SEMA SIMAI Springer Series

Numerical Methods for PDEs

State of the Art Techniques

Editors: Di Pietro, Daniele Antonio, Ern, Alexandre, Formaggia, Luca (Eds.)

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  • State-of-the-art numerical techniques
  • Self-contained chapters help the reader through the theory
  • Several applicative examples and implementation guidelines
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  • ISBN 978-3-319-94676-4
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Hardcover $119.99
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  • ISBN 978-3-319-94675-7
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Softcover $119.99
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About this book

This volume gathers contributions from participants of the Introductory School and the IHP thematic quarter on Numerical Methods for PDE, held in 2016 in Cargese (Corsica) and Paris, providing an opportunity to disseminate the latest results and envisage fresh challenges in traditional and new application fields. Numerical analysis applied to the approximate solution of PDEs is a key discipline in applied mathematics, and over the last few years, several new paradigms have appeared, leading to entire new families of discretization methods and solution algorithms. This book is intended for researchers in the field.


About the authors

Daniele Antonio Di Pietro is Full Professor of Numerical Analysis at the Institut Montpelliérain Alexander Grothendieck at the University of Montpellier. He received his Ph.D. in Computational Fluid Mechanics from the University of Bergamo. His research fields include the development and analysis of advanced numerical methods for partial differential equations, with applications to fluid- and solid mechanics and porous media. He is author of one book and over 50 research papers in peer-reviewed journals.

Alexandre Ern is a Senior Researcher at Ecole Nationale des Ponts et Chaussees (France) and at INRIA, and he holds a part-time Professor position in Numerical Analysis at Ecole Polytechnique (France). His contributions encompass mathematical modeling and numerical analysis in computational fluid and solid mechanics with applications in problems related to the environment and energy production. From 2006 to 2012, he has chaired the French National Research Program on Underground nuclear waste storage, and he has ongoing collaborations with several industrial partners. Alexandre Ern has authored three books and over 130 papers in peer-reviewed journals, and he has supervised about 20 PhD students working now in academia or industry.

Luca Formaggia is Professor of Numerical Analysis at the Modelling and Scientific Computing Laboratory (MOX) of the Department of Mathematics of Politecnico di Milano. His scientific work addresses the study of numerical methods for partial differential equations, scientific computing, computational fluid dynamics with applications to computational geosciences, biomedicine and industrial problems. He is the author of more than 90 articles and editor of several books. Currently he is the President of the Italian Society of Applied and Industrial Mathematics and was the Head of the MOX Laboratory from 2012 to 2016.


Table of contents (10 chapters)

Table of contents (10 chapters)
  • An Introduction to Recent Developments in Numerical Methods for Partial Differential Equations

    Pages 1-4

    Di Pietro, Daniele Antonio (et al.)

  • An Introduction to the Theory of M-Decompositions

    Pages 5-29

    Cockburn, Bernardo (et al.)

  • Mimetic Spectral Element Method for Anisotropic Diffusion

    Pages 31-74

    Gerritsma, Marc (et al.)

  • An Introduction to Hybrid High-Order Methods

    Pages 75-128

    Di Pietro, Daniele Antonio (et al.)

  • Distributed Lagrange Multiplier for Fluid-Structure Interactions

    Pages 129-145

    Boffi, Daniele (et al.)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-319-94676-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-319-94675-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-3-030-06896-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Methods for PDEs
Book Subtitle
State of the Art Techniques
Editors
  • Daniele Antonio Di Pietro
  • Alexandre Ern
  • Luca Formaggia
Series Title
SEMA SIMAI Springer Series
Series Volume
15
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-94676-4
DOI
10.1007/978-3-319-94676-4
Hardcover ISBN
978-3-319-94675-7
Softcover ISBN
978-3-030-06896-7
Series ISSN
2199-3041
Edition Number
1
Number of Pages
XV, 312
Number of Illustrations
27 b/w illustrations, 39 illustrations in colour
Topics