Algorithms for Elliptic Problems: Efficient Sequential and Parallel Solvers

ISBN-13: 9780792319184 / Angielski / Twarda / 1993 / 292 str.

Marian Vajtersic; Marin Vajtersic

Opis

'Et moi, ..., si j'avait su comment. One service mathematics has ren- en revenir, je n'y serais point alle'. dered the human race. It has put common sense back where it be- Jules Verne longs, on the topmost shelf next to the dusty canister labelIed 'discard- The series is divergent; therefore we ed nonsense'. may be able to do something with Eric T. Bell it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathema- tical physics ... '; 'One service logic has rendered computer science ... '; 'One service category theory has rendered mathematics ... '. All ar- guably true. Alld all statements obtainable this way form part of the raison d 'etre of this serics.

Spis treści

Introduction. 1. Fast Methods for Poisson Equations. 2. Fast Sequential Algorithms for Solving Biharmonic Equations. 3. Parallel Algorithms for Solving Some Elliptic Boundary Value Problems. 4. Implementation of Parallel Algorithms on Specialized Computers. 5. Parallel Multigrid Algorithms.