Iterative Solution of Large Sparse Systems of Equations: v.95 (Applied Mathematical Sciences) - Hardcover

Hackbusch, Wolfgang

 
9783540940647: Iterative Solution of Large Sparse Systems of Equations: v.95 (Applied Mathematical Sciences)

Inhaltsangabe

This text presents a description of the current state of modern iterative techniques together with systematic analysis. The first chapters discuss the classical methods. Comprehensive chapters are devoted to semi-iterative techniques (Chebyshev methods), transformations, incomplete decompositions, gradient and conjugate gradient methods, multi-grid methods and domain decomposition techniques (including the additive and multiplicative Schwartz method). All techniques are described algebraically, and each is illustrated by a PASCAL program applicable to a class of model problems.

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This text presents a description of the current state of modern iterative techniques together with systematic analysis. The first chapters discuss the classical methods. Comprehensive chapters are devoted to semi-iterative techniques (Chebyshev methods), transformations, incomplete decompositions, gradient and conjugate gradient methods, multi-grid methods and domain decomposition techniques (including the additive and multiplicative Schwartz method). All techniques are described algebraically, and each is illustrated by a PASCAL program applicable to a class of model problems.

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