Solution of ordinary differential equations by continuous groups

>> Google Books

所蔵情報QRコード

Solution of ordinary differential equations by continuous groups / George Emanuel

資料種別:: 図書
出版情報:: Boca Raton, FL : Chapman & Hall/CRC, 2001
形態:: 220 p.
著者名:: Emanuel, George
ISBN:: 9781584882435 [1584882433]
書誌ID:: BA50404570

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references and index

主題:

Continuous groups; Differential equations--Numerical solutions

言語:

英語

目次情報:

Preface

Background / I：

Introduction / 1：

Continuous One-Parameter Groups-I / 2：

Group Concept / 2.1：

Infinitesimal Transformation / 2.2：

Global Group Equations / 2.3：

Problems / 2.4：

Method of Characteristics / 3：

Theory / 3.1：

Examples / 3.2：

Continuous One-Parameter Groups-II / 3.3：

Invariance / 4.1：

The Once-Extended Group / 4.2：

Higher-Order Extended Groups / 4.3：

Ordinary Differential Equations / 4.4：

First-Order ODEs / 5：

Invariance Under a One-Parameter Group / 5.1：

Canonical Coordinates / 5.2：

Special Procedures / 5.3：

Compendium / 5.4：

Higher-Order ODEs / 5.5：

Invariant Equations / 6.1：

Finding the Groups / 6.2：

System of First-Order ODEs / 6.3：

Second-Order ODEs / 6.4：

Classification of Two-Parameter Groups / 7.1：

Invariance and Canonical Coordinates / 7.2：

Appendices / 7.3：

Bibliography and References / A：

The Rotation Group / B：

Basic Relations / C：

Tables / D：

Answers to Selected Problems / E：

Preface

Background / I：

Introduction / 1：

Continuous One-Parameter Groups-I / 2：

Group Concept / 2.1：

Infinitesimal Transformation / 2.2：

続きを見る

東工大ブックレビュー

類似資料:

1 図書 Numerical solution of ordinary differential equations Lapidus, Leon, Seinfeld, John H., 1942- Academic Press	7 図書 Computational methods in ordinary differential equations Lambert, John Denholm Wiley
2 図書 Numerical solution of ordinary differential equations (hard ; pbk.) Fox, L. (Leslie), Mayers, D. F. (David Francis), 1931- Chapman and Hall	8 図書 Numerical methods for ordinary differential equations Butcher, J. C. (John Charles), 1933- Wiley
3 図書 Handbook of exact solutions for ordinary differential equations Poli︠a︡nin, A. D. (Andreĭ Dmitrievich), Zaĭt︠s︡ev, V. F. (Vadim Fedorovich) CRC Press	9 図書 Numerical solutions of differential equations Levy, H. (Hyman), 1889-, Baggott, E. A. (Edward Albert) Dover Publications
4 図書 Modern numerical methods for ordinary differential equations Hall, G. G. (George Garfield), Watt, James Murray Clarendon Press	10 図書 Numerical solution of differential equations Milne, William Edmund, 1890- Wiley, Chapman & Hall
5 図書 Continuous symmetries, Lie algebras, differential equations and computer algebra Steeb, W.-H. World Scientific	11 図書 Analysis of discretization methods for ordinary differential equations (: us ; : gw) Stetter, Hans J., 1930- Springer
6 図書 Numerical quadrature and solution of ordinary differential equations : a textbook for a beginning course in numerical analysis (: us : softcover ; : gw) Stroud, A. H. Springer-Verlag	12 図書 Elementary Lie group analysis and ordinary differential equations Ibragimov, N. Kh. (Nailʹ Khaĭrullovich) Wiley