Applied Numerical Mathematics

Article	Citations
Fractal properties of 4-point interpolatory subdivision schemes and wavelet scattering transform for signal classification	74
On the improvement of the triangular Shepard method by non conformal polynomial elements	65
Implicit-explicit second derivative general linear methods with strong stability preserving explicit part	55
Editorial Board	55
A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics	48
Editorial Board	48
An approach to adaptive refinement for the RBF-FD method for 2D elliptic equations	42
A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity	39
A derivative-orthogonal wavelet multiscale method for elliptic equations with rough diffusion coefficients	33
Structure-preserving numerical methods for phase-field surfactant models based on the supplemental variable method (SVM)	32
PiTSBiCG: Parallel in time Stable Bi-Conjugate gradient algorithm	31
Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions	30
Approximation of two and three dimensional elliptic problems: Scale-3 Haar wavelet collocation approach	29
A finite volume method for a nonlocal thermistor problem	29
An accurate second-order ADI scheme for three-dimensional tempered evolution problems arising in heat conduction with memory	28
Numerical analysis of American option pricing in a two-asset jump-diffusion model	27
An efficient iterative method for solving a class of constrained tensor least squares problem	27
Explicit two-step peer methods with reused stages	25
High-order and mass-conservative regularized implicit-explicit relaxation Runge-Kutta methods for the low regularity Schrödinger equations	25
Optimal error estimates of two linearized finite difference schemes for the logarithmic Schrödinger equation	25
An explicit stable finite difference method for the Allen–Cahn equation	25
Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes	25
Weighted chained graphs and some applications	23
Analysis of a divergence-free element-free Galerkin method for the Navier-Stokes equations	23
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility	22

Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method	21
A simple modification to mitigate locking in conforming FEM for nearly incompressible elasticity	20
Monte Carlo method for the Cauchy problem of fractional diffusion equation concerning fractional Laplacian	20
A long-time behavior preserving numerical scheme for age-of-infection epidemic models with heterogeneous mixing	20
A tridiagonalization-based arbitrary-stride reduction approach for (p,q)-pentadiagonal linear systems	20
Structured spectral algorithm with a nonmonotone line search for nonlinear least squares	20
The weak Galerkin method for the miscible displacement of incompressible fluids in porous media on polygonal mesh	19
Editorial Board	19
On steepest coordinate descent method for computing extreme eigenpairs of symmetric matrices	19
Identification of an unknown spatial source function in a multidimensional hyperbolic partial differential equation with interior degeneracy	19
Editorial Board	19
The sine and cosine diffusive representations for the Caputo fractional derivative	19
Adaptive H-matrix computations in linear elasticity	18
A numerical scheme for a partial differential system motivated by light-triggered drug delivery	18
An adaptive modified three-term conjugate gradient method with global convergence	18
A numerical method for Ψ-fractional integro-differential equations by Bell polynomials	18
Spectral computation with third-order tensors using the t-product	18
High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation	17
Derivative-free convergence analysis for Steffensen-type schemes for nonlinear equations	17
An error estimate for finite element approximation to elliptic PDEs with discontinuous Dirichlet boundary data	17
Mixed virtual element methods for elliptic optimal control problems with boundary observations in L2(Γ)	17
Split-step θ-method for stochastic pantograph differential equations: Convergence and mean-square stability analysis	17
A new multiphysics finite element method for a quasi-static poroelasticity model	17
The inverse source problem of Cherenkov radiation model	17
l1-weighted regularization for the problem of recovering sparse initial conditions in parabolic equations from final measurements	16
Lowest-degree robust finite element schemes for inhomogeneous bi-Laplace problems	16
Editorial Board	16
Numerical solution for a generalized form of nonlinear cordial Volterra integral equations using quasilinearization and Legendre-collocation methods	16
Numerical analysis of a space-time finite volume element method for the nonlinear Schrödinger equation	16
Fast alternating fitting methods for trigonometric curves for large data sets	16
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
Uniformly convergent compact difference scheme for robin boundary parabolic system arising in lookback option pricing with regime-switching	15
A new algorithm for computing path integrals and weak approximation of SDEs inspired by large deviations and Malliavin calculus	15
Numerical simulation of a dynamic human capital model with demographic delays via the local discrete Galerkin method	15
Nonuniform L1/spectral element scheme for the time-space fractional diffusion equation: Numerical analysis and implementation	15
A class of two-step collocation methods for Volterra integro-differential equations	15
Superconvergent postprocessing of the C1-conforming finite element method for fourth-order boundary value problems	15
A block α-circulant based preconditioned MINRES method for wave equations	15
