Computers & Mathematics With Applications

Article	Citations
Editorial Board	147
An efficient computational framework for data assimilation of fractional-order dynamical system with sparse observations	92
Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemes	79
Directional enrichment functions for finite element solutions of transient anisotropic diffusion	70
Editorial Board	68
A mixed finite element method for pricing American options and Greeks in the Heston model	64
Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	62
A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting	56
Editorial Board	53
An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations	52
Optimal staggered-grid finite-difference method for wave modeling based on artificial neural networks	47
Positivity-preserving DDFV scheme for compressible two-phase flow in porous media	46
Theoretical analysis and numerical scheme of local conservative characteristic finite difference for 2-d advection diffusion equations	44
A decoupled, convergent and fully linear algorithm for the Landau–Lifshitz–Gilbert equation with magnetoelastic effects	44
Numerical solutions of an option pricing rainfall weather derivatives model	42
Non intrusive reduced order modeling of parametrized PDEs by kernel POD and neural networks	38
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem	37
Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations	35
A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates	34
An implicit lattice Boltzmann flux solver for simulation of compressible flows	34
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes	34
A two-level multiphysics finite element method for a nonlinear poroelasticity model	33
A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: A priori and a posteriori analysis	31
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model	30
Unconditionally stable and parallel Discontinuous Galerkin solver	30

Optimal investigation of the reheating furnace based on a 3D numerical model with the formation of both oxide scale layer and skid marks	30
Editorial Board	29
Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type	28
BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions	27
A boundary integral method to investigate pattern formation in a rotating Hele-Shaw cell with time dependent gap	27
Fully discrete scheme for a time-dependent Ginzburg-Landau equation in macromolecular microsphere composite hydrogels	27
A non-uniform magnetic field coupled lattice Boltzmann model and its application on the wetting dynamics of a ferrofluid droplet under gravity effects	25
A phase-field-based multiple-relaxation-time lattice Boltzmann method for incompressible multiphase flows with density and viscosity contrasts	25
Mixed virtual element methods for the poro-elastodynamics model on polygonal grids	25
Evaluation of novel wall function approach for supersonic flow problems involving separations induced by geometry and shocks	25
Adaptive stabilized finite elements via residual minimization onto bubble enrichments	24
A novel Hermite spectral element method for elliptic interface eigenvalue problems	24
Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect	24
Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian	24
Adaptive total variational regularization of Gaussian denoisers for multiplicative noise removal	24
Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation	24
A vectorial envelope Maxwell formulation for electromagnetic waveguides with application to nonlinear fiber optics	23
A unified spectral-geometric model of FGM double conical/cylindrical/spherical shell coupled with annular plates	23
Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model	23
An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture	23
Variable separated physics-informed neural networks based on adaptive weighted loss functions for blood flow model	23
Numerical simulation of a non-linear sublimation process with temperature-dependent permeability and volumetric heat source: A phase change problem	22
Editorial Board	22
Boundary integral formulations for acoustic modelling of high-contrast media	22
A two-parameter shift-splitting preconditioner for saddle point problems	22
The fundamental solution element method based on irregular polygonal meshes	21
A decoupled stabilized finite element method for nonstationary stochastic shale oil model based on superhydrophobic material modification	21
A mixed virtual element method for the two-dimensional Navier-Stokes equations in stream-function formulation	21
A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model	21
Scalable fully implicit methods for subsurface flows in porous media with fractional derivative	21
Semi-implicit Lax-Wendroff kinetic scheme for multi-scale phonon transport	21
An enhanced moving particle semi-implicit method for simulation of incompressible fluid flow and fluid-structure interaction	21
Numerical study of two-dimensional Burgers' equation by using a continuous Galerkin method	20
Numerical analysis of fractional viscoelastic fluid problem solved by finite difference scheme	20
Two efficient compact ADI methods for the two-dimensional fractional Oldroyd-B model	20
Accurate and parallel simulation of the anisotropic dendrite crystal growth by Lagrangian data assimilation with directional operator splitting	20
