Applied Numerical Mathematics

Article	Citations
Weighted chained graphs and some applications	62
Implicit-explicit second derivative general linear methods with strong stability preserving explicit part	61
Editorial Board	60
Explicit two-step peer methods with reused stages	53
A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics	48
A finite volume method for a nonlocal thermistor problem	47
An approach to adaptive refinement for the RBF-FD method for 2D elliptic equations	44
An accurate second-order ADI scheme for three-dimensional tempered evolution problems arising in heat conduction with memory	42
Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations	38
Analysis of a divergence-free element-free Galerkin method for the Navier-Stokes equations	35
Editorial Board	33
A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity	32
Fractal properties of 4-point interpolatory subdivision schemes and wavelet scattering transform for signal classification	29
A derivative-orthogonal wavelet multiscale method for elliptic equations with rough diffusion coefficients	29
Numerical analysis of American option pricing in a two-asset jump-diffusion model	27
On the improvement of the triangular Shepard method by non conformal polynomial elements	27
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility	26
Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes	25
An explicit stable finite difference method for the Allen–Cahn equation	24
An efficient iterative method for solving a class of constrained tensor least squares problem	24
High-order and mass-conservative regularized implicit-explicit relaxation Runge-Kutta methods for the low regularity Schrödinger equations	23
Structure-preserving numerical methods for phase-field surfactant models based on the supplemental variable method (SVM)	23
Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions	23
PiTSBiCG: Parallel in time Stable Bi-Conjugate gradient algorithm	23
Derivative-free convergence analysis for Steffensen-type schemes for nonlinear equations	22

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

Instability analysis and regularization approximation to the forward/backward problems for fractional damped wave equations with random noise	13
Numerical analysis of block-by-block method for a class of fractional relaxation-oscillation equations	12
Energetic spectral-element time marching methods for phase-field nonlinear gradient systems	12
Numerical event location techniques in discontinuous differential algebraic equations	12
Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization	12
Editorial Board	12
Robust globally divergence-free HDG finite element method for steady thermally coupled incompressible MHD flow	12
Loewner integer-order approximation of MIMO fractional-order systems	12
Editorial Board	12
A new class of high-order methods for space-fractional reaction-diffusion systems with applications to the Gray-Scott model	12
Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense	12
Fractional Romanovski–Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions	11
Algebraic conditions for stability in Runge-Kutta methods and their certification via semidefinite programming	11
Analysis of a finite-volume scheme for a single-species biofilm model	11
Linear minimum-variance approximants for noisy data	11
A Riemannian gradient ascent algorithm with applications to orthogonal approximation problems of symmetric tensors	11
A highly accurate symplectic-preserving scheme for Gross-Pitaevskii equation	11
Non-uniform UE-spline quasi-interpolants and their application to the numerical solution of integral equations	11
Shape optimization of Stokes flows by a penalty method	11
Approximation of piecewise smooth functions by nonlinear bivariate C2 quartic spline quasi-interpolants on criss-cross triangulations	10
Numerical derivation of multivariate functions	10
Solving phase-field models in the tensor train format to generate microstructures of bicontinuous composites	10
Numerical approximation for the MHD equations with variable density based on the Gauge-Uzawa method	10
An efficient Fourier-Laguerre spectral-Galerkin method for exterior problems of two-dimensional complex obstacles	10
Implicit EXP-RBF techniques for modeling unsaturated flow through soils with water uptake by plant roots	10
Convergence analysis of weak Galerkin finite element variable-time-step BDF2 implicit scheme for parabolic equations	10
An L2-finite element approximation of the solution to div/curl-systems with nonempty null space	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
Analysis for implicit and implicit-explicit ADER and DeC methods for ordinary differential equations, advection-diffusion and advection-dispersion equations	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
A method for computing a few eigenpairs of large generalized eigenvalue problems	10
Mixed approximation of nonlinear acoustic equations: Well-posedness and a priori error analysis	9
Weakly singular Volterra integral equation with combined logarithmic-power-law kernel: Analytical and computational consideration	9
Superconvergent method for weakly singular Fredholm-Hammerstein integral equations with non-smooth solutions and its application	9
An inexact ADMM with proximal-indefinite term and larger stepsize	9
A higher-order solver for the FitzHugh-Nagumo equation by combining nonstandard and compact finite difference scheme	9
Jacobian-free implicit MDRK methods for stiff systems of ODEs	9
Error estimate for the Cahn-Hilliard equation by the SAV-Runge-Kutta scheme	9
Editorial Board	9
Superconvergent scheme for a system of green Fredholm integral equations	9
A mixed discontinuous Galerkin method for the Biot equations	9
