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Methods for parallel integration of stiff systems of odes
| Content Provider | Semantic Scholar |
|---|---|
| Author | Skelboe, Stig |
| Copyright Year | 1992 |
| Abstract | This paper presents a class of parallel numerical integration methods for stiff systems of ordinary differential equations which can be partitioned into loosely coupled sub-systems. The formulas are called decoupled backward differentiation formulas, and they are derived from the classical formulas by restricting the implicit part to the diagnonal sub-system. With one or several sub-systems allocated to each processor, information only has to be exchanged after completion of a step but not during the solution of the nonlinear algebraic equations.The main emphasis is on the formula of order 1, the decoupled implicit Euler formula. It is proved that this formula even for a wide range of multirate formulations has an asymptotic global error expansion permitting extrapolation. Besides, sufficient conditions for absolute stability are presented. |
| Starting Page | 689 |
| Ending Page | 701 |
| Page Count | 13 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/BF01994851 |
| Alternate Webpage(s) | http://www.diku.dk/users/stig/parint2.pdf |
| Alternate Webpage(s) | http://www.diku.dk/~stig/parint2.pdf |
| Alternate Webpage(s) | http://ftp.diku.dk/users/stig/parint2.pdf |
| Alternate Webpage(s) | http://ftp.diku.dk/users/stig/parint2.ps |
| Alternate Webpage(s) | https://doi.org/10.1007/BF01994851 |
| Volume Number | 32 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
