Algorithmic lie theory for solving ordinary differential equations. (©2008)

• Record Type: Book
• Further Information: Note: Fritz Schwarz.
• Other Names: Schwarz, Fritz, 1941-
• Contents: INTRODUCTION; ; LINEAR DIFFERENTIAL EQUATIONS; Linear Ordinary Differential Equations; Janet's Algorithm; Properties of Janet Bases; Solving Partial Differential Equations; ; LIE TRANSFORMATION GROUPS; Lie Groups and Transformation Groups; Algebraic Properties of Vector Fields; Group Actions in the Plane; Classification of Lie Algebras and Lie Groups; Lie Systems; ; EQUIVALENCE AND INVARIANTS OF DIFFERENTIAL EQUATIONS; Linear Equations; Nonlinear First-Order Equations; Nonlinear Equations of Second and Higher Order; ; SYMMETRIES OF DIFFERENTIAL EQUATIONS; Transformation of Differential Equations; Symmetries of First-Order Equations; Symmetries of Second-Order Equations; Symmetries of Nonlinear Third-Order Equations; Symmetries of Linearizable Equations; ; TRANSFORMATION TO CANONICAL FORM; First-Order Equations; Second-Order Equations; Nonlinear Third-Order Equations; Linearizable Third-Order Equations; ; SOLUTION ALGORITHMS; First-Order Equations; Second-Order Equations; Nonlinear Equations of Third Order; Linearizable Third-Order Equations; ; CONCLUDING REMARKS; ; APPENDIX A: Solutions to Selected Problems; APPENDIX B: Collection of Useful Formulas; APPENDIX C: Algebra of Monomials; APPENDIX D: Loewy Decompositions of Kamke's Collection; APPENDIX E: Symmetries of Kamke's Collection; APPENDIX F: ALLTYPES Userinterface; ; REFERENCES; ; INDEX
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2008
• Copyright Date: 2008
• Extent: 1 online resource (x, 434 pages), illustrations
• Subjects: 518/.63; Differential equations -- Numerical solutions; Lie algebras; MATHEMATICS -- Numerical Analysis; Differential equations -- Numerical solutions; Lie algebras; Partiella differentialekvationer; Electronic books
• Languages: English
• ISBNs: 9781584888901; 1584888903; 9781584888895
• Related ISBNs: 158488889X
• Notes: Note: Includes bibliographical references (pages 419-430) and index.; Note: Print version record.
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• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.