Applied Numerical Mathematics

Article	Citations
PiTSBiCG: Parallel in time Stable Bi-Conjugate gradient algorithm	52
Editorial Board	50
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility	48
Editorial preface: Recent advances in numerical algebra with interdisciplinary applications	47
Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions	43
A linear, high-order, and unconditionally energy stable scheme for the epitaxial thin film growth model without slope selection	43
Fractal properties of 4-point interpolatory subdivision schemes and wavelet scattering transform for signal classification	40
Matrix transfer technique for anomalous diffusion equation involving fractional Laplacian	39
A highly accurate algorithm for retrieving the predicted behavior of problems with piecewise-smooth initial data	39
A fast difference scheme for the variable coefficient time-fractional diffusion wave equations	36
Geometric continuous-stage exponential energy-preserving integrators for charged-particle dynamics in a magnetic field from normal to strong regimes	36
Implicit-explicit second derivative general linear methods with strong stability preserving explicit part	35
Solving tensor absolute value equation	34
Weighted chained graphs and some applications	33
An efficient iterative method for solving a class of constrained tensor least squares problem	31
A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics	30
An accurate second-order ADI scheme for three-dimensional tempered evolution problems arising in heat conduction with memory	28
A perturbed twofold saddle point-based mixed finite element method for the Navier-Stokes equations with variable viscosity	28
An approach to adaptive refinement for the RBF-FD method for 2D elliptic equations	28
Comparison of two finite element schemes for a chemo-repulsion system with quadratic production	27
An explicit stable finite difference method for the Allen–Cahn equation	27
Foundations of space-time finite element methods: Polytopes, interpolation, and integration	26
Editorial Board	26
Explicit two-step peer methods with reused stages	25
A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients	25

Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations	25
A finite volume method for a nonlocal thermistor problem	24
On the improvement of the triangular Shepard method by non conformal polynomial elements	23
An adaptive modified three-term conjugate gradient method with global convergence	22
Monte Carlo method for the Cauchy problem of fractional diffusion equation concerning fractional Laplacian	22
The inverse source problem of Cherenkov radiation model	21
A numerical scheme for a partial differential system motivated by light-triggered drug delivery	21
Penalty decoupled iterative methods for the stationary natural convection equations with different Rayleigh numbers	20
A new multiphysics finite element method for a quasi-static poroelasticity model	20
Mixed virtual element methods for elliptic optimal control problems with boundary observations in L2(Γ)	20
On a nonlinear energy-conserving scalar auxiliary variable (SAV) model for Riesz space-fractional hyperbolic equations	19
High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation	19
The weak Galerkin method for the miscible displacement of incompressible fluids in porous media on polygonal mesh	19
The sine and cosine diffusive representations for the Caputo fractional derivative	18
A numerical method for Ψ-fractional integro-differential equations by Bell polynomials	18
Recovering the weight function in distributed order fractional equation from interior measurement	17
An implicit semi-linear discretization of a bi-fractional Klein–Gordon–Zakharov system which conserves the total energy	17
A long-time behavior preserving numerical scheme for age-of-infection epidemic models with heterogeneous mixing	17
Editorial Board	16
An error estimate for finite element approximation to elliptic PDEs with discontinuous Dirichlet boundary data	16
Efficient numerical methods for Riesz space-fractional diffusion equations with fractional Neumann boundary conditions	16
Structured spectral algorithm with a nonmonotone line search for nonlinear least squares	16
Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method	16
Identification of an unknown spatial source function in a multidimensional hyperbolic partial differential equation with interior degeneracy	15
Fast alternating fitting methods for trigonometric curves for large data sets	15
An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation	15
Adaptive H-matrix computations in linear elasticity	15
Optimal general Hermite-Hadamard-type inequalities in a ball and their applications in multidimensional numerical integration	15
Lowest-degree robust finite element schemes for inhomogeneous bi-Laplace problems	15
Detection of dead cores for reaction-diffusion equations with a non-smooth nonlinearity	15
Spectral computation with third-order tensors using the t-product	15
Analysis and numerical solution of the generalized proportional fractional Cauchy problem	15
A GPU-accelerated Lagrangian method for solving the Liouville equation in random differential equation systems	14
A preconditioned fast finite element approximation to variable-order time-fractional diffusion equations in multiple space dimensions	14
A novel Petrov-Galerkin method for a class of linear systems of fractional differential equations	14
Galerkin finite element method for damped nonlinear Schrödinger equation	14
