The purpose of the journal is to provide a forum for the publication of high quality research and tutorial papers in computational mathematics. In addition to the traditional issues and problems in numerical analysis, the journal also publishes papers describing relevant applications in such fields as physics, fluid dynamics, engineering and other branches of applied science with a computational mathematics component. The journal strives to be flexible in the type of papers it publishes and their format. Equally desirable are:(i) Full papers, which should be complete and relatively self-contained original contributions with an introduction that can be understood by the broad computational mathematics community. Both rigorous and heuristic styles are acceptable. Of particular interest are papers about new areas of research, in which other than strictly mathematical arguments may be important in establishing a basis for further developments.(ii) Tutorial review papers, covering some of the important issues in Numerical Mathematics, Scientific Computing and their Applications. The journal will occasionally publish contributions which are larger than the usual format for regular papers.(iii) Short notes, which present specific new results and techniques in a brief communication.
该杂志的目的是提供一个论坛的出版高质量的研究和辅导论文计算数学。除了传统的问题和问题的数值分析，该杂志还发表论文，描述相关的应用领域，如物理学，流体动力学，工程和其他分支的应用科学与计算数学的组成部分。该杂志力求在发表论文的类型和格式上灵活多样。同样可取的是：（i）完整的论文，这应该是完整的和相对独立的原始贡献与介绍，可以理解的广泛计算数学界。严谨和启发式风格都是可以接受的。特别令人感兴趣的是关于新的研究领域的论文，其中除了严格的数学论点可能是重要的，在建立一个基础，进一步的发展。(ii)辅导复习论文，涵盖了一些重要问题，在数值数学，科学计算及其应用。该杂志偶尔会发表比常规论文的通常格式更大的稿件。(iii)短笔记，在简短的交流中呈现特定的新结果和技术。
Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.10.004
On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.11.003
Higher-order additive Runge–Kutta schemes for ordinary differential equations
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.10.007
Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.10.012
Chebyshev cardinal wavelets for nonlinear variable-order fractional quadratic integral equations
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.04.019
An analysis of the Grünwald–Letnikov scheme for initial-value problems with weakly singular solutions
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.01.004
Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.02.004
An efficient modified PRP-FR hybrid conjugate gradient method for solving unconstrained optimization problems
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.06.003
A linearized energy–conservative finite element method for the nonlinear Schrödinger equation with wave operator
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.02.005
Convergence analysis of an iterative numerical algorithm for solving nonlinear stochastic Ito-Volterra integral equations with m-dimensional Brownian motion
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.07.010
On efficient numerical schemes for a two-mode phase field crystal model with face-centered-cubic (FCC) ordering structure
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.06.017
Design and stability analysis of an implicit non-standard finite difference scheme for fractional neutron point kinetic equation
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.05.029
The modified method of fundamental solutions for exterior problems of the Helmholtz equation; spurious eigenvalues and their removals
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.06.008
A Shannon wavelet method for pricing foreign exchange options under the Heston multi-factor CIR model
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.09.013
A regularizing multilevel approach for nonlinear inverse problems
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.09.006
On the optimal CFL number of SSP methods for hyperbolic problems
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.08.015
Revisiting the Thomas–Fermi equation: Accelerating rational Chebyshev series through coordinate transformations
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.08.016
Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.03.008
Unconditional L∞ convergence of a conservative compact finite difference scheme for the N-coupled Schrödinger–Boussinesq equations
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.12.009
A kind of product integration scheme for solving fractional ordinary differential equations
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.10.014
Finding Nash equilibrium for a class of multi-person noncooperative games via solving tensor complementarity problem
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.05.013
Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.05.009
A cascadic multigrid method for nonsymmetric eigenvalue problem
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.07.007
Analysis of optimal superconvergence of a local discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.05.003
Convergence of a high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equations
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.03.004
A posteriori error estimates of hp spectral element methods for integral state constrained elliptic optimal control problems
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.05.015
Unified smoothing functions for absolute value equation associated with second-order cone
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.08.019
A rational approximation of the sinc function based on sampling and the Fourier transforms
来源期刊：Applied Numerical MathematicsDOI：10.1016/j.apnum.2019.08.030
Avoiding strange attractors in efficient parametric families of iterative methods for solving nonlinear problems
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.12.006
Numerical solution to highly nonlinear neutral-type stochastic differential equation
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.01.014
A tensor voting based fractional-order image denoising model and its numerical algorithm
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.06.010
Solvability of wave propagation with Debye polarization in nonlinear dielectric materials and its finite element methods approximation
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.07.002
Some splitting methods for hyperbolic PDEs
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.07.005
DPMHSS-based iteration methods for solving weakly nonlinear systems with complex coefficient matrices
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.07.018
A nonlinear least squares framework for periodic grating identification with a high–order perturbation of surfaces implementation
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.03.012
A generalized Legendre–Gauss collocation method for solving nonlinear fractional differential equations with time varying delays
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.07.016
A posteriori error analysis for the scattering by obstacles in a homogeneous chiral environment
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.08.017
A primal-dual multiplier method for total variation image restoration
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.06.006
The nonlinear Schrödinger equation on the half-line with Neumann boundary conditions
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2018.09.018
Chebyshev spectral collocation method approximations of the Stokes eigenvalue problem based on penalty techniques
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.06.005
Parallel two-level space–time hybrid Schwarz method for solving linear parabolic equations
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.01.016
Interior penalty discontinuous Galerkin FEMs for a gradient beam and CNTs
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.05.020
Stability analysis of Runge-Kutta methods for Volterra integro-differential equations
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.07.004
A finite volume method for a coupled fracture model with matching and nonmatching grids
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.05.017
Mean velocities in an irrotational equatorial wind wave
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.03.001
The analysis of operator splitting for the Gardner equation
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.04.017
Error estimates for two-scale composite finite element approximations of parabolic equations with measure data in time for convex and nonconvex polygonal domains
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.03.009
A new approximation to Caputo-type fractional diffusion and advection equations on non-uniform meshes
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.05.014
An h-p version of the continuous Petrov-Galerkin time stepping method for nonlinear second-order delay differential equations
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.03.015
Convergence of the Newton-type methods for the square inverse singular value problems with multiple and zero singular values
来源期刊：Applied Numerical MathematicsDOI：10.1016/J.APNUM.2019.03.011
