Computers & Mathematics With Applications

Article	Citations
Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian	134
Numerical study of the non-conservative NET-RAT traffic flow model by path-conservative central-upwind schemes	69
Editorial Board	65
Theoretical analysis and numerical scheme of local conservative characteristic finite difference for 2-d advection diffusion equations	65
Editorial Board	62
An efficient computational framework for data assimilation of fractional-order dynamical system with sparse observations	57
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	50
A boundary integral method to investigate pattern formation in a rotating Hele-Shaw cell with time dependent gap	49
Evaluation of novel wall function approach for supersonic flow problems involving separations induced by geometry and shocks	41
A non-uniform magnetic field coupled lattice Boltzmann model and its application on the wetting dynamics of a ferrofluid droplet under gravity effects	41
Mixed virtual element methods for the poro-elastodynamics model on polygonal grids	40
An implicit lattice Boltzmann flux solver for simulation of compressible flows	39
Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes	37
A partitioned solver for compressible/incompressible fluid flow and light structure	37
Variable separated physics-informed neural networks based on adaptive weighted loss functions for blood flow model	35
Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect	34
A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates	33
An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations	33
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
An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture	32
A locking-free and mass conservative H(div) conforming DG method for the Biot's consolidation model	31
Boundary integral formulations for acoustic modelling of high-contrast media	31

A two-level multiphysics finite element method for a nonlinear poroelasticity model	30
Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model	29
Symmetric fractional order reduction method with L1 scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type	29
On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations	27
A weighted POD-reduction approach for parametrized PDE-constrained optimal control problems with random inputs and applications to environmental sciences	27
Optimal staggered-grid finite-difference method for wave modeling based on artificial neural networks	27
Unconditionally stable and parallel Discontinuous Galerkin solver	26
Fully discrete scheme for a time-dependent Ginzburg-Landau equation in macromolecular microsphere composite hydrogels	24
Adaptive stabilized finite elements via residual minimization onto bubble enrichments	24
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem	23
BDF2 ADI orthogonal spline collocation method for the fractional integro-differential equations of parabolic type in three dimensions	23
Deep ReLU networks and high-order finite element methods II: Chebyšev emulation	23
Adaptive total variational regularization of Gaussian denoisers for multiplicative noise removal	23
Numerical solutions of an option pricing rainfall weather derivatives model	23
Directional enrichment functions for finite element solutions of transient anisotropic diffusion	23
A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting	22
Non intrusive reduced order modeling of parametrized PDEs by kernel POD and neural networks	22
A two-parameter shift-splitting preconditioner for saddle point problems	22
Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation	22
A unified spectral-geometric model of FGM double conical/cylindrical/spherical shell coupled with annular plates	22
Two-level Picard coupling correction finite element method based on charge-conservation for stationary inductionless magnetohydrodynamic equations	22
A novel high efficiency adaptive mapped WENO scheme	21
A new parallel algorithm with high-order finite difference scheme for solving the Helmholtz equation in two and three dimensions	21
Editorial Board	21
Numerical simulation of a non-linear sublimation process with temperature-dependent permeability and volumetric heat source: A phase change problem	21
Finite volume element method for nonlinear elliptic equations on quadrilateral meshes	21
A parareal algorithm for a highly oscillating Vlasov-Poisson system with reduced models for the coarse solving	21
Optimal investigation of the reheating furnace based on a 3D numerical model with the formation of both oxide scale layer and skid marks	21
A reduced-order method for geometrically nonlinear analysis of the wing-upper-skin panels in the presence of buckling	20
A reduced-order finite element method based on POD for the incompressible miscible displacement problem	20
Highly efficient variant of SAV approach for the incompressible multi-component phase-field fluid models	20
Unconditional superconvergence analysis of a novel energy dissipation nonconforming Crank-Nicolson FEM for Sobolev equations with high order Burgers' type nonlinearity	20
A reproducing kernel particle method (RKPM) algorithm for solving the tropical Pacific Ocean model	20
A multi-level parallel algorithm for seismic imaging based on one-way wave equation migration	19
Adaptive space-time BEM for the heat equation	19
