Computers & Mathematics With Applications

Article	Citations
Editorial Board	105
Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemes	84
A two-level multiphysics finite element method for a nonlinear poroelasticity model	81
A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: A priori and a posteriori analysis	76
Editorial Board	75
BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions	70
Fully discrete scheme for a time-dependent Ginzburg-Landau equation in macromolecular microsphere composite hydrogels	59
A boundary integral method to investigate pattern formation in a rotating Hele-Shaw cell with time dependent gap	54
Evaluation of novel wall function approach for supersonic flow problems involving separations induced by geometry and shocks	52
A phase-field-based multiple-relaxation-time lattice Boltzmann method for incompressible multiphase flows with density and viscosity contrasts	51
Editorial Board	47
Variable separated physics-informed neural networks based on adaptive weighted loss functions for blood flow model	40
Positivity-preserving DDFV scheme for compressible two-phase flow in porous media	40
A vectorial envelope Maxwell formulation for electromagnetic waveguides with application to nonlinear fiber optics	38
Editorial Board	38
Adaptive stabilized finite elements via residual minimization onto bubble enrichments	37
Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation	36
An efficient computational framework for data assimilation of fractional-order dynamical system with sparse observations	36
Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model	35
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model	34
An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture	34
An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations	33
Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect	33
Directional enrichment functions for finite element solutions of transient anisotropic diffusion	33
A decoupled, convergent and fully linear algorithm for the Landau–Lifshitz–Gilbert equation with magnetoelastic effects	33

A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting	33
Numerical solutions of an option pricing rainfall weather derivatives model	32
Theoretical analysis and numerical scheme of local conservative characteristic finite difference for 2-d advection diffusion equations	32
Two-stage selective segmentation method based on exponential weighted geodesic distance driven model and thresholding method	31
A non-uniform magnetic field coupled lattice Boltzmann model and its application on the wetting dynamics of a ferrofluid droplet under gravity effects	31
Adaptive total variational regularization of Gaussian denoisers for multiplicative noise removal	30
A mixed finite element method for pricing American options and Greeks in the Heston model	30
Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	29
Mixed virtual element methods for the poro-elastodynamics model on polygonal grids	29
Editorial Board	29
Numerical simulation of a non-linear sublimation process with temperature-dependent permeability and volumetric heat source: A phase change problem	29
A unified spectral-geometric model of FGM double conical/cylindrical/spherical shell coupled with annular plates	29
A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates	28
A two-parameter shift-splitting preconditioner for saddle point problems	28
Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type	28
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes	27
Editorial Board	27
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem	27
Editorial Board	27
A novel Hermite spectral element method for elliptic interface eigenvalue problems	27
Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations	27
Optimal investigation of the reheating furnace based on a 3D numerical model with the formation of both oxide scale layer and skid marks	27
Fractional spatio-temporal modeling for enhanced MRI super-resolution from multi-frame data	27
An easy to implement numerical framework for a cancer invasion mathematical model with two distinct cancer sub-populations	26
Semi-implicit Lax-Wendroff kinetic scheme for multi-scale phonon transport	26
The RBF partition of unity method for a 2D time-fractional parabolic equation	26
Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints	26
Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a	26
The fundamental solution element method based on irregular polygonal meshes	25
A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model	25
A mixed virtual element method for the two-dimensional Navier-Stokes equations in stream-function formulation	24
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
IgA and subgrid method	23
A novel localized collocation solver based on a radial Trefftz basis for thermal conduction analysis in FGMs with exponential variations	23
Two unconditionally energy stable schemes for the Cahn-Hilliard equation	23
A novel high efficiency adaptive mapped WENO scheme	23
A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model	23
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
MC-CDNNs: The Monte Carlo-coupled deep neural networks approach for stochastic dual-porosity-Stokes flow coupled model	21
Quadrature error estimates for kernels with logarithmic singularity	21
