Finite difference approximation for nonlinear Schrödinger equations with application to blow-up computation
From MaRDI portal
Publication:346631
DOI10.1007/S13160-016-0218-8zbMath1365.35161OpenAlexW2418757534MaRDI QIDQ346631
Publication date: 29 November 2016
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13160-016-0218-8
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)
Related Items (3)
A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up ⋮ A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm ⋮ Finite element method for radially symmetric solution of a multidimensional semilinear heat equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation
- Finite volume methods for a Keller-Segel system: discrete energy, error estimates and numerical blow-up analysis
- On the \(L_\infty \) convergence of a difference scheme for coupled nonlinear Schrödinger equations
- Monotonicity properties of the blow-up time for nonlinear Schrödinger equations: numerical evidence
- Semigroups of linear operators and applications to partial differential equations
- On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
- Difference schemes for solving the generalized nonlinear Schrödinger equation
- On the finite-time behaviour for nonlinear Schrödinger equations
- On universality of blow up profile for \(L^2\) critical nonlinear Schrödinger equation
- On the finite difference approximation for a parabolic blow-up problem
- Non-linear semi-groups
- Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator
- A Finite Difference Scheme for Blow-Up Solutions of Nonlinear Wave Equations
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- A Remark on the Blowing-Up of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations
- Numerical Approximation of Blow-Up of Radially Symmetric Solutions of the Nonlinear Schrödinger Equation
- On the approximation of blow-up time for solutions of nonlinear parabolic equations
This page was built for publication: Finite difference approximation for nonlinear Schrödinger equations with application to blow-up computation