Rot-div mixed finite element method of two dimensional Hodge Laplacian problem	20
A simplified lattice Boltzmann implementation of the quasi-static approximation in pipe flows under the presence of non-uniform magnetic fields	19
Editorial Board	19
A finite particle method based on a Riemann solver for modeling incompressible flows	19
Editorial Board	19
Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems	19
Superconvergence analysis of finite element method for nonlinear semiconductor device problem	19
Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem	19
A Kronecker product linear-cost solver for the high-order generalized-α method for multi-dimensional hyperbolic systems	19
PIES for 2D elastoplastic problems with singular plastic strain fields	19
An efficient full-wave solver for eddy currents	18
A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction	18
Efficient discretization and preconditioning of the singularly perturbed reaction-diffusion problem	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
L2 error estimates for a family of cubic finite volume methods on triangular meshes	18
A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes	18
A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving	18
A novel high efficiency adaptive mapped WENO scheme	18
Highly efficient variant of SAV approach for the incompressible multi-component phase-field fluid models	17
Critical functions and inf-sup stability of Crouzeix-Raviart elements	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
AdaPW: An adaptive point-weighting method for training physics-informed neural networks	17
An unconditionally stable modified leapfrog method for Maxwell's equation in Kerr-type nonlinear media	17
Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints	17
A bilateral preconditioning for an L2-type all-at-once system from time-space non-local evolution equations with a weakly singular kernel	16
Adaptive space-time BEM for the heat equation	16
Comparison of several interpolation methods to reconstruct field data in the vicinity of a finite element immersed boundary	16
Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs	16
An easy to implement numerical framework for a cancer invasion mathematical model with two distinct cancer sub-populations	16
An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker–Planck equations	16
Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a	16
Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation	16
Finite volume element method for nonlinear elliptic equations on quadrilateral meshes	16
A novel localized collocation solver based on a radial Trefftz basis for thermal conduction analysis in FGMs with exponential variations	15
Unconditional superconvergence analysis of a novel energy dissipation nonconforming Crank-Nicolson FEM for Sobolev equations with high order Burgers' type nonlinearity	15
A new parallel algorithm with high-order finite difference scheme for solving the Helmholtz equation in two and three dimensions	15
MC-CDNNs: The Monte Carlo-coupled deep neural networks approach for stochastic dual-porosity-Stokes flow coupled model	15
Kalman filter temperature estimation with a photoacoustic observation model during the hyperthermia treatment of cancer	15
A fully discrete spectral scheme for time fractional Cahn-Hilliard equation with initial singularity	15
A reduced-order method for geometrically nonlinear analysis of the wing-upper-skin panels in the presence of buckling	15
An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations	15
The RBF partition of unity method for a 2D time-fractional parabolic equation	14
A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems	14
Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems	14
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations	14
Editorial Board	14
A flux solver based on discrete Boltzmann method for compressible flows with nonequilibrium effects	14
A hybrid solution method for an inverse problem for the general transport equation	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
Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation	14
Supermodeling, a convergent data assimilation meta-procedure used in simulation of tumor progression	14
A parallel finite element method based on fully overlapping domain decomposition for the steady-state Smagorinsky model	14
Aubin–Nitsche-type estimates for space-time FOSLS for parabolic PDEs	14
Editorial Board	14
A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles	14
Editorial Board	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
Editorial Board	13
Editorial Board	13
An accurate, robust, and efficient weak Galerkin finite element scheme with graded meshes for the time-fractional quasi-linear diffusion equation	13
A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction	13
Uniform stability of the SUPG method for the evolutionary convection–diffusion–reaction equation	13
Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems	13
Nonlocal p-Laplacian involving a nonlinear fractional reaction-diffusion system applied to image restoration	13
Editorial Board	13
H1-norm error analysis of an ADI compact finite difference method for a two-dimensional time-fractional reaction-diffusion equation with variable coefficients	13
