Computers & Mathematics With Applications

Article	Citations
Editorial Board	148
Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemes	96
A two-level multiphysics finite element method for a nonlinear poroelasticity model	81
Unconditionally stable and parallel Discontinuous Galerkin solver	70
A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: A priori and a posteriori analysis	70
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model	67
Editorial Board	63
An implicit lattice Boltzmann flux solver for simulation of compressible flows	56
Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type	53
BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions	52
Fully discrete scheme for a time-dependent Ginzburg-Landau equation in macromolecular microsphere composite hydrogels	48
A boundary integral method to investigate pattern formation in a rotating Hele-Shaw cell with time dependent gap	47
Evaluation of novel wall function approach for supersonic flow problems involving separations induced by geometry and shocks	46
A phase-field-based multiple-relaxation-time lattice Boltzmann method for incompressible multiphase flows with density and viscosity contrasts	43
Mixed virtual element methods for the poro-elastodynamics model on polygonal grids	39
Editorial Board	37
Optimal staggered-grid finite-difference method for wave modeling based on artificial neural networks	35
An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations	35
Editorial Board	35
A vectorial envelope Maxwell formulation for electromagnetic waveguides with application to nonlinear fiber optics	34
Positivity-preserving DDFV scheme for compressible two-phase flow in porous media	34
Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation	33
A two-parameter shift-splitting preconditioner for saddle point problems	32
A decoupled, convergent and fully linear algorithm for the Landau–Lifshitz–Gilbert equation with magnetoelastic effects	30
A unified spectral-geometric model of FGM double conical/cylindrical/spherical shell coupled with annular plates	30

Theoretical analysis and numerical scheme of local conservative characteristic finite difference for 2-d advection diffusion equations	29
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes	29
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem	29
Adaptive total variational regularization of Gaussian denoisers for multiplicative noise removal	29
A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting	28
Numerical solutions of an option pricing rainfall weather derivatives model	28
Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect	27
A novel Hermite spectral element method for elliptic interface eigenvalue problems	27
A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates	26
Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	25
Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations	25
A mixed finite element method for pricing American options and Greeks in the Heston model	25
Directional enrichment functions for finite element solutions of transient anisotropic diffusion	25
Optimal investigation of the reheating furnace based on a 3D numerical model with the formation of both oxide scale layer and skid marks	25
Editorial Board	24
An efficient computational framework for data assimilation of fractional-order dynamical system with sparse observations	24
An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture	24
Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model	24
Boundary integral formulations for acoustic modelling of high-contrast media	23
Numerical simulation of a non-linear sublimation process with temperature-dependent permeability and volumetric heat source: A phase change problem	23
Adaptive stabilized finite elements via residual minimization onto bubble enrichments	23
Variable separated physics-informed neural networks based on adaptive weighted loss functions for blood flow model	23
Editorial Board	23
A non-uniform magnetic field coupled lattice Boltzmann model and its application on the wetting dynamics of a ferrofluid droplet under gravity effects	23
The fundamental solution element method based on irregular polygonal meshes	22
A decoupled stabilized finite element method for nonstationary stochastic shale oil model based on superhydrophobic material modification	22
Semi-implicit Lax-Wendroff kinetic scheme for multi-scale phonon transport	22
A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model	22
A mixed virtual element method for the two-dimensional Navier-Stokes equations in stream-function formulation	21
Superconvergence analysis of finite element method for nonlinear semiconductor device problem	21
A Kronecker product linear-cost solver for the high-order generalized-α method for multi-dimensional hyperbolic systems	21
Scalable fully implicit methods for subsurface flows in porous media with fractional derivative	21
Rot-div mixed finite element method of two dimensional Hodge Laplacian problem	21
Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem	21
Numerical analysis of fractional viscoelastic fluid problem solved by finite difference scheme	21
Editorial Board	21
Editorial Board	21
A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes	20
A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving	20
L2 error estimates for a family of cubic finite volume methods on triangular meshes	20
A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction	20
An efficient full-wave solver for eddy currents	20
