Applied Numerical Mathematics

Article	Citations
Editorial Board	52
Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions	50
Fractal properties of 4-point interpolatory subdivision schemes and wavelet scattering transform for signal classification	50
Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes	48
A fast difference scheme for the variable coefficient time-fractional diffusion wave equations	48
Weighted chained graphs and some applications	44
A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics	43
A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity	42
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility	40
Matrix transfer technique for anomalous diffusion equation involving fractional Laplacian	39
Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations	39
PiTSBiCG: Parallel in time Stable Bi-Conjugate gradient algorithm	37
Editorial Board	36
A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients	35
Comparison of two finite element schemes for a chemo-repulsion system with quadratic production	31
An approach to adaptive refinement for the RBF-FD method for 2D elliptic equations	31
Implicit-explicit second derivative general linear methods with strong stability preserving explicit part	31
Solving tensor absolute value equation	30
An explicit stable finite difference method for the Allen–Cahn equation	29
A highly accurate algorithm for retrieving the predicted behavior of problems with piecewise-smooth initial data	28
An efficient iterative method for solving a class of constrained tensor least squares problem	27
A finite volume method for a nonlocal thermistor problem	27
Explicit two-step peer methods with reused stages	27
On the improvement of the triangular Shepard method by non conformal polynomial elements	26
An accurate second-order ADI scheme for three-dimensional tempered evolution problems arising in heat conduction with memory	26

An adaptive modified three-term conjugate gradient method with global convergence	25
Foundations of space-time finite element methods: Polytopes, interpolation, and integration	25
The inverse source problem of Cherenkov radiation model	25
Mixed virtual element methods for elliptic optimal control problems with boundary observations in L2(Γ)	23
On a nonlinear energy-conserving scalar auxiliary variable (SAV) model for Riesz space-fractional hyperbolic equations	23
A new multiphysics finite element method for a quasi-static poroelasticity model	23
A tridiagonalization-based arbitrary-stride reduction approach for (p,q)-pentadiagonal linear systems	22
The weak Galerkin method for the miscible displacement of incompressible fluids in porous media on polygonal mesh	22
Structured spectral algorithm with a nonmonotone line search for nonlinear least squares	21
Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method	21
Spectral computation with third-order tensors using the t-product	21
Adaptive H-matrix computations in linear elasticity	21
An error estimate for finite element approximation to elliptic PDEs with discontinuous Dirichlet boundary data	20
High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation	20
A numerical method for Ψ-fractional integro-differential equations by Bell polynomials	19
Detection of dead cores for reaction-diffusion equations with a non-smooth nonlinearity	18
An implicit semi-linear discretization of a bi-fractional Klein–Gordon–Zakharov system which conserves the total energy	18
Editorial Board	18
The sine and cosine diffusive representations for the Caputo fractional derivative	18
Efficient numerical methods for Riesz space-fractional diffusion equations with fractional Neumann boundary conditions	18
A numerical scheme for a partial differential system motivated by light-triggered drug delivery	17
Identification of an unknown spatial source function in a multidimensional hyperbolic partial differential equation with interior degeneracy	17
Recovering the weight function in distributed order fractional equation from interior measurement	17
Optimal general Hermite-Hadamard-type inequalities in a ball and their applications in multidimensional numerical integration	17
A class of two-step collocation methods for Volterra integro-differential equations	16
Lowest-degree robust finite element schemes for inhomogeneous bi-Laplace problems	16
Monte Carlo method for the Cauchy problem of fractional diffusion equation concerning fractional Laplacian	16
Superconvergent postprocessing of the C1-conforming finite element method for fourth-order boundary value problems	16
Fast alternating fitting methods for trigonometric curves for large data sets	16
A long-time behavior preserving numerical scheme for age-of-infection epidemic models with heterogeneous mixing	16
Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations	16
Analysis and numerical solution of the generalized proportional fractional Cauchy problem	16
A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers	15
Sumudu Lagrange-spectral methods for solving system of linear and nonlinear Volterra integro-differential equations	15
Galerkin finite element method for damped nonlinear Schrödinger equation	15
Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials	15
Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: Stability analysis	15
Uniform convergence of finite element methods on Bakhvalov-type meshes in the case of N−1 ≤ ε	15
A novel Petrov-Galerkin method for a class of linear systems of fractional differential equations	15
l1-weighted regularization for the problem of recovering sparse initial conditions in parabolic equations from final measurements	15