Superconvergence analysis of finite element method for nonlinear semiconductor device problem	21
Editorial Board	21
Two efficient compact ADI methods for the two-dimensional fractional Oldroyd-B model	21
An unconditionally stable modified leapfrog method for Maxwell's equation in Kerr-type nonlinear media	21
Editorial Board	21
An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations	21
Kalman filter temperature estimation with a photoacoustic observation model during the hyperthermia treatment of cancer	21
A Kronecker product linear-cost solver for the high-order generalized-α method for multi-dimensional hyperbolic systems	21

An efficient full-wave solver for eddy currents	21
Numerical study of two-dimensional Burgers' equation by using a continuous Galerkin method	20
A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving	20
Highly efficient variant of SAV approach for the incompressible multi-component phase-field fluid models	20
A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes	20
Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems	19
An efficient reduced-order approximation for the stochastic Allen-Cahn equation	19
A reduced-order method for geometrically nonlinear analysis of the wing-upper-skin panels in the presence of buckling	19
Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs	19
Accurate and parallel simulation of the anisotropic dendrite crystal growth by Lagrangian data assimilation with directional operator splitting	19
AdaPW: An adaptive point-weighting method for training physics-informed neural networks	19
Hybrid approaches for the inverse source identification problem in a known penetrable obstacle from far-field data	19
A finite particle method based on a Riemann solver for modeling incompressible flows	19
Comparison of several interpolation methods to reconstruct field data in the vicinity of a finite element immersed boundary	19
A bilateral preconditioning for an L2-type all-at-once system from time-space non-local evolution equations with a weakly singular kernel	19
Unconditional superconvergence analysis of a novel energy dissipation nonconforming Crank-Nicolson FEM for Sobolev equations with high order Burgers' type nonlinearity	19
L2 error estimates for a family of cubic finite volume methods on triangular meshes	18
An enhanced moving particle semi-implicit method for simulation of incompressible fluid flow and fluid-structure interaction	18
Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem	18
A fully discrete spectral scheme for time fractional Cahn-Hilliard equation with initial singularity	18
A posteriori error estimates for the DD+L2 jumps method on the neutron diffusion equations	18
Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation	18
A new parallel algorithm with high-order finite difference scheme for solving the Helmholtz equation in two and three dimensions	18
An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker–Planck equations	18
General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation	18
A thermodynamically consistent diffuse interface model for multi-component two-phase flow with partial miscibility	18
A simplified lattice Boltzmann implementation of the quasi-static approximation in pipe flows under the presence of non-uniform magnetic fields	17
Aubin–Nitsche-type estimates for space-time FOSLS for parabolic PDEs	17
A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction	17
Equilibrated flux a posteriori error estimates and adaptivity for nonlinear and doubly degenerate elliptic problems	17
Numerical analysis of fractional viscoelastic fluid problem solved by finite difference scheme	17
Meshless and FEM approximations for mixed polytopal elements	16
A novel numerical scheme for Black-Scholes PDEs modeling pricing securities	16
A hybrid solution method for an inverse problem for the general transport equation	16
Editorial Board	16
Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on L2 errors	16
Unconditionally energy stable ESAV-VEM schemes with variable time steps for the time fractional Allen-Cahn equation	16
Editorial Board	16
Hamiltonian-preserving schemes for the two-dimensional fractional nonlinear Schrödinger wave equations	16
A new decoupled unconditionally stable scheme and its optimal error analysis for the Cahn-Hilliard-Navier-Stokes equations	16
Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information	16
A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model	16
Supermodeling, a convergent data assimilation meta-procedure used in simulation of tumor progression	15
Editorial Board	15
L1 scheme for solving an inverse problem subject to a fractional diffusion equation	15
H1-norm error analysis of an ADI compact finite difference method for a two-dimensional time-fractional reaction-diffusion equation with variable coefficients	15
Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation	15
A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems	15
A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods	15
Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative	15
Editorial Board	15
Modelling and simulation of radiative heat transfer in non-grey absorbing and emitting media under phase change	15
Uniform stability of the SUPG method for the evolutionary convection–diffusion–reaction equation	15
