Applied Numerical Mathematics

Article	Citations
On high-order schemes for tempered fractional partial differential equations	65
Weak convergence of the L1 scheme for a stochastic subdiffusion problem driven by fractionally integrated additive noise	51
High-order spline finite element method for solving time-dependent electromagnetic waves	44
Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions	43
A finite volume method for a nonlocal thermistor problem	43
On the improvement of the triangular Shepard method by non conformal polynomial elements	41
An explicit stable finite difference method for the Allen–Cahn equation	39
A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity	37
Legendre wavelet method for fractional delay differential equations	37
Numerical solution of a hydrodynamic model with cavitation using finite difference method at arbitrary meshes	37
A space-time spectral method for solving the nonlinear Klein-Gordon equation	35
Global convergence of a descent PRP type conjugate gradient method for nonconvex optimization	34
A stabilized divergence-free virtual element scheme for the nematic liquid crystal flows	32
Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations	31
Weak Galerkin finite element method for linear poroelasticity problems	27
A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method	27
A fourth-order block-centered compact difference scheme for nonlinear contaminant transport equations with adsorption	27
Tamed Euler–Maruyama approximation of McKean–Vlasov stochastic differential equations with super-linear drift and Hölder diffusion coefficients	27
Fundamental solutions for the Stokes equations: Numerical applications for 2D and 3D flows	26
Multi-step Hermite-Birkhoff predictor-corrector schemes	26
Nonconforming virtual element methods for velocity-pressure Stokes eigenvalue problem	26
On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities	26
Optimal error estimates of the discrete shape gradients for shape optimizations governed by the Stokes-Brinkman equations	25
A new linearized second-order energy-stable finite element scheme for the nonlinear Benjamin-Bona-Mahony-Burgers equation	24
Editorial Board	24

Supercloseness of the NIPG method on a Bakhvalov-type mesh for a singularly perturbed problem with two small parameters	23
Optimal control for Darcy's equation in a heterogeneous porous media	22
Error analysis of positivity-preserving energy stable schemes for the modified phase field crystal model	22
Treatment of 3D diffusion problems with discontinuous coefficients and Dirac curvilinear sources	21
A uniformly convergent analysis for multiple scale parabolic singularly perturbed convection-diffusion coupled systems: Optimal accuracy with less computational time	20
Nonstaggered central scheme with steady-state discretization for solving the open channel flows via the flux globalization	19
A parameter-uniform hybrid method for singularly perturbed parabolic 2D convection-diffusion-reaction problems	19
Solution of two-dimensional elasticity problems using a high-accuracy boundary element method	18
Frame completion with prescribed norms via alternating projection method	18
Speckle noise removal via learned variational models	18
Difference finite element method for the 3D steady Stokes equations	17
Computing the matrix sine and cosine simultaneously with a reduced number of products	17
Quasi-uniform convergence analysis of rectangular Morley element for the singularly perturbed Bi-wave equation	17
A semi-discrete numerical scheme for nonlocally regularized KdV-type equations	16
Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation	16
Foundations of space-time finite element methods: Polytopes, interpolation, and integration	16
Diffraction integral computation using sinc approximation	16
The stabilized penalty-projection finite element method for the Navier-Stokes-Cahn-Hilliard-Oono system	16
Stability and convergence of 3-point WSGD schemes for two-sided space fractional advection-diffusion equations with variable coefficients	15
Editorial preface: Recent advances in numerical algebra with interdisciplinary applications	15
An unconditionally stable second-order linear scheme for the Cahn-Hilliard-Hele-Shaw system	15
Inexact block SSOR-like preconditioners for non-Hermitian positive definite linear systems of strong Hermitian parts	15
The mass-preserving solution-flux scheme for multi-layer interface parabolic equations	15
A posteriori error estimates and an adaptive finite element solution for the system of unsteady convection-diffusion-reaction equations in fluidized beds	15
A priori error estimates for finite element approximations of regularized level set flows in higher norms	15
