Applied Numerical Mathematics

Article	Citations
Weak convergence of the L1 scheme for a stochastic subdiffusion problem driven by fractionally integrated additive noise	65
A finite volume method for a nonlocal thermistor problem	51
High-order spline finite element method for solving time-dependent electromagnetic waves	51
Legendre wavelet method for fractional delay differential equations	45
A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity	44
Global convergence of a descent PRP type conjugate gradient method for nonconvex optimization	43
Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations	39
A new class of quadrature rules for estimating the error in Gauss quadrature	37
Error analysis of positivity-preserving energy stable schemes for the modified phase field crystal model	37
An accurate second-order ADI scheme for three-dimensional tempered evolution problems arising in heat conduction with memory	37
A parameter-uniform hybrid method for singularly perturbed parabolic 2D convection-diffusion-reaction problems	35
An efficient kernel-based method for solving nonlinear generalized Benjamin-Bona-Mahony-Burgers equation in irregular domains	34
A splitting method for SDEs with locally Lipschitz drift: Illustration on the FitzHugh-Nagumo model	34
Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem	32
Weak Galerkin finite element method for linear poroelasticity problems	31
A new linearized second-order energy-stable finite element scheme for the nonlinear Benjamin-Bona-Mahony-Burgers equation	30
Editorial Board	27
Difference finite element method for the 3D steady Stokes equations	27
Speckle noise removal via learned variational models	27
Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments	26
Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation	26
Foundations of space-time finite element methods: Polytopes, interpolation, and integration	26
A semi-discrete numerical scheme for nonlocally regularized KdV-type equations	26
A comparison of six numerical methods for integrating a compartmental Hodgkin-Huxley type model	25
High order well-balanced conservative finite difference AWENO scheme with hydrostatic reconstruction for the Euler equations under gravitational fields	24

Editorial Board	24
A sigmoid method for some nonlinear Fredholm integral equations of the second kind	24
Alternating direction method for the wave equation with integral boundary conditions	23
An efficient IMEX method for nonlinear functional differential equations with state-dependent delay	23
PiTSBiCG: Parallel in time Stable Bi-Conjugate gradient algorithm	23
An efficient algorithm based on the Pseudospectral method for solving Abel's integral equation using Hermite cubic spline scaling bases	21
A hybrid approach for finding approximate solutions to constrained nonlinear monotone operator equations with applications	20
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility	20
A mixed FEM for the coupled Brinkman–Forchheimer/Darcy problem	19
Editorial Board	18
Local discontinuous Galerkin method for a nonlocal viscous water wave model	17
Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the unsteady thermally coupled magnetohydrodynamic equations with variable density	17
A spectral iterative algorithm for solving constrained optimal control problems with nonquadratic functional	17
Editorial Board	17
Fitted finite element methods for singularly perturbed elliptic problems of convection-diffusion type	17
Communication in complex networks	16
A new analysis of Galerkin Legendre spectral methods for coupled hyperbolic/parabolic system arising in unsteady MHD flow of Maxwell fluid and numerical simulation	16
A numerical method for the solution of nonlinear Volterra Hammerstein integral equations of the third-kind	16
New decoupled method for the evolutionary dual-porosity-Stokes model with Beavers-Joseph interface conditions	16
Strong convergence of the tamed Euler-Maruyama method for stochastic singular initial value problems with non-globally Lipschitz continuous coefficients	16
Comparison of two finite element schemes for a chemo-repulsion system with quadratic production	16
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation	15
An approach to adaptive refinement for the RBF-FD method for 2D elliptic equations	15
Transmission dynamics and sensitivity analysis of pine wilt disease with asymptomatic carriers via fractal-fractional differential operator of Mittag-Leffler kernel	15
Convergence rate estimation of poly-Sinc-based discontinuous Galerkin methods	15
A derivative-free RMIL conjugate gradient projection method for convex constrained nonlinear monotone equations with applications in compressive sensing	15
Comparison of exponential integrators and traditional time integration schemes for the shallow water equations	15
Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations	15
Editorial Board	15
Some iterative approaches for Sylvester tensor equations, Part I: A tensor format of truncated Loose Simpler GMRES	14
High-order, unconditionally maximum-principle preserving finite element method for the Allen–Cahn equation	14
Iterative compact finite difference method for the numerical study of fully wet porous fins with different profile shapes	14
