Found 18,200 Documents (Results 1–100)
Energy-conserving SAV-Hermite-Galerkin spectral scheme with time adaptive method for coupled nonlinear Klein-Gordon system in multi-dimensional unbounded domains. (English) Zbl 07901834
Numerical solutions of KdV and mKDV equations: using sequence and multi-core parallelization implementation. (English) Zbl 07901817
A method of solution of an initial and time dependent boundary value problem for a dynamic string nonlinear differential equation. (English) Zbl 07929019
A refinement of approximate invariant subspaces of matrices based on SVD in high dimensionality reduction and image compression. (English) Zbl 07927135
Numerical approach of Cattaneo equation with time Caputo-Fabrizio fractional derivative. (English) Zbl 07926992
Development of a non-standard finite difference method for solving a fractional decay model. (English) Zbl 07926889
Regular and exploratory resource extraction models considering sustainability. (English) Zbl 07925739
An efficient fractional step numerical algorithm for time-delayed singularly perturbed 2D convection-diffusion-reaction problem with two small parameters. (English) Zbl 07925689
A numerical approach for nonlinear time-fractional diffusion equation with generalized memory kernel. (English) Zbl 07925684
An efficient computational technique for semilinear time-fractional diffusion equation. (English) Zbl 07924848
Tailored finite point method for time fractional convection dominated diffusion problems with boundary layers. (English) Zbl 07924833
Two-grid finite element method for time-fractional nonlinear Schrödinger equation. (English) Zbl 07924449
A linearly-implicit structure-preserving exponential time differencing scheme for Hamiltonian PDEs. (English) Zbl 07924446
One-parameter finite difference methods and their accelerated schemes for space-fractional sine-Gordon equations with distributed delay. (English) Zbl 07924433
Numerical modeling and some optimal control problems of dynamic systems describing contact problems with friction in elasticity. (English) Zbl 07924182
Olaru, Sorin (ed.) et al., Difference equations, discrete dynamical systems and applications. IDCEA 2022. Selected papers based on the presentations at the 27th international conference, Gif-sur-Yvette, France, June 18–22, 2022. Cham: Springer. Springer Proc. Math. Stat. 444, 389-412 (2024).
MSC:
37-XX
Higher-order uniform convergence and order reduction analysis of a novel fractional-step FMM for singularly perturbed 2D parabolic PDEs with time-dependent boundary data. (English) Zbl 07924001
Numerical and mathematical analysis of a nonlinear Schrödinger problem with moving ends. (English) Zbl 07923022
A sixth-order finite difference method for the two-dimensional nonlinear advection diffusion reaction equation. (English) Zbl 07922821
High order conservative finite difference WENO scheme for three-temperature radiation hydrodynamics. (English) Zbl 07922812
MSC:
65M06
Global second-order immersed interface Poisson solver using zero-order local truncation errors. (English) Zbl 07922499
High resolution well-balanced compact implicit numerical scheme for numerical solution of the shallow water equations. (English) Zbl 07921379
Parés, Carlos (ed.) et al., Hyperbolic problems: theory, numerics, applications, HYP2022. Proceedings of the XVIII international conference, Málaga, Spain, June 20–24, 2022. Volume II. Cham: Springer. SEMA SIMAI Springer Ser. 35, 233-243 (2024).
