Applied Numerical Mathematics

Article	Citations
Weighted chained graphs and some applications	65
Fractal properties of 4-point interpolatory subdivision schemes and wavelet scattering transform for signal classification	62
On the improvement of the triangular Shepard method by non conformal polynomial elements	53
Implicit-explicit second derivative general linear methods with strong stability preserving explicit part	49
Editorial Board	48
A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics	48
Editorial Board	42
An approach to adaptive refinement for the RBF-FD method for 2D elliptic equations	41
A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity	36
A derivative-orthogonal wavelet multiscale method for elliptic equations with rough diffusion coefficients	33
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility	32
Structure-preserving numerical methods for phase-field surfactant models based on the supplemental variable method (SVM)	30
PiTSBiCG: Parallel in time Stable Bi-Conjugate gradient algorithm	28
High-order and mass-conservative regularized implicit-explicit relaxation Runge-Kutta methods for the low regularity Schrödinger equations	27
Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions	27
Numerical analysis of American option pricing in a two-asset jump-diffusion model	26
Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes	25
Analysis of a divergence-free element-free Galerkin method for the Navier-Stokes equations	24
Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations	24
An explicit stable finite difference method for the Allen–Cahn equation	24
An accurate second-order ADI scheme for three-dimensional tempered evolution problems arising in heat conduction with memory	23
A finite volume method for a nonlocal thermistor problem	23
An efficient iterative method for solving a class of constrained tensor least squares problem	23
Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method	21
Explicit two-step peer methods with reused stages	21

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

Numerical properties of solutions of LASSO regression	13
Numerical event location techniques in discontinuous differential algebraic equations	13
Thermodynamics of thermoviscoelastic solids of grade 3	13
Shape optimization of Stokes flows by a penalty method	12
Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization	12
Energetic spectral-element time marching methods for phase-field nonlinear gradient systems	12
Linear minimum-variance approximants for noisy data	12
Editorial Board	12
Robust globally divergence-free HDG finite element method for steady thermally coupled incompressible MHD flow	12
Fractional Romanovski–Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions	12
Non-uniform UE-spline quasi-interpolants and their application to the numerical solution of integral equations	12
Editorial Board	12
Convergence analysis of weak Galerkin finite element variable-time-step BDF2 implicit scheme for parabolic equations	11
A highly accurate symplectic-preserving scheme for Gross-Pitaevskii equation	11
An efficient Fourier-Laguerre spectral-Galerkin method for exterior problems of two-dimensional complex obstacles	11
Implicit EXP-RBF techniques for modeling unsaturated flow through soils with water uptake by plant roots	11
Numerical analysis of block-by-block method for a class of fractional relaxation-oscillation equations	11
Approximation of piecewise smooth functions by nonlinear bivariate C2 quartic spline quasi-interpolants on criss-cross triangulations	11
A multi-stage hybrid technique for 2D stochastic nonlinear itô-Volterra integral equations	11
A Riemannian gradient ascent algorithm with applications to orthogonal approximation problems of symmetric tensors	11
Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense	10
Numerical solution of an extra-wide angle parabolic equation through diagonalization of a 1-D indefinite Schrödinger operator with a piecewise constant potential	10
A numerical study of WENO approximations to sharp propagating fronts for reaction-diffusion systems	10
Superconvergent method for weakly singular Fredholm-Hammerstein integral equations with non-smooth solutions and its application	10
Algebraic conditions for stability in Runge-Kutta methods and their certification via semidefinite programming	10
Analysis of average bound preserving time-implicit discretizations for convection-diffusion-reaction equation	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
A mixed discontinuous Galerkin method for the Biot equations	10
Analysis for implicit and implicit-explicit ADER and DeC methods for ordinary differential equations, advection-diffusion and advection-dispersion equations	10
Numerical derivation of multivariate functions	10
Analysis of a finite-volume scheme for a single-species biofilm model	10
An inexact ADMM with proximal-indefinite term and larger stepsize	10
Editorial Board	10
Space-time parallel solvers for reaction-diffusion problems forming Turing patterns	9
A two-grid characteristic block-centered finite difference method for Darcy-Forchheimer slightly compressible miscible displacement problem	9
Weakly singular Volterra integral equation with combined logarithmic-power-law kernel: Analytical and computational consideration	9
Jacobian-free implicit MDRK methods for stiff systems of ODEs	9
Numerical simulation of nonlinear fractional delay differential equations with Mittag-Leffler kernels	9
Error estimate for the Cahn-Hilliard equation by the SAV-Runge-Kutta scheme	9
An L2-finite element approximation of the solution to div/curl-systems with nonempty null space	9
A stable multistep scheme for the transient Wigner equation: Efficient handling of scattering	9
A higher-order solver for the FitzHugh-Nagumo equation by combining nonstandard and compact finite difference scheme	9
Solving phase-field models in the tensor train format to generate microstructures of bicontinuous composites	9
Mixed approximation of nonlinear acoustic equations: Well-posedness and a priori error analysis	9
