Computers & Mathematics With Applications

Article	Citations
Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian	141
Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemes	83
Editorial Board	74
A vectorial envelope Maxwell formulation for electromagnetic waveguides with application to nonlinear fiber optics	67
Theoretical analysis and numerical scheme of local conservative characteristic finite difference for 2-d advection diffusion equations	67
Editorial Board	60
An efficient computational framework for data assimilation of fractional-order dynamical system with sparse observations	59
Editorial Board	52
A pencil distributed direct numerical simulation solver with versatile treatments for viscous term	51
A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: A priori and a posteriori analysis	49
A boundary integral method to investigate pattern formation in a rotating Hele-Shaw cell with time dependent gap	44
Evaluation of novel wall function approach for supersonic flow problems involving separations induced by geometry and shocks	42
Directional enrichment functions for finite element solutions of transient anisotropic diffusion	42
Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations	40
On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations	39
A non-uniform magnetic field coupled lattice Boltzmann model and its application on the wetting dynamics of a ferrofluid droplet under gravity effects	39
Positivity-preserving DDFV scheme for compressible two-phase flow in porous media	37
A unified spectral-geometric model of FGM double conical/cylindrical/spherical shell coupled with annular plates	34
An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture	33
A partitioned solver for compressible/incompressible fluid flow and light structure	33
Boundary integral formulations for acoustic modelling of high-contrast media	33
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model	32
A decoupled, convergent and fully linear algorithm for the Landau–Lifshitz–Gilbert equation with magnetoelastic effects	32
A phase-field-based multiple-relaxation-time lattice Boltzmann method for incompressible multiphase flows with density and viscosity contrasts	32
A two-level multiphysics finite element method for a nonlinear poroelasticity model	31

An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations	30
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes	30
Optimal staggered-grid finite-difference method for wave modeling based on artificial neural networks	29
Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type	29
Unconditionally stable and parallel Discontinuous Galerkin solver	28
Adaptive stabilized finite elements via residual minimization onto bubble enrichments	27
Fully discrete scheme for a time-dependent Ginzburg-Landau equation in macromolecular microsphere composite hydrogels	26
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem	25
An implicit lattice Boltzmann flux solver for simulation of compressible flows	24
Numerical simulation of a non-linear sublimation process with temperature-dependent permeability and volumetric heat source: A phase change problem	24
Editorial Board	24
Optimal investigation of the reheating furnace based on a 3D numerical model with the formation of both oxide scale layer and skid marks	24
A two-parameter shift-splitting preconditioner for saddle point problems	24
Mixed virtual element methods for the poro-elastodynamics model on polygonal grids	24
A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates	24
Adaptive total variational regularization of Gaussian denoisers for multiplicative noise removal	23
Numerical solutions of an option pricing rainfall weather derivatives model	23
A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting	23
Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation	22
A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences	22
Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model	22
Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect	22
A mixed finite element method for pricing American options and Greeks in the Heston model	22
A reduced-order method for geometrically nonlinear analysis of the wing-upper-skin panels in the presence of buckling	21
A new parallel algorithm with high-order finite difference scheme for solving the Helmholtz equation in two and three dimensions	21
Non intrusive reduced order modeling of parametrized PDEs by kernel POD and neural networks	21
Editorial Board	21
BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions	21
Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	21
A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving	21
Variable separated physics-informed neural networks based on adaptive weighted loss functions for blood flow model	21
Semi-implicit Lax-Wendroff kinetic scheme for multi-scale phonon transport	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
PIES for 2D elastoplastic problems with singular plastic strain fields	20
Unconditional superconvergence analysis of a novel energy dissipation nonconforming Crank-Nicolson FEM for Sobolev equations with high order Burgers' type nonlinearity	20
An efficient full-wave solver for eddy currents	20
Superconvergence analysis of finite element method for nonlinear semiconductor device problem	20
