Computers & Mathematics With Applications

Article	Citations
Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemes	124
Editorial Board	54
High-order gas-kinetic scheme with TENO class reconstruction for the Euler and Navier-Stokes equations	47
Sixth order compact finite difference schemes for Poisson interface problems with singular sources	47
Water flow in shallow aquifers without the Dupuit hypothesis	47
On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations	46
A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems	45
Inf-sup stabilized Scott–Vogelius pairs on general shape-regular simplicial grids for Navier–Stokes equations	45
Singular boundary method for 2D and 3D acoustic design sensitivity analysis	40
Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model	38
Non intrusive reduced order modeling of parametrized PDEs by kernel POD and neural networks	38
An Lp	38
Finite element method for an optimal control problem governed by a time fractional wave equation	37
Analysis of free vibration in thin-walled plates using an enhanced polygonal plate element with selective interpolation approach	37
Domain decomposition parabolic Monge–Ampère approach for fast generation of adaptive moving meshes	36
Superconvergence analysis of finite element approximations to Maxwell's equations in both metamaterials and PMLs	35
A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences	34
The Hermite-type virtual element method for second order problem	33
A deep learning algorithm to accelerate algebraic multigrid methods in finite element solvers of 3D elliptic PDEs	32
Exponential stability of Timoshenko beams with three-phase-lag thermoelasticity	31
Adaptive total variational regularization of Gaussian denoisers for multiplicative noise removal	29
A Virtual Element Method coupled with a Boundary Integral Non Reflecting condition for 2D exterior Helmholtz problems	29
A novel and simple spectral method for nonlocal PDEs with the fractional Laplacian	28
Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model	27
Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: A phase-wise approach	27

A simple proof of coerciveness of first-order system least-squares methods for general second-order elliptic PDEs	27
Optimal investigation of the reheating furnace based on a 3D numerical model with the formation of both oxide scale layer and skid marks	27
Solving boundary value problems via the Nyström method using spline Gauss rules	26
Editorial Board	26
A polygonal finite volume element method for anisotropic diffusion problems	25
Editorial Board	25
Editorial Board	25
A node elimination algorithm for cubature of high-dimensional polytopes	24
A phase-field-based multiple-relaxation-time lattice Boltzmann method for incompressible multiphase flows with density and viscosity contrasts	24
A non-uniform magnetic field coupled lattice Boltzmann model and its application on the wetting dynamics of a ferrofluid droplet under gravity effects	24
Mixed finite element method for a second order Dirichlet boundary control problem	24
Targeted drug delivery during radioembolization in a comprehensive hepatic artery system: A computational study	23
Crank-Nicolson compact difference schemes and their efficient implementations for a class of nonlocal nonlinear parabolic problems	22
A novel algorithm for the stochastic analysis of electric field problems considering material and spatial uncertainties	22
Convergence analysis of the element-free Galerkin method for plate bending problem	20
Editorial Board	19
An Approximation Theorist’s view on solving operator equations—With special attention to Trefftz, MFS, MPS, and DRM methods	19
The MAPS with polynomial basis functions for solving axisymmetric time-fractional equations	19
A staggered discontinuous Galerkin method for elliptic problems on rectangular grids	18
Editorial Board	18
Boundary element analysis of thin structures using a dual transformation method for weakly singular boundary integrals	18
Implementation of the Method of Fundamental Solutions for the correction of parameters of the thermal HM spraying process	18
Positivity preserving temporal second-order spatial fourth-order conservative characteristic methods for convection dominated diffusion equations	18
Decoupled, second-order accurate in time and unconditionally energy stable scheme for a hydrodynamically coupled ternary Cahn-Hilliard phase-field model of triblock copolymer melts	18
Editorial Board	18
The nonconforming locking-free virtual element method for the Biot's consolidation model in poroelasticity	18
Adaptive stabilized finite elements via residual minimization onto bubble enrichments	18
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem	18
Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations	18
A linearly implicit scheme and fast multigrid solver for 3D Fitzhugh-Nagumo equation	17
Editorial Board	17
Editorial Board	17
A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: A priori and a posteriori analysis	17
Isogeometric dual reciprocity BEM for solving time-domain acoustic wave problems	17
Piecewise DMD for oscillatory and Turing spatio-temporal dynamics	17
Second-order rotational velocity correction projection finite element method for unsteady MHD coupled heat equation	16
Conditioning analysis for discrete Helmholtz problems	16
Enriched Virtual Element space on curved meshes with an application in magnetics	16