A piecewise logarithmic Jacobi cardinal scheme for nonlinear third-kind fractional integro-differential equations	14
A new preconditioned AOR-type method for M-tensor equation	14
Galerkin finite element method for damped nonlinear Schrödinger equation	14
A GPU-accelerated Lagrangian method for solving the Liouville equation in random differential equation systems	14
Thermodynamics of thermoviscoelastic solids of grade 3	14
Numerical properties of solutions of LASSO regression	14
Editorial Board	14
Editorial Board	14
A parameter robust reconstruction nonconforming virtual element method for the incompressible poroelasticity model	14
Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations	14
Energetic spectral-element time marching methods for phase-field nonlinear gradient systems	13
Loewner integer-order approximation of MIMO fractional-order systems	13

Robust globally divergence-free HDG finite element method for steady thermally coupled incompressible MHD flow	13
Instability analysis and regularization approximation to the forward/backward problems for fractional damped wave equations with random noise	13
Editorial Board	13
Numerical event location techniques in discontinuous differential algebraic equations	13
Non-uniform UE-spline quasi-interpolants and their application to the numerical solution of integral equations	12
A Riemannian gradient ascent algorithm with applications to orthogonal approximation problems of symmetric tensors	12
Linear minimum-variance approximants for noisy data	12
Shape optimization of Stokes flows by a penalty method	12
Fractional Romanovski–Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions	12
Editorial Board	12
An efficient Fourier-Laguerre spectral-Galerkin method for exterior problems of two-dimensional complex obstacles	12
Convergence analysis of weak Galerkin finite element variable-time-step BDF2 implicit scheme for parabolic equations	11
Algebraic conditions for stability in Runge-Kutta methods and their certification via semidefinite programming	11
Editorial Board	11
Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense	11
Approximation of piecewise smooth functions by nonlinear bivariate C2 quartic spline quasi-interpolants on criss-cross triangulations	11
A new class of G(ϵ)-symplectic general linear methods	11
Analysis for implicit and implicit-explicit ADER and DeC methods for ordinary differential equations, advection-diffusion and advection-dispersion equations	11
A highly accurate symplectic-preserving scheme for Gross-Pitaevskii equation	11
Implicit EXP-RBF techniques for modeling unsaturated flow through soils with water uptake by plant roots	11
Numerical derivation of multivariate functions	11
Jacobian-free implicit MDRK methods for stiff systems of ODEs	11
Analysis of a finite-volume scheme for a single-species biofilm model	11
A multi-stage hybrid technique for 2D stochastic nonlinear itô-Volterra integral equations	11
Analysis of average bound preserving time-implicit discretizations for convection-diffusion-reaction equation	11
An unconditionally stable hybridizable-embedded discontinuous Galerkin method for the phase field crystal equation	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
An L2-finite element approximation of the solution to div/curl-systems with nonempty null space	10
Stability and convergence analysis of the exponential time differencing scheme for a Cahn–Hilliard binary fluid-surfactant model	10
Superconvergent method for weakly singular Fredholm-Hammerstein integral equations with non-smooth solutions and its application	10
A numerical study of WENO approximations to sharp propagating fronts for reaction-diffusion systems	10
Solving phase-field models in the tensor train format to generate microstructures of bicontinuous composites	10
An efficient space-time two-grid compact difference scheme for the two-dimensional viscous Burgers’ equation	10
Nonnegative iterative reweighted method for sparse linear complementarity problem	10
Structure-preserving operator-splitting explicit methods for the generalized Klein–Gordon–Schrödinger equations	10
Mixed approximation of nonlinear acoustic equations: Well-posedness and a priori error analysis	10
A method for computing a few eigenpairs of large generalized eigenvalue problems	10
Editorial Board	10
Superconvergent scheme for a system of green Fredholm integral equations	10
A three level linearized compact difference scheme for a fourth-order reaction-diffusion equation	10
A two-grid characteristic block-centered finite difference method for Darcy-Forchheimer slightly compressible miscible displacement problem	10
Weakly singular Volterra integral equation with combined logarithmic-power-law kernel: Analytical and computational consideration	10
A mixed discontinuous Galerkin method for the Biot equations	10
Two linear energy-preserving compact finite difference schemes for coupled nonlinear wave equations	10
An inexact ADMM with proximal-indefinite term and larger stepsize	10
A higher-order solver for the FitzHugh-Nagumo equation by combining nonstandard and compact finite difference scheme	10
Numerical simulation of nonlinear fractional delay differential equations with Mittag-Leffler kernels	10
On the convergence of the primal hybrid finite element method on quadrilateral meshes	9
Time-dependent extrudate-swell flows with slip boundary conditions: Finite difference method and slip-based Reynolds number effects	9
A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers') equations	9
On the separation of solutions to fractional differential equations of order α ∈ (1,2)	9