A decoupled stabilized finite element method for nonstationary stochastic shale oil model based on superhydrophobic material modification	20
L2 error estimates for a family of cubic finite volume methods on triangular meshes	19
A simplified lattice Boltzmann implementation of the quasi-static approximation in pipe flows under the presence of non-uniform magnetic fields	19
Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation	19
An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker–Planck equations	19
A Kronecker product linear-cost solver for the high-order generalized-α method for multi-dimensional hyperbolic systems	19
Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem	19
A thermodynamically consistent diffuse interface model for multi-component two-phase flow with partial miscibility	19
The fundamental solution element method based on irregular polygonal meshes	19
Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints	18
Adaptive space-time BEM for the heat equation	18
Critical functions and inf-sup stability of Crouzeix-Raviart elements	18

Highly efficient variant of SAV approach for the incompressible multi-component phase-field fluid models	18
Kalman filter temperature estimation with a photoacoustic observation model during the hyperthermia treatment of cancer	18
Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems	17
Editorial Board	17
A finite particle method based on a Riemann solver for modeling incompressible flows	17
The RBF partition of unity method for a 2D time-fractional parabolic equation	17
Rot-div mixed finite element method of two dimensional Hodge Laplacian problem	17
Numerical analysis of fractional viscoelastic fluid problem solved by finite difference scheme	17
A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model	17
A posteriori error estimates for the DD+L2 jumps method on the neutron diffusion equations	17
A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction	16
General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation	16
Numerical study of two-dimensional Burgers' equation by using a continuous Galerkin method	16
Editorial Board	16
Scalable fully implicit methods for subsurface flows in porous media with fractional derivative	16
An unconditionally stable modified leapfrog method for Maxwell's equation in Kerr-type nonlinear media	15
An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations	15
A bilateral preconditioning for an L2-type all-at-once system from time-space non-local evolution equations with a weakly singular kernel	15
Efficient discretization and preconditioning of the singularly perturbed reaction-diffusion problem	15
Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a	15
Comparison of several interpolation methods to reconstruct field data in the vicinity of a finite element immersed boundary	15
A fully discrete spectral scheme for time fractional Cahn-Hilliard equation with initial singularity	14
Hamilton–Jacobi–Bellman–Isaacs equation for rational inattention in the long-run management of river environments under uncertainty	14
Finite volume element method for nonlinear elliptic equations on quadrilateral meshes	14
A novel localized collocation solver based on a radial Trefftz basis for thermal conduction analysis in FGMs with exponential variations	14
A novel high efficiency adaptive mapped WENO scheme	14
Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs	14
Two efficient compact ADI methods for the two-dimensional fractional Oldroyd-B model	14
Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information	14
Accurate and parallel simulation of the anisotropic dendrite crystal growth by Lagrangian data assimilation with directional operator splitting	14
A preservative splitting approximation of the solution of a variable coefficient quenching problem	14
On the simulation of image-based cellular materials in a meshless style	14
MC-CDNNs: The Monte Carlo-coupled deep neural networks approach for stochastic dual-porosity-Stokes flow coupled model	14
Supermodeling, a convergent data assimilation meta-procedure used in simulation of tumor progression	14
An enhanced moving particle semi-implicit method for simulation of incompressible fluid flow and fluid-structure interaction	14
A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes	14
An accurate, robust, and efficient weak Galerkin finite element scheme with graded meshes for the time-fractional quasi-linear diffusion equation	13
Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation	13
A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems	13
Two-grid finite volume element method for the time-dependent Schrödinger equation	13
Uniform stability of the SUPG method for the evolutionary convection–diffusion–reaction equation	13
A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles	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
A hybrid solution method for an inverse problem for the general transport equation	13
Modelling and simulation of radiative heat transfer in non-grey absorbing and emitting media under phase change	13
Parameter dependent finite element analysis for ferronematics solutions	13
Editorial Board	13
Convolutional autoencoders, clustering, and POD for low-dimensional parametrization of flow equations	13