Automatic coarsening in Algebraic Multigrid utilizing quality measures for matching-based aggregations	16
A boundary integral method to investigate pattern formation in a rotating Hele-Shaw cell with time dependent gap	16
Convergence analysis of an IMEX scheme for an integro-differential equation with inexact boundary arising in option pricing with stochastic intensity jumps	16
Improvement of the genuinely multidimensional ME-AUSMPW scheme for subsonic flows	16
A quasi-optimal test norm for a DPG discretization of the convection-diffusion equation	16
Editorial Board	16
Editorial Board	15
Editorial Board	15
A well-balanced discontinuous Galerkin method for the shallow water flows on erodible bottom	15
Non-smooth solutions of time-fractional Allen–Cahn problems via novel operational matrix based semi-spectral method with convergence analysis	14
Developing and analyzing a finite element method for simulating wave propagation in graphene-based absorber	14
BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions	14

Splitting schemes for coupled differential equations: Block Schur-based approaches & Partial Jacobi approximation	14
Directional enrichment functions for finite element solutions of transient anisotropic diffusion	14
Unconditionally energy stable second-order numerical schemes for the Functionalized Cahn–Hilliard gradient flow equation based on the SAV approach	14
Editorial Board	14
Auxiliary splines space preconditioning for B-splines finite elements: The case of H	14
Editorial Board	14
Galerkin finite block method in solid mechanics	14
Mixed finite elements for convection-coupled phase-change in enthalpy form: Open software verified and applied to 2D benchmarks	14
The method of fundamental solutions for pointwise source reconstruction	13
A monotone diffusion scheme for 3D general meshes: Application to radiation hydrodynamics in the equilibrium diffusion limit	13
Mesoscopic modeling of silver particles melting process on silicon wafer in inkjet-printed solar cell metallization	13
Fractal patterns in fluid flows: A radial basis pseudospectral analysis of CuO-EG water nano, Saffman dusty, and plain Newtonian fluids in immiscible layers of a horizontal channel	13
Numerical analysis of a variational-hemivariational inequality governed by the Stokes equations	13
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes	13
Adaptive quadrature rules for Galerkin BEM	13
Efficient Legendre-Laguerre spectral element methods for problems on unbounded domains with diagonalization technique	13
Fast structure-preserving difference algorithm for 2D nonlinear space-fractional wave models	13
On the Schwarz method for the eddy currents model	13
Unconditionally stable and parallel Discontinuous Galerkin solver	13
A two-parameter shift-splitting preconditioner for saddle point problems	12
Editorial Board	12
Local C interpolations on simplicial grids in any dimension	12
Editorial Board	12
Analysis of the local and parallel space-time algorithm for the heat equation	12
Numerical solutions of an option pricing rainfall weather derivatives model	12
Editorial Board	12
A linearized conservative nonconforming FEM for nonlinear Klein-Gordon-Schrödinger equations	12
Angle dependence in coupling conditions for shallow water equations at channel junctions	12
Two-grid parallel stabilized finite element method based on overlapping domain decomposition for the Stokes problem	12
Surface phase-field surfactant fluid model and its practical closest point type finite difference computation	12
Evaluation of novel wall function approach for supersonic flow problems involving separations induced by geometry and shocks	12
Mesh-free Galerkin approximation for parabolic nonlocal problem using web-splines	12
Diffusion based method for impulse noise removal using residual feedback	12
Editorial Board	12
A pencil distributed direct numerical simulation solver with versatile treatments for viscous term	12
Output tracking for a 1-D wave equation with velocity recirculation via boundary control	11
An equal-order hybridized discontinuous Galerkin method with a small pressure penalty parameter for the Stokes equations	11
Superconvergence of some nonconforming brick elements for the 3D Stokes problem	11
Fully discrete scheme for a time-dependent Ginzburg-Landau equation in macromolecular microsphere composite hydrogels	11
Two-step MPS-MFS ghost point method for solving partial differential equations	11
Parallel matrix-free polynomial preconditioners with application to flow simulations in discrete fracture networks	11
Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers	11
Scalable DPG multigrid solver for Helmholtz problems: A study on convergence	11
A new Poisson-type equation applicable to the three-dimensional non-hydrostatic model in the framework of the discontinuous Galerkin method	11
A partitioned solver for compressible/incompressible fluid flow and light structure	11
Editorial Board	11
Topology modification based rezoning strategies for the arbitrary Lagrangian-Eulerian method on unstructured hexahedral meshes	11
Convergence analysis of a new dynamic diffusion method	11
Editorial Board	11
A finite-volume scheme for gradient-flow equations with non-homogeneous diffusion	11
Adaptive direct discontinuous Galerkin method for elliptic equations	11
Overlapping Additive Schwarz preconditioners for isogeometric collocation discretizations of linear elasticity	11