A comparison of six numerical methods for integrating a compartmental Hodgkin-Huxley type model	14
Multilevel Picard approximations of high-dimensional semilinear partial differential equations with locally monotone coefficient functions	14
Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments	14
High order well-balanced conservative finite difference AWENO scheme with hydrostatic reconstruction for the Euler equations under gravitational fields	14
A fast proximal iteratively reweighted nuclear norm algorithm for nonconvex low-rank matrix minimization problems	14
Editorial Board	14
Energy-preserving methods for non-smooth nonlinear Schrödinger equations	13
Rigorous enclosures of solutions of Neumann boundary value problems	13
A sigmoid method for some nonlinear Fredholm integral equations of the second kind	13
Alternating direction method for the wave equation with integral boundary conditions	13
An efficient IMEX method for nonlinear functional differential equations with state-dependent delay	13
Bilateral XVA pricing under stochastic default intensity: PDE modelling and computation	13
Implicit-explicit second derivative general linear methods with strong stability preserving explicit part	13
PiTSBiCG: Parallel in time Stable Bi-Conjugate gradient algorithm	13
Convergence analysis of a conservative finite element scheme for the thermally coupled incompressible inductionless MHD problem	13
A 3D Haar wavelet method for a coupled degenerate system of parabolic equations with nonlinear source coupled with non-linear ODEs	13
Design and convergence analysis of some implicit inertial methods for quasi-variational inequalities via the Wiener–Hopf equations	13
Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes	13
Runge–Kutta–Nyström symplectic splitting methods of order 8	13
Parallel generalized Lagrange–Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints	13
An efficient algorithm based on the Pseudospectral method for solving Abel's integral equation using Hermite cubic spline scaling bases	12
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility	12
A mixed FEM for the coupled Brinkman–Forchheimer/Darcy problem	12
A linear, high-order, and unconditionally energy stable scheme for the epitaxial thin film growth model without slope selection	12
A hybrid approach for finding approximate solutions to constrained nonlinear monotone operator equations with applications	12

A Petrov-Galerkin finite element method using polyfractonomials to solve stochastic fractional differential equations	12
Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions	12
An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels	12
A numerical comparison of Galerkin and Collocation Isogeometric approximations of acoustic wave problems	12
Splitting extrapolation algorithms for solving linear delay Volterra integral equations with a spatial variable	12
Improved uniform error bounds on an exponential wave integrator method for the nonlinear Schrödinger equation with wave operator and weak nonlinearity	12
Positivity preserving stochastic θ-methods for selected SDEs	12
Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system	12
Numerical discretization for Fisher-Kolmogorov problem with nonlocal diffusion based on mixed Galerkin BDF2 scheme	11
An efficient iterative method for solving the graph regularization Q-weighted nonnegative matrix factorization problem in multi-view clustering	11
A dissipation-preserving scheme for damped oscillatory Hamiltonian systems based on splitting	11
Editorial Board	11
Editorial Board	11
A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics	11
A numerical method for the solution of nonlinear Volterra Hammerstein integral equations of the third-kind	11
Efficient spectral and spectral element methods for Sobolev equation with diagonalization technique	11
Fitted finite element methods for singularly perturbed elliptic problems of convection-diffusion type	11
BDM H(div) weak Galerkin finite element methods for Stokes equations	11
A spectral iterative algorithm for solving constrained optimal control problems with nonquadratic functional	11
A new analysis of Galerkin Legendre spectral methods for coupled hyperbolic/parabolic system arising in unsteady MHD flow of Maxwell fluid and numerical simulation	11
Local discontinuous Galerkin method for a nonlocal viscous water wave model	11
Strong convergence of the tamed Euler-Maruyama method for stochastic singular initial value problems with non-globally Lipschitz continuous coefficients	11
New decoupled method for the evolutionary dual-porosity-Stokes model with Beavers-Joseph interface conditions	11
Regularization with two differential operators and its application to inverse problems	11