A three level linearized compact difference scheme for a fourth-order reaction-diffusion equation	9
Stability and convergence analysis of the exponential time differencing scheme for a Cahn–Hilliard binary fluid-surfactant model	9
A method for computing a few eigenpairs of large generalized eigenvalue problems	9
Superconvergent scheme for a system of green Fredholm integral equations	9
Nonnegative iterative reweighted method for sparse linear complementarity problem	9
Numerical approximation for the MHD equations with variable density based on the Gauge-Uzawa method	9
Discrete maximum principles with computable mesh conditions for nonlinear elliptic finite element problems	9
Adaptive Hermite spectral methods in unbounded domains	8
A 3D Haar wavelet method for a coupled degenerate system of parabolic equations with nonlinear source coupled with non-linear ODEs	8
Mathematical modelling of problems with delay and after-effect	8
Multi-step Hermite-Birkhoff predictor-corrector schemes	8
Fifth-order equations of Camassa-Holm type and pseudo-peakons	8
A linear second order unconditionally maximum bound principle-preserving scheme for the Allen-Cahn equation with general mobility	8
Diffraction integral computation using sinc approximation	8
Multi-level mixed finite element methods based on charge-conservative for solving the stationary inductionless MHD equations	8
Numerical methods in modeling with supersaturated designs	8
Efficient spectral and spectral element methods for Sobolev equation with diagonalization technique	8
An efficient two-grid algorithm based on Newton iteration for the stationary inductionless magnetohydrodynamic system	8
Spectral-Galerkin methods for the fully nonlinear Monge-Ampère equation	8
The weak Galerkin finite element method for Stokes interface problems with curved interface	8
Fast and reliable algorithms for computing the zeros of Althammer polynomials	8
Kernel-based meshfree collocation method for solving nonlinear and parametric PDEs	8
Fast numerical scheme for the time-fractional option pricing model with asset-price-dependent variable order	8
A novel efficient generalized energy-optimized exponential SAV scheme with variable-step BDFk method for gradient flows	8
Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations	8
Fractional convection-diffusion systems in complex 2D and 3D geometries: A Bernoulli polynomial-based kernel method	8
Computation of the eigenvalues for the angular and Coulomb spheroidal wave equation	8
A parameter robust fitted mesh finite difference method for a system of two reaction-convection-diffusion equations	8
Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem	8
A mixed FEM for the coupled Brinkman–Forchheimer/Darcy problem	8
Improved third-order WENO scheme with a new reference smoothness indicator	8
Long time stability and strong convergence of an efficient tamed scheme for stochastic Allen-Cahn equation driven by additive white noise	8
Strong stochastic Runge-Kutta–Munthe-Kaas methods for nonlinear Itô SDEs on manifolds	8
Fifth-order well-balanced positivity-preserving finite difference AWENO scheme with hydrostatic reconstruction for hyperbolic chemotaxis models	8
Efficient estimates for matrix-inverse quadratic forms	8

Speckle noise removal via learned variational models	8
Stability and convergence of spatial discrete stabilized finite volume method for the unsteady incompressible magnetohydrodynamics equations	8
Romanovski-Jacobi spectral schemes for high-order differential equations	8
Editorial Board	8
An unconditionally stable second-order scheme for Maxwell's equations in the Cole–Cole dispersive medium	8
Approximation of the Tikhonov regularization parameter through Aitken's extrapolation	8
On the convergence of the primal hybrid finite element method on quadrilateral meshes	8
Time-dependent extrudate-swell flows with slip boundary conditions: Finite difference method and slip-based Reynolds number effects	8
Editorial Board	8
Parallel generalized Lagrange–Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints	8
Nonconforming mixed finite element method for the diffuse interface model of two-phase fluid flows	8
An asymptotic preserving and energy stable scheme for the Euler-Poisson system in the quasineutral limit	8
Optimal control for Darcy's equation in a heterogeneous porous media	8
An efficient meshless technique for 2-D hyperbolic convection-diffusion problem	8
Adaptive non-conforming finite element method for the Signorini problem in the supremum norm	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
Parameter choice strategies for regularized least squares approximation of noisy continuous functions on the unit circle	8
Tensor-based Dinkelbach method for computing generalized tensor eigenvalues and its applications	8
Fractional graph Laplacian for image reconstruction	8
Geometric transformation of finite element methods: Theory and applications	8
Comparison of exponential integrators and traditional time integration schemes for the shallow water equations	8
A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers') equations	8
Symbol based convergence analysis in block multigrid methods with applications for Stokes problems	8
On the separation of solutions to fractional differential equations of order α ∈ (1,2)	8
Fast algorithms of compact scheme for solving parabolic equations and their application	7
Issues with positivity-preserving Patankar-type schemes	7
Multicomponent signals interference detection exploiting HP-splines frequency parameter	7
Variational multiscale stabilized finite element analysis of transient MHD Stokes equations with application to multiply driven cavity flow	7
Solving symmetric and positive definite second-order cone linear complementarity problem by a rational Krylov subspace method	7
A numerical modeling and its computational implementing simulation for generating distributions of the complicated random variable transformations with applications	7
