Quasi-Tridiagonal Matrices and Type-Insensitive Differences Equations (Classic Reprint) - Couverture souple

Schechter, Samuel

9781330199152: Quasi-Tridiagonal Matrices and Type-Insensitive Differences Equations (Classic Reprint)

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ISBN 10 : 1330199154 ISBN 13 : 9781330199152

Editeur : Forgotten Books, 2018

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�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1330199154
ISBN 13: 9781330199152
Reliure: Broch�
Nombre de pages: 36
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Quasi-Tridiagonal Matrices and Type-Insensitive Differences Equations

Samuel Schechter

Edit� par Forgotten Books, 2018

ISBN 10 : 1330199154 ISBN 13 : 9781330199152

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book details direct methods for solving quasi-tridiagonal matrices and their applications to solving type-insensitive difference equations. These matrices arise in solving finite difference equations of problems for pure elliptic equations and for symmetric positive systems. The author outlines a partitioned decomposition of the matrix into a product of lower and upper triangular matrices, which serves as the foundation of the direct methods proposed. A criterion is given for applying these methods, which may be preferable to iterative methods in certain situations. The author also discusses other methods for special types of matrices involving the inversion of relatively small matrices, extending the applicability of the approach. Through illustrative examples, the book demonstrates the effectiveness of these direct methods for solving boundary problems, such as those involving the Tricomi equation. This book provides valuable insights into solving linear equations arising from finite difference approximations, offering a comprehensive treatment of direct methods and their applications in solving complex problems in applied mathematics and beyond. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N� de r�f. du vendeur 9781330199152_0

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