A reduced-dimension method for unknown Crank-Nicolson finite element solution coefficient vectors of elastic wave equation with singular source term. (English) Zbl 07920121
A new \(\alpha\)-robust nonlinear numerical algorithm for the time fractional nonlinear KdV equation. (English) Zbl 07919829
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation. (English) Zbl 07916679
Development of a less dissipative interface variable reconstruction to solve the Euler equations by Q learning method. (English) Zbl 07916204
Modeling two-phase system in complex domains based on phase-field approach with interfacial correction. (English) Zbl 07916202
Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model. (English) Zbl 07915999
High-order BDF convolution quadrature for fractional evolution equations with hyper-singular source term. (English) Zbl 07915983
Direct discontinuous Galerkin method with interface correction for the Keller-Segel chemotaxis model. (English) Zbl 07915982
Stabilized variational formulations of Chorin-type and artificial compressibility methods for the stochastic Stokes-Darcy equations. (English) Zbl 07915961
Local discontinuous Galerkin methods with multistep implicit-explicit time discretization for nonlinear Schrödinger equations. (English) Zbl 07915953
An efficient and accurate penalty-projection eddy viscosity algorithm for stochastic magnetohydrodynamic flow problems. (English) Zbl 07915951
Two finite element approaches for the porous medium equation that are positivity preserving and energy stable. (English) Zbl 07915946
Unconditionally maximum principle-preserving linear method for a mass-conserved Allen-Cahn model with local Lagrange multiplier. (English) Zbl 07912603
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue. (English) Zbl 07912568
MSC:
35Q92
35Q35
35Q79
92C37
92C35
92C50
76D05
76W05
80A19
74F15
35D30
35A15
65M60
65M06
65N30
92-08
Variable-step \(L1\) method combined with time two-grid algorithm for multi-singularity problems arising from two-dimensional nonlinear delay fractional equations. (English) Zbl 07912564
On numerical integration and conservation of cell-centered finite difference method. (English) Zbl 07909821
Correction of a high-order numerical method for approximating time-fractional wave equation. (English) Zbl 07909819
Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates. (English) Zbl 07908400
Highly accurate collocation methodology for solving the generalized Burgers-Fisher’s equation. (English) Zbl 07908209
Boundary stabilization of the Korteweg-de Vries-Burgers equation with an infinite memory-type control and applications: a qualitative and numerical analysis. (English) Zbl 07906412
Meshless analysis of fractional diffusion-wave equations by generalized finite difference method. (English) Zbl 07903720
A fast explicit time-splitting spectral scheme for the viscous Cahn-Hilliard equation with nonlocal diffusion operator. (English) Zbl 07903695
Superconvergence analysis of a robust orthogonal Gauss collocation method for 2D fourth-order subdiffusion equations. (English) Zbl 07902988
Error analysis of serendipity virtual element methods for semilinear parabolic integro-differential equations. (English) Zbl 07902981
Optimal harvesting policy for biological resources with uncertain heterogeneity for application in fisheries management. (English) Zbl 1542.91302
Unsteady suspended sediment distribution in an ice-covered channel through fractional advection-diffusion equation. (English) Zbl 07902670
Solving reaction-diffusion problems with explicit Runge-Kutta exponential methods without order reduction. (English) Zbl 07902499
Unconditionally optimal error estimates of linearized Crank-Nicolson virtual element methods for quasilinear parabolic problems on general polygonal meshes. (English) Zbl 07902494
A rotational velocity-correction projection method for the micropolar Navier-Stokes equations. (English) Zbl 07901908
Numerical solution of a hydrodynamic model with cavitation using finite difference method at arbitrary meshes. (English) Zbl 07901903
Numerical treatment of singular ODEs using finite difference and collocation methods. (English) Zbl 07901902
Innovative coupling of \(\mathrm{s}\)-stage one-step and spectral methods for non-smooth solutions of nonlinear problems. (English) Zbl 07901889
An accurate second-order ADI scheme for three-dimensional tempered evolution problems arising in heat conduction with memory. (English) Zbl 07901876
A structure-preserving local discontinuous Galerkin method for the stochastic KdV equation. (English) Zbl 07901870
