Wolfgang Hackbusch

Iterative Solution of Large Sparse Systems of Equations (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book presents the description of the state of the modern iterative techniques together with systematic analysis. It discusses classical methods, semi-iterative techniques, incomplete decompositions, conjugate gradient methods, multigrid methods and domain decomposition techniques. Every technique described is illustrated by a Pascal program.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 432
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461242888
• Artikelnr.: 44052691

Autorenporträt

Wolfgang Hackbusch is a Professor in the Scientific Computing department at Max Planck Institute for Mathematics in the Sciences. His research areas include numerical treatment of partial differential equations, numerical treatment of integral equations, and hierarchical matrices.

Inhaltsangabe

Part I: Linear Iterations.- Introduction.- Iterative Methods.- Classical Linear Iterations in the Positive Definite Case.- Analysis of Classical Iterations Under Special Structural Conditions.- Algebra of Linear Iterations.- Analysis of Positive Definite Iterations.- Generation of Iterations. Part II: Semi-Iterations and Krylov Methods.- Semi-Iterative Methods.- Gradient Methods.- Conjugate Gradient Methods and Generalizations.- Part III: Special Iterations.- Multigrid Iterations.- Domain Decomposition and Subspace Methods.- H-LU Iteration.- Tensor-based Methods.- Appendices.