Numerical Methods for PDEs

State of the Art Techniques

  • Daniele Antonio Di Pietro
  • Alexandre Ern
  • Luca Formaggia

Part of the SEMA SIMAI Springer Series book series (SEMA SIMAI, volume 15)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Daniele Antonio Di Pietro, Alexandre Ern, Luca Formaggia
    Pages 1-4
  3. Bernardo Cockburn, Guosheng Fu, Ke Shi
    Pages 5-29
  4. Marc Gerritsma, Artur Palha, Varun Jain, Yi Zhang
    Pages 31-74
  5. Daniele Antonio Di Pietro, Roberta Tittarelli
    Pages 75-128
  6. Daniele Boffi, Frédéric Hecht, Olivier Pironneau
    Pages 129-145
  7. Michael Bartoň, Victor Calo, Quanling Deng, Vladimir Puzyrev
    Pages 147-170
  8. Erik Burman, Lauri Oksanen
    Pages 171-202
  9. Luca Formaggia, Christian Vergara
    Pages 285-312

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.


High-order methods Non-linear problems Model reduction techniques Adaptive methods Coupled problems

Editors and affiliations

  • Daniele Antonio Di Pietro
    • 1
  • Alexandre Ern
    • 2
  • Luca Formaggia
    • 3
  1. 1.Institut Montpelliérain Alexander Grothendieck, CNRSUniversité MontpellierMontpellierFrance
  2. 2.Universit Paris Est, CERMICS (ENPC)Marne la ValléeFrance
  3. 3.MOX - Dipartimento di MatematicaPolitecnico di MilanoMilanoItaly

Bibliographic information

Industry Sectors
Energy, Utilities & Environment