A parameter robust reconstruction nonconforming virtual element method for the incompressible poroelasticity model	15
Numerical properties of solutions of LASSO regression	15
A novel regularized model for the logarithmic Klein-Gordon equation	14
Numerical solution for a generalized form of nonlinear cordial Volterra integral equations using quasilinearization and Legendre-collocation methods	14
A block α-circulant based preconditioned MINRES method for wave equations	14
The double absorbing boundary method for the Helmholtz equation	14
Numerical event location techniques in discontinuous differential algebraic equations	14
Editorial Board	14
Editorial Board	14
Editorial Board	14

A new preconditioned AOR-type method for M-tensor equation	14
An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation	14
Editorial Board	14
An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems	14
A GPU-accelerated Lagrangian method for solving the Liouville equation in random differential equation systems	14
Linear implicit finite difference methods with energy conservation property for space fractional Klein-Gordon-Zakharov system	14
A new algorithm for computing path integrals and weak approximation of SDEs inspired by large deviations and Malliavin calculus	14
Thermodynamics of thermoviscoelastic solids of grade 3	14
Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization	14
Numerical analysis of block-by-block method for a class of fractional relaxation-oscillation equations	14
Algebraic conditions for stability in Runge-Kutta methods and their certification via semidefinite programming	13
Editorial Board	13
Non-uniform UE-spline quasi-interpolants and their application to the numerical solution of integral equations	13
Energetic spectral-element time marching methods for phase-field nonlinear gradient systems	13
Approximation of piecewise smooth functions by nonlinear bivariate C2 quartic spline quasi-interpolants on criss-cross triangulations	13
Accelerated homotopy perturbation iteration method for a non-smooth nonlinear ill-posed problem	13
A multi-parameter parallel ADMM for multi-block linearly constrained separable convex optimization	13
A Riemannian gradient ascent algorithm with applications to orthogonal approximation problems of symmetric tensors	13
Implicit EXP-RBF techniques for modeling unsaturated flow through soils with water uptake by plant roots	13
Convergence analysis of weak Galerkin finite element variable-time-step BDF2 implicit scheme for parabolic equations	13
A numerical method for linear Volterra integral equations on infinite intervals and its application to the resolution of metastatic tumor growth models	13
A numerical scheme for a class of generalized Burgers' equation based on Haar wavelet nonstandard finite difference method	13
Shape optimization of Stokes flows by a penalty method	13
Editorial Board	13
Analysis of a finite-volume scheme for a single-species biofilm model	13
Analysis for implicit and implicit-explicit ADER and DeC methods for ordinary differential equations, advection-diffusion and advection-dispersion equations	13
Superconvergent method for weakly singular Fredholm-Hammerstein integral equations with non-smooth solutions and its application	12
Reduced order multirate schemes for coupled differential-algebraic systems	12
Loewner integer-order approximation of MIMO fractional-order systems	12
An efficient Fourier-Laguerre spectral-Galerkin method for exterior problems of two-dimensional complex obstacles	12
Explicit methods based on barycentric rational interpolants for solving non-stiff Volterra integral equations	12
An enriched Galerkin-characteristics finite element method for convection-dominated and transport problems	12
Temporal error analysis of Euler semi-implicit scheme for the magnetohydrodynamics equations with variable density	12
A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay	12
Penalty method for indifference pricing of American option in a liquidity switching market	12
Superconvergent scheme for a system of green Fredholm integral equations	12
A numerical proof algorithm for the non-existence of solutions to elliptic boundary value problems	12
Instability analysis and regularization approximation to the forward/backward problems for fractional damped wave equations with random noise	12
Fractional Romanovski–Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions	12
Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense	12
A method for computing a few eigenpairs of large generalized eigenvalue problems	11
Weakly singular Volterra integral equation with combined logarithmic-power-law kernel: Analytical and computational consideration	11
Analysis of average bound preserving time-implicit discretizations for convection-diffusion-reaction equation	11
A mixed discontinuous Galerkin method for the Biot equations	11
An L2-finite element approximation of the solution to div/curl-systems with nonempty null space	11
Numerical approximation for the MHD equations with variable density based on the Gauge-Uzawa method	11
A weak approximation method for irregular functionals of hypoelliptic diffusions	11
Nonnegative iterative reweighted method for sparse linear complementarity problem	11
Nyström methods for approximating the solutions of an integral equation arising from a problem in mathematical biology	11
A Self-Scaling G-transformation for weighted least squares problems	11
Efficient space-time Legendre rational spectral method for parabolic problems in unbounded domains	11
Numerical solution of an extra-wide angle parabolic equation through diagonalization of a 1-D indefinite Schrödinger operator with a piecewise constant potential	11