Analysis of the linearly energy- and mass-preserving finite difference methods for the coupled Schrödinger-Boussinesq equations	14
A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients	14
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
Computing the matrix sine and cosine simultaneously with a reduced number of products	13
A fast difference scheme for the variable coefficient time-fractional diffusion wave equations	13
A dissipation-preserving scheme for damped oscillatory Hamiltonian systems based on splitting	13
Iterative method for constrained systems of conjugate transpose matrix equations	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 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
Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions	13
Romanovski-Jacobi spectral schemes for high-order differential equations	13
Solving tensor absolute value equation	13
Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix	13
On the implementation of explicit two-step peer methods with Runge–Kutta stability	13
Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system	13

Computational modeling of early-stage breast cancer progression using TPFA method: A numerical investigation	13
Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method	12
Construction and analysis of a discrete heat equation using dynamic consistency: The meso-scale limit	12
A priori error estimates for finite element approximations of regularized level set flows in higher norms	12
A fast proximal iteratively reweighted nuclear norm algorithm for nonconvex low-rank matrix minimization problems	12
Tamed Euler–Maruyama approximation of McKean–Vlasov stochastic differential equations with super-linear drift and Hölder diffusion coefficients	12
A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator	12
A highly accurate algorithm for retrieving the predicted behavior of problems with piecewise-smooth initial data	12
A fourth-order block-centered compact difference scheme for nonlinear contaminant transport equations with adsorption	12
An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels	12
A space-time spectral method for solving the nonlinear Klein-Gordon equation	12
A modulus-based multigrid method for image retinex	12
Symbol based convergence analysis in block multigrid methods with applications for Stokes problems	12
An efficient matrix approach for the numerical solutions of electromagnetic wave model based on fractional partial derivative	12
Hermite–Birkhoff spline Quasi-Interpolation with application as dense output for Gauss–Legendre and Gauss–Lobatto Runge–Kutta schemes	12
Editorial preface: Recent advances in numerical algebra with interdisciplinary applications	12
The stabilized penalty-projection finite element method for the Navier-Stokes-Cahn-Hilliard-Oono system	11
Energy-preserving methods for non-smooth nonlinear Schrödinger equations	11
Solution of two-dimensional elasticity problems using a high-accuracy boundary element method	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
Inexact block SSOR-like preconditioners for non-Hermitian positive definite linear systems of strong Hermitian parts	11
Quasi-uniform convergence analysis of rectangular Morley element for the singularly perturbed Bi-wave equation	11
On high-order schemes for tempered fractional partial differential equations	11
An explicit stable finite difference method for the Allen–Cahn equation	11
Numerical solution of a hydrodynamic model with cavitation using finite difference method at arbitrary meshes	11
On the improvement of the triangular Shepard method by non conformal polynomial elements	11
A numerical comparison of Galerkin and Collocation Isogeometric approximations of acoustic wave problems	11
A new second-order modified hydrostatic reconstruction for the shallow water flows with a discontinuous topography	11
An inverse problem of determining the parameters in diffusion equations by using fractional physics-informed neural networks	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
BDM H(div) weak Galerkin finite element methods for Stokes equations	10
Convergence analysis of a conservative finite element scheme for the thermally coupled incompressible inductionless MHD problem	10
Splitting extrapolation algorithms for solving linear delay Volterra integral equations with a spatial variable	10
A three-term CGPM-based algorithm without Lipschitz continuity for constrained nonlinear monotone equations with applications	10
On the dynamics of first and second order GeCo and gBBKS schemes	10
A new class of symplectic methods for stochastic Hamiltonian systems	10
Matrix transfer technique for anomalous diffusion equation involving fractional Laplacian	10
Fundamental solutions for the Stokes equations: Numerical applications for 2D and 3D flows	10
Weighted chained graphs and some applications	10
Numerical discretization for Fisher-Kolmogorov problem with nonlocal diffusion based on mixed Galerkin BDF2 scheme	10
Positivity preserving stochastic θ-methods for selected SDEs	10
A stabilized divergence-free virtual element scheme for the nematic liquid crystal flows	9
Nonstaggered central scheme with steady-state discretization for solving the open channel flows via the flux globalization	9
