Computers & Mathematics With Applications

Article	Citations
Editorial Board	117
Editorial Board	93
A vectorial envelope Maxwell formulation for electromagnetic waveguides with application to nonlinear fiber optics	88
Editorial Board	85
BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions	78
Fully discrete scheme for a time-dependent Ginzburg-Landau equation in macromolecular microsphere composite hydrogels	70
Evaluation of novel wall function approach for supersonic flow problems involving separations induced by geometry and shocks	58
A phase-field-based multiple-relaxation-time lattice Boltzmann method for incompressible multiphase flows with density and viscosity contrasts	53
Editorial Board	52
Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	50
A decoupled, convergent and fully linear algorithm for the Landau–Lifshitz–Gilbert equation with magnetoelastic effects	49
Theoretical analysis and numerical scheme of local conservative characteristic finite difference for 2-d advection diffusion equations	45
A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates	43
Positivity-preserving DDFV scheme for compressible two-phase flow in porous media	43
A mixed finite element method for pricing American options and Greeks in the Heston model	42
Optimal investigation of the reheating furnace based on a 3D numerical model with the formation of both oxide scale layer and skid marks	42
Editorial Board	42
A non-uniform magnetic field coupled lattice Boltzmann model and its application on the wetting dynamics of a ferrofluid droplet under gravity effects	39
Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation	37
Editorial Board	36
Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model	36
An efficient computational framework for data assimilation of fractional-order dynamical system with sparse observations	36
A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting	35
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem	35
A novel Hermite spectral element method for elliptic interface eigenvalue problems	35

Directional enrichment functions for finite element solutions of transient anisotropic diffusion	34
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model	34
Two-stage selective segmentation method based on exponential weighted geodesic distance driven model and thresholding method	32
Adaptive total variational regularization of Gaussian denoisers for multiplicative noise removal	32
A unified spectral-geometric model of FGM double conical/cylindrical/spherical shell coupled with annular plates	31
Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemesImage 1	31
Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type	31
Numerical solutions of an option pricing rainfall weather derivatives model	30
Mixed virtual element methods for the poro-elastodynamics model on polygonal grids	30
Robust spectral element preconditioners for 1D elliptic boundary layer problems on geometrically graded meshes	30
Adaptive stabilized finite elements via residual minimization onto bubble enrichments	30
Numerical investigation of an explicit weak Galerkin scheme for a class of weakly damped semi-linear wave equations	29
A two-level multiphysics finite element method for a nonlinear poroelasticity model	29
A Crank-Nicolson ADI compact difference scheme for the two-dimensional tempered space-fractional diffusion equation	29
An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture	28
A two-parameter shift-splitting preconditioner for saddle point problems	28
An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations	28
Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect	28
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes	27
Numerical simulation of a non-linear sublimation process with temperature-dependent permeability and volumetric heat source: A phase change problem	27
Fractional spatio-temporal modeling for enhanced MRI super-resolution from multi-frame data	27
A thermodynamically consistent diffuse interface model for multi-component two-phase flow with partial miscibility	26
Editorial Board	26
A fully discrete spectral scheme for time fractional Cahn-Hilliard equation with initial singularity	26
Variable separated physics-informed neural networks based on adaptive weighted loss functions for blood flow model	26
Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem	26
Semi-implicit Lax-Wendroff kinetic scheme for multi-scale phonon transport	26
Unconditional superconvergence analysis of a novel energy dissipation nonconforming Crank-Nicolson FEM for Sobolev equations with high order Burgers' type nonlinearity	25
A new parallel algorithm with high-order finite difference scheme for solving the Helmholtz equation in two and three dimensions	25
The RBF partition of unity method for a 2D time-fractional parabolic equation	25
A decoupled stabilized finite element method for nonstationary stochastic shale oil model based on superhydrophobic material modification	24
Finite volume element method for nonlinear elliptic equations on quadrilateral meshes	24
A mixed virtual element method for the two-dimensional Navier-Stokes equations in stream-function formulation	24
A reduced-order method for geometrically nonlinear analysis of the wing-upper-skin panels in the presence of buckling	24
A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model	24
The fundamental solution element method based on irregular polygonal meshes	24
IgA and subgrid method	23
Quadrature error estimates for kernels with logarithmic singularity	22
AdaPW: An adaptive point-weighting method for training physics-informed neural networks	22