Numerical derivation of multivariate functions	11
A numerical study of WENO approximations to sharp propagating fronts for reaction-diffusion systems	11
A novel approach of superconvergence analysis of the bilinear-constant scheme for time-dependent Stokes equations	10
Convergence analysis of volume preserving scheme for mass based coalescence equation	10
A three level linearized compact difference scheme for a fourth-order reaction-diffusion equation	10
Solving phase-field models in the tensor train format to generate microstructures of bicontinuous composites	10
An improved Kellogg-Tsan solution decomposition in numerical methods for singularly perturbed convection-diffusion problems	10
A two-grid characteristic block-centered finite difference method for Darcy-Forchheimer slightly compressible miscible displacement problem	10
The discrete maximum principle and energy stability of a new second-order difference scheme for Allen-Cahn equations	10
A new class of G(ϵ)-symplectic general linear methods	10
Two linear energy-preserving compact finite difference schemes for coupled nonlinear wave equations	10
Stability and convergence analysis of the exponential time differencing scheme for a Cahn–Hilliard binary fluid-surfactant model	10
An inexact ADMM with proximal-indefinite term and larger stepsize	10
Jacobian-free implicit MDRK methods for stiff systems of ODEs	10
Numerical simulation of nonlinear fractional delay differential equations with Mittag-Leffler kernels	10
High-order explicit conservative exponential integrator schemes for fractional Hamiltonian PDEs	10
Mixed approximation of nonlinear acoustic equations: Well-posedness and a priori error analysis	10
Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions	9
Spectral-Galerkin methods for the fully nonlinear Monge-Ampère equation	9
Error estimates of local discontinuous Galerkin method with implicit-explicit Runge Kutta for two-phase miscible flow in porous media	9
Fast numerical scheme for the time-fractional option pricing model with asset-price-dependent variable order	9
Computation of the eigenvalues for the angular and Coulomb spheroidal wave equation	9
Stability and convergence of spatial discrete stabilized finite volume method for the unsteady incompressible magnetohydrodynamics equations	9
Two-dimensional Gegenbauer wavelets for the numerical solution of tempered fractional model of the nonlinear Klein-Gordon equation	9
On the separation of solutions to fractional differential equations of order α ∈ (1,2)	9
A new representation of generalized averaged Gauss quadrature rules	9
A novel efficient generalized energy-optimized exponential SAV scheme with variable-step BDFk method for gradient flows	9
Editorial Board	9

Geometric transformation of finite element methods: Theory and applications	9
On the convergence of the primal hybrid finite element method on quadrilateral meshes	9
A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers') equations	9
Tensorial conditional gradient method for solving multidimensional ill-posed problems	9
Discrete maximum principles with computable mesh conditions for nonlinear elliptic finite element problems	9
Convergence analysis of the hp-version spectral collocation method for a class of nonlinear variable-order fractional differential equations	9
Approximation of the Tikhonov regularization parameter through Aitken's extrapolation	9
A parallel, non-spatial iterative, and rotational pressure projection method for the nonlinear fluid-fluid interaction	9
Numerical analysis of a dual-phase-lag model with microtemperatures	9
Analysis of versions of relaxed inertial projection and contraction method	9
Adaptive Hermite spectral methods in unbounded domains	9
Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations	8
Romanovski-Jacobi spectral schemes for high-order differential equations	8
Diffraction integral computation using sinc approximation	8
Efficient estimates for matrix-inverse quadratic forms	8
Efficient spectral and spectral element methods for Sobolev equation with diagonalization technique	8
Editorial Board	8
The weak Galerkin finite element method for Stokes interface problems with curved interface	8
A numerical method for the solution of nonlinear Volterra Hammerstein integral equations of the third-kind	8
Solving symmetric and positive definite second-order cone linear complementarity problem by a rational Krylov subspace method	8
A 3D Haar wavelet method for a coupled degenerate system of parabolic equations with nonlinear source coupled with non-linear ODEs	8
New decoupled method for the evolutionary dual-porosity-Stokes model with Beavers-Joseph interface conditions	8
A priori error estimates for finite element approximations of regularized level set flows in higher norms	8
Optimal control for Darcy's equation in a heterogeneous porous media	8
Mathematical modelling of problems with delay and after-effect	8
Parallel generalized Lagrange–Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints	8
A comparison of six numerical methods for integrating a compartmental Hodgkin-Huxley type model	8
Some iterative approaches for Sylvester tensor equations, Part I: A tensor format of truncated Loose Simpler GMRES	8
Variable stepsize SDIMSIMs for ordinary differential equations	8
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation	8
Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method	8
Speckle noise removal via learned variational models	8
Comparison of exponential integrators and traditional time integration schemes for the shallow water equations	8
Fractional graph Laplacian for image reconstruction	8
