Initial Value Methods for Boundary Value Problems. Theory and Application of Invariant Imbedding [Mathematics in Science and Engineering, Volume 100]

Meyer, Gunter H.

ISBN 10: 0124929508 / ISBN 13: 9780124929500

Published by Academie Press, New York London, 1973

About this Item

Leinen Originalleineneinband mit vergoldetem Rücken- und Deckeltitel. Der Einband ist sauber und gut, der Kopfschnitt ist etwas verstaubt. Die Seiten sind sauber und frisch. Der Schutzumschlag ist etwas berieben mit leichten Gebrauchsspuren. This book develops the numerical and analytical solution of boundary value problems for ordinary differential equations through conversion into initial value problems. The conversion method is based on an implicit shooting method and leads to the so-called invariant imbedding equations. (Klappentext) Sprache / Language: en XII + 220 Seiten. ca. 23,5 x 15,7 cm.

Seller Inventory # KIE7242

Bibliographic Details

• Title: Initial Value Methods for Boundary Value Problems. Theory and Application of Invariant Imbedding [Mathematics in Science and Engineering, Volume 100]
• Publisher: Academie Press, New York London
• Publication Date: 1973
• ISBN 10: 0124929508
• ISBN 13: 9780124929500
• Edition: 1.Auflage.
• Condition: Gut
• Weight: 562 grams
• Seller catalogs:
  • Naturwissenschaft/Mathematik

About this title

Synopsis

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and, methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. This book covers: best operator approximation, non-Lagrange interpolation, generic Karhunen-Loeve transform, generalised low-rank matrix approximation, optimal data compression, and optimal nonlinear filtering.