Direct cumulant lattice Boltzmann simulations of transitional flow in gyroidal structures including experimental validation	13
Level set-fitted polytopal meshes with application to structural topology optimization	13
A new decoupled unconditionally stable scheme and its optimal error analysis for the Cahn-Hilliard-Navier-Stokes equations	13
A priori and a posteriori error estimates for hp-FEM for a Bingham type variational inequality of the second kind	13
Hamilton–Jacobi–Bellman–Isaacs equation for rational inattention in the long-run management of river environments under uncertainty	13
Computational study of magneto-convective non-Newtonian nanofluid slip flow over a stretching/shrinking sheet embedded in a porous medium	13
A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods	13
Virtual element approximation of two-dimensional parabolic variational inequalities	13
Regularization techniques for estimating the space-dependent source in an n-dimensional linear parabolic equation using space-dependent noisy data	13
A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model	13
A computationally efficient strategy for time-fractional diffusion-reaction equations	13
A stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation	12
Numerical solutions of multidimensional nonlinear hyperbolic partial integro-differential equations using a redefined cubic B-spline-based differential quadrature method	12
Parameter dependent finite element analysis for ferronematics solutions	12
L1 scheme for solving an inverse problem subject to a fractional diffusion equation	12
Unconditionally energy stable ESAV-VEM schemes with variable time steps for the time fractional Allen-Cahn equation	12
A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean	12
Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative	12
Analysis and simulation of sparse optimal control of the monodomain model	12
Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach	12
Convergence of a simple discretization of the finite Hilbert transformation	12
A machine-learning enabled framework for quantifying uncertainties in parameters of computational models	12
Generative adversarial physics-informed neural networks for solving forward and inverse problem with small labeled samples	12

A novel numerical scheme for Black-Scholes PDEs modeling pricing securities	12
Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation	12
Nonlocal Cahn-Hilliard type model for image inpainting	12
Simulating natural patterns via space-time accurate barycentric collocation methods for nonlinear PDEs	12
Meshless Galerkin analysis of the generalized Stokes problem	12
Robust iterative spectral algorithms for smooth solutions of time-fractional nonlinear diffusion problems and convergence analysis	12
On high-order finite element solution of eigenvalue problems on isospectral surfaces	12
Integral transform technique for determining stress intensity factor in wave propagation through functionally graded piezoelectric-viscoelastic structure	12
Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information	12
A numerical study of drop evaporation at high density ratios using Front-Tracking method	12
Convolutional autoencoders, clustering, and POD for low-dimensional parametrization of flow equations	12
Two-grid finite volume element method for the time-dependent Schrödinger equation	12
Editorial Board	12
PINN-DTC: Adaptive partitioning of physics-informed neural network for designing thermal cloak	12
Multi-material topology optimization of thermoelastic structures by an ordered SIMP-based phase field model	12
Editorial Board	11
Approximate controllability of linear parabolic equation with memory	11
Spatiotemporal numerical simulation of breast cancer tumors in one-dimensional nonlinear moving boundary models via temporal-spatial spectral collocation method	11
The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques	11
Modified couple stress-based finite element model for analysis of partially supported 2D-FG sandwich microbeams with variable material length scale parameters	11
Algebraic spectral analysis of the DSSR preconditioner	11
Hybrid non-convex regularizers model for removing multiplicative noise	11
Phase field smoothing-PINN: A neural network solver for partial differential equations with discontinuous coefficients	11
An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model	11
A local weak form of the generalized finite difference method (GFDM) with control volume in heat conduction problems	11
A finite element level-set method for stress-based topology optimization of plate structures	11
An efficient neural network method with plane wave activation functions for solving Helmholtz equation	11
A DPG method for the quad-curl problem	11
Editorial Board	11
Numerical approximation of a potentials formulation for the elasticity vibration problem	11
Femurs segmentation by machine learning from CT scans combined with autonomous finite elements in orthopedic and endocrinology applications	11
Split-step quintic uniform algebraic trigonometric tension b-spline collocation method for cubic Ginzburg-Landau equations	11
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients	11
Approximate deconvolution discretisation	11
Drug delivery enhanced by ultrasound: Mathematical modeling and simulation	10