A mixed FEM for the coupled Brinkman–Forchheimer/Darcy problem	9
Semi-analytical study of Lane-Emden-Type systems in two spatial variables via ADM and MDTM	9
Discrete maximum principles with computable mesh conditions for nonlinear elliptic finite element problems	9
Numerical approximation for the MHD equations with variable density based on the Gauge-Uzawa method	9
Editorial Board	9
Fast numerical scheme for the time-fractional option pricing model with asset-price-dependent variable order	9
Shallow neural networks for solving nonuniform size-modified Poisson-Boltzmann equations	9
Efficient estimates for matrix-inverse quadratic forms	9
Fractional convection-diffusion systems in complex 2D and 3D geometries: A Bernoulli polynomial-based kernel method	9
Adaptive Hermite spectral methods in unbounded domains	9
Geometric transformation of finite element methods: Theory and applications	9
Error estimate for the Cahn-Hilliard equation by the SAV-Runge-Kutta scheme	9
Space-time parallel solvers for reaction-diffusion problems forming Turing patterns	9
A novel efficient generalized energy-optimized exponential SAV scheme with variable-step BDFk method for gradient flows	9
Stability and convergence of spatial discrete stabilized finite volume method for the unsteady incompressible magnetohydrodynamics equations	9
Spectral-Galerkin methods for the fully nonlinear Monge-Ampère equation	9
Editorial Board	9
Computation of the eigenvalues for the angular and Coulomb spheroidal wave equation	9
Approximation of the Tikhonov regularization parameter through Aitken's extrapolation	9
Fast and reliable algorithms for computing the zeros of Althammer polynomials	9
A stable multistep scheme for the transient Wigner equation: Efficient handling of scattering	9
Comparison of exponential integrators and traditional time integration schemes for the shallow water equations	8
Romanovski-Jacobi spectral schemes for high-order differential equations	8
Mathematical modelling of problems with delay and after-effect	8
Strong stochastic Runge-Kutta–Munthe-Kaas methods for nonlinear Itô SDEs on manifolds	8
Optimal control for Darcy's equation in a heterogeneous porous media	8
A parameter robust fitted mesh finite difference method for a system of two reaction-convection-diffusion equations	8
Multi-level mixed finite element methods based on charge-conservative for solving the stationary inductionless MHD equations	8
Speckle noise removal via learned variational models	8

A space-time Petrov-Galerkin method for the two-dimensional regularized long-wave equation	8
Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem	8
Extragradient algorithms for solving equilibrium problems on Hadamard manifolds	8
A linear second order unconditionally maximum bound principle-preserving scheme for the Allen-Cahn equation with general mobility	8
A 3D Haar wavelet method for a coupled degenerate system of parabolic equations with nonlinear source coupled with non-linear ODEs	8
Adaptive non-conforming finite element method for the Signorini problem in the supremum norm	8
Kernel-based meshfree collocation method for solving nonlinear and parametric PDEs	8
On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations	8
Fractional graph Laplacian for image reconstruction	8
An efficient two-grid algorithm based on Newton iteration for the stationary inductionless magnetohydrodynamic system	8
Symbol based convergence analysis in block multigrid methods with applications for Stokes problems	8
Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise	8
Tikhonov regularization with conjugate gradient least squares method for large-scale discrete ill-posed problem in image restoration	8
Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations	8
Fifth-order well-balanced positivity-preserving finite difference AWENO scheme with hydrostatic reconstruction for hyperbolic chemotaxis models	8
Variational multiscale stabilized finite element analysis of transient MHD Stokes equations with application to multiply driven cavity flow	8
An asymptotic preserving and energy stable scheme for the Euler-Poisson system in the quasineutral limit	8
Parameter choice strategies for regularized least squares approximation of noisy continuous functions on the unit circle	8
Diffraction integral computation using sinc approximation	8
Tensor-based Dinkelbach method for computing generalized tensor eigenvalues and its applications	8
The weak Galerkin finite element method for Stokes interface problems with curved interface	8
Superconvergence of the local discontinuous Galerkin method with generalized numerical fluxes for one-dimensional linearized KdV equations	8
Multi-step Hermite-Birkhoff predictor-corrector schemes	8
Fifth-order equations of Camassa-Holm type and pseudo-peakons	8
Long time stability and strong convergence of an efficient tamed scheme for stochastic Allen-Cahn equation driven by additive white noise	8
An efficient meshless technique for 2-D hyperbolic convection-diffusion problem	8
Superconvergence of unfitted Rannacher-Turek nonconforming element for elliptic interface problems	8
Nonconforming mixed finite element method for the diffuse interface model of two-phase fluid flows	8
Improved third-order WENO scheme with a new reference smoothness indicator	8
Numerical methods in modeling with supersaturated designs	8
Parallel generalized Lagrange–Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints	8
Efficient spectral and spectral element methods for Sobolev equation with diagonalization technique	8
On the homogeneous torsion problem for heterogeneous and orthotropic cross-sections: Theoretical and numerical aspects	7
