Computers & Mathematics With Applications

Article	Citations
Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemes	129
An elementary approach to splittings of unbounded operators	58
Numerical simulation of a non-linear sublimation process with temperature-dependent permeability and volumetric heat source: A phase change problem	55
Numerical analysis and scientific computation with applications, Part II	52
On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations	49
Water flow in shallow aquifers without the Dupuit hypothesis	49
An efficient discontinuous Galerkin method for the hydro-dynamically coupled phase-field vesicle membrane model	48
Inf-sup stabilized Scott–Vogelius pairs on general shape-regular simplicial grids for Navier–Stokes equations	47
A staggered discontinuous Galerkin method for solving S transport equation on arbitrary polygonal grids	46
On the use of exponential basis functions in the PINN architecture: An enhanced solution approach for the Laplace, Helmholtz, and elasto-static equations	45
Analysis on the force evaluation by the momentum exchange method and a localized refilling scheme for the lattice Boltzmann method	42
Accelerating simulations of turbulent flows over waves leveraging GPU parallelization	42
On nonlinear magnetic field solvers using local Quasi-Newton updates	40
Implementation of Legendre wavelet method for the size dependent bending analysis of nano beam resonator under nonlocal strain gradient theory	39
A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems	39
Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian	37
An implicit GNN solver for Poisson-like problems	36
Editorial Board	35
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An aggregation-based nonlinear multigrid solver for two-phase flow and transport in porous media	32
Analysis of free vibration in thin-walled plates using an enhanced polygonal plate element with selective interpolation approach	31
Analysis of variable-time-step BDF2 combined with the fast two-grid finite element algorithm for the FitzHugh-Nagumo model	31
Editorial Board	31
A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences	31
Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect	30

Determination of a space-dependent source in the thermal-wave model of bio-heat transfer	30
A finite-difference time-domain method for Lorentz dispersive media with reduced errors within arbitrary frequency bands	30
Exponential stability of Timoshenko beams with three-phase-lag thermoelasticity	29
Optimal investigation of the reheating furnace based on a 3D numerical model with the formation of both oxide scale layer and skid marks	29
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Solving boundary value problems via the Nyström method using spline Gauss rules	28
Editorial Board	27
A novel algorithm for the stochastic analysis of electric field problems considering material and spatial uncertainties	27
Targeted drug delivery during radioembolization in a comprehensive hepatic artery system: A computational study	27
Crank-Nicolson compact difference schemes and their efficient implementations for a class of nonlocal nonlinear parabolic problems	24
An Approximation Theorist’s view on solving operator equations—With special attention to Trefftz, MFS, MPS, and DRM methods	23
Implementation of the Method of Fundamental Solutions for the correction of parameters of the thermal HM spraying process	22
Editorial Board	22
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Adaptive stabilized finite elements via residual minimization onto bubble enrichments	22
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem	21
Editorial Board	21
Editorial Board	21
Boundary element analysis of thin structures using a dual transformation method for weakly singular boundary integrals	21
A linearly implicit scheme and fast multigrid solver for 3D Fitzhugh-Nagumo equation	21
Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations	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
Conditioning analysis for discrete Helmholtz problems	20
A quasi-optimal test norm for a DPG discretization of the convection-diffusion equation	20
Editorial Board	19
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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	18
BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions	18
Editorial Board	18
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes	18
On the Schwarz method for the eddy currents model	18
Directional enrichment functions for finite element solutions of transient anisotropic diffusion	18
Splitting schemes for coupled differential equations: Block Schur-based approaches & Partial Jacobi approximation	18
Unconditionally stable and parallel Discontinuous Galerkin solver	18
Mesoscopic modeling of silver particles melting process on silicon wafer in inkjet-printed solar cell metallization	18
Developing and analyzing a finite element method for simulating wave propagation in graphene-based absorber	18
Editorial Board	18
Adaptive quadrature rules for Galerkin BEM	17
The method of fundamental solutions for pointwise source reconstruction	17
A monotone diffusion scheme for 3D general meshes: Application to radiation hydrodynamics in the equilibrium diffusion limit	17
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Numerical analysis of a variational-hemivariational inequality governed by the Stokes equations	17
Fast structure-preserving difference algorithm for 2D nonlinear space-fractional wave models	17