Linear implicit finite difference methods with energy conservation property for space fractional Klein-Gordon-Zakharov system	14
Uniform convergence of finite element methods on Bakhvalov-type meshes in the case of N−1 ≤ ε	14
A class of two-step collocation methods for Volterra integro-differential equations	14
Uniform error bounds of exponential wave integrator methods for the long-time dynamics of the Dirac equation with small potentials	14
Superconvergent postprocessing of the C1-conforming finite element method for fourth-order boundary value problems	14
A new algorithm for computing path integrals and weak approximation of SDEs inspired by large deviations and Malliavin calculus	14
Numerical solution for a generalized form of nonlinear cordial Volterra integral equations using quasilinearization and Legendre-collocation methods	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
Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations	14
A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers	14
Numerical properties of solutions of LASSO regression	14
A parameter robust reconstruction nonconforming virtual element method for the incompressible poroelasticity model	14
A block α-circulant based preconditioned MINRES method for wave equations	14
Temporal error analysis of Euler semi-implicit scheme for the magnetohydrodynamics equations with variable density	13

Shape optimization of Stokes flows by a penalty method	13
A novel regularized model for the logarithmic Klein-Gordon equation	13
Editorial Board	13
The double absorbing boundary method for the Helmholtz equation	13
Numerical event location techniques in discontinuous differential algebraic equations	13
Numerical analysis of block-by-block method for a class of fractional relaxation-oscillation equations	13
Editorial Board	13
l1-weighted regularization for the problem of recovering sparse initial conditions in parabolic equations from final measurements	13
Editorial Board	13
Instability analysis and regularization approximation to the forward/backward problems for fractional damped wave equations with random noise	13
An interface penalty parameter free nonconforming cut finite element method for elliptic interface problems	13
A multi-parameter parallel ADMM for multi-block linearly constrained separable convex optimization	13
A new preconditioned AOR-type method for M-tensor equation	13
Editorial Board	13
Sumudu Lagrange-spectral methods for solving system of linear and nonlinear Volterra integro-differential equations	13
Thermodynamics of thermoviscoelastic solids of grade 3	13
Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization	13
Non-uniform UE-spline quasi-interpolants and their application to the numerical solution of integral equations	12
Energetic spectral-element time marching methods for phase-field nonlinear gradient systems	12
Algebraic conditions for stability in Runge-Kutta methods and their certification via semidefinite programming	12
Editorial Board	12
A Riemannian gradient ascent algorithm with applications to orthogonal approximation problems of symmetric tensors	12
Implicit EXP-RBF techniques for modeling unsaturated flow through soils with water uptake by plant roots	12
Editorial Board	12
Analysis of a finite-volume scheme for a single-species biofilm model	12
A geometric probability randomized Kaczmarz method for large scale linear systems	11
A numerical scheme for a class of generalized Burgers' equation based on Haar wavelet nonstandard finite difference method	11
Loewner integer-order approximation of MIMO fractional-order systems	11
Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense	11
An efficient Fourier-Laguerre spectral-Galerkin method for exterior problems of two-dimensional complex obstacles	11
Explicit methods based on barycentric rational interpolants for solving non-stiff Volterra integral equations	11
Approximation of piecewise smooth functions by nonlinear bivariate C2 quartic spline quasi-interpolants on criss-cross triangulations	11
Fractional Romanovski–Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions	11
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	11
Penalty method for indifference pricing of American option in a liquidity switching market	11
Accelerated homotopy perturbation iteration method for a non-smooth nonlinear ill-posed problem	11
A numerical method for linear Volterra integral equations on infinite intervals and its application to the resolution of metastatic tumor growth models	11
Superconvergent scheme for a system of green Fredholm integral equations	10
A new class of G(ϵ)-symplectic general linear methods	10
Reduced order multirate schemes for coupled differential-algebraic systems	10
Weakly singular Volterra integral equation with combined logarithmic-power-law kernel: Analytical and computational consideration	10
Numerical approximation for the MHD equations with variable density based on the Gauge-Uzawa method	10
A Self-Scaling G-transformation for weighted least squares problems	10
A novel approach of superconvergence analysis of the bilinear-constant scheme for time-dependent Stokes equations	10
Superconvergent method for weakly singular Fredholm-Hammerstein integral equations with non-smooth solutions and its application	10
A three level linearized compact difference scheme for a fourth-order reaction-diffusion equation	10
A numerical proof algorithm for the non-existence of solutions to elliptic boundary value problems	10
Convergence analysis of volume preserving scheme for mass based coalescence equation	10