An unconditionally stable second-order scheme for Maxwell's equations in the Cole–Cole dispersive medium	7
Efficient inversion of matrix ϕ-functions of low order	7
Uniformly convergent NIPG method for singularly perturbed convection diffusion problem on Shishkin type meshes	7
Structured ramp secret sharing schemata over rings of real polynomials	7
A domain-overlapping algorithm with nonlinear mappings for Chebyshev collocation-based solutions of eigenvalue problems	7
Computing integrals with an exponential weight on the real axis in floating point arithmetic	7
A tensor formalism for multilayer network centrality measures using the Einstein product	7
Sparse approximation of complex networks	7
Numerical analysis of finite element method for a stochastic active fluids model	7
Editorial Board	7
Hybridizable discontinuous galerkin methods for thermo-poroelastic systems	7
Discretization methods and their extrapolations for two-dimensional nonlinear Volterra-Urysohn integral equations	7
Energy stability and error estimate of the RKMK2e scheme for the extended Fisher–Kolmogorov equation	7
Innovative coupling of s-stage one-step and spectral methods for non-smooth solutions of nonlinear problems	7
Fast algorithms of compact scheme for solving parabolic equations and their application	7
Multicomponent signals interference detection exploiting HP-splines frequency parameter	7
Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE	7
A new absorbing layer approach for solving the nonlinear Schrödinger equation	7
Issues with positivity-preserving Patankar-type schemes	7
Mixed finite elements of higher-order in elastoplasticity	7
Unconditional energy-stable method for the Swift–Hohenberg equation over arbitrarily curved surfaces with second-order accuracy	7
Sinc approximation method for solving system of singularly perturbed parabolic convection-diffusion equations	6
A mixed finite element method for a class of evolution differential equations with p-Laplacian and memory	6
Split-step theta Milstein methods for SDEs with non-globally Lipschitz diffusion coefficients	6
A new approach for numerical solution of Kuramoto-Tsuzuki equation	6
Refined bounds on the convergence of block Lanczos method for extended trust-region subproblem	6
A penalty-type method for solving inverse optimal value problem in second-order conic programming	6
A positivity-preserving well-balanced wet-dry front reconstruction for shallow water equations on rectangular grids	6
Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations	6
Numerical approximation of constrained optimal control problems in delayed systems using an enhanced Rayleigh-Ritz algorithm	6
Space-time spectral methods for parabolic equations: Error analysis of explicit-implicit iteration scheme	6
A parameter-robust approach on generalized mesh to numerical solution and diffusive fluxes for 2D-system of singularly perturbed convection-diffusion elliptic PDEs	6
Editorial Board	6
Weighted least squares collocation methods	6
Numerical analysis of evolutionary mixed variational problems: Applications in modeling asphalt pavements with interlayer frictional contact conditions	6
Stability analysis of ef Gaussian direct quadrature methods for Volterra integral equations	6
A 3D face interpolated discretisation method for simulating anisotropic diffusive processes on meshes coming from wood morphology	6
Editorial Board	6
A stabilized finite element method for the Stokes–Temperature coupled problem	6
A TS-LRBFCM structure-preserving scheme for stochastic coupled nonlinear Schrödinger equations	6
Compact difference method for Euler-Bernoulli beams and plates with nonlinear nonlocal damping	6
Editorial Board	6
Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time	6
Convergence analysis of Hermite subdivision schemes of any arity	6
Property-preserving numerical approximation of a Cahn–Hilliard–Navier–Stokes model with variable density and degenerate mobility	6
Variable-time-step weighted IMEX FEMs for nonlinear evolution equations	6
Editorial Board	6
An adaptive time-stepping DLN decoupled algorithm for the coupled Stokes-Darcy model	6
An explicit representation of the three-point Hermite interpolant for the numerical solution of singular boundary value problems	6
The two-grid hybrid high-order method for the nonlinear strongly damped wave equation on polygonal mesh and its reduced-order model	6
A novel least squares approach generating approximations orthogonal to the null space of the operator	6
Editorial Board	6
Isogeometric analysis of diffusion problems on random surfaces	6
Numerical solution of delay Volterra functional integral equations with variable bounds	6
Computation of parabolic cylinder functions having complex argument	6
A numerical modeling and its computational implementing simulation for generating distributions of the complicated random variable transformations with applications	6
Stabilization and adaptive FEM for optimal control problems of stationary convection-dominated diffusion equations on surfaces	6
Variable sample-size operator extrapolation algorithm for stochastic mixed variational inequalities	6
Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation	6
A thermodynamically consistent phase-field model and an entropy stable numerical method for simulating two-phase flows with thermocapillary effects	6
Highly efficient, robust and unconditionally energy stable second order schemes for approximating the Cahn-Hilliard-Brinkman system	6
Legendre expansions of products of functions with applications to nonlinear partial differential equations	6