Editorial Board	16
Diffusion based method for impulse noise removal using residual feedback	16
Editorial Board	16
Editorial Board	16

Two-grid parallel stabilized finite element method based on overlapping domain decomposition for the Stokes problem	16
Superconvergence of some nonconforming brick elements for the 3D Stokes problem	16
Editorial Board	16
Editorial Board	16
Analysis of the local and parallel space-time algorithm for the heat equation	16
Fully discrete scheme for a time-dependent Ginzburg-Landau equation in macromolecular microsphere composite hydrogels	16
A partitioned solver for compressible/incompressible fluid flow and light structure	16
Parallel matrix-free polynomial preconditioners with application to flow simulations in discrete fracture networks	15
Editorial Board	15
Preface	15
A new Poisson-type equation applicable to the three-dimensional non-hydrostatic model in the framework of the discontinuous Galerkin method	15
Editorial Board	15
Convergence analysis of a new dynamic diffusion method	15
Gradient viscoelastic virtual boundary for numerical simulation of wave propagation	15
Topology modification based rezoning strategies for the arbitrary Lagrangian-Eulerian method on unstructured hexahedral meshes	15
Topology optimization for incompressible viscous fluid flow using the lattice kinetic scheme	15
Editorial Board	15
On the stabilization of singular identification problem of an unknown discontinuous diffusion parameter in elliptic equation	15
Editorial Board	14
Singular layer physics informed neural network method for plane parallel flows	14
Conforming finite element function spaces in four dimensions, part I: Foundational principles and the tesseract	14
Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	14
A velocity-based moving mesh virtual element method	14
Editorial Board	14
Adaptive sampling points based multi-scale residual network for solving partial differential equations	14
Spectral approximation based on a mixed scheme and its error estimates for transmission eigenvalue problems	13
An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations	13
Analysis and numerical approximation of a mathematical model for Aedes aegypti populations	13
Quasi-Newton iterative solution approaches for nonsmooth elliptic operators with applications to elasto-plasticity	13
Simulation of processes and structures in the synapse in the context of tetrahedral mesh quality	13
Understanding avascular tumor growth and drug interactions through numerical analysis: A finite element method approach	13
An extended physics informed neural network for preliminary analysis of parametric optimal control problems	13
Finite element method for the stationary dual-porosity Navier-Stokes system with Beavers-Joseph interface conditions	13
Anderson acceleration for nonlinear PDEs discretized by space–time spectral methods	13
Optimal polynomial feedback laws for finite horizon control problems	13
Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations with staggered ionic models	13
Fractional-order dependent Radial basis functions meshless methods for the integral fractional Laplacian	13
Preconditioned iterative method for nonsymmetric saddle point linear systems	12
Development and validation of a phase-field lattice Boltzmann method for non-Newtonian Herschel-Bulkley fluids in three dimensions	12
Well-posedness and finite element analysis for the elastic scattering problem with a modified DtN map	12
Two-step MPS-MFS ghost point method for solving partial differential equations	12
Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives	12
Editorial Board	12
Application of the 2D diamond scheme to predict the macroscopic thermal conductivity of a three-phase composite with local anisotropy directions	12
Finite difference approach for multiscale computations of atomic chain at finite temperature	12
Stability and error estimates of GPAV-based unconditionally energy-stable scheme for phase field crystal equation	12
Towards shape optimisation of fluid flows using lattice Boltzmann methods and automatic differentiation	12
Sixth order compact finite difference schemes for Poisson interface problems with singular sources	12
The simplified weak Galerkin method with θ scheme and its reduced-order model for the elastodynamic problem on polygonal mesh	12
Optimal staggered-grid finite-difference method for wave modeling based on artificial neural networks	12
A unified analysis of fully mixed virtual element method for wormhole propagation arising in the petroleum engineering	12
Kalman filter and classical Preisach hysteresis model applied to the state of charge battery estimation	12
Improved dynamic analysis for plane elasticity problems with a boundary meshfree method and distributed sources	12
High-order gas-kinetic scheme with TENO class reconstruction for the Euler and Navier-Stokes equations	12
An Lp	12
Adaptive direct discontinuous Galerkin method for elliptic equations	12
Direct numerical simulation of homogeneous shear turbulence subject to a shear periodic boundary with the lattice Boltzmann method	12
Robust and reliable finite element methods in poromechanics	12
Approximation of one and two dimensional nonlinear generalized Benjamin-Bona-Mahony Burgers' equation with local fractional derivative	12
Editorial Board	12
A leap-frog finite element method for wave propagation of Maxwell–Schrödinger equations with nonlocal effect in metamaterials	11
