Time dependent transport equation with continuous solutions (I) convergence of discrete ordinates approximation
| Autor: | Degong Song |
|---|---|
| Rok vydání: | 1996 |
| Předmět: |
Applied Mathematics
Operator (physics) Approximation theorem Mathematical analysis General Physics and Astronomy Transportation Statistical and Nonlinear Physics Space (mathematics) Ordinate Convergence (routing) Periodic boundary conditions Convection–diffusion equation Mathematical Physics Subspace topology Mathematics |
| Zdroj: | Transport Theory and Statistical Physics. 25:753-768 |
| ISSN: | 1532-2424 0041-1450 |
| DOI: | 10.1080/00411459608203545 |
| Popis: | The time dependent transport equation with periodic boundary conditions is discussed in the space of continuous functions. A suitable subspace is constructed and it is shown that the corresponding operator A generates a strongly continuous semigroup T F (t) in F = D(A). By virtue of Trotter's approximation theorem of strongly continuous semigroups, the convergence of the discrete ordinates approximation for the time dependent transport equation is rigorously obtained. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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