Techniques for two-time level difference schemes are presented for the numerical solution of first-order hyperbolic partial differential equations. The space derivative is approximated by (i) a low-order, and (ii) a higher-order backward difference replacement, resulting in a system of first-order o
Parallel methods for solving equations
β Scribed by W.L. Miranker
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 730 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0378-4754
No coin nor oath required. For personal study only.
β¦ Synopsis
Two classes of algorithms for equation solving are presented and analyzed. These algorithms have been devised in recent years because of the computational facility of the multiprocessor. The first class consists of parallel search methods while the second class consists of asynchronous methods. The first class of methods are fail safe. That is they always provide an approximation to the root as well as the smallest possible interval (for the work done) guaranteed to contain the root. The second class frees the intrinsically interlocked nature of the more complicated forms of algorithms designed for multiprocessors by omitting the synchrony usually demanded in computation.
π SIMILAR VOLUMES
We present a parallel algorithm for an exact solution of an integer linear system of equations using the single modulus p-adic expansion technique. More specifically, we parallelize an algorithm of Dixon, and present our implementation results on a distributed-memory multiprocessor. The parallel alg