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Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations
Roberto Ferretti Maurizio Falcone
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Description for Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations
Paperback. A self-contained guide to semi-Lagrangian approximation of Hamilton-Jacobi equations and applications to fluid dynamics, optimal control, and image processing. Num Pages: 330 pages, Illustrations. BIC Classification: PBKS. Category: (U) Tertiary Education (US: College). Dimension: 257 x 176 x 15. Weight in Grams: 582.
With numerous applications, particularly in fluid dynamics, the semi-Lagrangian approximation scheme is an essential part of the numerical analyst's toolkit. This largely self-contained book provides a framework for the semi-Lagrangian strategy for approximation of hyperbolic PDEs, with a special focus on Hamilton–Jacobi equations. The authors provide a rigorous discussion of the theory of viscosity solutions and the concepts underlying the construction and analysis of difference schemes; they then proceed to cover high-order semi-Lagrangian schemes and their applications to problems in fluid dynamics, front propagation, optimal control, and image processing. The text brings together developments from a wide range of sources ... Read more
With numerous applications, particularly in fluid dynamics, the semi-Lagrangian approximation scheme is an essential part of the numerical analyst's toolkit. This largely self-contained book provides a framework for the semi-Lagrangian strategy for approximation of hyperbolic PDEs, with a special focus on Hamilton–Jacobi equations. The authors provide a rigorous discussion of the theory of viscosity solutions and the concepts underlying the construction and analysis of difference schemes; they then proceed to cover high-order semi-Lagrangian schemes and their applications to problems in fluid dynamics, front propagation, optimal control, and image processing. The text brings together developments from a wide range of sources ... Read more
Product Details
Format
Paperback
Publication date
2014
Publisher
SIAM-Society for Industrial and Applied Mathematics
Condition
New
Number of Pages
330
Place of Publication
New York, United States
ISBN
9781611973044
SKU
V9781611973044
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Roberto Ferretti Maurizio Falcone
Maurizio Falcone is a Professor of Numerical Analysis in the Mathematics Department of Sapienza University of Rome. He is an associate editor for the journal Dynamic Games and Applications and was a member of the scientific board of the CASPUR Consortium for Scientific Computing (2002–2012) and on the steering committee of the ESF Network 'Optimization with PDE Constraints' (2008–2012). He ... Read more
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