Finite difference/generalized Hermite spectral method for the distributed-order time-fractional reaction-diffusion equation on multi-dimensional unbounded domains	11
Analysis of the L1 scheme for fractional wave equations with nonsmooth data	11
A Bayesian level set method for the shape reconstruction of inverse scattering problems in elasticity	11
Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures	11
Convergence analysis of the element-free Galerkin method for plate bending problem	11
A non-uniform magnetic field coupled lattice Boltzmann model and its application on the wetting dynamics of a ferrofluid droplet under gravity effects	11
Cumulant lattice Boltzmann simulations of turbulent flow above rough surfaces	11
A finite-volume scheme for gradient-flow equations with non-homogeneous diffusion	11
Overlapping Additive Schwarz preconditioners for isogeometric collocation discretizations of linear elasticity	11
Equivalent finite difference and partial differential equations for the lattice Boltzmann method	11
Radial point interpolation collocation method based approximation for 2D fractional equation models	11
HomPINNs: Homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations	11
Semi-monolithic formulation based on a projection method for simulating fluid–structure interaction problems	11
Improvement of the genuinely multidimensional ME-AUSMPW scheme for subsonic flows	11
An equal-order hybridized discontinuous Galerkin method with a small pressure penalty parameter for the Stokes equations	11
High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions	11
A stochastic collocation approach for parabolic PDEs with random domain deformations	11
The polygonal scaled boundary thin plate element based on the discrete Kirchhoff theory	11
A staggered discontinuous Galerkin method for elliptic problems on rectangular grids	11

A simple proof of coerciveness of first-order system least-squares methods for general second-order elliptic PDEs	11
Nonlinear entropy stable Riemann solver with heuristic logarithmic pressure augmentation for supersonic and hypersonic flows	11
Quantification of various reduced order modelling computational methods to study deflection of size-dependent plates	10
Space-time adaptivity for a multi-scale cancer invasion model	10
Automatic coarsening in Algebraic Multigrid utilizing quality measures for matching-based aggregations	10
An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture	10
Local C interpolations on simplicial grids in any dimension	10
Numerical solutions of an option pricing rainfall weather derivatives model	10
A posteriori error estimate for a modified weak Galerkin method of 2D (curl) elliptic problems	10
Scalable DPG multigrid solver for Helmholtz problems: A study on convergence	10
A stabilizer-free weak Galerkin finite element method with Alikhanov formula on nonuniform mesh for a linear reaction-subdiffusion problem	10
Galerkin finite block method in solid mechanics	10
The MAPS with polynomial basis functions for solving axisymmetric time-fractional equations	10
A family of three-dimensional virtual elements for Hellinger-Reissner elasticity problems	10
A two-level additive Schwarz preconditioner for the Nitsche extended finite element approximation of elliptic interface problems	10
A polygonal finite volume element method for anisotropic diffusion problems	10
The nonconforming locking-free virtual element method for the Biot's consolidation model in poroelasticity	10
A phase-field-based multiple-relaxation-time lattice Boltzmann method for incompressible multiphase flows with density and viscosity contrasts	10
An efficient compact difference-proper orthogonal decomposition algorithm for fractional viscoelastic plate vibration model	10
Method of fundamental solutions on simulating sloshing liquids in a 2D tank	10
Output tracking for a 1-D wave equation with velocity recirculation via boundary control	10
Error analysis of second-order IEQ numerical schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation	9
Pattern dynamics analysis of a time-space discrete FitzHugh-Nagumo (FHN) model based on coupled map lattices	9
A novel bond-based nonlocal diffusion model with matrix-valued coefficients in non-divergence form and its collocation discretization	9
Deep neural networks learning forward and inverse problems of two-dimensional nonlinear wave equations with rational solitons	9
Optimized five-by-five block preconditioning for efficient GMRES convergence in curvature-based image deblurring	9
High-order compact difference schemes on wide computational stencils with a spectral-like accuracy	9
An implicit lattice Boltzmann flux solver for simulation of compressible flows	9
Method of asymptotic partial decomposition with discontinuous junctions	9
A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: A priori and a posteriori analysis	9
Relation between diffusive terms and Riemann solver in WCSPH	9
Implicit-explicit time integration for the immersed wave equation	9
Piecewise DMD for oscillatory and Turing spatio-temporal dynamics	9
A structure-preserving upwind DG scheme for a degenerate phase-field tumor model	9
Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model	9
Adaptive total variational regularization of Gaussian denoisers for multiplicative noise removal	9
A linearized conservative nonconforming FEM for nonlinear Klein-Gordon-Schrödinger equations	9
A pencil distributed direct numerical simulation solver with versatile treatments for viscous term	9
Deduction of a quadratic velocity field and its application to rolling force of extra-thick plate	9
