Discretization of second-order ordinary differential equations with symmetries
From MaRDI portal
Publication:5413193
DOI10.1134/S0965542513080058zbMath1299.34129MaRDI QIDQ5413193
E. I. Kaptsov, Vladimir Dorodnitsyn
Publication date: 28 April 2014
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Symmetries, invariants of ordinary differential equations (34C14) Discrete version of topics in analysis (39A12) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (5)
Invariant difference schemes for the Ermakov system ⋮ Conservative invariant finite‐difference schemes for the modified shallow water equations in Lagrangian coordinates ⋮ Shallow water equations in Lagrangian coordinates: symmetries, conservation laws and its preservation in difference models ⋮ Invariant conservation law-preserving discretizations of linear and nonlinear wave equations ⋮ Discrete shallow water equations preserving symmetries and conservation laws
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of the modified Craig-Sneyd scheme for two-dimensional convection-diffusion equations with mixed derivative term
- Invariance and first integrals of continuous and discrete Hamiltonian equations
- On the linearization of second-order differential and difference equations
- Lie group classification of second-order ordinary difference equations
- Conservative discretizations of the Kepler motion
- Applications of Lie Groups to Difference Equations
- First integrals of difference Hamiltonian equations
- Continuous symmetries of Lagrangians and exact solutions of discrete equations
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Noether-type theorems for difference equations
This page was built for publication: Discretization of second-order ordinary differential equations with symmetries
