Computers & Mathematics With Applications

Article	Citations
A vectorial envelope Maxwell formulation for electromagnetic waveguides with application to nonlinear fiber optics	146
Editorial Board	86
An efficient computational framework for data assimilation of fractional-order dynamical system with sparse observations	77
Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemes	70
Directional enrichment functions for finite element solutions of transient anisotropic diffusion	68
Positivity-preserving DDFV scheme for compressible two-phase flow in porous media	62
Editorial Board	61
A mixed finite element method for pricing American options and Greeks in the Heston model	56
Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	53
Optimal staggered-grid finite-difference method for wave modeling based on artificial neural networks	52
A unified spectral-geometric model of FGM double conical/cylindrical/spherical shell coupled with annular plates	46
Editorial Board	45
Adaptive total variational regularization of Gaussian denoisers for multiplicative noise removal	44
A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences	42
A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting	42
A decoupled, convergent and fully linear algorithm for the Landau–Lifshitz–Gilbert equation with magnetoelastic effects	37
An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations	35
Theoretical analysis and numerical scheme of local conservative characteristic finite difference for 2-d advection diffusion equations	34
On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations	34
A two-level multiphysics finite element method for a nonlinear poroelasticity model	33
Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation	33
An implicit lattice Boltzmann flux solver for simulation of compressible flows	33
A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: A priori and a posteriori analysis	33
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model	32
Unconditionally stable and parallel Discontinuous Galerkin solver	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
Editorial Board	31
An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture	30
Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type	30
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem	28
Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model	28
BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions	27
Fully discrete scheme for a time-dependent Ginzburg-Landau equation in macromolecular microsphere composite hydrogels	27
Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations	27
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes	25
A two-parameter shift-splitting preconditioner for saddle point problems	25
A boundary integral method to investigate pattern formation in a rotating Hele-Shaw cell with time dependent gap	25
Adaptive stabilized finite elements via residual minimization onto bubble enrichments	24
Evaluation of novel wall function approach for supersonic flow problems involving separations induced by geometry and shocks	24
A non-uniform magnetic field coupled lattice Boltzmann model and its application on the wetting dynamics of a ferrofluid droplet under gravity effects	24
A phase-field-based multiple-relaxation-time lattice Boltzmann method for incompressible multiphase flows with density and viscosity contrasts	24
Boundary integral formulations for acoustic modelling of high-contrast media	23
Numerical solutions of an option pricing rainfall weather derivatives model	23
Mixed virtual element methods for the poro-elastodynamics model on polygonal grids	23
A novel Hermite spectral element method for elliptic interface eigenvalue problems	23
Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect	23
Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian	23
Non intrusive reduced order modeling of parametrized PDEs by kernel POD and neural networks	22
A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates	22
Variable separated physics-informed neural networks based on adaptive weighted loss functions for blood flow model	22
Numerical simulation of a non-linear sublimation process with temperature-dependent permeability and volumetric heat source: A phase change problem	22
A reduced-order method for geometrically nonlinear analysis of the wing-upper-skin panels in the presence of buckling	21
A posteriori error estimates for the DD+L2 jumps method on the neutron diffusion equations	21
The fundamental solution element method based on irregular polygonal meshes	21
Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints	21
Semi-implicit Lax-Wendroff kinetic scheme for multi-scale phonon transport	21
An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker–Planck equations	21
Editorial Board	21
Accurate and parallel simulation of the anisotropic dendrite crystal growth by Lagrangian data assimilation with directional operator splitting	21
Two efficient compact ADI methods for the two-dimensional fractional Oldroyd-B model	20
A decoupled stabilized finite element method for nonstationary stochastic shale oil model based on superhydrophobic material modification	20
Rot-div mixed finite element method of two dimensional Hodge Laplacian problem	20
A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model	20
A mixed virtual element method for the two-dimensional Navier-Stokes equations in stream-function formulation	20
