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	55
Water flow in shallow aquifers without the Dupuit hypothesis	52
On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations	48
Numerical analysis and scientific computation with applications, Part II	47
Inf-sup stabilized Scott–Vogelius pairs on general shape-regular simplicial grids for Navier–Stokes equations	47
An elementary approach to splittings of unbounded operators	45
Numerical simulation of a non-linear sublimation process with temperature-dependent permeability and volumetric heat source: A phase change problem	42
Editorial Board	42
An implicit GNN solver for Poisson-like problems	40
Analysis of free vibration in thin-walled plates using an enhanced polygonal plate element with selective interpolation approach	39
A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences	38
Analysis of variable-time-step BDF2 combined with the fast two-grid finite element algorithm for the FitzHugh-Nagumo model	38
Adaptive two-layer ReLU neural network: II. Ritz approximation to elliptic PDEs	37
Multiple unequal cracks between a functionally graded piezoelectric layer and a piezoelectric substrate by distributed strain nuclei	37
Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect	35
A finite-difference time-domain method for Lorentz dispersive media with reduced errors within arbitrary frequency bands	34
A deep learning algorithm to accelerate algebraic multigrid methods in finite element solvers of 3D elliptic PDEs	32
Determination of a space-dependent source in the thermal-wave model of bio-heat transfer	32
Optimal investigation of the reheating furnace based on a 3D numerical model with the formation of both oxide scale layer and skid marks	31
Exponential stability of Timoshenko beams with three-phase-lag thermoelasticity	31
Solving boundary value problems via the Nyström method using spline Gauss rules	30
Editorial Board	30
Editorial Board	29
Crank-Nicolson compact difference schemes and their efficient implementations for a class of nonlocal nonlinear parabolic problems	29

Targeted drug delivery during radioembolization in a comprehensive hepatic artery system: A computational study	29
Editorial Board	29
A novel algorithm for the stochastic analysis of electric field problems considering material and spatial uncertainties	29
An Approximation Theorist’s view on solving operator equations—With special attention to Trefftz, MFS, MPS, and DRM methods	28
Editorial Board	27
Editorial Board	27
Adaptive stabilized finite elements via residual minimization onto bubble enrichments	27
Implementation of the Method of Fundamental Solutions for the correction of parameters of the thermal HM spraying process	27
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem	26
Editorial Board	24
Boundary element analysis of thin structures using a dual transformation method for weakly singular boundary integrals	24
Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations	23
Editorial Board	22
A linearly implicit scheme and fast multigrid solver for 3D Fitzhugh-Nagumo equation	22
A quasi-optimal test norm for a DPG discretization of the convection-diffusion equation	21
Editorial Board	21
Convergence analysis of an IMEX scheme for an integro-differential equation with inexact boundary arising in option pricing with stochastic intensity jumps	20
Second-order rotational velocity correction projection finite element method for unsteady MHD coupled heat equation	20
Conditioning analysis for discrete Helmholtz problems	20
Enriched Virtual Element space on curved meshes with an application in magnetics	20
Editorial Board	19
Directional enrichment functions for finite element solutions of transient anisotropic diffusion	19
Editorial Board	19
Splitting schemes for coupled differential equations: Block Schur-based approaches & Partial Jacobi approximation	19
Editorial Board	19
Editorial Board	18
Developing and analyzing a finite element method for simulating wave propagation in graphene-based absorber	18
Mesoscopic modeling of silver particles melting process on silicon wafer in inkjet-printed solar cell metallization	18
Editorial Board	18
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes	18
BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions	18
On the Schwarz method for the eddy currents model	17
A monotone diffusion scheme for 3D general meshes: Application to radiation hydrodynamics in the equilibrium diffusion limit	17
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	17
Adaptive quadrature rules for Galerkin BEM	17
Unconditionally stable and parallel Discontinuous Galerkin solver	17
Fast structure-preserving difference algorithm for 2D nonlinear space-fractional wave models	16
Editorial Board	16
Diffusion based method for impulse noise removal using residual feedback	16
The method of fundamental solutions for pointwise source reconstruction	16
Editorial Board	16
Surface phase-field surfactant fluid model and its practical closest point type finite difference computation	16
Numerical analysis of a variational-hemivariational inequality governed by the Stokes equations	16
Editorial Board	16
Editorial Board	16
Two-grid parallel stabilized finite element method based on overlapping domain decomposition for the Stokes problem	15
Superconvergence of some nonconforming brick elements for the 3D Stokes problem	15
Editorial Board	15