Matrix transfer technique for anomalous diffusion equation involving fractional Laplacian	11
Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the unsteady thermally coupled magnetohydrodynamic equations with variable density	11
Efficient and conservative compact difference scheme for the coupled Schrödinger-Boussinesq equations	11
On the dynamics of first and second order GeCo and gBBKS schemes	11
Comparison of two finite element schemes for a chemo-repulsion system with quadratic production	11
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation	10
A modulus-based multigrid method for image retinex	10
An approach to adaptive refinement for the RBF-FD method for 2D elliptic equations	10
Convergence rate estimation of poly-Sinc-based discontinuous Galerkin methods	10
Comparison of exponential integrators and traditional time integration schemes for the shallow water equations	10
Some iterative approaches for Sylvester tensor equations, Part I: A tensor format of truncated Loose Simpler GMRES	10
Weighted chained graphs and some applications	10
Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations	10
Iterative approximation of fixed points and applications to two-point second-order boundary value problems and to machine learning	10
Transmission dynamics and sensitivity analysis of pine wilt disease with asymptomatic carriers via fractal-fractional differential operator of Mittag-Leffler kernel	10
Solving tensor absolute value equation	10
Communication in complex networks	10
A derivative-free RMIL conjugate gradient projection method for convex constrained nonlinear monotone equations with applications in compressive sensing	10
A three-term CGPM-based algorithm without Lipschitz continuity for constrained nonlinear monotone equations with applications	10
A new second-order modified hydrostatic reconstruction for the shallow water flows with a discontinuous topography	10
Analysis of the linearly energy- and mass-preserving finite difference methods for the coupled Schrödinger-Boussinesq equations	10
Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem	9
Iterative compact finite difference method for the numerical study of fully wet porous fins with different profile shapes	9
Iterative method for constrained systems of conjugate transpose matrix equations	9
Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix	9
Symbol based convergence analysis in block multigrid methods with applications for Stokes problems	9
Romanovski-Jacobi spectral schemes for high-order differential equations	9
Fractional graph Laplacian for image reconstruction	9
A splitting method for SDEs with locally Lipschitz drift: Illustration on the FitzHugh-Nagumo model	9
An efficient kernel-based method for solving nonlinear generalized Benjamin-Bona-Mahony-Burgers equation in irregular domains	9
High-order, unconditionally maximum-principle preserving finite element method for the Allen–Cahn equation	9
Hybrid mixed discontinuous Galerkin finite element method for incompressible miscible displacement problem	9
Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method	9
Explicit two-step peer methods with reused stages	9
On the implementation of explicit two-step peer methods with Runge–Kutta stability	9
Hermite–Birkhoff spline Quasi-Interpolation with application as dense output for Gauss–Legendre and Gauss–Lobatto Runge–Kutta schemes	9
An efficient iterative method for solving a class of constrained tensor least squares problem	9
A fast difference scheme for the variable coefficient time-fractional diffusion wave equations	9
A partially proximal S-ADMM for separable convex optimization with linear constraints	9
Computational modeling of early-stage breast cancer progression using TPFA method: A numerical investigation	9
A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator	9
An efficient matrix approach for the numerical solutions of electromagnetic wave model based on fractional partial derivative	9
Efficient numerical methods for semilinear one dimensional parabolic singularly perturbed convection-diffusion systems	9
Numerical method for boundary value problems on the real line	9
A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients	9
An inverse problem of determining the parameters in diffusion equations by using fractional physics-informed neural networks	8
A highly accurate algorithm for retrieving the predicted behavior of problems with piecewise-smooth initial data	8
A second-order unconditionally stable method for the anisotropic dendritic crystal growth model with an orientation-field	8
The weak Galerkin finite element method for Stokes interface problems with curved interface	8
