Applied Numerical Mathematics

Article	Citations
Weak convergence of the L1 scheme for a stochastic subdiffusion problem driven by fractionally integrated additive noise	51
Special volume on Advanced Mathematical and Numerical Models in Applied Sciences (AMNMAS)	48
High-order spline finite element method for solving time-dependent electromagnetic waves	47
A finite volume method for a nonlocal thermistor problem	47
A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity	43
Global convergence of a descent PRP type conjugate gradient method for nonconvex optimization	39
Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations	37
A numerical method for the solution of nonlinear Volterra Hammerstein integral equations of the third-kind	37
Transmission dynamics and sensitivity analysis of pine wilt disease with asymptomatic carriers via fractal-fractional differential operator of Mittag-Leffler kernel	37
A new class of quadrature rules for estimating the error in Gauss quadrature	35
Error analysis of positivity-preserving energy stable schemes for the modified phase field crystal model	35
Convergence analysis of a conservative finite element scheme for the thermally coupled incompressible inductionless MHD problem	35
An accurate second-order ADI scheme for three-dimensional tempered evolution problems arising in heat conduction with memory	33
A parameter-uniform hybrid method for singularly perturbed parabolic 2D convection-diffusion-reaction problems	33
A splitting method for SDEs with locally Lipschitz drift: Illustration on the FitzHugh-Nagumo model	30
An efficient kernel-based method for solving nonlinear generalized Benjamin-Bona-Mahony-Burgers equation in irregular domains	29
A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator	28
Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem	28
Computational modeling of early-stage breast cancer progression using TPFA method: A numerical investigation	27
A new linearized second-order energy-stable finite element scheme for the nonlinear Benjamin-Bona-Mahony-Burgers equation	26
Weak Galerkin finite element method for linear poroelasticity problems	26
Difference finite element method for the 3D steady Stokes equations	25
Speckle noise removal via learned variational models	25
Editorial Board	25
Foundations of space-time finite element methods: Polytopes, interpolation, and integration	24

A semi-discrete numerical scheme for nonlocally regularized KdV-type equations	24
Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation	24
Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments	21
A comparison of six numerical methods for integrating a compartmental Hodgkin-Huxley type model	21
Editorial Board	20
High order well-balanced conservative finite difference AWENO scheme with hydrostatic reconstruction for the Euler equations under gravitational fields	20
Alternating direction method for the wave equation with integral boundary conditions	19
PiTSBiCG: Parallel in time Stable Bi-Conjugate gradient algorithm	19
A numerical comparison of Galerkin and Collocation Isogeometric approximations of acoustic wave problems	17
An efficient algorithm based on the Pseudospectral method for solving Abel's integral equation using Hermite cubic spline scaling bases	17
Editorial Board	17
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility	17
An efficient IMEX method for nonlinear functional differential equations with state-dependent delay	17
A mixed FEM for the coupled Brinkman–Forchheimer/Darcy problem	17
A hybrid approach for finding approximate solutions to constrained nonlinear monotone operator equations with applications	17
Editorial Board	16
New decoupled method for the evolutionary dual-porosity-Stokes model with Beavers-Joseph interface conditions	16
A spectral iterative algorithm for solving constrained optimal control problems with nonquadratic functional	16
Local discontinuous Galerkin method for a nonlocal viscous water wave model	16
Fitted finite element methods for singularly perturbed elliptic problems of convection-diffusion type	16
Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the unsteady thermally coupled magnetohydrodynamic equations with variable density	16
A derivative-free RMIL conjugate gradient projection method for convex constrained nonlinear monotone equations with applications in compressive sensing	15
Study of 4 order Kuramoto-Sivashinsky equation by septic Hermite collocation method	15
Comparison of two finite element schemes for a chemo-repulsion system with quadratic production	15
Editorial Board	15
A sigmoid method for some nonlinear Fredholm integral equations of the second kind	15
Communication in complex networks	15
Strong convergence of the tamed Euler-Maruyama method for stochastic singular initial value problems with non-globally Lipschitz continuous coefficients	15
An approach to adaptive refinement for the RBF-FD method for 2D elliptic equations	14
Analysis of the linearly energy- and mass-preserving finite difference methods for the coupled Schrödinger-Boussinesq equations	14
High-order, unconditionally maximum-principle preserving finite element method for the Allen–Cahn equation	14
Convergence rate estimation of poly-Sinc-based discontinuous Galerkin methods	14
Comparison of exponential integrators and traditional time integration schemes for the shallow water equations	14
Some iterative approaches for Sylvester tensor equations, Part I: A tensor format of truncated Loose Simpler GMRES	14
Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions	14
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation	14
Iterative compact finite difference method for the numerical study of fully wet porous fins with different profile shapes	14
A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients	14