MC-CDNNs: The Monte Carlo-coupled deep neural networks approach for stochastic dual-porosity-Stokes flow coupled model	19
Unconditional superconvergence analysis of a novel energy dissipation nonconforming Crank-Nicolson FEM for Sobolev equations with high order Burgers' type nonlinearity	19
A novel localized collocation solver based on a radial Trefftz basis for thermal conduction analysis in FGMs with exponential variations	19
An unconditionally stable modified leapfrog method for Maxwell's equation in Kerr-type nonlinear media	19
Critical functions and inf-sup stability of Crouzeix-Raviart elements	19
Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a	19
An enhanced moving particle semi-implicit method for simulation of incompressible fluid flow and fluid-structure interaction	18
A finite particle method based on a Riemann solver for modeling incompressible flows	18
Finite volume element method for nonlinear elliptic equations on quadrilateral meshes	18
Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem	18
A simplified lattice Boltzmann implementation of the quasi-static approximation in pipe flows under the presence of non-uniform magnetic fields	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
Editorial Board	18
A bilateral preconditioning for an L2-type all-at-once system from time-space non-local evolution equations with a weakly singular kernel	18
A Kronecker product linear-cost solver for the high-order generalized-α method for multi-dimensional hyperbolic systems	18
Editorial Board	18
Superconvergence analysis of finite element method for nonlinear semiconductor device problem	18
An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations	18
An efficient full-wave solver for eddy currents	17
A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes	17
Efficient discretization and preconditioning of the singularly perturbed reaction-diffusion problem	17
L2 error estimates for a family of cubic finite volume methods on triangular meshes	17
PIES for 2D elastoplastic problems with singular plastic strain fields	17
A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction	17
A novel high efficiency adaptive mapped WENO scheme	16
Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems	16
Scalable fully implicit methods for subsurface flows in porous media with fractional derivative	16
A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving	16
Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs	16
A thermodynamically consistent diffuse interface model for multi-component two-phase flow with partial miscibility	16
A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model	15
The RBF partition of unity method for a 2D time-fractional parabolic equation	15
AdaPW: An adaptive point-weighting method for training physics-informed neural networks	15
A new parallel algorithm with high-order finite difference scheme for solving the Helmholtz equation in two and three dimensions	15
General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation	15
Kalman filter temperature estimation with a photoacoustic observation model during the hyperthermia treatment of cancer	15
Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation	15
Adaptive space-time BEM for the heat equation	15
A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems	14
Editorial Board	14
Equilibrated flux a posteriori error estimates and adaptivity for nonlinear and doubly degenerate elliptic problems	14
Modelling and simulation of radiative heat transfer in non-grey absorbing and emitting media under phase change	14
A fully discrete spectral scheme for time fractional Cahn-Hilliard equation with initial singularity	14
A parallel finite element method based on fully overlapping domain decomposition for the steady-state Smagorinsky model	14
Hamiltonian-preserving schemes for the two-dimensional fractional nonlinear Schrödinger wave equations	14
Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on L2 errors	14
Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems	14
A flux solver based on discrete Boltzmann method for compressible flows with nonequilibrium effects	14
Numerical analysis of fractional viscoelastic fluid problem solved by finite difference scheme	14
A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model	14
A numerical study of drop evaporation at high density ratios using Front-Tracking method	14
Supermodeling, a convergent data assimilation meta-procedure used in simulation of tumor progression	14
Parameter dependent finite element analysis for ferronematics solutions	14
Editorial Board	14
A new decoupled unconditionally stable scheme and its optimal error analysis for the Cahn-Hilliard-Navier-Stokes equations	14
Highly efficient variant of SAV approach for the incompressible multi-component phase-field fluid models	14
Aubin–Nitsche-type estimates for space-time FOSLS for parabolic PDEs	14
A hybrid solution method for an inverse problem for the general transport equation	14
Editorial Board	14
Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation	13
Nonlocal p-Laplacian involving a nonlinear fractional reaction-diffusion system applied to image restoration	13
Uniform stability of the SUPG method for the evolutionary convection–diffusion–reaction equation	13
Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information	13