A tensor formalism for multilayer network centrality measures using the Einstein product	7
Efficient inversion of matrix ϕ-functions of low order	7
Hybridizable discontinuous galerkin methods for thermo-poroelastic systems	7
A new approach for numerical solution of Kuramoto-Tsuzuki equation	7
Stabilization and adaptive FEM for optimal control problems of stationary convection-dominated diffusion equations on surfaces	7
Editorial Board	7
Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise	7
Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE	7
Extragradient algorithms for solving equilibrium problems on Hadamard manifolds	7
A space-time Petrov-Galerkin method for the two-dimensional regularized long-wave equation	7
Editorial Board	7
A penalty-type method for solving inverse optimal value problem in second-order conic programming	7
Numerical approximation of constrained optimal control problems in delayed systems using an enhanced Rayleigh-Ritz algorithm	7
Numerical solution of delay Volterra functional integral equations with variable bounds	7
Sparse approximation of complex networks	7
Numerical analysis of finite element method for a stochastic active fluids model	7
Superconvergence of unfitted Rannacher-Turek nonconforming element for elliptic interface problems	7
Superconvergence of the local discontinuous Galerkin method with generalized numerical fluxes for one-dimensional linearized KdV equations	7
Tikhonov regularization with conjugate gradient least squares method for large-scale discrete ill-posed problem in image restoration	7
A new absorbing layer approach for solving the nonlinear Schrödinger equation	7
Innovative coupling of s-stage one-step and spectral methods for non-smooth solutions of nonlinear problems	7
Structured ramp secret sharing schemata over rings of real polynomials	7
Compact difference method for Euler-Bernoulli beams and plates with nonlinear nonlocal damping	6
Split-step theta Milstein methods for SDEs with non-globally Lipschitz diffusion coefficients	6
Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics	6
Editorial Board	6
Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations	6
Unconditional energy-stable method for the Swift–Hohenberg equation over arbitrarily curved surfaces with second-order accuracy	6
Variable sample-size operator extrapolation algorithm for stochastic mixed variational inequalities	6
A mixed finite element method for a class of evolution differential equations with p-Laplacian and memory	6
Discretization methods and their extrapolations for two-dimensional nonlinear Volterra-Urysohn integral equations	6
Sinc approximation method for solving system of singularly perturbed parabolic convection-diffusion equations	6
Isogeometric analysis of diffusion problems on random surfaces	6
A 3D face interpolated discretisation method for simulating anisotropic diffusive processes on meshes coming from wood morphology	6
Penalty hyperparameter optimization with diversity measure for nonnegative low-rank approximation	6
Computation of parabolic cylinder functions having complex argument	6
Editorial Board	6
Editorial Board	6
Uniformly convergent NIPG method for singularly perturbed convection diffusion problem on Shishkin type meshes	6
Computing integrals with an exponential weight on the real axis in floating point arithmetic	6
A TS-LRBFCM structure-preserving scheme for stochastic coupled nonlinear Schrödinger equations	6
Stability analysis of ef Gaussian direct quadrature methods for Volterra integral equations	6
A novel least squares approach generating approximations orthogonal to the null space of the operator	6
Refined bounds on the convergence of block Lanczos method for extended trust-region subproblem	6
Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation	6
Optimal error estimates and stability of a local discontinuous Galerkin method for the stochastic two-dimensional KdV equation	6
On the homogeneous torsion problem for heterogeneous and orthotropic cross-sections: Theoretical and numerical aspects	6
Energy stability and error estimate of the RKMK2e scheme for the extended Fisher–Kolmogorov equation	6
Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time	6
Property-preserving numerical approximation of a Cahn–Hilliard–Navier–Stokes model with variable density and degenerate mobility	6
Mixed finite elements of higher-order in elastoplasticity	6
The two-grid hybrid high-order method for the nonlinear strongly damped wave equation on polygonal mesh and its reduced-order model	6
Numerical analysis of evolutionary mixed variational problems: Applications in modeling asphalt pavements with interlayer frictional contact conditions	6
A positivity-preserving well-balanced wet-dry front reconstruction for shallow water equations on rectangular grids	6
A local discontinuous Galerkin methods with local Lax-Friedrichs flux and modified central flux for one dimensional nonlinear convection-diffusion equation	5
An exclusive spectral computational approach based on quadratic orthoexponential polynomials for solving integro-differential equations with delays on the real line	5
A general alternating-direction implicit Newton method for solving continuous-time algebraic Riccati equation	5
Weak approximation schemes for SDEs with super-linearly growing coefficients	5
On solving some Cauchy singular integral equations by de la Vallée Poussin filtered approximation	5
WENO scheme on characteristics for the equilibrium dispersive model of chromatography with generalized Langmuir isotherms	5
Fast modulus-based matrix splitting iteration methods for implicit complementarity problems	5
Adaptive SIPG method for approximations of parabolic boundary control problems with bilateral box constraints on Neumann boundary	5
A Chebyshev multidomain adaptive mesh method for reaction-diffusion equations	5
Hasimoto transformation of general flows expressed in the Frenet frame	5
A decoupled linear, mass- and energy-conserving relaxation-type high-order compact finite difference scheme for the nonlinear Schrödinger equation	5