Two linear energy-preserving compact finite difference schemes for coupled nonlinear wave equations	9
A stable multistep scheme for the transient Wigner equation: Efficient handling of scattering	9
A three level linearized compact difference scheme for a fourth-order reaction-diffusion equation	9
Approximation of the Tikhonov regularization parameter through Aitken's extrapolation	9
A numerical study of WENO approximations to sharp propagating fronts for reaction-diffusion systems	9
Numerical simulation of nonlinear fractional delay differential equations with Mittag-Leffler kernels	9
Stability and convergence analysis of the exponential time differencing scheme for a Cahn–Hilliard binary fluid-surfactant model	9
Space-time parallel solvers for reaction-diffusion problems forming Turing patterns	9
Nonnegative iterative reweighted method for sparse linear complementarity problem	9
Discrete maximum principles with computable mesh conditions for nonlinear elliptic finite element problems	9
A two-grid characteristic block-centered finite difference method for Darcy-Forchheimer slightly compressible miscible displacement problem	9
A space-time Petrov-Galerkin method for the two-dimensional regularized long-wave equation	8
Symbol based convergence analysis in block multigrid methods with applications for Stokes problems	8
The weak Galerkin finite element method for Stokes interface problems with curved interface	8
Editorial Board	8
Adaptive Hermite spectral methods in unbounded domains	8
Fifth-order well-balanced positivity-preserving finite difference AWENO scheme with hydrostatic reconstruction for hyperbolic chemotaxis models	8
A novel efficient generalized energy-optimized exponential SAV scheme with variable-step BDFk method for gradient flows	8
Stability and convergence of spatial discrete stabilized finite volume method for the unsteady incompressible magnetohydrodynamics equations	8
A mixed FEM for the coupled Brinkman–Forchheimer/Darcy problem	8
Fast numerical scheme for the time-fractional option pricing model with asset-price-dependent variable order	8
Extragradient algorithms for solving equilibrium problems on Hadamard manifolds	8
Fifth-order equations of Camassa-Holm type and pseudo-peakons	8
Strong stochastic Runge-Kutta–Munthe-Kaas methods for nonlinear Itô SDEs on manifolds	8
Multi-step Hermite-Birkhoff predictor-corrector schemes	8
Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise	8
Speckle noise removal via learned variational models	8
Mathematical modelling of problems with delay and after-effect	8
Comparison of exponential integrators and traditional time integration schemes for the shallow water equations	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
Fast and reliable algorithms for computing the zeros of Althammer polynomials	8
Superconvergence of unfitted Rannacher-Turek nonconforming element for elliptic interface problems	8
On the convergence of the primal hybrid finite element method on quadrilateral meshes	8
Spectral-Galerkin methods for the fully nonlinear Monge-Ampère equation	8
Geometric transformation of finite element methods: Theory and applications	8
A 3D Haar wavelet method for a coupled degenerate system of parabolic equations with nonlinear source coupled with non-linear ODEs	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
On stability and error bounds of an explicit in time higher-order vector compact scheme for the multidimensional wave and acoustic wave equations	8
Parallel generalized Lagrange–Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints	8
Tikhonov regularization with conjugate gradient least squares method for large-scale discrete ill-posed problem in image restoration	8
Romanovski-Jacobi spectral schemes for high-order differential equations	8
Fractional graph Laplacian for image reconstruction	8
Fractional convection-diffusion systems in complex 2D and 3D geometries: A Bernoulli polynomial-based kernel method	8
New decoupled method for the evolutionary dual-porosity-Stokes model with Beavers-Joseph interface conditions	8
Efficient estimates for matrix-inverse quadratic forms	8
On the separation of solutions to fractional differential equations of order α ∈ (1,2)	8
An unconditionally stable second-order scheme for Maxwell's equations in the Cole–Cole dispersive medium	8
A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers') equations	8
Computation of the eigenvalues for the angular and Coulomb spheroidal wave equation	8
Optimal control for Darcy's equation in a heterogeneous porous media	8
Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations	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
An efficient two-grid algorithm based on Newton iteration for the stationary inductionless magnetohydrodynamic system	8
Efficient spectral and spectral element methods for Sobolev equation with diagonalization technique	8
A new absorbing layer approach for solving the nonlinear Schrödinger equation	7
A new approach for numerical solution of Kuramoto-Tsuzuki equation	7
A TS-LRBFCM structure-preserving scheme for stochastic coupled nonlinear Schrödinger equations	7
Numerical approximation of constrained optimal control problems in delayed systems using an enhanced Rayleigh-Ritz algorithm	7
A tensor formalism for multilayer network centrality measures using the Einstein product	7
Editorial Board	7
A linear second order unconditionally maximum bound principle-preserving scheme for the Allen-Cahn equation with general mobility	7
Variational multiscale stabilized finite element analysis of transient MHD Stokes equations with application to multiply driven cavity flow	7
Superconvergence of the local discontinuous Galerkin method with generalized numerical fluxes for one-dimensional linearized KdV equations	7
