scientific article

Publication date: 18 September 1992

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

monograph stability convergence interpolation formulas error bounds finite difference schemes weak global solutions nonlinear pseudo-hyperbolic systems nonlinear systems of partial differential equations systems of nonlinear wave equations discrete functional analysis generalized global solutions systems of ferro-magnetic chains nonlinear evolutional systems nonlinear pseudo-parabolic systems Nonlinear Schrödinger systems

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Nonlinear parabolic equations (35K55) Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Applications of operator theory in numerical analysis (47N40) Applications of functional analysis in numerical analysis (46N40)

Related Items

Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation ⋮ Preasymptotic error analysis of high order interior penalty discontinuous Galerkin methods for the Helmholtz equation with high wave number ⋮ Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation ⋮ A fourth-order compact finite difference scheme for the quantum Zakharov system that perfectly inherits both mass and energy conservation ⋮ Two conservative difference schemes for the generalized Rosenau equation ⋮ Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates ⋮ Domain decomposition schemes with high-order accuracy and unconditional stability ⋮ Pure alternating block explicit-implicit method for the diffusion equation in two space dimensions ⋮ A new conservative difference scheme for the general Rosenau-RLW equation ⋮ Efficient energy-preserving finite difference schemes for the Klein-Gordon-Schrödinger equations ⋮ Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation ⋮ A mass‐ and energy‐preserving numerical scheme for solving coupled Gross–Pitaevskii equations in high dimensions ⋮ An efficient fourth-order accurate conservative scheme for Riesz space fractional Schrödinger equation with wave operator ⋮ Numerical analysis of a linear-implicit average scheme for generalized Benjamin-Bona-Mahony-Burgers equation ⋮ Numerical approach of dispersive shallow water waves with Rosenau-KdV-RLW equation in \((2+1)\)-dimensions ⋮ High order hybrid asymptotic augmented finite volume methods for nonlinear degenerate wave equations ⋮ Efficient eighth‐order accurate energy‐preserving compact difference schemes for the coupled Schrödinger–Boussinesq equations ⋮ Analytical and numerical techniques for initial‐boundary value problems of <scp>Kolmogorov–Petrovsky–Piskunov</scp> equation ⋮ Conservative compact difference scheme for the generalized Korteweg-de Vries equation ⋮ Efficient energy-preserving eighth-order compact finite difference schemes for the sine-Gordon equation ⋮ Uniform error bound of a Crank–Nicolson‐type finite difference scheme for Zakharov system in the subsonic limit regime ⋮ Discrete gevrey regularity attractors and uppers–semicontinuity for a finite difference approximation to the ginzburg–landau equation ⋮ A monotone combination scheme of diffusion equations on polygonal meshes ⋮ Numerical simulation for general rosenau-RLW equation: an average linearized conservative scheme ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Study on convergence and stability of a conservative difference scheme for the generalized Rosenau-KdV equation ⋮ A high-accuracy conservative difference approximation for Rosenau-KdV equation ⋮ Numerical implementation for solving the symmetric regularized long wave equation ⋮ Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime ⋮ A new energy conservative scheme for regularized long wave equation. ⋮ Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D ⋮ A new algorithm for total variation based image denoising ⋮ Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems ⋮ The numerical convergence of the Landau-Lifshitz equations and its simulation ⋮ A linearized element-free Galerkin method for the complex Ginzburg-Landau equation ⋮ Generalized stochastic perturbation technique in engineering computations ⋮ Global regular solutions for Landau-Lifshitz equation ⋮ Numerical analysis of a high-order accurate compact finite difference scheme for the SRLW equation ⋮ Stability and convergence of second-order schemes for the nonlinear epitaxial growth model without slope selection ⋮ Analysis of an element-free Galerkin method for the nonlinear Schrödinger equation ⋮ Unconditional optimal error estimates of conservative methods for Klein-Gordon-Dirac system in two dimensions ⋮ Schwarz domain decomposition method for multidimensional and nonlinear parabolic equations: multidimensional subdomains with overlaps ⋮ Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number ⋮ A non-standard finite difference scheme for a class of predator–prey systems with non-monotonic functional response ⋮ A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method