A space-time spectral method for solving the nonlinear Klein-Gordon equation	13
Iterative approximation of fixed points and applications to two-point second-order boundary value problems and to machine learning	13
Diffraction integral computation using sinc approximation	13
A Petrov-Galerkin finite element method using polyfractonomials to solve stochastic fractional differential equations	13
An unconditionally stable second-order linear scheme for the Cahn-Hilliard-Hele-Shaw system	13
Legendre wavelet method for fractional delay differential equations	13
A modulus-based multigrid method for image retinex	13
An efficient matrix approach for the numerical solutions of electromagnetic wave model based on fractional partial derivative	13
Stability and convergence of 3-point WSGD schemes for two-sided space fractional advection-diffusion equations with variable coefficients	13
Multilevel Picard approximations of high-dimensional semilinear partial differential equations with locally monotone coefficient functions	13
A fast difference scheme for the variable coefficient time-fractional diffusion wave equations	13
Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method	13

Construction and analysis of a discrete heat equation using dynamic consistency: The meso-scale limit	13
A priori error estimates for finite element approximations of regularized level set flows in higher norms	13
Iterative method for constrained systems of conjugate transpose matrix equations	13
Solving tensor absolute value equation	13
Computing the matrix sine and cosine simultaneously with a reduced number of products	13
A dissipation-preserving scheme for damped oscillatory Hamiltonian systems based on splitting	13
Symbol based convergence analysis in block multigrid methods with applications for Stokes problems	13
A highly accurate algorithm for retrieving the predicted behavior of problems with piecewise-smooth initial data	13
Hermite–Birkhoff spline Quasi-Interpolation with application as dense output for Gauss–Legendre and Gauss–Lobatto Runge–Kutta schemes	12
Tamed Euler–Maruyama approximation of McKean–Vlasov stochastic differential equations with super-linear drift and Hölder diffusion coefficients	12
An explicit stable finite difference method for the Allen–Cahn equation	12
A fast proximal iteratively reweighted nuclear norm algorithm for nonconvex low-rank matrix minimization problems	12
Editorial preface: Recent advances in numerical algebra with interdisciplinary applications	12
Energy-preserving methods for non-smooth nonlinear Schrödinger equations	12
A fourth-order block-centered compact difference scheme for nonlinear contaminant transport equations with adsorption	12
On high-order schemes for tempered fractional partial differential equations	12
Efficient and conservative compact difference scheme for the coupled Schrödinger-Boussinesq equations	11
Higher order pathwise approximation for the stochastic Burgers' equation with additive noise	11
A posteriori error estimates and an adaptive finite element solution for the system of unsteady convection-diffusion-reaction equations in fluidized beds	11
A linear, high-order, and unconditionally energy stable scheme for the epitaxial thin film growth model without slope selection	11
Weighted chained graphs and some applications	11
Splitting extrapolation algorithms for solving linear delay Volterra integral equations with a spatial variable	11
On the dynamics of first and second order GeCo and gBBKS schemes	11
Frame completion with prescribed norms via alternating projection method	11
Bilateral XVA pricing under stochastic default intensity: PDE modelling and computation	11
Numerical method for boundary value problems on the real line	11
Fundamental solutions for the Stokes equations: Numerical applications for 2D and 3D flows	11
Matrix transfer technique for anomalous diffusion equation involving fractional Laplacian	11
Numerical solution of a hydrodynamic model with cavitation using finite difference method at arbitrary meshes	11
Inexact block SSOR-like preconditioners for non-Hermitian positive definite linear systems of strong Hermitian parts	11
On the improvement of the triangular Shepard method by non conformal polynomial elements	11
A new class of symplectic methods for stochastic Hamiltonian systems	11
Numerical discretization for Fisher-Kolmogorov problem with nonlocal diffusion based on mixed Galerkin BDF2 scheme	11
Parallel generalized Lagrange–Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints	10
Implicit-explicit second derivative general linear methods with strong stability preserving explicit part	10
Runge–Kutta–Nyström symplectic splitting methods of order 8	10
Design and convergence analysis of some implicit inertial methods for quasi-variational inequalities via the Wiener–Hopf equations	10
Efficient spectral and spectral element methods for Sobolev equation with diagonalization technique	10
A priori and a posteriori error estimates for efficient numerical schemes for coupled systems of linear and nonlinear singularly perturbed initial-value problems	10
Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes	10
Rigorous enclosures of solutions of Neumann boundary value problems	10
A 3D Haar wavelet method for a coupled degenerate system of parabolic equations with nonlinear source coupled with non-linear ODEs	10
Error analysis of an ADI scheme for the two-dimensional fractal mobile/immobile transport equation with weakly singular solutions	10
Improved uniform error bounds on an exponential wave integrator method for the nonlinear Schrödinger equation with wave operator and weak nonlinearity	10
Error analysis of implicit-explicit weak Galerkin finite element method for time-dependent nonlinear convection-diffusion problem	10