A thermodynamically consistent diffuse interface model for multi-component two-phase flow with partial miscibility	20
Efficient discretization and preconditioning of the singularly perturbed reaction-diffusion problem	20
General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation	19
Highly efficient variant of SAV approach for the incompressible multi-component phase-field fluid models	19
AdaPW: An adaptive point-weighting method for training physics-informed neural networks	19
Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints	18
An easy to implement numerical framework for a cancer invasion mathematical model with two distinct cancer sub-populations	18
Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems	18

A posteriori error estimates for the DD+L2 jumps method on the neutron diffusion equations	18
A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model	18
Adaptive space-time BEM for the heat equation	18
Accurate and parallel simulation of the anisotropic dendrite crystal growth by Lagrangian data assimilation with directional operator splitting	18
Critical functions and inf-sup stability of Crouzeix-Raviart elements	18
An unconditionally stable modified leapfrog method for Maxwell's equation in Kerr-type nonlinear media	18
Comparison of several interpolation methods to reconstruct field data in the vicinity of a finite element immersed boundary	18
Numerical study of two-dimensional Burgers' equation by using a continuous Galerkin method	18
A novel localized collocation solver based on a radial Trefftz basis for thermal conduction analysis in FGMs with exponential variations	17
MC-CDNNs: The Monte Carlo-coupled deep neural networks approach for stochastic dual-porosity-Stokes flow coupled model	17
An enhanced moving particle semi-implicit method for simulation of incompressible fluid flow and fluid-structure interaction	17
Finite volume element method for nonlinear elliptic equations on quadrilateral meshes	17
Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a	17
A new parallel algorithm with high-order finite difference scheme for solving the Helmholtz equation in two and three dimensions	17
A fully discrete spectral scheme for time fractional Cahn-Hilliard equation with initial singularity	17
A reduced-order method for geometrically nonlinear analysis of the wing-upper-skin panels in the presence of buckling	17
Unconditional superconvergence analysis of a novel energy dissipation nonconforming Crank-Nicolson FEM for Sobolev equations with high order Burgers' type nonlinearity	17
A bilateral preconditioning for an L2-type all-at-once system from time-space non-local evolution equations with a weakly singular kernel	16
Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation	16
The RBF partition of unity method for a 2D time-fractional parabolic equation	16
A simplified lattice Boltzmann implementation of the quasi-static approximation in pipe flows under the presence of non-uniform magnetic fields	16
An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations	16
Kalman filter temperature estimation with a photoacoustic observation model during the hyperthermia treatment of cancer	16
An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker–Planck equations	16
Two efficient compact ADI methods for the two-dimensional fractional Oldroyd-B model	16
A novel high efficiency adaptive mapped WENO scheme	16
Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs	15
A flux solver based on discrete Boltzmann method for compressible flows with nonequilibrium effects	15
Editorial Board	15
A finite particle method based on a Riemann solver for modeling incompressible flows	15
Aubin–Nitsche-type estimates for space-time FOSLS for parabolic PDEs	15
Equilibrated flux a posteriori error estimates and adaptivity for nonlinear and doubly degenerate elliptic problems	15
A hybrid solution method for an inverse problem for the general transport equation	15
Editorial Board	15
Editorial Board	14
Hamilton–Jacobi–Bellman–Isaacs equation for rational inattention in the long-run management of river environments under uncertainty	14
Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation	14
H1-norm error analysis of an ADI compact finite difference method for a two-dimensional time-fractional reaction-diffusion equation with variable coefficients	14
Nonlocal Cahn-Hilliard type model for image inpainting	14
A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems	14
A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean	14
Two-grid finite volume element method for the time-dependent Schrödinger equation	14
Editorial Board	14
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations	14
Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems	14
Editorial Board	14
L1 scheme for solving an inverse problem subject to a fractional diffusion equation	14
A numerical study of drop evaporation at high density ratios using Front-Tracking method	14
Convolutional autoencoders, clustering, and POD for low-dimensional parametrization of flow equations	14
An accurate, robust, and efficient weak Galerkin finite element scheme with graded meshes for the time-fractional quasi-linear diffusion equation	14
Hamiltonian-preserving schemes for the two-dimensional fractional nonlinear Schrödinger wave equations	14
A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles	14
Supermodeling, a convergent data assimilation meta-procedure used in simulation of tumor progression	14
A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods	14