A parallel finite element method based on fully overlapping domain decomposition for the steady-state Smagorinsky model	13
Editorial Board	13
Regularization techniques for estimating the space-dependent source in an n-dimensional linear parabolic equation using space-dependent noisy data	13
Aubin–Nitsche-type estimates for space-time FOSLS for parabolic PDEs	13
A priori and a posteriori error estimates for hp-FEM for a Bingham type variational inequality of the second kind	13
A computationally efficient strategy for time-fractional diffusion-reaction equations	13
Editorial Board	13
Hamiltonian-preserving schemes for the two-dimensional fractional nonlinear Schrödinger wave equations	13
Editorial Board	13
Editorial Board	13
Virtual element approximation of two-dimensional parabolic variational inequalities	12
Direct cumulant lattice Boltzmann simulations of transitional flow in gyroidal structures including experimental validation	12
Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on L2 errors	12
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations	12
Nonlocal p-Laplacian involving a nonlinear fractional reaction-diffusion system applied to image restoration	12
L1 scheme for solving an inverse problem subject to a fractional diffusion equation	12
Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative	12
Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems	12
A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods	12
Editorial Board	12
Nonlocal Cahn-Hilliard type model for image inpainting	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
A flux solver based on discrete Boltzmann method for compressible flows with nonequilibrium effects	12
A numerical study of drop evaporation at high density ratios using Front-Tracking method	12
Unconditionally energy stable ESAV-VEM schemes with variable time steps for the time fractional Allen-Cahn equation	12
A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model	12
Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation	12
A novel numerical scheme for Black-Scholes PDEs modeling pricing securities	12
Level set-fitted polytopal meshes with application to structural topology optimization	12
A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction	12

Equilibrated flux a posteriori error estimates and adaptivity for nonlinear and doubly degenerate elliptic problems	12
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
Approximate deconvolution discretisation	11
A DPG method for the quad-curl problem	11
Numerical approximation of a potentials formulation for the elasticity vibration problem	11
Space-time unfitted finite element methods for time-dependent problems on moving domains	11
Editorial Board	11
Generative adversarial physics-informed neural networks for solving forward and inverse problem with small labeled samples	11
Computational study of magneto-convective non-Newtonian nanofluid slip flow over a stretching/shrinking sheet embedded in a porous medium	11
An efficient neural network method with plane wave activation functions for solving Helmholtz equation	11
On high-order finite element solution of eigenvalue problems on isospectral surfaces	11
Integral transform technique for determining stress intensity factor in wave propagation through functionally graded piezoelectric-viscoelastic structure	11
A machine-learning enabled framework for quantifying uncertainties in parameters of computational models	11
Convergence of a simple discretization of the finite Hilbert transformation	11
Split-step quintic uniform algebraic trigonometric tension b-spline collocation method for cubic Ginzburg-Landau equations	11
Approximate controllability of linear parabolic equation with memory	11
Analysis and simulation of sparse optimal control of the monodomain model	11
A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean	11
Editorial Board	11
A hybrid reduced-order model for segregated fluid-structure interaction solvers in an ALE approach at high Reynolds number	11
A stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation	11
Spatiotemporal numerical simulation of breast cancer tumors in one-dimensional nonlinear moving boundary models via temporal-spatial spectral collocation method	11
An interpolation-based lattice Boltzmann method for non-conforming orthogonal meshes	11
Femurs segmentation by machine learning from CT scans combined with autonomous finite elements in orthopedic and endocrinology applications	11
Editorial Board	11
Algebraic spectral analysis of the DSSR preconditioner	11
A new decoupled unconditionally stable scheme and its optimal error analysis for the Cahn-Hilliard-Navier-Stokes equations	11
PINN-DTC: Adaptive partitioning of physics-informed neural network for designing thermal cloak	11
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
Editorial Board	10
An immersed weak Galerkin method for elliptic interface problems on polygonal meshes	10
The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques	10
Robust iterative spectral algorithms for smooth solutions of time-fractional nonlinear diffusion problems and convergence analysis	10
Phase field smoothing-PINN: A neural network solver for partial differential equations with discontinuous coefficients	10
