Numerical Solutions of Partial Different
β Meis T., Marcowitz U.
π Library
π
1981
π Springer
π English
β¦ LIBER β¦
π
Numerical Solutions of Partial Differential Equations
β Scribed by Silvia Bertoluzza, Silvia Falletta, Giovanni Russo, Chi-Wang Shu
- Publisher
- BirkhΓ€user
- Year
- 2008
- Tongue
- English
- Leaves
- 208
- Series
- Advanced Courses in Mathematics - CRM Barcelona
- Category
- Library
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β¦ Synopsis
This volume offers researchers the opportunity to catch up with important developments in the field of numerical analysis and scientific computing and to get in touch with state-of-the-art numerical techniques.
The book has three parts. The first one is devoted to the use of wavelets to derive some new approaches in the numerical solution of PDEs, showing in particular how the possibility of writing equivalent norms for the scale of Besov spaces allows to develop some new methods. The second part provides an overview of the modern finite-volume and finite-difference shock-capturing schemes for systems of conservation and balance laws, with emphasis on providing a unified view of such schemes by identifying the essential aspects of their construction. In the last part a general introduction is given to the discontinuous Galerkin methods for solving some classes of PDEs, discussing cell entropy inequalities, nonlinear stability and error estimates.
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<p>This book is the result of two courses of lectures given at the University of Cologne in Germany in 1974/75. The majority of the students were not familiar with partial differential equations and functional analysis. This explains why Sections 1, 2, 4 and 12 contain some basic material and result
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