An efficient iterative method for solving the graph regularization Q-weighted nonnegative matrix factorization problem in multi-view clustering	10
An efficient iterative method for solving a class of constrained tensor least squares problem	10
Explicit two-step peer methods with reused stages	10
Treatment of 3D diffusion problems with discontinuous coefficients and Dirac curvilinear sources	9
Multi-step Hermite-Birkhoff predictor-corrector schemes	9
Nonstaggered central scheme with steady-state discretization for solving the open channel flows via the flux globalization	9
Optimal error estimates of the discrete shape gradients for shape optimizations governed by the Stokes-Brinkman equations	9
A uniformly convergent analysis for multiple scale parabolic singularly perturbed convection-diffusion coupled systems: Optimal accuracy with less computational time	9
The weak Galerkin finite element method for Stokes interface problems with curved interface	9
A phase field method for convective phase change problem preserving maximum bound principle	9
A parallel exponential integrator scheme for linear differential equations	9
An operator-splitting approach with a hybrid finite volume/finite difference scheme for extended Boussinesq models	9
Editorial Board	9
Solving the two-dimensional time-dependent Schrödinger equation using the Sinc collocation method and double exponential transformations	9
Efficient numerical methods for semilinear one dimensional parabolic singularly perturbed convection-diffusion systems	9
Supercloseness of the NIPG method on a Bakhvalov-type mesh for a singularly perturbed problem with two small parameters	9
A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics	9
A derivative-free projection method with double inertial effects for solving nonlinear equations	9
Efficient estimates for matrix-inverse quadratic forms	9
Editorial Board	9
Optimal control for Darcy's equation in a heterogeneous porous media	9
Application of fractional derivatives in image quality assessment indices	9
Nonconforming virtual element methods for velocity-pressure Stokes eigenvalue problem	9
A stabilized divergence-free virtual element scheme for the nematic liquid crystal flows	9
Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions	9
Regularization with two differential operators and its application to inverse problems	9
Special Volume on Numerical Analysis and Scientific Computation with Applications	9
Fractal properties of 4-point interpolatory subdivision schemes and wavelet scattering transform for signal classification	9
Mathematical modelling of problems with delay and after-effect	9
An all Froude high order IMEX scheme for the shallow water equations on unstructured Voronoi meshes	8
An adaptive modified three-term conjugate gradient method with global convergence	8
Monotone iterative technique for solving finite difference systems of time fractional parabolic equations with initial/periodic conditions	8
Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system	8
Romanovski-Jacobi spectral schemes for high-order differential equations	8
Hybrid mixed discontinuous Galerkin finite element method for incompressible miscible displacement problem	8

Positivity preserving stochastic θ-methods for selected SDEs	8
High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation	8
An adaptive splitting method for the Cox-Ingersoll-Ross process	8
Novel operational matrices for solving 2-dim nonlinear variable order fractional optimal control problems via a new set of basis functions	8
Double reduction order method based conservative compact schemes for the Rosenau equation	8
BDM H(div) weak Galerkin finite element methods for Stokes equations	8
Parallel cloud solution of large algebraic multivalued systems	8
The stabilized penalty-projection finite element method for the Navier-Stokes-Cahn-Hilliard-Oono system	8
A new analysis of Galerkin Legendre spectral methods for coupled hyperbolic/parabolic system arising in unsteady MHD flow of Maxwell fluid and numerical simulation	8
Stability of a class of problems for time-space fractional pseudo-parabolic equation with datum measured at terminal time	8
Nonconforming mixed finite element method for the diffuse interface model of two-phase fluid flows	8
Spectral computation with third-order tensors using the t-product	8
Fractional graph Laplacian for image reconstruction	8
A second-order unconditionally stable method for the anisotropic dendritic crystal growth model with an orientation-field	8
Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations	8
An inverse problem of determining the parameters in diffusion equations by using fractional physics-informed neural networks	8
On the implementation of explicit two-step peer methods with Runge–Kutta stability	8
A three-term CGPM-based algorithm without Lipschitz continuity for constrained nonlinear monotone equations with applications	8
Efficient numerical methods for Riesz space-fractional diffusion equations with fractional Neumann boundary conditions	7
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function	7
High order spline finite element method for the fourth-order parabolic equations	7
Finite block method for nonlinear time-fractional partial integro-differential equations: stability, convergence, and numerical analysis	7
Editorial Board	7
Analysis of a second-order hybrid scheme on Bakhvalov-type meshes: The truncation-error and barrier-function approach	7
Variable stepsize SDIMSIMs for ordinary differential equations	7
Optimal error estimates of a lowest-order Galerkin-mixed FEM for the thermoviscoelastic Joule heating equations	7
New summation formulas of Fox-Wright-type series containing the polygamma functions	7
On the formulation of energy conservation in the eeKdV equation	7
Numerical solution of nonlinear advection diffusion reaction equation using high-order compact difference method	7
