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Numerical Solutions of Partial Differential Equations
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2009.
|
| Edición: | 1st ed. 2009. |
| Colección: | Advanced Courses in Mathematics - CRM Barcelona,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-7643-8940-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220117023447.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2009 sz | s |||| 0|eng d | ||
| 020 | |a 9783764389406 |9 978-3-7643-8940-6 | ||
| 024 | 7 | |a 10.1007/978-3-7643-8940-6 |2 doi | |
| 050 | 4 | |a QA297-299.4 | |
| 072 | 7 | |a PBKS |2 bicssc | |
| 072 | 7 | |a MAT021000 |2 bisacsh | |
| 072 | 7 | |a PBKS |2 thema | |
| 082 | 0 | 4 | |a 518 |2 23 |
| 100 | 1 | |a Bertoluzza, Silvia. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Numerical Solutions of Partial Differential Equations |h [electronic resource] / |c by Silvia Bertoluzza, Silvia Falletta, Giovanni Russo, Chi-Wang Shu. |
| 250 | |a 1st ed. 2009. | ||
| 264 | 1 | |a Basel : |b Birkhäuser Basel : |b Imprint: Birkhäuser, |c 2009. | |
| 300 | |a X, 202 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Advanced Courses in Mathematics - CRM Barcelona, |x 2297-0312 | |
| 505 | 0 | |a Wavelets and Partial Differential Equations -- What is a Wavelet? -- The Fundamental Property of Wavelets -- Wavelets for Partial Differential Equations -- High-Order Shock-Capturing Schemes for Balance Laws -- Upwind Scheme for Systems -- The Numerical Flux Function -- Nonlinear Reconstruction and High-Order Schemes -- Central Schemes -- Systems with Stiff Source -- Discontinuous Galerkin Methods: General Approach and Stability -- Time Discretization -- Discontinuous Galerkin Method for Conservation Laws -- Discontinuous Galerkin Method for Convection-Diffusion Equations -- Discontinuous Galerkin Method for PDEs Containing Higher-Order Spatial Derivatives. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Numerical analysis. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 1 | 4 | |a Numerical Analysis. |
| 650 | 2 | 4 | |a Differential Equations. |
| 700 | 1 | |a Falletta, Silvia. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Russo, Giovanni. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Shu, Chi-Wang. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783764389413 |
| 776 | 0 | 8 | |i Printed edition: |z 9783764389390 |
| 830 | 0 | |a Advanced Courses in Mathematics - CRM Barcelona, |x 2297-0312 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-7643-8940-6 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||