A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean	13
A novel numerical scheme for Black-Scholes PDEs modeling pricing securities	13
Editorial Board	13
Hamilton–Jacobi–Bellman–Isaacs equation for rational inattention in the long-run management of river environments under uncertainty	13
A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods	13
Nonlocal Cahn-Hilliard type model for image inpainting	13
Convolutional autoencoders, clustering, and POD for low-dimensional parametrization of flow equations	13
Virtual element approximation of two-dimensional parabolic variational inequalities	13
A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles	13
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations	13
Editorial Board	13
Editorial Board	13
Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems	13
Editorial Board	13
A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction	12
A computationally efficient strategy for time-fractional diffusion-reaction equations	12
Generative adversarial physics-informed neural networks for solving forward and inverse problem with small labeled samples	12
L1 scheme for solving an inverse problem subject to a fractional diffusion equation	12
Integral transform technique for determining stress intensity factor in wave propagation through functionally graded piezoelectric-viscoelastic structure	12
Editorial Board	12
Analysis and simulation of sparse optimal control of the monodomain model	12
A priori and a posteriori error estimates for hp-FEM for a Bingham type variational inequality of the second kind	12
Level set-fitted polytopal meshes with application to structural topology optimization	12
Regularization techniques for estimating the space-dependent source in an n-dimensional linear parabolic equation using space-dependent noisy data	12
Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation	12
Unconditionally energy stable ESAV-VEM schemes with variable time steps for the time fractional Allen-Cahn equation	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
H1-norm error analysis of an ADI compact finite difference method for a two-dimensional time-fractional reaction-diffusion equation with variable coefficients	12
Direct cumulant lattice Boltzmann simulations of transitional flow in gyroidal structures including experimental validation	12
Two-grid finite volume element method for the time-dependent Schrödinger equation	12
Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative	12
A machine-learning enabled framework for quantifying uncertainties in parameters of computational models	12
A stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation	12
An accurate, robust, and efficient weak Galerkin finite element scheme with graded meshes for the time-fractional quasi-linear diffusion equation	12
Editorial Board	11
Approximate deconvolution discretisation	11
Convergence of a simple discretization of the finite Hilbert transformation	11
An efficient neural network method with plane wave activation functions for solving Helmholtz equation	11
Split-step quintic uniform algebraic trigonometric tension b-spline collocation method for cubic Ginzburg-Landau equations	11
Multi-material topology optimization of thermoelastic structures by an ordered SIMP-based phase field model	11
A mass and charge conservative fully discrete scheme for a 3D diffuse interface model of the two-phase inductionless MHD flows	11
The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques	11
A DPG method for the quad-curl problem	11
A non-intrusive reduced-order modeling for uncertainty propagation of time-dependent problems using a B-splines Bézier elements-based method and proper orthogonal decomposition: Application to dam-bre	11
Femurs segmentation by machine learning from CT scans combined with autonomous finite elements in orthopedic and endocrinology applications	11
On high-order finite element solution of eigenvalue problems on isospectral surfaces	11
Robust iterative spectral algorithms for smooth solutions of time-fractional nonlinear diffusion problems and convergence analysis	11
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients	11
Phase field smoothing-PINN: A neural network solver for partial differential equations with discontinuous coefficients	11
Algebraic spectral analysis of the DSSR preconditioner	11
Hybrid non-convex regularizers model for removing multiplicative noise	11
Meshless Galerkin analysis of the generalized Stokes problem	11
Numerical solutions of multidimensional nonlinear hyperbolic partial integro-differential equations using a redefined cubic B-spline-based differential quadrature method	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
Improved-FSDT-based solid-shell element for buckling analysis of plate, spherical cap, and cylindrical shell of FG porous materials	11
A finite element level-set method for stress-based topology optimization of plate structures	11
Editorial Board	10
Hybrid meshless method for solving inhomogeneous polyharmonic equations	10
Space-time finite element analysis of the advection-diffusion equation using Galerkin/least-square stabilization	10
Numerical treatment of multi-dimensional time-fractional Benjamin-Bona-Mahony-Burgers equations in arbitrary domains with a novel improvised RBF-based method	10
A subspace method based on the Neumann series for the solution of parametric linear systems	10
