Numerical solution of parabolic, second-order differential equations on a computer with parallel computations
โ Scribed by I. N. Molchanov; V. N. Brusnikin
- Publisher
- Springer US
- Year
- 1986
- Tongue
- English
- Weight
- 431 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1573-8337
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๐ SIMILAR VOLUMES
## Abstract Theoretical aspects related to the approximation of the semilinear parabolic equation: $u\_t=\Delta u+f(u)$\nopagenumbers\end, with a finite unknown โblowโupโ time __T__~b~ have been studied in a previous work. Specifically, for __ฮต__ a small positive number, we have considered coupled
a b s t r a c t This paper presents a new technique to solve efficiently initial value ordinary differential equations of the second-order which solutions tend to have a very unstable behavior. This phenomenon has been proved by Souplet et al. in [P. Souplet, Critical exponents, special large-time b
Two different numerical solutions of the two-component kinetic collection equation were implemented on parallel computers. The parallelization approach included domain decomposition and MPI commands for communications. Four different parallel codes were tested. A dynamic decomposition based on an oc