A stochastic collocation approach for parabolic PDEs with random domain deformations	11
An efficient compact difference-proper orthogonal decomposition algorithm for fractional viscoelastic plate vibration model	11
Editorial Board	11
Meshfree methods for nonlinear equilibrium radiation diffusion equation with jump coefficient	11
Editorial Board	11
Editorial Board	11
A filtered Chebyshev spectral method for conservation laws on network	10
Method of asymptotic partial decomposition with discontinuous junctions	10
Boundary and distributed optimal control for a population dynamics PDE model with discontinuous in time Galerkin FEM schemes	10
Error analysis of second-order IEQ numerical schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation	10
Topology optimization for incompressible viscous fluid flow using the lattice kinetic scheme	10
Preface	10
A two-level additive Schwarz preconditioner for the Nitsche extended finite element approximation of elliptic interface problems	10
Gradient viscoelastic virtual boundary for numerical simulation of wave propagation	10
Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian	10
Boundary integral formulations for acoustic modelling of high-contrast media	10
Towards shape optimisation of fluid flows using lattice Boltzmann methods and automatic differentiation	10
Editorial Board	10
Editorial Board	10
Radial point interpolation collocation method based approximation for 2D fractional equation models	10
On the stabilization of singular identification problem of an unknown discontinuous diffusion parameter in elliptic equation	10
Quality of approximating a mass-emitting object by a point source in a diffusion model	10
Space-time adaptivity for a multi-scale cancer invasion model	10
Unconditionally convergent and superconvergent analysis of second-order weighted IMEX FEMs for nonlinear Ginzburg-Landau equation	10
Analysis of the L1 scheme for fractional wave equations with nonsmooth data	10
A Bayesian level set method for the shape reconstruction of inverse scattering problems in elasticity	10
The polygonal scaled boundary thin plate element based on the discrete Kirchhoff theory	10
Cumulant lattice Boltzmann simulations of turbulent flow above rough surfaces	9

A modified weak Galerkin method for (curl)-elliptic problem	9
A family of three-dimensional virtual elements for Hellinger-Reissner elasticity problems	9
Adaptive sampling points based multi-scale residual network for solving partial differential equations	9
Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems	9
Nonlinear entropy stable Riemann solver with heuristic logarithmic pressure augmentation for supersonic and hypersonic flows	9
Finite element method for the stationary dual-porosity Navier-Stokes system with Beavers-Joseph interface conditions	9
An explicitness-preserving IMEX-split multiderivative method	9
Simulation of processes and structures in the synapse in the context of tetrahedral mesh quality	9
A novel bond-based nonlocal diffusion model with matrix-valued coefficients in non-divergence form and its collocation discretization	9
Superconvergence analysis of a new stabilized nonconforming finite element method for the Stokes equations	9
Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives	9
Contraction operator transformation for the complex heterogeneous Helmholtz equation	9
A mixture model for a dilute dispersion of gas in a liquid flow: Mathematical analysis and application to aluminium electrolysis	9
Nonlinear transient vibration of viscoelastic plates: A NURBS-based isogeometric HSDT approach	9
An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations	9
Anderson acceleration for nonlinear PDEs discretized by space–time spectral methods	9
Editorial Board	9
HomPINNs: Homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations	9
An implicit lattice Boltzmann flux solver for simulation of compressible flows	9
An aggregation-based nonlinear multigrid solver for two-phase flow and transport in porous media	9
Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	9
Deduction of a quadratic velocity field and its application to rolling force of extra-thick plate	9
Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations with staggered ionic models	9
Optimal polynomial feedback laws for finite horizon control problems	9
The macroelement analysis for axisymmetric Stokes equations	9
Editorial Board	8
On augmented finite element formulations for the Navier–Stokes equations with vorticity and variable viscosity	8
Relation between diffusive terms and Riemann solver in WCSPH	8
Finite difference approach for multiscale computations of atomic chain at finite temperature	8
Lowest order stabilization free virtual element method for the 2D Poisson equation	8
Kalman filter and classical Preisach hysteresis model applied to the state of charge battery estimation	8
Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations	8
Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model	8
Approximation of one and two dimensional nonlinear generalized Benjamin-Bona-Mahony Burgers' equation with local fractional derivative	8
A least-squares Fourier frame method for nonlocal diffusion models on arbitrary domains	8
Performance of the radial point interpolation method (RPIM) with implicit time integration scheme for transient wave propagation dynamics	8