Parallel matrix-free polynomial preconditioners with application to flow simulations in discrete fracture networks	15
Analysis of the local and parallel space-time algorithm for the heat equation	15

Fully discrete scheme for a time-dependent Ginzburg-Landau equation in macromolecular microsphere composite hydrogels	15
A new Poisson-type equation applicable to the three-dimensional non-hydrostatic model in the framework of the discontinuous Galerkin method	15
A partitioned solver for compressible/incompressible fluid flow and light structure	15
Editorial Board	15
Topology modification based rezoning strategies for the arbitrary Lagrangian-Eulerian method on unstructured hexahedral meshes	15
A filtered Chebyshev spectral method for conservation laws on network	14
Preface	14
Editorial Board	14
Editorial Board	14
Topology optimization for incompressible viscous fluid flow using the lattice kinetic scheme	14
Quality of approximating a mass-emitting object by a point source in a diffusion model	14
Meshfree methods for nonlinear equilibrium radiation diffusion equation with jump coefficient	14
Editorial Board	14
On the stabilization of singular identification problem of an unknown discontinuous diffusion parameter in elliptic equation	14
Gradient viscoelastic virtual boundary for numerical simulation of wave propagation	14
Editorial Board	14
Convergence analysis of a new dynamic diffusion method	14
An aggregation-based nonlinear multigrid solver for two-phase flow and transport in porous media	13
Conforming finite element function spaces in four dimensions, part I: Foundational principles and the tesseract	13
A physics-informed learning approach to Bernoulli-type free boundary problems	13
Editorial Board	13
Editorial Board	13
Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media	13
Singular layer physics informed neural network method for plane parallel flows	13
Editorial Board	13
An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations	12
Optimal polynomial feedback laws for finite horizon control problems	12
Application of the 2D diamond scheme to predict the macroscopic thermal conductivity of a three-phase composite with local anisotropy directions	12
Editorial Board	12
A mixture model for a dilute dispersion of gas in a liquid flow: Mathematical analysis and application to aluminium electrolysis	12
Adaptive sampling points based multi-scale residual network for solving partial differential equations	12
Simulation of processes and structures in the synapse in the context of tetrahedral mesh quality	12
Anderson acceleration for nonlinear PDEs discretized by space–time spectral methods	12
Approximation of one and two dimensional nonlinear generalized Benjamin-Bona-Mahony Burgers' equation with local fractional derivative	12
Improved dynamic analysis for plane elasticity problems with a boundary meshfree method and distributed sources	12
Robust and reliable finite element methods in poromechanics	12
Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives	12
Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	12
Finite element method for the stationary dual-porosity Navier-Stokes system with Beavers-Joseph interface conditions	12
A unified analysis of fully mixed virtual element method for wormhole propagation arising in the petroleum engineering	12
Editorial Board	12
Direct numerical simulation of homogeneous shear turbulence subject to a shear periodic boundary with the lattice Boltzmann method	12
Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations with staggered ionic models	12
Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems	12
A two-level additive Schwarz preconditioner for the Nitsche extended finite element approximation of elliptic interface problems	11
On augmented finite element formulations for the Navier–Stokes equations with vorticity and variable viscosity	11
Output tracking for a 1-D wave equation with velocity recirculation via boundary control	11
Stability and error estimates of GPAV-based unconditionally energy-stable scheme for phase field crystal equation	11
Galerkin finite block method in solid mechanics	11
A family of three-dimensional virtual elements for Hellinger-Reissner elasticity problems	11
A structure-preserving upwind DG scheme for a degenerate phase-field tumor model	11
A velocity-based moving mesh virtual element method	11
Unconditionally convergent and superconvergent analysis of second-order weighted IMEX FEMs for nonlinear Ginzburg-Landau equation	11
A high-order scheme for time-space fractional diffusion equations with Caputo-Riesz derivatives	11
Performance of the radial point interpolation method (RPIM) with implicit time integration scheme for transient wave propagation dynamics	11
An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture	11
Variable separated physics-informed neural networks based on adaptive weighted loss functions for blood flow model	11
Numerical solutions of an option pricing rainfall weather derivatives model	11
Local C interpolations on simplicial grids in any dimension	11
The MAPS with polynomial basis functions for solving axisymmetric time-fractional equations	11
A stabilizer-free weak Galerkin finite element method with Alikhanov formula on nonuniform mesh for a linear reaction-subdiffusion problem	11
Automatic coarsening in Algebraic Multigrid utilizing quality measures for matching-based aggregations	11