Unconditionally energy stable ESAV-VEM schemes with variable time steps for the time fractional Allen-Cahn equation	14
Modelling and simulation of radiative heat transfer in non-grey absorbing and emitting media under phase change	14
A novel numerical scheme for Black-Scholes PDEs modeling pricing securities	14
Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems	13
A new decoupled unconditionally stable scheme and its optimal error analysis for the Cahn-Hilliard-Navier-Stokes equations	13
Virtual element approximation of two-dimensional parabolic variational inequalities	13
Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation	13
Uniform stability of the SUPG method for the evolutionary convection–diffusion–reaction equation	13
Meshless and FEM approximations for mixed polytopal elements	13
A priori and a posteriori error estimates for hp-FEM for a Bingham type variational inequality of the second kind	13
A parallel finite element method based on fully overlapping domain decomposition for the steady-state Smagorinsky model	13
Simulating natural patterns via space-time accurate barycentric collocation methods for nonlinear PDEs	13
A computationally efficient strategy for time-fractional diffusion-reaction equations	13
Nonlocal p-Laplacian involving a nonlinear fractional reaction-diffusion system applied to image restoration	13
Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative	13
Regularization techniques for estimating the space-dependent source in an n-dimensional linear parabolic equation using space-dependent noisy data	13
Level set-fitted polytopal meshes with application to structural topology optimization	13
Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information	13
A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction	13
Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on L2 errors	13
A machine-learning enabled framework for quantifying uncertainties in parameters of computational models	12
A DPG method for the quad-curl problem	12
Generative adversarial physics-informed neural networks for solving forward and inverse problem with small labeled samples	12
Editorial Board	12
Approximate controllability of linear parabolic equation with memory	12
Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach	12

Meshless Galerkin analysis of the generalized Stokes problem	12
Hybrid non-convex regularizers model for removing multiplicative noise	12
Convergence of a simple discretization of the finite Hilbert transformation	12
On high-order finite element solution of eigenvalue problems on isospectral surfaces	12
Editorial Board	12
Computational study of magneto-convective non-Newtonian nanofluid slip flow over a stretching/shrinking sheet embedded in a porous medium	12
Analysis and simulation of sparse optimal control of the monodomain model	12
Approximate deconvolution discretisation	12
A local weak form of the generalized finite difference method (GFDM) with control volume in heat conduction problems	12
Discontinuous Galerkin finite element method for a fourth order parabolic variational inequality	12
Robust iterative spectral algorithms for smooth solutions of time-fractional nonlinear diffusion problems and convergence analysis	12
A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model	12
Editorial Board	12
A stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation	12
Editorial Board	12
Direct cumulant lattice Boltzmann simulations of transitional flow in gyroidal structures including experimental validation	12
Numerical approximation of a potentials formulation for the elasticity vibration problem	12
Split-step quintic uniform algebraic trigonometric tension b-spline collocation method for cubic Ginzburg-Landau equations	12
PINN-DTC: Adaptive partitioning of physics-informed neural network for designing thermal cloak	12
The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques	12
Editorial Board	12
Algebraic spectral analysis of the DSSR preconditioner	12
Numerical solutions of multidimensional nonlinear hyperbolic partial integro-differential equations using a redefined cubic B-spline-based differential quadrature method	12
Femurs segmentation by machine learning from CT scans combined with autonomous finite elements in orthopedic and endocrinology applications	12
A mass and charge conservative fully discrete scheme for a 3D diffuse interface model of the two-phase inductionless MHD flows	11
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients	11
A finite element level-set method for stress-based topology optimization of plate structures	11
Innovative discretizations of PDEs: Towards an accurate representation of the reality	11
Melting effect on Cattaneo–Christov and thermal radiation features for aligned MHD nanofluid flow comprising microorganisms to leading edge: FEM approach	11
Integral transform technique for determining stress intensity factor in wave propagation through functionally graded piezoelectric-viscoelastic structure	11
A hybrid reduced-order model for segregated fluid-structure interaction solvers in an ALE approach at high Reynolds number	11
Multi-material topology optimization of thermoelastic structures by an ordered SIMP-based phase field model	11
Phase field smoothing-PINN: A neural network solver for partial differential equations with discontinuous coefficients	11
Modified couple stress-based finite element model for analysis of partially supported 2D-FG sandwich microbeams with variable material length scale parameters	11