Editorial Board	22
Rot-div mixed finite element method of two dimensional Hodge Laplacian problem	22
Scalable fully implicit methods for subsurface flows in porous media with fractional derivative	22
Numerical study of two-dimensional Burgers' equation by using a continuous Galerkin method	22
A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving	21
Editorial Board	21
A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes	21
An efficient full-wave solver for eddy currents	21
Superconvergence analysis of finite element method for nonlinear semiconductor device problem	21
An unconditionally stable modified leapfrog method for Maxwell's equation in Kerr-type nonlinear mediaImage 1	20
A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model	20

A Kronecker product linear-cost solver for the high-order generalized-α method for multi-dimensional hyperbolic systems	20
An easy to implement numerical framework for a cancer invasion mathematical model with two distinct cancer sub-populations	20
Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints	20
A bilateral preconditioning for an L2-type all-at-once system from time-space non-local evolution equations with a weakly singular kernel	20
Hybrid approaches for the inverse source identification problem in a known penetrable obstacle from far-field data	20
Highly efficient variant of SAV approach for the incompressible multi-component phase-field fluid models	20
An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker–Planck equations	19
Editorial Board	19
Two unconditionally energy stable schemes for the Cahn-Hilliard equation	19
An enhanced moving particle semi-implicit method for simulation of incompressible fluid flow and fluid-structure interaction	19
A posteriori error estimates for the DD+L2 jumps method on the neutron diffusion equations	18
MC-CDNNs: The Monte Carlo-coupled deep neural networks approach for stochastic dual-porosity-Stokes flow coupled model	18
L2 error estimates for a family of cubic finite volume methods on triangular meshes	18
A finite particle method based on a Riemann solver for modeling incompressible flows	18
An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations	18
Two efficient compact ADI methods for the two-dimensional fractional Oldroyd-B model	18
Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems	18
Accurate and parallel simulation of the anisotropic dendrite crystal growth by Lagrangian data assimilation with directional operator splitting	18
A novel high efficiency adaptive mapped WENO scheme	18
A simplified lattice Boltzmann implementation of the quasi-static approximation in pipe flows under the presence of non-uniform magnetic fields	18
Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs	18
Comparison of several interpolation methods to reconstruct field data in the vicinity of a finite element immersed boundary	18
Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a	18
An efficient reduced-order approximation for the stochastic Allen-Cahn equation	18
Aubin–Nitsche-type estimates for space-time FOSLS for parabolic PDEs	17
A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model	17
Equilibrated flux a posteriori error estimates and adaptivity for nonlinear and doubly degenerate elliptic problems	17
Hamiltonian-preserving schemes for the two-dimensional fractional nonlinear Schrödinger wave equations	17
Kalman filter temperature estimation with a photoacoustic observation model during the hyperthermia treatment of cancer	17
A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction	17
Editorial Board	17
A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction	17
A parallel finite element method based on fully overlapping domain decomposition for the steady-state Smagorinsky model	16
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations	16
Direct cumulant lattice Boltzmann simulations of transitional flow in gyroidal structures including experimental validation	16
A priori and a posteriori error estimates for hp-FEM for a Bingham type variational inequality of the second kind	16
Network inpainting via optimal transport	16
Uniform stability of the SUPG method for the evolutionary convection–diffusion–reaction equation	16
Editorial Board	16
Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation	16
Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on L2 errors	16
Meshless and FEM approximations for mixed polytopal elements	15
Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative	15
A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods	15
Regularization techniques for estimating the space-dependent source in an n-dimensional linear parabolic equation using space-dependent noisy data	15
Editorial Board	15
A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles	15
A hybrid solution method for an inverse problem for the general transport equation	15
Modelling and simulation of radiative heat transfer in non-grey absorbing and emitting media under phase change	15
Level set-fitted polytopal meshes with application to structural topology optimization	15
A numerical study of drop evaporation at high density ratios using Front-Tracking method	15
Convolutional autoencoders, clustering, and POD for low-dimensional parametrization of flow equations	14
Unconditionally energy stable ESAV-VEM schemes with variable time steps for the time fractional Allen-Cahn equation	14
Editorial Board	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
Solving the inverse scattering problem via Carleman-based contraction mapping	14