Stability and convergence of 3-point WSGD schemes for two-sided space fractional advection-diffusion equations with variable coefficients	8
A mixed FEM for the coupled Brinkman–Forchheimer/Darcy problem	8
Multi-step Hermite-Birkhoff predictor-corrector schemes	8
Fast and reliable algorithms for computing the zeros of Althammer polynomials	8
Symbol based convergence analysis in block multigrid methods with applications for Stokes problems	8
Numerical methods in modeling with supersaturated designs	8
Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem	8
An unconditionally stable second-order scheme for Maxwell's equations in the Cole–Cole dispersive medium	8
A penalty-type method for solving inverse optimal value problem in second-order conic programming	7
On the homogeneous torsion problem for heterogeneous and orthotropic cross-sections: Theoretical and numerical aspects	7
Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE	7
Extragradient algorithms for solving equilibrium problems on Hadamard manifolds	7
Mixed finite elements of higher-order in elastoplasticity	7
A compact finite difference scheme for fractional Black-Scholes option pricing model	7
A parameter robust fitted mesh finite difference method for a system of two reaction-convection-diffusion equations	7
On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations	7
Second-order BDF ADI Galerkin finite element method for the evolutionary equation with a nonlocal term in three-dimensional space	7
Variational multiscale stabilized finite element analysis of transient MHD Stokes equations with application to multiply driven cavity flow	7
Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise	7
Editorial Board	7
An optimal Robin-Robin domain decomposition method for Stokes equations	7
Computing integrals with an exponential weight on the real axis in floating point arithmetic	7
Tikhonov regularization with conjugate gradient least squares method for large-scale discrete ill-posed problem in image restoration	7
New summation formulas of Fox-Wright-type series containing the polygamma functions	7
Fifth-order well-balanced positivity-preserving finite difference AWENO scheme with hydrostatic reconstruction for hyperbolic chemotaxis models	7
Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation	7
A modified nonconforming virtual element with BDM-like reconstruction for the Navier-Stokes equations	7
Novel operational matrices for solving 2-dim nonlinear variable order fractional optimal control problems via a new set of basis functions	7
Strong stochastic Runge-Kutta–Munthe-Kaas methods for nonlinear Itô SDEs on manifolds	7
A high accuracy numerical approach for electro-hydrodynamic flow of a fluid in an ion-drag configuration in a circular cylindrical conduit	7
Numerical analysis of finite element method for a stochastic active fluids model	7
A new absorbing layer approach for solving the nonlinear Schrödinger equation	7
An asymptotic preserving and energy stable scheme for the Euler-Poisson system in the quasineutral limit	7
Superconvergence of unfitted Rannacher-Turek nonconforming element for elliptic interface problems	7
Fifth-order equations of Camassa-Holm type and pseudo-peakons	7
Improved third-order WENO scheme with a new reference smoothness indicator	7
Nonconforming mixed finite element method for the diffuse interface model of two-phase fluid flows	7
An efficient two-grid algorithm based on Newton iteration for the stationary inductionless magnetohydrodynamic system	7
A space-time Petrov-Galerkin method for the two-dimensional regularized long-wave equation	7
A linear second order unconditionally maximum bound principle-preserving scheme for the Allen-Cahn equation with general mobility	7
Multicomponent signals interference detection exploiting HP-splines frequency parameter	7
Innovative coupling of s-stage one-step and spectral methods for non-smooth solutions of nonlinear problems	7
Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics	6
Computation of parabolic cylinder functions having complex argument	6
Stability analysis of ef Gaussian direct quadrature methods for Volterra integral equations	6
Isogeometric analysis of diffusion problems on random surfaces	6
A stabilized finite element method for the Stokes–Temperature coupled problem	6
The two-grid hybrid high-order method for the nonlinear strongly damped wave equation on polygonal mesh and its reduced-order model	6
Editorial Board	6
A positivity-preserving well-balanced wet-dry front reconstruction for shallow water equations on rectangular grids	6
Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation	6
Penalty hyperparameter optimization with diversity measure for nonnegative low-rank approximation	6
Editorial Board	6
High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain	6
A novel least squares approach generating approximations orthogonal to the null space of the operator	6
A 3D face interpolated discretisation method for simulating anisotropic diffusive processes on meshes coming from wood morphology	6
Convergence analysis of Hermite subdivision schemes of any arity	6
Numerical analysis of evolutionary mixed variational problems: Applications in modeling asphalt pavements with interlayer frictional contact conditions	6
On numerical solution of Fredholm and Hammerstein integral equations via Nyström method and Gaussian quadrature rules for splines	6
Refined bounds on the convergence of block Lanczos method for extended trust-region subproblem	6
The computation of the greatest common divisor of three bivariate Bernstein polynomials defined in a rectangular domain	6