPU-accelerated multi-block PISO solver for simulation-coupled learning tasks in fluid dynamics27
Predictive reduced order modeling of chaotic multi-scale problems using adaptively sampled projections27
Sapphire++: A particle transport code combining a spherical harmonic expansion and the discontinuous Galerkin method27
A stochastic Galerkin method with adaptive time-stepping for the Navier–Stokes equations27
A parameter-free and monolithic approach for multiscale simulations of flow, transport, and chemical reactions in porous media27
Model discovery on the fly using continuous data assimilation27
Approximately pressure-equilibrium-preserving scheme for fully conservative simulations of compressible multi-species and real-fluid interfacial flows27
An inversion approach to reconstruct the complex potential and intensity function in the Schrödinger evolution equation27
A multi-directional advection based moment of fluid method for phase change problems27
Structure-preserving discretizations of two-phase Navier–Stokes flow using fitted and unfitted approaches27
A cusp-capturing PINN for elliptic interface problems26
A family of well-balanced WENO and TENO schemes for atmospheric flows26
A charge-momentum-energy-conserving 1D3V hybrid Lagrangian–Eulerian method for Vlasov–Maxwell system26
A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations26
Particle simulation methods for the Landau-Fokker-Planck equation with uncertain data26
An unstructured finite-volume level set / front tracking method for two-phase flows with large density-ratios26
Stochastic and self-consistent 3D modeling of streamer discharge trees with Kinetic Monte Carlo26
An enhanced Euler-Lagrangian framework for vortex dynamics and particle transport in a human dynamic airway: Model, Validation, and Analysis26
A reconstructed discontinuous Galerkin method based on variational formulation for compressible flows26
Third-order Paired Explicit Runge-Kutta schemes for stiff systems of equations26
PFWNN: A deep learning method for solving forward and inverse problems of phase-field models26
Editorial Board25
A family of provable L stable and boundedness preserving high order Runge-Kutta discrete exterior calculus discretization for conservative phase field method25
Conservative integrators for many–body problems25
A multi-resolution method for internal partial discharge simulation25
An accurate, robust and efficient convection-pressure flux splitting scheme for compressible Euler flows25
Numerical studies of domain sampling methods for inverse boundary value problems by one measurement25
On deterministic numerical methods for the quantum Boltzmann-Nordheim equation. I. Spectrally accurate approximations, Bose-Einstein condensation, Fermi-Dirac saturation25
Time-domain illposedness of effective frequency-domain boundary conditions for quiescent viscothermal acoustics25
Computing interfacial flows of viscous fluids25
Coupling staggered-grid and vertex-centered finite-volume methods for coupled porous-medium free-flow problems25
On pitfalls in accuracy verification using time-dependent problems25
A novel approach to radially global gyrokinetic simulation using the flux-tube code stella25
Variational Multiscale immersed boundary method for incompressible turbulent flows24
Editorial Board24
A double-layer non-hydrostatic model for simulating wave-structure and wave-jet interactions24
Identifying large-scale linear parameter varying systems with dynamic mode decomposition methods24
Editorial Board24
Data assimilation with physics-informed neural network surrogates constructed against prediction uncertainty24
Nonlocal transport equations in multiscale media. Modeling, dememorization, and discretizations24
Energy-stable numerical method for compressible flow with generalized Navier boundary condition24
Non-oscillatory entropy stable DG schemes for hyperbolic conservation law24
Variational inference with NoFAS: Normalizing flow with adaptive surrogate for computationally expensive models24
Secondary conservation properties of compact schemes in split forms24
A method for bounding high-order finite element functions: Applications to mesh validity and bounds-preserving limiters24
A parameter-free staggered-grid Lagrangian scheme for two-dimensional compressible flow problems24
Group Projected subspace pursuit for IDENTification of variable coefficient differential equations (GP-IDENT)24
Solving eigenvalue PDEs of metastable diffusion processes using artificial neural networks24
Model reduction for the material point method via an implicit neural representation of the deformation map23
A fast time-domain boundary element method for three-dimensional electromagnetic scattering problems23
A generalized coupled level set/volume-of-fluid/ghost fluid method for detailed simulation of gas-liquid flows23
Second order symmetry-preserving conservative intersection-based remapping method in two-dimensional cylindrical coordinates23
Error analysis and numerical algorithm for PDE approximation with hidden-layer concatenated physics informed neural networks23
Numerical method for compressible gas-particle flow coupling using adaptive parcel refinement (APR) method on non-uniform mesh23
Robust DG schemes on unstructured triangular meshes: Oscillation elimination and bound preservation via optimal convex decomposition23