A priori and a posteriori error estimates for hp-FEM for a Bingham type variational inequality of the second kind	15
Solving the inverse scattering problem via Carleman-based contraction mapping	14
A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean	14
A computationally efficient strategy for time-fractional diffusion-reaction equations	14
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations	14
Generative adversarial physics-informed neural networks for solving forward and inverse problem with small labeled samples	14
Regularization techniques for estimating the space-dependent source in an n-dimensional linear parabolic equation using space-dependent noisy data	14
A numerical study of drop evaporation at high density ratios using Front-Tracking method	14
Nonlocal Cahn-Hilliard type model for image inpainting	14
Simulating natural patterns via space-time accurate barycentric collocation methods for nonlinear PDEs	14
A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles	14
A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction	14
Level set-fitted polytopal meshes with application to structural topology optimization	14
Convolutional autoencoders, clustering, and POD for low-dimensional parametrization of flow equations	14
Virtual element approximation of two-dimensional parabolic variational inequalities	14
A parallel finite element method based on fully overlapping domain decomposition for the steady-state Smagorinsky model	14
A flux solver based on discrete Boltzmann method for compressible flows with nonequilibrium effects	14
Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation	14
An accurate, robust, and efficient weak Galerkin finite element scheme with graded meshes for the time-fractional quasi-linear diffusion equation	14
Nonlocal p-Laplacian involving a nonlinear fractional reaction-diffusion system applied to image restoration	14
Analysis and simulation of sparse optimal control of the monodomain model	13
Multi-material topology optimization of thermoelastic structures by an ordered SIMP-based phase field model	13
Integral transform technique for determining stress intensity factor in wave propagation through functionally graded piezoelectric-viscoelastic structure	13
Robust iterative spectral algorithms for smooth solutions of time-fractional nonlinear diffusion problems and convergence analysis	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
Algebraic spectral analysis of the DSSR preconditioner	13
Direct cumulant lattice Boltzmann simulations of transitional flow in gyroidal structures including experimental validation	13

Editorial Board	13
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients	13
Convergence of a simple discretization of the finite Hilbert transformation	13
A local weak form of the generalized finite difference method (GFDM) with control volume in heat conduction problems	13
Phase field smoothing-PINN: A neural network solver for partial differential equations with discontinuous coefficients	13
EM propagation analysis of multilayered fully anisotropic media with an efficacious model equivalent approach	13
Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems	13
On high-order finite element solution of eigenvalue problems on isospectral surfaces	13
A stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation	13
Performance evaluation of flux-reconstruction schemes in the discrete unified gas-kinetic scheme for low-speed continuum flows	13
A high-order discontinuous Galerkin method for the numerical modeling of epileptic seizures	13
Approximate deconvolution discretisation	13
Computational study of magneto-convective non-Newtonian nanofluid slip flow over a stretching/shrinking sheet embedded in a porous medium	13
Spatiotemporal numerical simulation of breast cancer tumors in one-dimensional nonlinear moving boundary models via temporal-spatial spectral collocation method	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
Space-time unfitted finite element methods for time-dependent problems on moving domains	12
A machine-learning enabled framework for quantifying uncertainties in parameters of computational models	12
A DPG method for the quad-curl problem	12
Discontinuous Galerkin finite element method for a fourth order parabolic variational inequality	12
The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques	12
A hybrid reduced-order model for segregated fluid-structure interaction solvers in an ALE approach at high Reynolds number	12
Split-step quintic uniform algebraic trigonometric tension b-spline collocation method for cubic Ginzburg-Landau equations	12
Numerical approximation of a potentials formulation for the elasticity vibration problem	12
Approximate controllability of linear parabolic equation with memory	12
Meshless Galerkin analysis of the generalized Stokes problem	12
A geometry aware arbitrary order collocation boundary element method solver for the potential flow past three dimensional lifting surfaces	11
A hybrid GFDM-DPIM solver for the stochastic response analysis of plate structures	11
Innovative discretizations of PDEs: Towards an accurate representation of the reality	11
An adaptive solution strategy for Richards' equation	11
PINN-DTC: Adaptive partitioning of physics-informed neural network for designing thermal cloak	11