Improved uniform error bounds on an exponential wave integrator method for the nonlinear Schrödinger equation with wave operator and weak nonlinearity	9
Error analysis of implicit-explicit weak Galerkin finite element method for time-dependent nonlinear convection-diffusion problem	9
An efficient iterative method for solving a class of constrained tensor least squares problem	9
Design and convergence analysis of some implicit inertial methods for quasi-variational inequalities via the Wiener–Hopf equations	9
Efficient spectral and spectral element methods for Sobolev equation with diagonalization technique	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 3D Haar wavelet method for a coupled degenerate system of parabolic equations with nonlinear source coupled with non-linear ODEs	9
Rigorous enclosures of solutions of Neumann boundary value problems	9
Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes	9
Parallel generalized Lagrange–Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints	9
Efficient and conservative compact difference scheme for the coupled Schrödinger-Boussinesq equations	9
Efficient numerical methods for semilinear one dimensional parabolic singularly perturbed convection-diffusion systems	9
A uniformly convergent analysis for multiple scale parabolic singularly perturbed convection-diffusion coupled systems: Optimal accuracy with less computational time	9
Optimal error estimates of the discrete shape gradients for shape optimizations governed by the Stokes-Brinkman equations	9
Fractional graph Laplacian for image reconstruction	9
An efficient iterative method for solving the graph regularization Q-weighted nonnegative matrix factorization problem in multi-view clustering	9
Runge–Kutta–Nyström symplectic splitting methods of order 8	9
Implicit-explicit second derivative general linear methods with strong stability preserving explicit part	9
A priori and a posteriori error estimates for efficient numerical schemes for coupled systems of linear and nonlinear singularly perturbed initial-value problems	9
Explicit two-step peer methods with reused stages	9
A second-order unconditionally stable method for the anisotropic dendritic crystal growth model with an orientation-field	9
A parallel exponential integrator scheme for linear differential equations	8
Novel operational matrices for solving 2-dim nonlinear variable order fractional optimal control problems via a new set of basis functions	8
Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions	8
Efficient estimates for matrix-inverse quadratic forms	8
Special Volume on Numerical Analysis and Scientific Computation with Applications	8
Optimal control for Darcy's equation in a heterogeneous porous media	8
A derivative-free projection method with double inertial effects for solving nonlinear equations	8
Application of fractional derivatives in image quality assessment indices	8
Solving the two-dimensional time-dependent Schrödinger equation using the Sinc collocation method and double exponential transformations	8
Mathematical modelling of problems with delay and after-effect	8
Editorial Board	8

A preconditioner based on sine transform for space fractional diffusion equations	8
A new fast algorithm for computing the mock-Chebyshev nodes	8
Parallel cloud solution of large algebraic multivalued systems	8
A phase field method for convective phase change problem preserving maximum bound principle	8
Treatment of 3D diffusion problems with discontinuous coefficients and Dirac curvilinear sources	8
Regularization with two differential operators and its application to inverse problems	8
Hybrid mixed discontinuous Galerkin finite element method for incompressible miscible displacement problem	8
Nonconforming virtual element methods for velocity-pressure Stokes eigenvalue problem	8
Analysis of the MAC scheme for the three dimensional Stokes problem	8
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws	8
A space-time discretization for an electromagnetic problem with moving non-magnetic conductor	8
Editorial Board	8
Fractal properties of 4-point interpolatory subdivision schemes and wavelet scattering transform for signal classification	8
Study of 4 order Kuramoto-Sivashinsky equation by septic Hermite collocation method	8
The weak Galerkin finite element method for Stokes interface problems with curved interface	8
An operator-splitting approach with a hybrid finite volume/finite difference scheme for extended Boussinesq models	8
Multi-step Hermite-Birkhoff predictor-corrector schemes	8
Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions	8
Central composite designs with three missing observations	7
Editorial Board	7
Analysis of a second-order hybrid scheme on Bakhvalov-type meshes: The truncation-error and barrier-function approach	7
Numerical solution of nonlinear advection diffusion reaction equation using high-order compact difference method	7
A spectral collocation method for mixed functional differential equations	7
General linear methods with projection	7
Parameter-uniform approximations for a singularly perturbed convection-diffusion problem with a discontinuous initial condition	7
Detection of dead cores for reaction-diffusion equations with a non-smooth nonlinearity	7
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function	7
