Numerical integration of the vlasov equation
| Autor: | Magdi Shoucri, Georg Knorr |
|---|---|
| Rok vydání: | 1974 |
| Předmět: |
Numerical Analysis
Chebyshev polynomials Physics and Astronomy (miscellaneous) Series (mathematics) Differential equation Applied Mathematics Mathematical analysis Vlasov equation Computer Science Applications Numerical integration Computational Mathematics Nonlinear system Modeling and Simulation Orthogonal polynomials Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Journal of Computational Physics. 14:84-92 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/0021-9991(74)90006-0 |
| Popis: | This work describes a numerical method for the solution of the nonlinear Vlasov equation. The distribution function is expanded in a series of orthogonal polynomials, namely the Chebyshev polynomials. The conditions under which this expansion is valid are discussed. Recurrence effects are eliminated by formally adding a damping term to the eigenvalues of the truncated system. Nonlinear effects have been simulated by an amount of information corresponding to less than 500 “particles.” |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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