A mass and charge conservative fully discrete scheme for a 3D diffuse interface model of the two-phase inductionless MHD flows	11
A fast compact ADI method for the generalized two-dimensional fractional Oldroyd-B type fluid model	11
Convergence analysis of an energy-stable linearized virtual element method for the strongly damped Klein-Gordon equation	11
Editorial Board	11
An operator splitting method for multi-asset options with the Feynman-Kac formula	11
Hybrid non-convex regularizers model for removing multiplicative noise	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
Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach	11
An immersed weak Galerkin method for elliptic interface problems on polygonal meshes	11
Editorial Board	11
Modified preconditioned Newton-Krylov approaches for Navier-Stokes equations using nodal integral method	11
Bivariate collocation for computing R0 in epidemic models with two structures	11
Convergence analysis of virtual element method for the electric interface model on polygonal meshes with small edges	11
A subspace method based on the Neumann series for the solution of parametric linear systems	11
Modified couple stress-based finite element model for analysis of partially supported 2D-FG sandwich microbeams with variable material length scale parameters	11
A finite element level-set method for stress-based topology optimization of plate structures	11
An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model	11
Global numerical analysis of an improved IMEX numerical scheme for a reaction diffusion SIS model in advective heterogeneous environments	11
On the convergence rate of the splitting-up scheme for rough partial differential equations	11
Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system	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
Generating probability distributions on intervals and spheres: Convex decomposition	10
Multi-patch parameterization method for isogeometric analysis using singular structure of cross-field	10
Hybrid meshless method for solving inhomogeneous polyharmonic equations	10
A qualitative analysis of bifocusing method for a real-time anomaly detection in microwave imaging	10
Keller box simulation of magnetic pseudoplastic nano-polymer coating flow over a circular cylinder with entropy optimisation	10
A new third-order energy stable technique and error estimate for the extended Fisher–Kolmogorov equation	10
Numerical solutions of the nonlinear wave equations with energy-preserving sixth-order finite difference schemes	10
Parameter-free preconditioning for nearly-incompressible linear elasticity	10
Editorial Board	10
Numerical solution of optimal control of atherosclerosis using direct and indirect methods with shooting/collocation approach	10
Space-time finite element analysis of the advection-diffusion equation using Galerkin/least-square stabilization	10
Numerical aspects of Casimir energy computation in acoustic scattering	10
A space-time discretization of a nonlinear peridynamic model on a 2D lamina	10
High-order analysis of lattice Boltzmann models for the conservative Allen-Cahn equation	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
Effects of prefilmer edge configuration on primary liquid film breakup: A lattice Boltzmann study	10
Convergence of a meshless numerical method for a chemotaxis system with density-suppressed motility	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
Computational aspects of electromagnetic tomography	10
Editorial Board	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
Efficient discretization of fractional SPDEs via Galerkin and exponential Euler methods	10
Investigating the impact of vessel geometry on cerebral aneurysm formation using multi-phase blood flow models	10
An efficient implementation of nodal discontinuous Galerkin lattice Boltzmann method and validation for direct numerical simulation of turbulent flows	10
A hybrid high-order method for Sobolev equation with convection-dominated term	10
Robust high-order unfitted finite elements by interpolation-based discrete extension	10
Numerical methods and analysis for magnetohydrodynamics slip flow and heat transfer of Jeffrey nanofluid with tempered fractional constitutive relationship	10
A high order Path-Conservative Central-Upwind Arbitrary DERivative (PCCU-ADER) method for a generalized high order sediment transport model	10
A Lagrange multiplier method for fluid-structure interaction: Well-posedness and domain decomposition	10
Editorial Board	10
A compact radial basis function partition of unity method	10
A lowest-order locking-free nonconforming virtual element method based on the reduced integration technique for linear elasticity problems	10
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation	10
Drug delivery to the anterior segment of the eye enhanced by ultrasound - modeling and simulation	10
Modified wave dispersion properties in 1D and 2D state-based peridynamic media	10
Editorial Board	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 class of monotone and structure-preserving Du Fort-Frankel schemes for nonlinear Allen-Cahn equation	9
Solving the Monge-Ampère equation via Poisson series physics-informed neural networks and its convergence analysis	9