Optimal staggered-grid finite-difference method for wave modeling based on artificial neural networks	8
Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect	8
A high-order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for compressible flows in two-dimensional Cartesian and cylindrical coordinates	8
Method of fundamental solutions on simulating sloshing liquids in a 2D tank	8
Pattern dynamics analysis of a time-space discrete FitzHugh-Nagumo (FHN) model based on coupled map lattices	8
Robust and reliable finite element methods in poromechanics	8
A high-order scheme for time-space fractional diffusion equations with Caputo-Riesz derivatives	8
An unconditionally energy stable method for binary incompressible heat conductive fluids based on the phase–field model	8
Analysis of variable-time-step BDF2 combined with the fast two-grid finite element algorithm for the FitzHugh-Nagumo model	8
Improved dynamic analysis for plane elasticity problems with a boundary meshfree method and distributed sources	8
Deep neural networks learning forward and inverse problems of two-dimensional nonlinear wave equations with rational solitons	8
A structure-preserving upwind DG scheme for a degenerate phase-field tumor model	8
A fourth-order compact implicit immersed interface method for 2D Poisson interface problems	8
Direct numerical simulation of homogeneous shear turbulence subject to a shear periodic boundary with the lattice Boltzmann method	8
Determination of a space-dependent source in the thermal-wave model of bio-heat transfer	8
Multiple unequal cracks between a functionally graded piezoelectric layer and a piezoelectric substrate by distributed strain nuclei	8
High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions	8
BEM based semi-analytical approach for accurate evaluation of arithmetic Asian barrier options	8
Stability and error estimates of GPAV-based unconditionally energy-stable scheme for phase field crystal equation	8
Editorial Board	8
A leap-frog finite element method for wave propagation of Maxwell–Schrödinger equations with nonlocal effect in metamaterials	8
Theoretical analysis and numerical scheme of local conservative characteristic finite difference for 2-d advection diffusion equations	8
A reduced-order fast reproducing kernel collocation method for nonlocal models with inhomogeneous volume constraints	8
High-performance computation of pricing two-asset American options under the Merton jump-diffusion model on a GPU	8
A unified analysis of fully mixed virtual element method for wormhole propagation arising in the petroleum engineering	8
Adaptive meshless numerical method of solving 2D variable order time fractional mobile-immobile advection-diffusion equations	8
Application of the 2D diamond scheme to predict the macroscopic thermal conductivity of a three-phase composite with local anisotropy directions	8
A very robust MMALE method based on a novel VoF method for two-dimensional compressible fluid flows	8
A finite-difference time-domain method for Lorentz dispersive media with reduced errors within arbitrary frequency bands	8
Adaptive two-layer ReLU neural network: II. Ritz approximation to elliptic PDEs	8
Editorial Board	7
Numerical analysis and simulation of a quasistatic frictional bilateral contact problem with damage, long-term memory and wear	7
A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting	7
Preconditioned iterative method for nonsymmetric saddle point linear systems	7
An α-robust finite difference method for a time-fractional radially symmetric diffusion problem	7
Mixed virtual element methods for the poro-elastodynamics model on polygonal grids	7
An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture	7
Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media	7
A rational preconditioner for multi-dimensional Riesz fractional diffusion equations	7
Implicit-explicit time integration for the immersed wave equation	7
Numerical analysis of a history-dependent mixed hemivariational-variational inequality in contact problems	7
A gas-surface interaction algorithm for discrete velocity methods in predicting rarefied and multi-scale flows: For Maxwell boundary model	7
Optimized five-by-five block preconditioning for efficient GMRES convergence in curvature-based image deblurring	7
Editorial Board	7
Well-posedness and finite element analysis for the elastic scattering problem with a modified DtN map	7
A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem	7
Equivalent finite difference and partial differential equations for the lattice Boltzmann method	7
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model	7
Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures	7
A hybrid lattice Boltzmann and finite difference method for two-phase flows with soluble surfactants	7
C basis functions on meshes with hanging nodes	7
Spectral collocation method coupled with domain decomposition for exterior problems of the Fisher equation	7
Editorial Board	7
An α-robust and new two-grid nonuniform L2-1 FEM for nonlinear time-fractional diffusion equation	7
A hybrid model for accurate prediction of composite longitudinal elastic modulus	7
Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression	7
A physics-informed learning approach to Bernoulli-type free boundary problems	7
Immersed finite element method for time fractional diffusion problems with discontinuous coefficients	7
Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type	7