Meshless Galerkin analysis of the generalized Stokes problem	10
Melting effect on Cattaneo–Christov and thermal radiation features for aligned MHD nanofluid flow comprising microorganisms to leading edge: FEM approach	10
Numerical solution of optimal control of atherosclerosis using direct and indirect methods with shooting/collocation approach	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
Multi-material topology optimization of thermoelastic structures by an ordered SIMP-based phase field model	10
Improved-FSDT-based solid-shell element for buckling analysis of plate, spherical cap, and cylindrical shell of FG porous materials	10
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients	10
An adaptive solution strategy for Richards' equation	10
Innovative discretizations of PDEs: Towards an accurate representation of the reality	10
Editorial Board	10
Hybrid non-convex regularizers model for removing multiplicative noise	10
A finite element level-set method for stress-based topology optimization of plate structures	10
A mass and charge conservative fully discrete scheme for a 3D diffuse interface model of the two-phase inductionless MHD flows	10
Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach	10
Convergence analysis of virtual element method for the electric interface model on polygonal meshes with small edges	9
Modified wave dispersion properties in 1D and 2D state-based peridynamic media	9
A space-time discretization of a nonlinear peridynamic model on a 2D lamina	9
Effects of prefilmer edge configuration on primary liquid film breakup: A lattice Boltzmann study	9
Robust high-order unfitted finite elements by interpolation-based discrete extension	9
A new third-order energy stable technique and error estimate for the extended Fisher–Kolmogorov equation	9
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation	9
High-order analysis of lattice Boltzmann models for the conservative Allen-Cahn equation	9
Modified preconditioned Newton-Krylov approaches for Navier-Stokes equations using nodal integral method	9
Numerical solutions of the nonlinear wave equations with energy-preserving sixth-order finite difference schemes	9
Homogenization of large deforming fluid-saturated porous structures	9
Space-time finite element analysis of the advection-diffusion equation using Galerkin/least-square stabilization	9
Computational aspects of electromagnetic tomography	9
A lowest-order locking-free nonconforming virtual element method based on the reduced integration technique for linear elasticity problems	9
An operator splitting method for multi-asset options with the Feynman-Kac formula	9
Bivariate collocation for computing R0 in epidemic models with two structures	9
Global numerical analysis of an improved IMEX numerical scheme for a reaction diffusion SIS model in advective heterogeneous environments	9
Convergence of a meshless numerical method for a chemotaxis system with density-suppressed motility	9
Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system	9
On the convergence rate of the splitting-up scheme for rough partial differential equations	9
Multi-patch parameterization method for isogeometric analysis using singular structure of cross-field	9
Hybrid meshless method for solving inhomogeneous polyharmonic equations	9
Editorial Board	9
Editorial Board	9
Parameter-free preconditioning for nearly-incompressible linear elasticity	9
Optimal convergence rates in L2 for a first order system least squares finite element method - part II: Inhomogeneous Robin boundary conditions	9
Editorial Board	9
Generating probability distributions on intervals and spheres: Convex decomposition	9
Machine learning-based WENO5 scheme	9
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	9
Numerical treatment of multi-dimensional time-fractional Benjamin-Bona-Mahony-Burgers equations in arbitrary domains with a novel improvised RBF-based method	9
Drug delivery enhanced by ultrasound: Mathematical modeling and simulation	9
Improving the staircase approximation for wettability implementation of phase-field model: Part 2 – Three-component permeation	9
Drug delivery to the anterior segment of the eye enhanced by ultrasound - modeling and simulation	9
Keller box simulation of magnetic pseudoplastic nano-polymer coating flow over a circular cylinder with entropy optimisation	9
Efficient asymptotic models for axisymmetric eddy current problems in linear ferromagnetic materials	9
Editorial Board	9
Online estimation of inlet contaminant concentration using Eulerian-Lagrangian method of fundamental solutions and Bayesian inference	8
An overset interpolation algorithm for multi-phase flows using 3D multiblock polyhedral meshes	8
Constrained maximization of conformal capacity	8
Investigating the impact of vessel geometry on cerebral aneurysm formation using multi-phase blood flow models	8
Improving the third-order WENO schemes by using exponential polynomial space with a locally optimized shape parameter	8
Time-fractional Cahn–Hilliard equation: Well-posedness, degeneracy, and numerical solutions	8
Static and vibration analyses of functionally graded porous shell structures by using an averaged edge/node-based smoothed MITC3 element	8
Nonlinear methods for shape optimization problems in liquid crystal tactoids	8