On forward and inverse problems for a DCIS model with free boundaries in mathematical biology. (English) Zbl 07901607
Existence of smooth solutions to the 3D Navier-Stokes equations based on numerical solutions by the Crank-Nicolson finite element method. (English) Zbl 07901428
Decoupling numerical method based on deep neural network for nonlinear degenerate interface problems. (English) Zbl 07901320
The mass- and energy-conserving relaxation virtual element method for the nonlinear Schrödinger equation. (English) Zbl 07901133
A linear second-order maximum bound principle preserving finite difference scheme for the generalized Allen-Cahn equation. (English) Zbl 07901132
Construction of a new time-space two-grid method and its solution for the generalized Burgers’ equation. (English) Zbl 07901126
Tempered nonlocal integrodifferential equations with nonsmooth solution data. (English) Zbl 07901103
The splitting characteristic finite difference domain decomposition scheme for solving time-fractional MIM nonlinear advection-diffusion equations. (English) Zbl 07900967
Time two-grid fitted scheme for the nonlinear time fractional Schrödinger equation with nonsmooth solutions. (English) Zbl 07900543
On the Test Results of a Method of Solution of the Nonlinear Integro-Differential Equation of String Oscillation. (English) Zbl 07900236
Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second-order scheme. (English) Zbl 07899985
Optimal convergent analysis of a linearized Euler finite element scheme for the 2D incompressible temperature-dependent MHD-Boussinesq equations. (English) Zbl 07899966
Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms. (English) Zbl 07899929
Biomagnetic flow with magnetic particles over a continuously moving sheet affected by a magnetic dipole. (English) Zbl 07899888
Maximum bound principle for matrix-valued Allen-Cahn equation and integrating factor Runge-Kutta method. (English) Zbl 07899581
A new optimal error analysis of a mixed finite element method for advection-diffusion-reaction Brinkman flow. (English) Zbl 07899543
Positivity preserving and mass conservative projection method for the Poisson-Nernst-Planck equation. (English) Zbl 07899526
Enhanced heat and Mass transfer in porous media with Oldroyd-B complex nano-fluid flow and heat source. (English) Zbl 07899267
A primal-dual active set approach to the valuation of American options in regime-switching models: numerical solutions and convergence analysis. (English) Zbl 07899235
A new type of simplified inverse Lax-Wendroff boundary treatment. I: Hyperbolic conservation laws. (English) Zbl 07899018
Increasingly high-order hybrid multi-resolution WENO schemes in multi-dimensions. (English) Zbl 07899003
Optimal convergence analysis of the virtual element methods for viscoelastic wave equations with variable coefficients on polygonal meshes. (English) Zbl 07896745
Modeling the process of pollutant spread in the atmosphere with account for the capture of particles by vegetation elements. (English) Zbl 07896210
Local equilibrium approach in the problem of the dynamics of a plane turbulent wake in a passively stratified medium. (Russian. English summary) Zbl 07895616
Sib. Zh. Ind. Mat. 27, No. 1, 16-28 (2024); translation in J. Appl. Ind. Math. 18, No. 1, 36-46 (2024).
Hybrid finite difference fifth-order multi-resolution WENO scheme for Hamilton-Jacobi equations. (English) Zbl 1542.65094
MSC:
65M06
CN ADI fast algorithm on non-uniform meshes for the three-dimensional nonlocal evolution equation with multi-memory kernels in viscoelastic dynamics. (English) Zbl 07894914
Approximate solutions to the nonlinear hyperbolic population balance equation: convergence, error estimate and numerical simulations. (English) Zbl 07894006
Numerical analysis of linearly implicit Euler method for age-structured SIS model. (English) Zbl 1542.92147
On the finite difference method with penalty for numerical solution of PDEs over curved domains. (English) Zbl 1542.65134
Discrete maximal regularity for the discontinuous Galerkin time-stepping method without logarithmic factor. (English) Zbl 07892756
Unconditional and optimal pointwise error estimates of finite difference methods for the two-dimensional complex Ginzburg-Landau equation. (English) Zbl 07892705
FDM-based alternating iterative algorithms for inverse BVPs in 2D steady-state anisotropic heat conduction with heat sources. (English) Zbl 07890891
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