An accurate, robust, and efficient weak Galerkin finite element scheme with graded meshes for the time-fractional quasi-linear diffusion equation	14
L1 scheme for solving an inverse problem subject to a fractional diffusion equation	14
A flux solver based on discrete Boltzmann method for compressible flows with nonequilibrium effects	14
Computational study of magneto-convective non-Newtonian nanofluid slip flow over a stretching/shrinking sheet embedded in a porous medium	14
A novel numerical scheme for Black-Scholes PDEs modeling pricing securities	14
Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information	14
Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems	14
Nonlocal p-Laplacian involving a nonlinear fractional reaction-diffusion system applied to image restoration	14
Generative adversarial physics-informed neural networks for solving forward and inverse problem with small labeled samples	14
Nonlocal Cahn-Hilliard type model for image inpainting	14
A new decoupled unconditionally stable scheme and its optimal error analysis for the Cahn-Hilliard-Navier-Stokes equations	14
Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation	14
Simulating natural patterns via space-time accurate barycentric collocation methods for nonlinear PDEs	14
Analysis and simulation of sparse optimal control of the monodomain model	13
On high-order finite element solution of eigenvalue problems on isospectral surfaces	13
Numerical approximation of a potentials formulation for the elasticity vibration problem	13
Numerical solutions of multidimensional nonlinear hyperbolic partial integro-differential equations using a redefined cubic B-spline-based differential quadrature method	13
An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model	13
Editorial Board	13
Convergence of a simple discretization of the finite Hilbert transformation	13
A DPG method for the quad-curl problem	13
Discontinuous Galerkin finite element method for a fourth order parabolic variational inequality	13
Convergence analysis and error estimates for the finite element method applied to nonlinear parabolic variational inequalities	13
Spatiotemporal numerical simulation of breast cancer tumors in one-dimensional nonlinear moving boundary models via temporal-spatial spectral collocation method	13

Algebraic spectral analysis of the DSSR preconditioner	13
Approximate deconvolution discretisation	13
Least-squares versus partial least-squares finite element methods: Robust a priori and a posteriori error estimates of augmented mixed finite element methods	13
A local weak form of the generalized finite difference method (GFDM) with control volume in heat conduction problems	12
A high-order discontinuous Galerkin method for the numerical modeling of epileptic seizures	12
The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques	12
Phase field smoothing-PINN: A neural network solver for partial differential equations with discontinuous coefficients	12
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients	12
Meshless Galerkin analysis of the generalized Stokes problem	12
Modified couple stress-based finite element model for analysis of partially supported 2D-FG sandwich microbeams with variable material length scale parameters	12
An adaptive solution strategy for Richards' equation	12
A machine-learning enabled framework for quantifying uncertainties in parameters of computational models	12
A mass and charge conservative fully discrete scheme for a 3D diffuse interface model of the two-phase inductionless MHD flows	12
A stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation	12
Partial shift-splitting preconditioners for double saddle-point systems	12
Hybrid non-convex regularizers model for removing multiplicative noise	12
Interpolation-free LBM on non-uniform lattices with a second-order accuracy recalibration procedure	12
Performance evaluation of flux-reconstruction schemes in the discrete unified gas-kinetic scheme for low-speed continuum flows	12
Approximate controllability of linear parabolic equation with memory	12
EM propagation analysis of multilayered fully anisotropic media with an efficacious model equivalent approach	12
Multi-material topology optimization of thermoelastic structures by an ordered SIMP-based phase field model	11
Innovative discretizations of PDEs: Towards an accurate representation of the reality	11
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation	11
Hybrid meshless method for solving inhomogeneous polyharmonic equations	11
Generating probability distributions on intervals and spheres: Convex decomposition	11
Split-step quintic uniform algebraic trigonometric tension b-spline collocation method for cubic Ginzburg-Landau equations	11
A hybrid reduced-order model for segregated fluid-structure interaction solvers in an ALE approach at high Reynolds number	11
Integral transform technique for determining stress intensity factor in wave propagation through functionally graded piezoelectric-viscoelastic structure	11
Femurs segmentation by machine learning from CT scans combined with autonomous finite elements in orthopedic and endocrinology applications	11
Multi-patch parameterization method for isogeometric analysis using singular structure of cross-field	11
A subspace method based on the Neumann series for the solution of parametric linear systems	11
Crouzeix-Raviart finite elements for lower energy bounds in Ginzburg-Landau-type minimisation	11
Convergence of a meshless numerical method for a chemotaxis system with density-suppressed motility	11
PINN-DTC: Adaptive partitioning of physics-informed neural network for designing thermal cloak	11
Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach	11
A decoupled, second-order dynamically regularized Lagrange multiplier method for the thermally coupled incompressible MHD equations	11
Improved-FSDT-based solid-shell element for buckling analysis of plate, spherical cap, and cylindrical shell of FG porous materials	11
Efficient asymptotic models for axisymmetric eddy current problems in linear ferromagnetic materials	11
Numerical solution of optimal control of atherosclerosis using direct and indirect methods with shooting/collocation approach	11
An operator splitting method for multi-asset options with the Feynman-Kac formula	11
Editorial Board	11
Subgrid multiscale stabilized finite element analysis for coupled non-isothermal Allen-Cahn-Navier-Stokes equations	11
Robust iterative spectral algorithms for smooth solutions of time-fractional nonlinear diffusion problems and convergence analysis	11
Space-time unfitted finite element methods for time-dependent problems on moving domains	11
Parameter-free preconditioning for nearly-incompressible linear elasticity	10
Editorial Board	10
Editorial Board	10
Numerical solutions of the nonlinear wave equations with energy-preserving sixth-order finite difference schemes	10
Spectral approach for thin plate torsional and flexural vibration by the method of matched sections	10
Numerical treatment of multi-dimensional time-fractional Benjamin-Bona-Mahony-Burgers equations in arbitrary domains with a novel improvised RBF-based method	10
Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system	10
Global mean-square exponential stability and random periodicity of discrete-time stochastic inertial neural networks with discrete spatial diffusions and Dirichlet boundary condition	10
Editorial Board	10
Modified wave dispersion properties in 1D and 2D state-based peridynamic media	10
Computational aspects of electromagnetic tomography	10
Drug delivery to the anterior segment of the eye enhanced by ultrasound - modeling and simulation	10
Modified preconditioned Newton-Krylov approaches for Navier-Stokes equations using nodal integral method	10
Robust high-order unfitted finite elements by interpolation-based discrete extension	10
Machine learning-based WENO5 scheme	10
On the convergence rate of the splitting-up scheme for rough partial differential equations	10
Global numerical analysis of an improved IMEX numerical scheme for a reaction diffusion SIS model in advective heterogeneous environments	10
Space-time finite element analysis of the advection-diffusion equation using Galerkin/least-square stabilization	10
A fast compact ADI method for the generalized two-dimensional fractional Oldroyd-B type fluid model	10
Editorial Board	10
Convergence analysis of virtual element method for the electric interface model on polygonal meshes with small edges	10
Editorial Board	10
Editorial Board	10
A lowest-order locking-free nonconforming virtual element method based on the reduced integration technique for linear elasticity problems	10
An immersed weak Galerkin method for elliptic interface problems on polygonal meshes	10
Numerical simulation of the time-fractional DPL bioheat model with phase change using meshfree RBFs approach	10
A hybrid GFDM-DPIM solver for the stochastic response analysis of plate structures	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
Editorial Board	10
A high order Path-Conservative Central-Upwind Arbitrary DERivative (PCCU-ADER) method for a generalized high order sediment transport model	10
Matrix-free ghost penalty evaluation via tensor product factorization	10
A geometry aware arbitrary order collocation boundary element method solver for the potential flow past three dimensional lifting surfaces	10
Reduced order modeling of partial differential equations on parameter-dependent domains using deep neural networks	9
Investigating the impact of vessel geometry on cerebral aneurysm formation using multi-phase blood flow models	9
Improving the third-order WENO schemes by using exponential polynomial space with a locally optimized shape parameter	9
Nonlinear methods for shape optimization problems in liquid crystal tactoids	9
Generalised heat kernel invariants of a graph and application to object clustering	9
A class of monotone and structure-preserving Du Fort-Frankel schemes for nonlinear Allen-Cahn equation	9
Two-point stress approximation: A simple and robust finite volume method for linearized (poro-)elasticity and Stokes flow	9
A decoupled, unconditionally energy stable and charge-conservative finite element method for inductionless magnetohydrodynamic equations	9
A totally meshless time-stepping transient analysis of elastodynamics	9
Investigation of mesoscopic boundary conditions for lattice Boltzmann method in laminar flow problems	9
Transient numerical simulation of control valve flow characteristics using a wall function and local grid refinement in LES-LBM	9
Dynamics of particulate droplets collision: An Allen-Cahn based multiphase lattice Boltzmann approach	9
Nonconforming finite element method and reduced order algorithm for poroelasticity problem	9
A scalable well-balanced Taylor-Galerkin scheme for a lava flow depth-integrated model with point source vents	9
Stability and convergence of high-order WENO-OS scheme for the Allen-Cahn equation	9
Online estimation of inlet contaminant concentration using Eulerian-Lagrangian method of fundamental solutions and Bayesian inference	9
Solving the Monge-Ampère equation via Poisson series physics-informed neural networks and its convergence analysis	9
Physics-informed neural network for option pricing weather derivatives model	9