An efficient full-wave solver for eddy currents	19
A mixed virtual element method for the two-dimensional Navier-Stokes equations in stream-function formulation	19
Superconvergence analysis of finite element method for nonlinear semiconductor device problem	19
A decoupled stabilized finite element method for nonstationary stochastic shale oil model based on superhydrophobic material modification	19
An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker–Planck equations	18
Data-driven vortex solitons and parameter discovery of 2D generalized nonlinear Schrödinger equations with a	18
PIES for 2D elastoplastic problems with singular plastic strain fields	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
On the simulation of image-based cellular materials in a meshless style	18
The fundamental solution element method based on irregular polygonal meshes	18
Virtual element method on polyhedral meshes for bi-harmonic eigenvalues problems	18
A simplified lattice Boltzmann implementation of the quasi-static approximation in pipe flows under the presence of non-uniform magnetic fields	18
Semi-implicit Lax-Wendroff kinetic scheme for multi-scale phonon transport	18
Efficient discretization and preconditioning of the singularly perturbed reaction-diffusion problem	18

A Kronecker product linear-cost solver for the high-order generalized-α method for multi-dimensional hyperbolic systems	18
Rot-div mixed finite element method of two dimensional Hodge Laplacian problem	17
A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model	17
Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation	17
Numerical analysis of fractional viscoelastic fluid problem solved by finite difference scheme	17
The RBF partition of unity method for a 2D time-fractional parabolic equation	17
Supremum-norm a posteriori error control of quadratic discontinuous Galerkin methods for the obstacle problem	17
Editorial Board	17
Battling Gibbs phenomenon: On finite element approximations of discontinuous solutions of PDEs	17
A finite particle method based on a Riemann solver for modeling incompressible flows	16
A bilateral preconditioning for an L2-type all-at-once system from time-space non-local evolution equations with a weakly singular kernel	16
General linear and spectral Galerkin methods for the nonlinear two-sided space distributed-order diffusion equation	16
A preservative splitting approximation of the solution of a variable coefficient quenching problem	16
A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes	16
Editorial Board	16
Two efficient compact ADI methods for the two-dimensional fractional Oldroyd-B model	15
An unconditionally stable modified leapfrog method for Maxwell's equation in Kerr-type nonlinear media	15
Comparison of several interpolation methods to reconstruct field data in the vicinity of a finite element immersed boundary	15
An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations	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	14
An enhanced moving particle semi-implicit method for simulation of incompressible fluid flow and fluid-structure interaction	14
A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction	14
Cell-vertex entropy-stable finite volume methods for the system of Euler equations on unstructured grids	14
Accurate and parallel simulation of the anisotropic dendrite crystal growth by Lagrangian data assimilation with directional operator splitting	14
Numerical study of two-dimensional Burgers' equation by using a continuous Galerkin method	14
Rothe method and numerical analysis for a new class of fractional differential hemivariational inequality with an application	14
A novel localized collocation solver based on a radial Trefftz basis for thermal conduction analysis in FGMs with exponential variations	14
Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints	14
Critical functions and inf-sup stability of Crouzeix-Raviart elements	14
Scalable fully implicit methods for subsurface flows in porous media with fractional derivative	14
A priori and a posteriori error estimates for hp-FEM for a Bingham type variational inequality of the second kind	13
Regularization techniques for estimating the space-dependent source in an n-dimensional linear parabolic equation using space-dependent noisy data	13
An accurate, robust, and efficient weak Galerkin finite element scheme with graded meshes for the time-fractional quasi-linear diffusion 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
Level set-fitted polytopal meshes with application to structural topology optimization	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
Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative	13
Uniform stability of the SUPG method for the evolutionary convection–diffusion–reaction equation	13
Generative adversarial physics-informed neural networks for solving forward and inverse problem with small labeled samples	13
Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation	13
A second-order adaptive time filter algorithm with different subdomain variable time steps for the evolutionary Stokes/Darcy model	13
Aubin–Nitsche-type estimates for space-time FOSLS for parabolic PDEs	13
A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems	13
Discrete unified gas kinetic scheme for incompressible Navier-Stokes equations	12