Efficient space-time Legendre rational spectral method for parabolic problems in unbounded domains	10
Solving phase-field models in the tensor train format to generate microstructures of bicontinuous composites	10
Stability and convergence analysis of the exponential time differencing scheme for a Cahn–Hilliard binary fluid-surfactant model	10
Jacobian-free implicit MDRK methods for stiff systems of ODEs	10
An enriched Galerkin-characteristics finite element method for convection-dominated and transport problems	10
Fast difference scheme for the reaction-diffusion-advection equation with exact artificial boundary conditions	10
A method for computing a few eigenpairs of large generalized eigenvalue problems	10
A weak approximation method for irregular functionals of hypoelliptic diffusions	10
Spectral-Galerkin methods for the fully nonlinear Monge-Ampère equation	9
A novel efficient generalized energy-optimized exponential SAV scheme with variable-step BDFk method for gradient flows	9
An improved Kellogg-Tsan solution decomposition in numerical methods for singularly perturbed convection-diffusion problems	9
A numerical study of WENO approximations to sharp propagating fronts for reaction-diffusion systems	9
Numerical derivation of multivariate functions	9
Numerical simulation of nonlinear fractional delay differential equations with Mittag-Leffler kernels	9
An inexact ADMM with proximal-indefinite term and larger stepsize	9
Computation of the eigenvalues for the angular and Coulomb spheroidal wave equation	9
Convergence analysis of the hp-version spectral collocation method for a class of nonlinear variable-order fractional differential equations	9
Numerical analysis of a dual-phase-lag model with microtemperatures	9
A two-grid characteristic block-centered finite difference method for Darcy-Forchheimer slightly compressible miscible displacement problem	9
Nyström methods for approximating the solutions of an integral equation arising from a problem in mathematical biology	9
Nonnegative iterative reweighted method for sparse linear complementarity problem	9
Analysis of average bound preserving time-implicit discretizations for convection-diffusion-reaction equation	9
High-order explicit conservative exponential integrator schemes for fractional Hamiltonian PDEs	9
Error estimates of local discontinuous Galerkin method with implicit-explicit Runge Kutta for two-phase miscible flow in porous media	9
Editorial Board	9
Discrete maximum principles with computable mesh conditions for nonlinear elliptic finite element problems	9
The discrete maximum principle and energy stability of a new second-order difference scheme for Allen-Cahn equations	9
Numerical solution of an extra-wide angle parabolic equation through diagonalization of a 1-D indefinite Schrödinger operator with a piecewise constant potential	9
An L2-finite element approximation of the solution to div/curl-systems with nonempty null space	9
Mixed approximation of nonlinear acoustic equations: Well-posedness and a priori error analysis	9
Two linear energy-preserving compact finite difference schemes for coupled nonlinear wave equations	9
A new representation of generalized averaged Gauss quadrature rules	9

A comparison of six numerical methods for integrating a compartmental Hodgkin-Huxley type model	8
Mathematical modelling of problems with delay and after-effect	8
On the separation of solutions to fractional differential equations of order α ∈ (1,2)	8
Editorial Board	8
Adaptive Hermite spectral methods in unbounded domains	8
New decoupled method for the evolutionary dual-porosity-Stokes model with Beavers-Joseph interface conditions	8
Fast and reliable algorithms for computing the zeros of Althammer polynomials	8
Geometric transformation of finite element methods: Theory and applications	8
Symbol based convergence analysis in block multigrid methods with applications for Stokes problems	8
A numerical method for the solution of nonlinear Volterra Hammerstein integral equations of the third-kind	8
Efficient estimates for matrix-inverse quadratic forms	8
Stability and convergence of spatial discrete stabilized finite volume method for the unsteady incompressible magnetohydrodynamics equations	8
Efficient spectral and spectral element methods for Sobolev equation with diagonalization technique	8
On the convergence of the primal hybrid finite element method on quadrilateral meshes	8
Comparison of exponential integrators and traditional time integration schemes for the shallow water equations	8
A parallel, non-spatial iterative, and rotational pressure projection method for the nonlinear fluid-fluid interaction	8
Analysis of versions of relaxed inertial projection and contraction method	8
A mixed FEM for the coupled Brinkman–Forchheimer/Darcy problem	8
Projection methods for approximate solution of a class of nonlinear Fredholm integro-differential equations	8
A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers') equations	8
Parallel generalized Lagrange–Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints	8
Two-dimensional Gegenbauer wavelets for the numerical solution of tempered fractional model of the nonlinear Klein-Gordon equation	8
A 3D Haar wavelet method for a coupled degenerate system of parabolic equations with nonlinear source coupled with non-linear ODEs	8
Approximation of the Tikhonov regularization parameter through Aitken's extrapolation	8
Multi-step Hermite-Birkhoff predictor-corrector schemes	8