Least-squares versus partial least-squares finite element methods: Robust a priori and a posteriori error estimates of augmented mixed finite element methods	10
An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model	10
A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem	10
Space-time unfitted finite element methods for time-dependent problems on moving domains	10
Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system	10
A qualitative analysis of bifocusing method for a real-time anomaly detection in microwave imaging	10
Editorial Board	10
Physical informed neural networks with soft and hard boundary constraints for solving advection-diffusion equations using Fourier expansions	10
Machine learning-based WENO5 scheme	10
Numerical solutions of the nonlinear wave equations with energy-preserving sixth-order finite difference schemes	10
Innovative discretizations of PDEs: Towards an accurate representation of the reality	10
Modified couple stress-based finite element model for analysis of partially supported 2D-FG sandwich microbeams with variable material length scale parameters	10
Approximate controllability of linear parabolic equation with memory	10
Editorial Board	10
A Lagrange multiplier method for fluid-structure interaction: Well-posedness and domain decomposition	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
A space-time discretization of a nonlinear peridynamic model on a 2D lamina	10
Multi-patch parameterization method for isogeometric analysis using singular structure of cross-field	10
Optimal convergence rates in L2 for a first order system least squares finite element method - part II: Inhomogeneous Robin boundary conditions	10
Modified preconditioned Newton-Krylov approaches for Navier-Stokes equations using nodal integral method	10
Melting effect on Cattaneo–Christov and thermal radiation features for aligned MHD nanofluid flow comprising microorganisms to leading edge: FEM approach	10
Spatiotemporal numerical simulation of breast cancer tumors in one-dimensional nonlinear moving boundary models via temporal-spatial spectral collocation method	10
An adaptive solution strategy for Richards' equation	10
Numerical approximation of a potentials formulation for the elasticity vibration problem	10
A hybrid reduced-order model for segregated fluid-structure interaction solvers in an ALE approach at high Reynolds number	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
Keller box simulation of magnetic pseudoplastic nano-polymer coating flow over a circular cylinder with entropy optimisation	9
Online estimation of inlet contaminant concentration using Eulerian-Lagrangian method of fundamental solutions and Bayesian inference	9
A compact radial basis function partition of unity method	9
Convergence analysis of virtual element method for the electric interface model on polygonal meshes with small edges	9
An operator splitting method for multi-asset options with the Feynman-Kac formula	9
Editorial Board	9
Efficient asymptotic models for axisymmetric eddy current problems in linear ferromagnetic materials	9
A lowest-order locking-free nonconforming virtual element method based on the reduced integration technique for linear elasticity problems	9
A new third-order energy stable technique and error estimate for the extended Fisher–Kolmogorov equation	9
Investigating the impact of vessel geometry on cerebral aneurysm formation using multi-phase blood flow models	9
Nonlinear methods for shape optimization problems in liquid crystal tactoids	9
Global numerical analysis of an improved IMEX numerical scheme for a reaction diffusion SIS model in advective heterogeneous environments	9
Bivariate collocation for computing R0 in epidemic models with two structures	9
Modified wave dispersion properties in 1D and 2D state-based peridynamic media	9
Parameter-free preconditioning for nearly-incompressible linear elasticity	9
Numerical solution of optimal control of atherosclerosis using direct and indirect methods with shooting/collocation approach	9
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation	9
A hybrid GFDM-DPIM solver for the stochastic response analysis of plate structures	9
Editorial Board	9
Computational aspects of electromagnetic tomography	9
Efficient discretization of fractional SPDEs via Galerkin and exponential Euler methods	9
Robust high-order unfitted finite elements by interpolation-based discrete extension	9
High-order analysis of lattice Boltzmann models for the conservative Allen-Cahn equation	9
Effects of prefilmer edge configuration on primary liquid film breakup: A lattice Boltzmann study	9
Generating probability distributions on intervals and spheres: Convex decomposition	9
Re-examining the partially saturated-cells method for incompressible flows with stationary and moving bodies	9
Editorial Board	9
On the convergence rate of the splitting-up scheme for rough partial differential equations	9
Homogenization of large deforming fluid-saturated porous structures	9
A high order Path-Conservative Central-Upwind Arbitrary DERivative (PCCU-ADER) method for a generalized high order sediment transport model	9
Drug delivery to the anterior segment of the eye enhanced by ultrasound - modeling and simulation	9
An immersed weak Galerkin method for elliptic interface problems on polygonal meshes	9
Constrained maximization of conformal capacity	9