Editorial Board	7
Solving symmetric and positive definite second-order cone linear complementarity problem by a rational Krylov subspace method	7
Block generalized Störmer-Cowell methods applied to second order nonlinear delay differential equations	7
A discrete collocation method based on the radial basis functions for solving system of integral equations of the second kind	7
Editorial Board	7
Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE	7
Numerical analysis of a nonlinear discrete duality finite volume scheme for Leray-Lions type elliptic problems in Orlicz spaces	7
Error analysis and approximation of Jacobi pseudospectral method for the integer and fractional order integro-differential equation	7
Algebraic stability and irreducibility of second derivative methods	7
A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media	7
An advancement approach of Haar wavelet method and Bratu-type equations	7
Editorial Board	7
Convergence of a spectral Galerkin scheme for the dynamic elastica with periodical or hinged boundary	7
On a certified VMS-Smagorinsky reduced basis model with LPS pressure stabilisation	7
Structured spectral algorithm with a nonmonotone line search for nonlinear least squares	7
Editorial Board	7
Improved third-order WENO scheme with a new reference smoothness indicator	7
Discontinuous Galerkin method for the diffusive-viscous wave equation	7
Editorial Board	7
Smoothing fast proximal gradient algorithm for the relaxation of matrix rank regularization problem	7
Editorial Board	7
An implicit semi-linear discretization of a bi-fractional Klein–Gordon–Zakharov system which conserves the total energy	7
A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems	6
Superconvergence of unfitted Rannacher-Turek nonconforming element for elliptic interface problems	6
Strong stochastic Runge-Kutta–Munthe-Kaas methods for nonlinear Itô SDEs on manifolds	6
A data-driven Kaczmarz iterative regularization method with non-smooth constraints for ill-posed problems	6
Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method	6
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws	6
A local min-orthogonal based numerical method for computing multiple coexisting solutions to cooperative p-Laplacian systems	6
The sine and cosine diffusive representations for the Caputo fractional derivative	6
A parameter robust fitted mesh finite difference method for a system of two reaction-convection-diffusion equations	6
Tikhonov regularization with conjugate gradient least squares method for large-scale discrete ill-posed problem in image restoration	6
Collocation and modified collocation methods for solving second kind Fredholm integral equations in weighted spaces	6
An iterative scaling function procedure for solving scalar non-linear hyperbolic balance laws	6
A space-time discretization for an electromagnetic problem with moving non-magnetic conductor	6
A finite difference scheme for (2+1)D cubic-quintic nonlinear Schrödinger equations with nonlinear damping	6
Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions	6
An error estimate for finite element approximation to elliptic PDEs with discontinuous Dirichlet boundary data	6
Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise	6
A doubly relaxed minimal-norm Gauss–Newton method for underdetermined nonlinear least-squares problems	6
On the stability of θ-methods for DDEs and PDDEs	6
An efficient collocation technique based on operational matrix of fractional-order Lagrange polynomials for solving the space-time fractional-order partial differential equations	6
Particle trajectories in a weakly nonlinear long-wave model on a shear flow	6
Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations	6
An asymptotic preserving and energy stable scheme for the Euler-Poisson system in the quasineutral limit	6
Recovering the weight function in distributed order fractional equation from interior measurement	6
A long-time behavior preserving numerical scheme for age-of-infection epidemic models with heterogeneous mixing	6
Analysis of the MAC scheme for the three dimensional Stokes problem	6
Combined real and imaginary parts method for solving generalized Lyapunov matrix equation	6
A rotational velocity-correction projection method for the Micropolar Navier-Stokes equations	6
Adaptive H-matrix computations in linear elasticity	6
New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems	6
Extragradient algorithms for solving equilibrium problems on Hadamard manifolds	6
A splitting discontinuous Galerkin projection method for the magneto-hydrodynamic equations	6
Optimal general Hermite-Hadamard-type inequalities in a ball and their applications in multidimensional numerical integration	6
A numerical method for Ψ-fractional integro-differential equations by Bell polynomials	6
Error estimates of divergence-free generalized moving least squares (Div-Free GMLS) derivatives approximations in Sobolev spaces	6
Advances in a quantum information-based color perception theory	6
Variational multiscale stabilized finite element analysis of transient MHD Stokes equations with application to multiply driven cavity flow	6
Stability results for backward heat equations with time-dependent coefficient in the Banach spaceL	6
Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type	6
A preconditioner based on sine transform for space fractional diffusion equations	6
Analysis and application of an overlapped FEM-BEM for wave propagation in unbounded and heterogeneous media	5
On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations	5
Mean square asymptotic stability characterisation of perturbed linear stochastic functional differential equations	5
Difference potentials method for the nonlinear convection-diffusion equation with interfaces	5