A numerical modeling and its computational implementing simulation for generating distributions of the complicated random variable transformations with applications	7
Editorial Board	7
A penalty-type method for solving inverse optimal value problem in second-order conic programming	7
Property-preserving numerical approximation of a Cahn–Hilliard–Navier–Stokes model with variable density and degenerate mobility	7
Fast algorithms of compact scheme for solving parabolic equations and their application	7
Sparse approximation of complex networks	7
On the homogeneous torsion problem for heterogeneous and orthotropic cross-sections: Theoretical and numerical aspects	7
Solving symmetric and positive definite second-order cone linear complementarity problem by a rational Krylov subspace method	7
Numerical methods in modeling with supersaturated designs	7
Structured ramp secret sharing schemata over rings of real polynomials	7
Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE	7
Numerical solution of delay Volterra functional integral equations with variable bounds	7
Innovative coupling of s-stage one-step and spectral methods for non-smooth solutions of nonlinear problems	7
Energy stability and error estimate of the RKMK2e scheme for the extended Fisher–Kolmogorov equation	7
Issues with positivity-preserving Patankar-type schemes	7
Multicomponent signals interference detection exploiting HP-splines frequency parameter	7
Numerical analysis of finite element method for a stochastic active fluids model	7
Improved third-order WENO scheme with a new reference smoothness indicator	7
Efficient inversion of matrix ϕ-functions of low order	7
Stabilization and adaptive FEM for optimal control problems of stationary convection-dominated diffusion equations on surfaces	7
Variable sample-size operator extrapolation algorithm for stochastic mixed variational inequalities	7
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
A 3D face interpolated discretisation method for simulating anisotropic diffusive processes on meshes coming from wood morphology	6
A novel least squares approach generating approximations orthogonal to the null space of the operator	6
Compact difference method for Euler-Bernoulli beams and plates with nonlinear nonlocal damping	6
Isogeometric analysis of diffusion problems on random surfaces	6
Split-step theta Milstein methods for SDEs with non-globally Lipschitz diffusion coefficients	6
Numerical analysis of evolutionary mixed variational problems: Applications in modeling asphalt pavements with interlayer frictional contact conditions	6
Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time	6
Uniformly convergent NIPG method for singularly perturbed convection diffusion problem on Shishkin type meshes	6
Editorial Board	6
Refined bounds on the convergence of block Lanczos method for extended trust-region subproblem	6
A truncated three-term conjugate gradient method with complexity guarantees with applications to nonconvex regression problem	6
On iterative methods based on Sherman-Morrison-Woodbury splitting	6
Weighted least squares collocation methods	6
A positivity-preserving well-balanced wet-dry front reconstruction for shallow water equations on rectangular grids	6
Sinc approximation method for solving system of singularly perturbed parabolic convection-diffusion equations	6
Editorial Board	6
Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics	6
Editorial Board	6
Unconditional energy-stable method for the Swift–Hohenberg equation over arbitrarily curved surfaces with second-order accuracy	6
Mixed finite elements of higher-order in elastoplasticity	6
Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation	6
A mixed finite element method for a class of evolution differential equations with p-Laplacian and memory	6
Collocation boundary value methods for auto-convolution Volterra integral equations	6
The two-grid hybrid high-order method for the nonlinear strongly damped wave equation on polygonal mesh and its reduced-order model	6
Optimal error estimates and stability of a local discontinuous Galerkin method for the stochastic two-dimensional KdV equation	6
Penalty hyperparameter optimization with diversity measure for nonnegative low-rank approximation	6
A stabilized finite element method for the Stokes–Temperature coupled problem	6
Convergence analysis of Hermite subdivision schemes of any arity	6
Stability analysis of ef Gaussian direct quadrature methods for Volterra integral equations	6
Computing integrals with an exponential weight on the real axis in floating point arithmetic	6
Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations	6
Computation of parabolic cylinder functions having complex argument	6
Discretization methods and their extrapolations for two-dimensional nonlinear Volterra-Urysohn integral equations	6
Compact difference scheme for the two-dimensional semilinear wave equation	5
Hasimoto transformation of general flows expressed in the Frenet frame	5
A well-balanced positivity-preserving multidimensional central scheme for shallow water equations	5
A decoupled linear, mass- and energy-conserving relaxation-type high-order compact finite difference scheme for the nonlinear Schrödinger equation	5
On solving some Cauchy singular integral equations by de la Vallée Poussin filtered approximation	5
A Chebyshev multidomain adaptive mesh method for reaction-diffusion equations	5
On the numerical solutions of some identification problems for one- and multidimensional parabolic equations backward in time	5
A polynomial collocation method for a class of singular fractional differential equations	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
A general alternating-direction implicit Newton method for solving continuous-time algebraic Riccati equation	5