A positive and asymptotic preserving scheme for the multi-group radiative equations23
A kinetic energy and entropy preserving (KEEP) finite volume scheme on unstructured meshes for compressible flows23
Editorial Board23
A mixed-dimensional model for the electrostatic problem on coupled domains23
The traveling foam wavefront in fractured porous medium23
Finite difference method in prolate spheroidal coordinates for freely suspended spheroidal particles in linear flows of viscous and viscoelastic fluids23
Second-order accurate and unconditionally stable algorithm with unique solvability for a phase-field model of 3D volume reconstruction23
An efficient bilinear interface reconstruction algorithm and consistent multidimensional unsplit advection scheme for accurate capturing of highly-curved interfacial shapes on structured grids23
An improved stochastic weighted particle method for boundary driven flows23
Adaptive hp-polynomial based sparse grid collocation algorithms for piecewise smooth functions with kinks23
A spectral boundary integral method for simulating electrohydrodynamic flows in viscous drops23
Editorial Board23
A seven-equation diffused interface method for resolved multiphase flows23
Adaptive hyper-reduction of non-sparse operators: Application to parametric particle-based kinetic plasma models22
Physics-informed machine learning for wetting hydrodynamics22
A stochastic maximum principle approach for reinforcement learning with parameterized environment22
High resolution adaptive implicit method for reactive transport in heterogeneous porous media22
An implicit moving-least-squares immersed boundary method for high-fidelity fluid-structure interaction simulations22
A shifted boundary method for thermal flows22
A positivity-preserving hybrid DDG method for Poisson–Nernst–Planck systems22
Efficient High-Fidelity Three-dimensional Super-Resolution Reconstruction of Swirling Flame via Spaced Physically Consistent Diffusion Model22
Data-driven wall modeling for turbulent separated flows22
An unstructured high-order finite-volume scheme for the simulation of reactive multi-species flows22
Greedy selection of optimal location of sensors for uncertainty reduction in seismic moment tensor inversion22
Geometric-structure preserving methods for surface evolution in curvature flows with minimal deformation formulations22
Change of measure for Bayesian field inversion with hierarchical hyperparameters sampling22
Efficient numerical integration for finite element trunk spaces in 2D and 3D using machine learning: A new optimisation paradigm to construct application-Specific quadrature rules22
Analytic continuation from limited noisy Matsubara data22
A nodal immersed finite element-finite difference method22
High-order variational Lagrangian schemes for compressible fluids22
Neuroscience inspired neural operator for partial differential equations21
Parameter-robust methods for the Biot–Stokes interfacial coupling without Lagrange multipliers21
Accurate and robust predictions for model order reduction via an adaptive, hybrid FOM/ROM approach21
Energy-conserving hyper-reduction and temporal localization for reduced order models of the incompressible Navier-Stokes equations21
A multi-mesh approach for accurate computation of multi-target functionals in aerodynamics design21
Deep reinforcement learning of viscous incompressible flow21
Quasiperiodic perturbations of Stokes waves: Secondary bifurcations and stability21
FSISPH: An SPH formulation for impacts between dissimilar materials21
Entropy conservative discretization of compressible Euler equations with an arbitrary equation of state21
Novel TENO schemes with improved accuracy order based on perturbed polynomial reconstruction21
A semi-analytical transient undisturbed velocity correction scheme for wall-bounded two-way coupled Euler-Lagrange simulations21
Fast convergence strategy for ambiguous inverse problems based on hierarchical regularization21
Theoretical analysis of pseudospectral convergence based on total variation and a related mesh refinement method21
General synthetic iterative scheme for non-equilibrium dense gas flows21
A numerical method for solving snapping out Brownian motion in 2D bounded domains21
Immersed boundary simulations of flows driven by moving thin membranes20
VS-PINN: A fast and efficient training of physics-informed neural networks using variable-scaling methods for solving PDEs with stiff behavior20
Atomic cluster expansion without self-interaction20
Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation20
The curved mimetic finite difference method: Allowing grids with curved faces20
Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn–Hilliard–Oono equation20
Gradient-enhanced deep Gaussian processes for multifidelity modeling20
Electrical impedance tomography with deep Calderón method20
A two-stage two-derivative fourth order positivity-preserving discontinuous Galerkin method for hyperbolic conservation laws20
High order computation of optimal transport, mean field planning, and potential mean field games20
Learning to solve PDEs with finite volume-informed neural networks in a data-free approach20
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