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Field name	Details
Dewey Class	518 (DDC 23)
Title	Numerical Solutions of Partial Differential Equations ([Ebook]) / by Silvia Bertoluzza, Giovanni Russo, Silvia Falletta, Chi-Wang Shu.
Author	Bertoluzza, Silvia
Added Personal Name	Russo, Giovanni
	Falletta, Silvia
	Shu, Chi-Wang
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2009.
Physical Details	: online resource.
Series	Advanced courses in mathematics, CRM Barcelona
ISBN	9783764389406
Summary Note	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.:
Contents note	I. Wavelets and PDEâs -- Wavelets - The Fundamental Property of Wavelets -Wavelets for PDEs -- II. High Order Shock Capturing Schemes for Balance Laws - The Numerical Flux Function - Nonlinear Reconstruction and High Order Schemes - Central Schemes - Systems with Stiff Source -- III. 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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA users)
Internet Site	http://dx.doi.org/10.1007/978-3-7643-8940-6
Links to Related Works	Subject References: Differential equations, Partial . Mathematics . Numerical Analysis . Partial differential equations . Authors: author . Bertoluzza, Silvia . Falletta, Silvia . Russo, Giovanni . Shu, Chi-Wang . Corporate Authors: SpringerLink (Online service) . Series: Advanced courses in mathematics, CRM Barcelona . Classification: 518 (DDC 23) .

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Numerical Solutions of Partial Differential Equations

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