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...

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Detalles Bibliográficos
Autor principal: Bertoluzza, Silvia
Formato: Livre numérique
Lenguaje:Anglais
Publicado: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Edición:1st ed. 2009.
Colección:Advanced Courses in Mathematics / CRM Barcelona
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Nota: Description d'après consultation du 3 février 2012
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Edition sous un autre format:• Numerical solutions of partial differential equations, [expanded and smoothed version of lecture notes at the Advanced school on numerical solution of partial differential equations, CRM, Bellaterra (Barcelona), November 15th -22nd, 2007], Silvia Bertoluzza, Silvia Faletta, Giovanni Russo ... [et al.], Basel, Birkhäuser, Springer [distributor], 2009, 1 vol. (VIII-201 p.), Advanced courses in mathematics - CRM Barcelona, 978-3-7643-8939-0
Descripción
Sumario: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.
Notas:Description d'après consultation du 3 février 2012
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783764389406
ISSN:2297-0312
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