Asymptotic solutions of the Cauchy problem with localized initial data for a finite-difference scheme corresponding to the one-dimensional wave equation
DOI10.1134/S0001434619110130zbMath1436.35337OpenAlexW2998313860WikidataQ126469052 ScholiaQ126469052MaRDI QIDQ2304492
Publication date: 12 March 2020
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434619110130
wave equationasymptotic solutionLagrangian manifoldfinite-difference schemenonstandard characteristicsvertical manifold
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for PDEs with pseudodifferential operators (35S10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonstandard characteristics and Maslov's operational method in linear problems concerning unsteady water waves
- Asymptotic solutions of the one-dimensional linearized Korteweg-de Vries equation with localized initial data
- Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations
- Methods of noncommutative analysis: theory and applications
- Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients
- Propagation of a linear wave created by a spatially localized perturbation in a regular lattice and punctured Lagrangian manifolds
- Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions
- Group Velocity in Finite Difference Schemes
- A Dispersion Analysis for Difference Schemes: Tables of Generalized Airy Functions
- Non-standard characteristics in asymptotic problems
- New integral representations of the Maslov canonical operator in singular charts
This page was built for publication: Asymptotic solutions of the Cauchy problem with localized initial data for a finite-difference scheme corresponding to the one-dimensional wave equation