Solving the two-dimensional time-dependent Schrödinger equation using the Sinc collocation method and double exponential transformations	8
Editorial Board	8
An accurate second-order ADI scheme for three-dimensional tempered evolution problems arising in heat conduction with memory	8
Integral equations method for solving a Biharmonic inverse problem in detection of Robin coefficients	8
A parallel exponential integrator scheme for linear differential equations	8
Editorial Board	8
Higher order pathwise approximation for the stochastic Burgers' equation with additive noise	8

Fractal properties of 4-point interpolatory subdivision schemes and wavelet scattering transform for signal classification	8
An operator-splitting approach with a hybrid finite volume/finite difference scheme for extended Boussinesq models	8
A new class of symplectic methods for stochastic Hamiltonian systems	8
Special Volume on Numerical Analysis and Scientific Computation with Applications	8
A new class of quadrature rules for estimating the error in Gauss quadrature	8
A priori and a posteriori error estimates for efficient numerical schemes for coupled systems of linear and nonlinear singularly perturbed initial-value problems	8
Mathematical modelling of problems with delay and after-effect	8
Construction and analysis of a discrete heat equation using dynamic consistency: The meso-scale limit	8
Study of 4 order Kuramoto-Sivashinsky equation by septic Hermite collocation method	8
Parallel cloud solution of large algebraic multivalued systems	8
Efficient estimates for matrix-inverse quadratic forms	8
Error estimates of implicit-explicit compact BDF2 schemes for the pseudo parabolic equations with logarithmic nonlinearity	8
A phase field method for convective phase change problem preserving maximum bound principle	8
Square-root filtering via covariance SVD factors in the accurate continuous-discrete extended-cubature Kalman filter	7
An innovative Fibonacci wavelet collocation method for the numerical approximation of Emden-Fowler equations	7
Unconditional well-posedness for the modified Kawahara equation	7
Application of fractional derivatives in image quality assessment indices	7
Convergence and numerical simulations of prey-predator interactions via a meshless method	7
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws	7
A doubly relaxed minimal-norm Gauss–Newton method for underdetermined nonlinear least-squares problems	7
Difference potentials method for the nonlinear convection-diffusion equation with interfaces	7
Improved higher-order finite volume scheme and its convergence analysis for collisional breakage equation	7
Novel operational matrices for solving 2-dim nonlinear variable order fractional optimal control problems via a new set of basis functions	7
α-Robust H1-norm convergence analysis of ADI scheme for two-dimensional time-fractional diffusion equation	7
Fifth-order equations of Camassa-Holm type and pseudo-peakons	7
An efficient dissipation–preserving Legendre–Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe	7
Unconditionally energy stable C0-virtual element scheme for solving generalized Swift-Hohenberg equation	7
A stabilized fully-discrete scheme for phase field crystal equation	7
The enriched multinode Shepard collocation method for solving elliptic problems with singularities	7
An adaptive splitting method for the Cox-Ingersoll-Ross process	7
On a nonlinear energy-conserving scalar auxiliary variable (SAV) model for Riesz space-fractional hyperbolic equations	7
The accelerated tensor Kaczmarz algorithm with adaptive parameters for solving tensor systems	7
Exponential stability of θ-EM method for nonlinear stochastic Volterra integro-differential equations	7
Analysis of the MAC scheme for the three dimensional Stokes problem	7
Double reduction order method based conservative compact schemes for the Rosenau equation	7
A space-time discretization for an electromagnetic problem with moving non-magnetic conductor	7
Moving least squares and spectral collocation method to approximate the solution of stochastic Volterra–Fredholm integral equations	7
Combined real and imaginary parts method for solving generalized Lyapunov matrix equation	7
An adaptive modified three-term conjugate gradient method with global convergence	7
A preconditioner based on sine transform for space fractional diffusion equations	7
Mixed Gaussian-impulse noise removal using non-convex high-order TV penalty	7
Error analysis of a novel discontinuous Galerkin method for the two-dimensional Poisson's equation	7
Improved third-order WENO scheme with a new reference smoothness indicator	7
Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions	7
High-order BDF fully discrete scheme for backward fractional Feynman-Kac equation with nonsmooth data	7
Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint	7
An efficient multigrid method for semilinear interface problems	7
Convergence order of one point large deviations rate functions for backward Euler method of stochastic delay differential equations with small noise	7
Two efficient iteration methods for solving the absolute value equations	7
Unconditional superconvergence analysis of two modified finite element fully discrete schemes for nonlinear Burgers' equation	7
A randomized exponential canonical correlation analysis method for data analysis and dimensionality reduction	7
A discrete-ordinate weak Galerkin method for radiative transfer equation	7
Spectral computation with third-order tensors using the t-product	7
High order spline finite element method for the fourth-order parabolic equations	6
Detection of dead cores for reaction-diffusion equations with a non-smooth nonlinearity	6
Error analysis and approximation of Jacobi pseudospectral method for the integer and fractional order integro-differential equation	6
Numerical study of high order nonlinear dispersive PDEs using different RBF approaches	6
Solving symmetric and positive definite second-order cone linear complementarity problem by a rational Krylov subspace method	6
Editorial Board	6
A positivity-preserving RD-FV scheme for diffusion problems on triangular meshes	6
Efficient numerical methods for Riesz space-fractional diffusion equations with fractional Neumann boundary conditions	6
Block generalized Störmer-Cowell methods applied to second order nonlinear delay differential equations	6
Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem	6
Improved subgradient extragradient methods for solving pseudomonotone variational inequalities in Hilbert spaces	6
Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation	6
Construction of SDIRK methods with dispersive stability functions	6
Convergence of a spectral Galerkin scheme for the dynamic elastica with periodical or hinged boundary	6
Extended group finite element method	6
Optimal error estimates of a lowest-order Galerkin-mixed FEM for the thermoviscoelastic Joule heating equations	6
The inverse source problem of Cherenkov radiation model	6
Fifth-order well-balanced positivity-preserving finite difference AWENO scheme with hydrostatic reconstruction for hyperbolic chemotaxis models	6
A numerical scheme for a partial differential system motivated by light-triggered drug delivery	6
An extragradient method for non-monotone equilibrium problems on Hadamard manifolds with applications	6
A contribution to the conditioning theory of the indefinite least squares problems	6
An adaptive C0 Interior Penalty Discontinuous Galerkin method and an equilibrated a posteriori error estimator for the von Kármán equations	6
Numerical analysis of a nonlinear discrete duality finite volume scheme for Leray-Lions type elliptic problems in Orlicz spaces	6
High-order compact finite difference schemes for solving the regularized long-wave equation	6
Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation	6
High-order well-balanced and positivity-preserving finite-difference AWENO scheme with hydrostatic reconstruction for shallow water equations	6
Computing the Lyapunov operator φ-functions, with an application to matrix-valued exponential integrators	6
On a discrete model that dissipates the free energy of a time-space fractional generalized nonlinear parabolic equation	6
Discontinuous Galerkin method for the diffusive-viscous wave equation	6
Error estimates of Fourier finite volume element method for parabolic Dirichlet boundary optimal control problems on complex connected domains	6
The weak Galerkin method for the miscible displacement of incompressible fluids in porous media on polygonal mesh	6
Editorial Board	6
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function	6
Analysis of a second-order hybrid scheme on Bakhvalov-type meshes: The truncation-error and barrier-function approach	6
On a certified VMS-Smagorinsky reduced basis model with LPS pressure stabilisation	6
A discrete collocation method based on the radial basis functions for solving system of integral equations of the second kind	6
Structured spectral algorithm with a nonmonotone line search for nonlinear least squares	6
Nonconforming mixed finite element method for the diffuse interface model of two-phase fluid flows	6
Diffusion representation for asymmetric kernels	5
Two moments consistent discrete formulation for binary breakage population balance equation and its convergence	5
Schwarz domain decomposition methods for the fluid-fluid system with friction-type interface conditions	5
An advancement approach of Haar wavelet method and Bratu-type equations	5