Structured spectral algorithm with a nonmonotone line search for nonlinear least squares	7
Combined real and imaginary parts method for solving generalized Lyapunov matrix equation	7
Editorial Board	7
Computing the Lyapunov operator φ-functions, with an application to matrix-valued exponential integrators	7
An advancement approach of Haar wavelet method and Bratu-type equations	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
Editorial Board	7
Error analysis and approximation of Jacobi pseudospectral method for the integer and fractional order integro-differential equation	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
Numerical methods in modeling with supersaturated designs	7
Numerical analysis of a nonlinear discrete duality finite volume scheme for Leray-Lions type elliptic problems in Orlicz spaces	7
Editorial Board	7
An implicit semi-linear discretization of a bi-fractional Klein–Gordon–Zakharov system which conserves the total energy	7
Editorial Board	7
Discontinuous Galerkin method for the diffusive-viscous wave equation	7
Editorial Board	7
Efficient numerical methods for Riesz space-fractional diffusion equations with fractional Neumann boundary conditions	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
High order spline finite element method for the fourth-order parabolic equations	7
Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE	6
A compact finite difference scheme for fractional Black-Scholes option pricing model	6
Fractional order Alpert multiwavelets for discretizing delay fractional differential equation of pantograph type	6
A doubly relaxed minimal-norm Gauss–Newton method for underdetermined nonlinear least-squares problems	6
A finite difference scheme for (2+1)D cubic-quintic nonlinear Schrödinger equations with nonlinear damping	6
Maximum error estimates of two linearized compact difference schemes for two-dimensional nonlinear Sobolev equations	6
An iterative scaling function procedure for solving scalar non-linear hyperbolic balance laws	6
An error estimate for finite element approximation to elliptic PDEs with discontinuous Dirichlet boundary data	6
A local min-orthogonal based numerical method for computing multiple coexisting solutions to cooperative p-Laplacian systems	6
Extragradient algorithms for solving equilibrium problems on Hadamard manifolds	6
Editorial Board	6
Smoothing fast proximal gradient algorithm for the relaxation of matrix rank regularization problem	6
An adaptive splitting method for the Cox-Ingersoll-Ross process	6
The discontinuous Galerkin method for general nonlinear third-order ordinary differential equations	6
Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations	6
Spectral computation with third-order tensors using the t-product	6
Particle trajectories in a weakly nonlinear long-wave model on a shear flow	6
Double reduction order method based conservative compact schemes for the Rosenau equation	6
A splitting discontinuous Galerkin projection method for the magneto-hydrodynamic equations	6
Stability results for backward heat equations with time-dependent coefficient in the Banach spaceL	6
New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems	6
A rotational velocity-correction projection method for the Micropolar Navier-Stokes equations	6
Adaptive H-matrix computations in linear elasticity	6
On the formulation of energy conservation in the eeKdV equation	6
New summation formulas of Fox-Wright-type series containing the polygamma functions	6
A data-driven Kaczmarz iterative regularization method with non-smooth constraints for ill-posed problems	6
A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems	6
Unconditionally energy stable C0-virtual element scheme for solving generalized Swift-Hohenberg equation	6
An adaptive modified three-term conjugate gradient method with global convergence	6
A new finite difference scheme for the 3D Helmholtz equation with a preconditioned iterative solver	6
Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method	6
Moving least squares and spectral collocation method to approximate the solution of stochastic Volterra–Fredholm integral equations	6
Strong stochastic Runge-Kutta–Munthe-Kaas methods for nonlinear Itô SDEs on manifolds	6
Optimal general Hermite-Hadamard-type inequalities in a ball and their applications in multidimensional numerical integration	6
Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise	6
Editorial Board	6
Algebraic stability and irreducibility of second derivative methods	6
A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media	6
Stability of a class of problems for time-space fractional pseudo-parabolic equation with datum measured at terminal time	5
Schwarz domain decomposition methods for the fluid-fluid system with friction-type interface conditions	5
Square-root filtering via covariance SVD factors in the accurate continuous-discrete extended-cubature Kalman filter	5
Diffusion representation for asymmetric kernels	5
Mixed Gaussian-impulse noise removal using non-convex high-order TV penalty	5
Improved third-order WENO scheme with a new reference smoothness indicator	5
On a nonlinear energy-conserving scalar auxiliary variable (SAV) model for Riesz space-fractional hyperbolic equations	5