Innovative discretizations of PDEs: Towards an accurate representation of the reality	10
Melting effect on Cattaneo–Christov and thermal radiation features for aligned MHD nanofluid flow comprising microorganisms to leading edge: FEM approach	10
An adaptive solution strategy for Richards' equation	10
Multi-patch parameterization method for isogeometric analysis using singular structure of cross-field	10
Bivariate collocation for computing R0 in epidemic models with two structures	10
A hybrid high-order method for Sobolev equation with convection-dominated term	10
A qualitative analysis of bifocusing method for a real-time anomaly detection in microwave imaging	10
Space-time finite element analysis of the advection-diffusion equation using Galerkin/least-square stabilization	10
Optimal convergence rates in L2 for a first order system least squares finite element method - part II: Inhomogeneous Robin boundary conditions	10
Keller box simulation of magnetic pseudoplastic nano-polymer coating flow over a circular cylinder with entropy optimisation	10
A Lagrange multiplier method for fluid-structure interaction: Well-posedness and domain decomposition	10
Improved-FSDT-based solid-shell element for buckling analysis of plate, spherical cap, and cylindrical shell of FG porous materials	10
A mass and charge conservative fully discrete scheme for a 3D diffuse interface model of the two-phase inductionless MHD flows	10
Hybrid meshless method for solving inhomogeneous polyharmonic equations	10
Editorial Board	10
Re-examining the partially saturated-cells method for incompressible flows with stationary and moving bodies	10
A high order Path-Conservative Central-Upwind Arbitrary DERivative (PCCU-ADER) method for a generalized high order sediment transport model	10
Machine learning-based WENO5 scheme	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
Efficient asymptotic models for axisymmetric eddy current problems in linear ferromagnetic materials	10
A subspace method based on the Neumann series for the solution of parametric linear systems	10
A hybrid reduced-order model for segregated fluid-structure interaction solvers in an ALE approach at high Reynolds number	10
Space-time unfitted finite element methods for time-dependent problems on moving domains	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
Convergence analysis of an energy-stable linearized virtual element method for the strongly damped Klein-Gordon equation	10
Homogenization of large deforming fluid-saturated porous structures	10
An operator splitting method for multi-asset options with the Feynman-Kac formula	10
Editorial Board	10
Editorial Board	10
On the convergence rate of the splitting-up scheme for rough partial differential equations	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
Editorial Board	9
A space-time discretization of a nonlinear peridynamic model on a 2D lamina	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
Numerical aspects of Casimir energy computation in acoustic scattering	9
Numerical treatment of multi-dimensional time-fractional Benjamin-Bona-Mahony-Burgers equations in arbitrary domains with a novel improvised RBF-based method	9
Robust high-order unfitted finite elements by interpolation-based discrete extension	9
An efficient implementation of nodal discontinuous Galerkin lattice Boltzmann method and validation for direct numerical simulation of turbulent flows	9
Editorial Board	9
Effects of prefilmer edge configuration on primary liquid film breakup: A lattice Boltzmann study	9
An immersed weak Galerkin method for elliptic interface problems on polygonal meshes	9
Modular parametric PGD enabling online solution of partial differential equations	9
Efficient discretization of fractional SPDEs via Galerkin and exponential Euler methods	9
Physical informed neural networks with soft and hard boundary constraints for solving advection-diffusion equations using Fourier expansions	9
A hybrid GFDM-DPIM solver for the stochastic response analysis of plate structures	9
Numerical solutions of the nonlinear wave equations with energy-preserving sixth-order finite difference schemes	9
Global mean-square exponential stability and random periodicity of discrete-time stochastic inertial neural networks with discrete spatial diffusions and Dirichlet boundary condition	9
Convergence of a meshless numerical method for a chemotaxis system with density-suppressed motility	9
Improving the staircase approximation for wettability implementation of phase-field model: Part 2 – Three-component permeation	9
Editorial Board	9
Editorial Board	9
A lowest-order locking-free nonconforming virtual element method based on the reduced integration technique for linear elasticity problems	9
Online estimation of inlet contaminant concentration using Eulerian-Lagrangian method of fundamental solutions and Bayesian inference	9
Constrained maximization of conformal capacity	9
High-order analysis of lattice Boltzmann models for the conservative Allen-Cahn equation	9
Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system	9
Global numerical analysis of an improved IMEX numerical scheme for a reaction diffusion SIS model in advective heterogeneous environments	9
Modified preconditioned Newton-Krylov approaches for Navier-Stokes equations using nodal integral method	9