Two-grid finite volume element method for the time-dependent Schrödinger equation	12
Editorial Board	12
Editorial Board	12
A parallel finite element method based on fully overlapping domain decomposition for the steady-state Smagorinsky model	12
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations	12
A novel numerical scheme for Black-Scholes PDEs modeling pricing securities	12
Meshless symplectic and multi-symplectic scheme for the coupled nonlinear Schrödinger system based on local RBF approximation	12
Editorial Board	12
A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction	12
Editorial Board	12
Editorial Board	12
A computationally efficient strategy for time-fractional diffusion-reaction equations	12
Convolutional autoencoders, clustering, and POD for low-dimensional parametrization of flow equations	12
A numerical study of drop evaporation at high density ratios using Front-Tracking method	12
A new approach to constrained total variation solvation models and the study of solute-solvent interface profiles	12
Virtual element approximation of two-dimensional parabolic variational inequalities	12
A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods	12
Editorial Board	12
A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean	12
Editorial Board	12
Editorial Board	12
Hamiltonian-preserving schemes for the two-dimensional fractional nonlinear Schrödinger wave equations	12
Unconditionally energy stable ESAV-VEM schemes with variable time steps for the time fractional Allen-Cahn equation	12
Hamilton–Jacobi–Bellman–Isaacs equation for rational inattention in the long-run management of river environments under uncertainty	12
L1 scheme for solving an inverse problem subject to a fractional diffusion equation	12
Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on L2 errors	12
Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems	12
Least-squares formulations for eigenvalue problems associated with linear elasticity	12
Editorial Board	11
Nonlocal Cahn-Hilliard type model for image inpainting	11
Analysis and simulation of sparse optimal control of the monodomain model	11
Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information	11

Direct cumulant lattice Boltzmann simulations of transitional flow in gyroidal structures including experimental validation	11
Space-time unfitted finite element methods for time-dependent problems on moving domains	11
A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes	11
Integral transform technique for determining stress intensity factor in wave propagation through functionally graded piezoelectric-viscoelastic structure	11
Meshless Galerkin analysis of the generalized Stokes problem	11
An efficient neural network method with plane wave activation functions for solving Helmholtz equation	11
Editorial Board	11
Algebraic spectral analysis of the DSSR preconditioner	11
Computational study of magneto-convective non-Newtonian nanofluid slip flow over a stretching/shrinking sheet embedded in a porous medium	11
Robust iterative spectral algorithms for smooth solutions of time-fractional nonlinear diffusion problems and convergence analysis	11
A mass and charge conservative fully discrete scheme for a 3D diffuse interface model of the two-phase inductionless MHD flows	11
Hybrid non-convex regularizers model for removing multiplicative noise	11
The INTERNODES method for applications in contact mechanics and dedicated preconditioning techniques	11
Spatiotemporal numerical simulation of breast cancer tumors in one-dimensional nonlinear moving boundary models via temporal-spatial spectral collocation method	11
A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem	11
Time-stepping DPG formulations for the heat equation	11
Editorial Board	11
Supermodeling, a convergent data assimilation meta-procedure used in simulation of tumor progression	11
Nonlocal p-Laplacian involving a nonlinear fractional reaction-diffusion system applied to image restoration	11
Approximate controllability of linear parabolic equation with memory	11
Phase field smoothing-PINN: A neural network solver for partial differential equations with discontinuous coefficients	11
Multi-material topology optimization of thermoelastic structures by an ordered SIMP-based phase field model	11
Femurs segmentation by machine learning from CT scans combined with autonomous finite elements in orthopedic and endocrinology applications	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
A hybrid reduced-order model for segregated fluid-structure interaction solvers in an ALE approach at high Reynolds number	10
Generating probability distributions on intervals and spheres with application to finite element method	10
On high-order finite element solution of eigenvalue problems on isospectral surfaces	10
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients	10
Low-order nonconforming brick elements for the 3D Brinkman model	10
Approximate deconvolution discretisation	10
A hybrid high-order method for Sobolev equation with convection-dominated term	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
Melting effect on Cattaneo–Christov and thermal radiation features for aligned MHD nanofluid flow comprising microorganisms to leading edge: FEM approach	10
A DPG method for the quad-curl problem	10
An adaptive solution strategy for Richards' equation	10