Least-squares versus partial least-squares finite element methods: Robust a priori and a posteriori error estimates of augmented mixed finite element methods	11
An efficient neural network method with plane wave activation functions for solving Helmholtz equation	11
Spatiotemporal numerical simulation of breast cancer tumors in one-dimensional nonlinear moving boundary models via temporal-spatial spectral collocation method	11
Performance evaluation of flux-reconstruction schemes in the discrete unified gas-kinetic scheme for low-speed continuum flows	11
An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model	11
An adaptive solution strategy for Richards' equation	11
Space-time unfitted finite element methods for time-dependent problems on moving domains	11
Improved-FSDT-based solid-shell element for buckling analysis of plate, spherical cap, and cylindrical shell of FG porous materials	11
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation	10
A high order Path-Conservative Central-Upwind Arbitrary DERivative (PCCU-ADER) method for a generalized high order sediment transport model	10
Editorial Board	10
Optimal convergence rates in L2 for a first order system least squares finite element method - part II: Inhomogeneous Robin boundary conditions	10
A subspace method based on the Neumann series for the solution of parametric linear systems	10
Hybrid meshless method for solving inhomogeneous polyharmonic equations	10
Drug delivery enhanced by ultrasound: Mathematical modeling and simulation	10
Modified preconditioned Newton-Krylov approaches for Navier-Stokes equations using nodal integral method	10
Convergence analysis of virtual element method for the electric interface model on polygonal meshes with small edges	10
A hybrid high-order method for Sobolev equation with convection-dominated term	10
An efficient implementation of nodal discontinuous Galerkin lattice Boltzmann method and validation for direct numerical simulation of turbulent flows	10
On the convergence rate of the splitting-up scheme for rough partial differential equations	10
Editorial Board	10
Numerical solution of optimal control of atherosclerosis using direct and indirect methods with shooting/collocation approach	10
An operator splitting method for multi-asset options with the Feynman-Kac formula	10
Editorial Board	10
Homogenization of large deforming fluid-saturated porous structures	10
Keller box simulation of magnetic pseudoplastic nano-polymer coating flow over a circular cylinder with entropy optimisation	10
A hybrid GFDM-DPIM solver for the stochastic response analysis of plate structures	10
Re-examining the partially saturated-cells method for incompressible flows with stationary and moving bodies	10
Parameter-free preconditioning for nearly-incompressible linear elasticity	10
Drug delivery to the anterior segment of the eye enhanced by ultrasound - modeling and simulation	10
Improving the staircase approximation for wettability implementation of phase-field model: Part 2 – Three-component permeation	10
Editorial Board	10
Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system	10
Machine learning-based WENO5 scheme	10
A qualitative analysis of bifocusing method for a real-time anomaly detection in microwave imaging	10
Editorial Board	10
Multi-patch parameterization method for isogeometric analysis using singular structure of cross-field	10
Efficient asymptotic models for axisymmetric eddy current problems in linear ferromagnetic materials	10
Convergence analysis of an energy-stable linearized virtual element method for the strongly damped Klein-Gordon equation	10
Asynchronous multimodal PINN pre-train framework based on TransVNet(MPP-TV) and its application in numerical solutions of the Cauchy problem for the Hamilton-Jacobi equation	10
Computational aspects of electromagnetic tomography	10
Editorial Board	10
An immersed weak Galerkin method for elliptic interface problems on polygonal meshes	10
Numerical aspects of Casimir energy computation in acoustic scattering	9
Physical informed neural networks with soft and hard boundary constraints for solving advection-diffusion equations using Fourier expansions	9
Robust high-order unfitted finite elements by interpolation-based discrete extension	9
Editorial Board	9
Modular parametric PGD enabling online solution of partial differential equations	9
Investigating the impact of vessel geometry on cerebral aneurysm formation using multi-phase blood flow models	9
Two-level dynamic load-balanced p-adaptive discontinuous Galerkin methods for compressible CFD simulations	9
A compact radial basis function partition of unity method	9
The collocation spectral method with domain decomposition for radiative heat transfer in two-dimensional enclosures	9
Editorial Board	9
SAV Fourier-spectral method for diffuse-interface tumor-growth model	9
Efficient discretization of fractional SPDEs via Galerkin and exponential Euler methods	9
A unified hp-HDG framework for Friedrichs' PDE systems	9
Global mean-square exponential stability and random periodicity of discrete-time stochastic inertial neural networks with discrete spatial diffusions and Dirichlet boundary condition	9
Editorial Board	9
Dynamics of particulate droplets collision: An Allen-Cahn based multiphase lattice Boltzmann approach	9
Online estimation of inlet contaminant concentration using Eulerian-Lagrangian method of fundamental solutions and Bayesian inference	9
Constrained maximization of conformal capacity	9