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Loewy Decomposition of Linear Differential Equations
Fritz Schwarz
€ 128.31
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Description for Loewy Decomposition of Linear Differential Equations
Hardback. As the most complete text on closed form solutions of linear partial differential equations, this book's coverage of the generalization of Loewy's decomposition includes more than fifty worked out examples and exercises in addition to their solutions. Series: Texts and Monographs in Symbolic Computation. Num Pages: 248 pages, biography. BIC Classification: PBKJ; TBJ; UYAM. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 15. Weight in Grams: 526.
The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations. ... Read more
The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations. ... Read more
Product Details
Format
Hardback
Publication date
2012
Publisher
Springer Verlag GmbH Austria
Number of pages
248
Condition
New
Series
Texts and Monographs in Symbolic Computation
Number of Pages
232
Place of Publication
Vienna, Austria
ISBN
9783709112854
SKU
V9783709112854
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Loewy Decomposition of Linear Differential Equations
From the reviews: “This monograph pretends to describe the start point for developing a systematic way for solving linear partial differential equations (PDE’s) based on the Loewy’s decomposition method, working in an proper ring of differential operators and including algorithmic alternatives for several problems considered in classic literature. … this monograph is truly a guide book for the problem ... Read more