Fast numerical scheme for the time-fractional option pricing model with asset-price-dependent variable order	8
Tensorial conditional gradient method for solving multidimensional ill-posed problems	8
Some iterative approaches for Sylvester tensor equations, Part I: A tensor format of truncated Loose Simpler GMRES	8
Speckle noise removal via learned variational models	7
A compact finite difference scheme for fractional Black-Scholes option pricing model	7
Variable stepsize SDIMSIMs for ordinary differential equations	7
Romanovski-Jacobi spectral schemes for high-order differential equations	7
Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method	7
Diffraction integral computation using sinc approximation	7
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation	7
Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem	7
Novel operational matrices for solving 2-dim nonlinear variable order fractional optimal control problems via a new set of basis functions	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
Fifth-order equations of Camassa-Holm type and pseudo-peakons	7
New summation formulas of Fox-Wright-type series containing the polygamma functions	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
Variational multiscale stabilized finite element analysis of transient MHD Stokes equations with application to multiply driven cavity flow	7
Optimal control for Darcy's equation in a heterogeneous porous media	7
Fractional graph Laplacian for image reconstruction	7
A priori error estimates for finite element approximations of regularized level set flows in higher norms	7
An unconditionally stable second-order scheme for Maxwell's equations in the Cole–Cole dispersive medium	7
Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise	7
Second-order BDF ADI Galerkin finite element method for the evolutionary equation with a nonlocal term in three-dimensional space	7
Extragradient algorithms for solving equilibrium problems on Hadamard manifolds	7
A modified nonconforming virtual element with BDM-like reconstruction for the Navier-Stokes equations	7
Strong stochastic Runge-Kutta–Munthe-Kaas methods for nonlinear Itô SDEs on manifolds	7
Fifth-order well-balanced positivity-preserving finite difference AWENO scheme with hydrostatic reconstruction for hyperbolic chemotaxis models	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
The weak Galerkin finite element method for Stokes interface problems with curved interface	7
Stability and convergence of 3-point WSGD schemes for two-sided space fractional advection-diffusion equations with variable coefficients	7
Superconvergence of unfitted Rannacher-Turek nonconforming element for elliptic interface problems	7
A linear second order unconditionally maximum bound principle-preserving scheme for the Allen-Cahn equation with general mobility	7
Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE	7
Tikhonov regularization with conjugate gradient least squares method for large-scale discrete ill-posed problem in image restoration	7
Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation	7
A space-time Petrov-Galerkin method for the two-dimensional regularized long-wave equation	7
Mixed finite elements of higher-order in elastoplasticity	6
Long time Hα	6
A numerical modeling and its computational implementing simulation for generating distributions of the complicated random variable transformations with applications	6
A new Bell function approach to solve linear fractional differential equations	6
Computation of parabolic cylinder functions having complex argument	6
Stability analysis of ef Gaussian direct quadrature methods for Volterra integral equations	6
Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics	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
Efficient inversion of matrix ϕ-functions of low order	6
Stabilization and Adaptive FEM for Optimal Control Problems of Stationary Convection-Dominated Diffusion Equations on Surfaces	6
Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time	6
On the homogeneous torsion problem for heterogeneous and orthotropic cross-sections: Theoretical and numerical aspects	6
A parameter robust fitted mesh finite difference method for a system of two reaction-convection-diffusion equations	6
Issues with positivity-preserving Patankar-type schemes	6
Sparse approximation of complex networks	6
On numerical solution of Fredholm and Hammerstein integral equations via Nyström method and Gaussian quadrature rules for splines	6
On refinement of the generalized Bendixson theorem	6
Isogeometric analysis of diffusion problems on random surfaces	6
Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation	6
A tensor formalism for multilayer network centrality measures using the Einstein product	6
Numerical simulation of fractional evolution model arising in viscoelastic mechanics	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
Property-preserving numerical approximation of a Cahn–Hilliard–Navier–Stokes model with variable density and degenerate mobility	6
A new approach for numerical solution of Kuramoto-Tsuzuki equation	6
A positivity-preserving well-balanced wet-dry front reconstruction for shallow water equations on rectangular grids	6
Adaptive time-stepping schemes for the solution of the Poisson-Nernst-Planck equations	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
Unconditional energy-stable method for the Swift–Hohenberg equation over arbitrarily curved surfaces with second-order accuracy	6
Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations	6
Editorial Board	6