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Composite Asymptotic Expansions (Lecture Notes in Mathematics)
Fruchard, Augustin, Schafke, Reinhard
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Description for Composite Asymptotic Expansions (Lecture Notes in Mathematics)
Paperback. Composite asymptotic expansions (CAsEs) imply inner and outer expansions near turning points. Thus our approach is closely related to the method of matched asymptotic expansions. CAsEs offer two unique advantages, however. First, they provide uniform expansions near a turning point and away from it. This book deals with this topic. Series: Lecture Notes in Mathematics. Num Pages: 171 pages, 21 black & white illustrations, biography. BIC Classification: PBK; PBKJ. Category: (P) Professional & Vocational. Dimension: 154 x 237 x 14. Weight in Grams: 286.
The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of singularly perturbed ordinary differential equations near turning points. CAsEs imply inner and outer expansions near turning points. Thus our approach is closely related to the method of matched asymptotic expansions. CAsEs offer two unique advantages, however. First, they provide uniform expansions near a turning point and away from it. Second, ... Read more
The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of singularly perturbed ordinary differential equations near turning points. CAsEs imply inner and outer expansions near turning points. Thus our approach is closely related to the method of matched asymptotic expansions. CAsEs offer two unique advantages, however. First, they provide uniform expansions near a turning point and away from it. Second, ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
161
Place of Publication
Berlin, Germany
ISBN
9783642340345
SKU
V9783642340345
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Composite Asymptotic Expansions (Lecture Notes in Mathematics)
From the reviews: “This memoir develops the theory of Composite Asymptotic Expansions … . The book is very technical, but written in a clear and precise style. The notions are well motivated, and many examples are given. … this book will be of great interest to people studying asymptotics for singularly perturbed differential equations.” (Jorge Mozo Fernández, Mathematical Reviews, ... Read more