Finite difference approach for multiscale computations of atomic chain at finite temperature	11
Kalman filter and classical Preisach hysteresis model applied to the state of charge battery estimation	11
Deep neural networks learning forward and inverse problems of two-dimensional nonlinear wave equations with rational solitons	11
Auxiliary splines space preconditioning for B-splines finite elements: The case of H	11
Method of fundamental solutions on simulating sloshing liquids in a 2D tank	11
An efficient compact difference-proper orthogonal decomposition algorithm for fractional viscoelastic plate vibration model	11
Superconvergence analysis of finite element approximations to Maxwell's equations in both metamaterials and PMLs	10
Error analysis of second-order IEQ numerical schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation	10
Piecewise DMD for oscillatory and Turing spatio-temporal dynamics	10
A very robust MMALE method based on a novel VoF method for two-dimensional compressible fluid flows	10
Relation between diffusive terms and Riemann solver in WCSPH	10
Superconvergence analysis of a new stabilized nonconforming finite element method for the Stokes equations	10
A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting	10
Pattern dynamics analysis of a time-space discrete FitzHugh-Nagumo (FHN) model based on coupled map lattices	10
Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model	10
Boundary and distributed optimal control for a population dynamics PDE model with discontinuous in time Galerkin FEM schemes	10
An optimisation–based domain–decomposition reduced order model for parameter–dependent non–stationary fluid dynamics problems	10
A novel bond-based nonlocal diffusion model with matrix-valued coefficients in non-divergence form and its collocation discretization	10

Implicit-explicit time integration for the immersed wave equation	10
Efficient Legendre-Laguerre spectral element methods for problems on unbounded domains with diagonalization technique	10
Non-smooth solutions of time-fractional Allen–Cahn problems via novel operational matrix based semi-spectral method with convergence analysis	10
C basis functions on meshes with hanging nodes	10
A novel and simple spectral method for nonlocal PDEs with the fractional Laplacian	10
Optimized five-by-five block preconditioning for efficient GMRES convergence in curvature-based image deblurring	9
Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains	9
BEM based semi-analytical approach for accurate evaluation of arithmetic Asian barrier options	9
Well-posedness and finite element analysis for the elastic scattering problem with a modified DtN map	9
The Hermite-type virtual element method for second order problem	9
The simplified weak Galerkin method with θ scheme and its reduced-order model for the elastodynamic problem on polygonal mesh	9
Finite element method for an optimal control problem governed by a time fractional wave equation	9
A least-squares Fourier frame method for nonlocal diffusion models on arbitrary domains	9
Numerical analysis of a history-dependent mixed hemivariational-variational inequality in contact problems	9
An efficient computational framework for data assimilation of fractional-order dynamical system with sparse observations	9
Mixed virtual element methods for the poro-elastodynamics model on polygonal grids	9
Contraction operator transformation for the complex heterogeneous Helmholtz equation	9
Isogeometric dual reciprocity BEM for solving time-domain acoustic wave problems	9
Development and validation of a phase-field lattice Boltzmann method for non-Newtonian Herschel-Bulkley fluids in three dimensions	9
A high-order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for compressible flows in two-dimensional Cartesian and cylindrical coordinates	9
Numerical analysis and simulation of a quasistatic frictional bilateral contact problem with damage, long-term memory and wear	9
Adaptive total variational regularization of Gaussian denoisers for multiplicative noise removal	9
An Lp	9
Lowest order stabilization free virtual element method for the 2D Poisson equation	9
The mechanism analysis of the oscillatory flow of Oldroyd-B fluid in a tube with a right triangular cross-section	9
Theoretical analysis and numerical scheme of local conservative characteristic finite difference for 2-d advection diffusion equations	9
High-order gas-kinetic scheme with TENO class reconstruction for the Euler and Navier-Stokes equations	9
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem	9
Analysis of the L1 scheme for fractional wave equations with nonsmooth data	9
A staggered discontinuous Galerkin method for the Stokes problem on rectangular meshes	9
Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model	9
Spectral collocation method coupled with domain decomposition for exterior problems of the Fisher equation	9
The polygonal scaled boundary thin plate element based on the discrete Kirchhoff theory	8
A pencil distributed direct numerical simulation solver with versatile treatments for viscous term	8
A stochastic collocation approach for parabolic PDEs with random domain deformations	8
Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian	8
High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions	8
The macroelement analysis for axisymmetric Stokes equations	8
Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation	8
A two-level multiphysics finite element method for a nonlinear poroelasticity model	8
A reduced-order fast reproducing kernel collocation method for nonlocal models with inhomogeneous volume constraints	8
Two-step MPS-MFS ghost point method for solving partial differential equations	8
Evaluation of novel wall function approach for supersonic flow problems involving separations induced by geometry and shocks	8
Preconditioned iterative method for nonsymmetric saddle point linear systems	8
A linearized conservative nonconforming FEM for nonlinear Klein-Gordon-Schrödinger equations	8
Non intrusive reduced order modeling of parametrized PDEs by kernel POD and neural networks	8
Singular boundary method for 2D and 3D acoustic design sensitivity analysis	8
Radial point interpolation collocation method based approximation for 2D fractional equation models	8
Boundary integral formulations for acoustic modelling of high-contrast media	8
A Bayesian level set method for the shape reconstruction of inverse scattering problems in elasticity	8
A boundary integral method to investigate pattern formation in a rotating Hele-Shaw cell with time dependent gap	8
An equal-order hybridized discontinuous Galerkin method with a small pressure penalty parameter for the Stokes equations	8
Equivalent finite difference and partial differential equations for the lattice Boltzmann method	8
Improvement of the genuinely multidimensional ME-AUSMPW scheme for subsonic flows	8
Deduction of a quadratic velocity field and its application to rolling force of extra-thick plate	8
Adaptive meshless numerical method of solving 2D variable order time fractional mobile-immobile advection-diffusion equations	8
Adaptive direct discontinuous Galerkin method for elliptic equations	8
An efficient MMOCAA-DDM for solving advection diffusion equations	8
High performance computing of stiff bubble collapse on CPU-GPU heterogeneous platform	8
An open-source framework for coupling non-matching isogeometric shells with application to aerospace structures	8
An explicitness-preserving IMEX-split multiderivative method	8
A fourth-order compact implicit immersed interface method for 2D Poisson interface problems	8
An α-robust finite difference method for a time-fractional radially symmetric diffusion problem	8
A well-balanced discontinuous Galerkin method for the shallow water flows on erodible bottom	8
A leap-frog finite element method for wave propagation of Maxwell–Schrödinger equations with nonlocal effect in metamaterials	8
High-order compact difference schemes on wide computational stencils with a spectral-like accuracy	8
Cumulant lattice Boltzmann simulations of turbulent flow above rough surfaces	8
A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: A priori and a posteriori analysis	8
A finite-volume scheme for gradient-flow equations with non-homogeneous diffusion	8
Overlapping Additive Schwarz preconditioners for isogeometric collocation discretizations of linear elasticity	8
Method of asymptotic partial decomposition with discontinuous junctions	8
High-performance computation of pricing two-asset American options under the Merton jump-diffusion model on a GPU	8
A two-parameter shift-splitting preconditioner for saddle point problems	8
Sixth order compact finite difference schemes for Poisson interface problems with singular sources	8
Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: A phase-wise approach	8
A staggered discontinuous Galerkin method for elliptic problems on rectangular grids	8
Angle dependence in coupling conditions for shallow water equations at channel junctions	8
Towards shape optimisation of fluid flows using lattice Boltzmann methods and automatic differentiation	8
An unconditionally energy stable method for binary incompressible heat conductive fluids based on the phase–field model	8
Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures	8
An implicit lattice Boltzmann flux solver for simulation of compressible flows	8
Application of machine learning regression models to inverse eigenvalue problems	7
Numerical pricing based on fractional Black–Scholes equation with time-dependent parameters under the CEV model: Double barrier options	7
A three-dimensional Petrov-Galerkin finite element interface method for solving inhomogeneous anisotropic Maxwell's equations in irregular regions	7
A rational preconditioner for multi-dimensional Riesz fractional diffusion equations	7
A hybrid lattice Boltzmann and finite difference method for two-phase flows with soluble surfactants	7
Response and EPSD of rotor-blade nonlinear system with non-stationary non-Gaussian stochastic excitation via PGHW method	7
Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson–Nernst–Planck system	7
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model	7
Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type	7
An α-robust and new two-grid nonuniform L2-1 FEM for nonlinear time-fractional diffusion equation	7
Highly efficient time-marching method with enhanced energy consistency for the L2-gradient flow based two-phase incompressible fluid system	7
A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem	7
Immersed finite element method for time fractional diffusion problems with discontinuous coefficients	7
Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression	7