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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2001
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/math/0102218 |
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| _version_ | 1866911217210097664 |
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| author | Garbey, M. Kaper, H. G. Romanyukha, N. |
| author_facet | Garbey, M. Kaper, H. G. Romanyukha, N. |
| contents | In this paper we present a fast algorithm for the numerical solution of systems of reaction-diffusion equations, $\partial_t u + a \cdot \nabla u = Δu + F (x, t, u)$, $x \in Ω\subset \mathbf{R}^3$, $t > 0$. Here, $u$ is a vector-valued function, $u \equiv u(x, t) \in \mathbf{R}^m$, $m$ is large, and the corresponding system of ODEs, $\partial_t u = F(x, t, u)$, is stiff. Typical examples arise in air pollution studies, where $a$ is the given wind field and the nonlinear function $F$ models the atmospheric chemistry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0102218 |
| institution | arXiv |
| publishDate | 2001 |
| record_format | arxiv |
| spellingShingle | A fast solver for systems of reaction-diffusion equations Garbey, M. Kaper, H. G. Romanyukha, N. Numerical Analysis Dynamical Systems 35K57; 65M12 In this paper we present a fast algorithm for the numerical solution of systems of reaction-diffusion equations, $\partial_t u + a \cdot \nabla u = Δu + F (x, t, u)$, $x \in Ω\subset \mathbf{R}^3$, $t > 0$. Here, $u$ is a vector-valued function, $u \equiv u(x, t) \in \mathbf{R}^m$, $m$ is large, and the corresponding system of ODEs, $\partial_t u = F(x, t, u)$, is stiff. Typical examples arise in air pollution studies, where $a$ is the given wind field and the nonlinear function $F$ models the atmospheric chemistry. |
| title | A fast solver for systems of reaction-diffusion equations |
| topic | Numerical Analysis Dynamical Systems 35K57; 65M12 |
| url | https://arxiv.org/abs/math/0102218 |