Learning quantities of interest from parametric PDEs: An efficient neural-weighted Minimal Residual approach	10
A machine-learning enabled framework for quantifying uncertainties in parameters of computational models	10
A stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation	10
Innovative discretizations of PDEs: Towards an accurate representation of the reality	10
Editorial Board	10
A finite element level-set method for stress-based topology optimization of plate structures	10
Convergence of a simple discretization of the finite Hilbert transformation	10
An interpolation-based lattice Boltzmann method for non-conforming orthogonal meshes	10
An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model	10
Numerical approximation of a potentials formulation for the elasticity vibration problem	10
Numerical solution of optimal control of atherosclerosis using direct and indirect methods with shooting/collocation approach	10
Improved-FSDT-based solid-shell element for buckling analysis of plate, spherical cap, and cylindrical shell of FG porous materials	10
Drug delivery enhanced by ultrasound: Mathematical modeling and simulation	9
Robust high-order unfitted finite elements by interpolation-based discrete extension	9
Numerical treatment of multi-dimensional time-fractional Benjamin-Bona-Mahony-Burgers equations in arbitrary domains with a novel improvised RBF-based method	9
An operator splitting method for multi-asset options with the Feynman-Kac formula	9
An efficient implementation of nodal discontinuous Galerkin lattice Boltzmann method and validation for direct numerical simulation of turbulent flows	9
Editorial Board	9
Editorial Board	9
Machine learning-based WENO5 scheme	9
Numerical analysis of the diffusive-viscous wave equation	9
Numerical solutions of the nonlinear wave equations with energy-preserving sixth-order finite difference schemes	9
Editorial Board	9
A lowest-order locking-free nonconforming virtual element method based on the reduced integration technique for linear elasticity problems	9
A compact radial basis function partition of unity method	9
On the convergence rate of the splitting-up scheme for rough partial differential equations	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
Computational aspects of electromagnetic tomography	9
High-order analysis of lattice Boltzmann models for the conservative Allen-Cahn equation	9
A subspace method based on the Neumann series for the solution of parametric linear systems	9
Drug delivery to the anterior segment of the eye enhanced by ultrasound - modeling and simulation	9
Space-time finite element analysis of the advection-diffusion equation using Galerkin/least-square stabilization	9
Modified wave dispersion properties in 1D and 2D state-based peridynamic media	9
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation	9
Improving the staircase approximation for wettability implementation of phase-field model: Part 2 – Three-component permeation	9
Editorial Board	9
Parameter-free preconditioning for nearly-incompressible linear elasticity	9
Efficient asymptotic models for axisymmetric eddy current problems in linear ferromagnetic materials	9
Convergence analysis of virtual element method for the electric interface model on polygonal meshes with small edges	9
Physical informed neural networks with soft and hard boundary constraints for solving advection-diffusion equations using Fourier expansions	9
An immersed weak Galerkin method for elliptic interface problems on polygonal meshes	9
Keller box simulation of magnetic pseudoplastic nano-polymer coating flow over a circular cylinder with entropy optimisation	9
Investigation of nonlinear squeeze-film damping involving rarefied gas effect in micro-electro-mechanical systems	8
Investigating the impact of vessel geometry on cerebral aneurysm formation using multi-phase blood flow models	8
Efficient energy-preserving finite difference schemes for the Klein-Gordon-Schrödinger equations	8
A scalable well-balanced Taylor-Galerkin scheme for a lava flow depth-integrated model with point source vents	8
An efficient fourth-order structure-preserving scheme for the nonlocal Klein-Gordon-Schrödinger system	8
A decoupled, unconditionally energy stable and charge-conservative finite element method for inductionless magnetohydrodynamic equations	8
Time-fractional Cahn–Hilliard equation: Well-posedness, degeneracy, and numerical solutions	8
Online estimation of inlet contaminant concentration using Eulerian-Lagrangian method of fundamental solutions and Bayesian inference	8
The collocation spectral method with domain decomposition for radiative heat transfer in two-dimensional enclosures	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
Error analysis of the second-order BDF finite element scheme for the thermally coupled incompressible magnetohydrodynamic system	8
Improving the third-order WENO schemes by using exponential polynomial space with a locally optimized shape parameter	8
A priori and a posteriori error estimates of the weak Galerkin finite element method for parabolic problems	8
On full linear convergence and optimal complexity of adaptive FEM with inexact solver	8
Generalised heat kernel invariants of a graph and application to object clustering	8
A class of monotone and structure-preserving Du Fort-Frankel schemes for nonlinear Allen-Cahn equation	8