Non intrusive reduced order modeling of parametrized PDEs by kernel POD and neural networks	9
Superconvergence analysis of a new stabilized nonconforming finite element method for the Stokes equations	9
C basis functions on meshes with hanging nodes	9
Non-smooth solutions of time-fractional Allen–Cahn problems via novel operational matrix based semi-spectral method with convergence analysis	9
Efficient Legendre-Laguerre spectral element methods for problems on unbounded domains with diagonalization technique	9
Auxiliary splines space preconditioning for B-splines finite elements: The case of H	9
Superconvergence analysis of finite element approximations to Maxwell's equations in both metamaterials and PMLs	9
A well-balanced discontinuous Galerkin method for the shallow water flows on erodible bottom	9
Boundary integral formulations for acoustic modelling of high-contrast media	9
A boundary integral method to investigate pattern formation in a rotating Hele-Shaw cell with time dependent gap	9
High-performance computation of pricing two-asset American options under the Merton jump-diffusion model on a GPU	9
A high-order arbitrary Lagrangian-Eulerian discontinuous Galerkin method for compressible flows in two-dimensional Cartesian and cylindrical coordinates	9
An explicitness-preserving IMEX-split multiderivative method	9
Boundary and distributed optimal control for a population dynamics PDE model with discontinuous in time Galerkin FEM schemes	9
A fourth-order compact implicit immersed interface method for 2D Poisson interface problems	8
Lowest order stabilization free virtual element method for the 2D Poisson equation	8
A rational preconditioner for multi-dimensional Riesz fractional diffusion equations	8
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model	8
Highly efficient time-marching method with enhanced energy consistency for the L2-gradient flow based two-phase incompressible fluid system	8
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem	8
A three-dimensional Petrov-Galerkin finite element interface method for solving inhomogeneous anisotropic Maxwell's equations in irregular regions	8
Singular boundary method for 2D and 3D acoustic design sensitivity analysis	8
A least-squares Fourier frame method for nonlocal diffusion models on arbitrary domains	8
An efficient MMOCAA-DDM for solving advection diffusion equations	8
PI-type fully symmetric quadrature rules on the 3-, …, 6-simplexes	8
A two-level multiphysics finite element method for a nonlinear poroelasticity model	8
Numerical analysis and simulation of a quasistatic frictional bilateral contact problem with damage, long-term memory and wear	8
Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation	8
Angle dependence in coupling conditions for shallow water equations at channel junctions	8
Mixed virtual element methods for the poro-elastodynamics model on polygonal grids	8
Spectral collocation method coupled with domain decomposition for exterior problems of the Fisher equation	8
Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media	8
Numerical analysis of locally conservative weak Galerkin dual-mixed finite element method for the time-dependent Poisson–Nernst–Planck system	8
Response and EPSD of rotor-blade nonlinear system with non-stationary non-Gaussian stochastic excitation via PGHW method	8
Isogeometric dual reciprocity BEM for solving time-domain acoustic wave problems	8
Application of machine learning regression models to inverse eigenvalue problems	8
A staggered discontinuous Galerkin method for the Stokes problem on rectangular meshes	8
Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model	8
A reduced-order fast reproducing kernel collocation method for nonlocal models with inhomogeneous volume constraints	8
Efficient and accurate numerical methods for nonlinear strongly damped wave equation in 2+1 dimensions	8
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	8
Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: A phase-wise approach	8
Theoretical analysis and numerical scheme of local conservative characteristic finite difference for 2-d advection diffusion equations	8
Thermogravitational magnetonanofluid flow in a square cavity with isotropic heat flow field and viscous dissipation: A compact approach	8
Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type	8
A physics-informed learning approach to Bernoulli-type free boundary problems	8
Numerical pricing based on fractional Black–Scholes equation with time-dependent parameters under the CEV model: Double barrier options	8
Immersed finite element method for time fractional diffusion problems with discontinuous coefficients	8
BEM based semi-analytical approach for accurate evaluation of arithmetic Asian barrier options	8
The mechanism analysis of the oscillatory flow of Oldroyd-B fluid in a tube with a right triangular cross-section	8
A two-parameter shift-splitting preconditioner for saddle point problems	8
An efficient computational framework for data assimilation of fractional-order dynamical system with sparse observations	8
A modified weak Galerkin method for (curl)-elliptic problem	8
Mixed variational formulations of virtual elements for the polyharmonic operator (−Δ)	8
Adaptive meshless numerical method of solving 2D variable order time fractional mobile-immobile advection-diffusion equations	8
Evaluation of novel wall function approach for supersonic flow problems involving separations induced by geometry and shocks	8