Numerical Methods for Nonlinear Partial Differential Equations
Soren Bartels
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Description for Numerical Methods for Nonlinear Partial Differential Equations
Hardback. Series: Springer Series in Computational Mathematics. Num Pages: 393 pages, 122 black & white illustrations, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 249 x 165 x 27. Weight in Grams: 736.
The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously ... Read more
The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Hardback
Publication date
2015
Series
Springer Series in Computational Mathematics
Condition
New
Weight
735g
Number of Pages
393
Place of Publication
Cham, Switzerland
ISBN
9783319137964
SKU
V9783319137964
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Numerical Methods for Nonlinear Partial Differential Equations
This book presents an ambitious overview of modern results and trends in the field of numerical methods for nonlinear PDEs, with an emphasis on the finite element method. ... The target audience of the book is postgraduates and experienced researchers. ... this is an excellent monograph describing methods found at the intersection of numerical PDEs and the calculus of variations. ... Read more