An Introduction to Recent Developments in Numerical Methods for Partial Differential Equations

  • Daniele Antonio Di Pietro
  • Alexandre Ern
  • Luca FormaggiaEmail author
Part of the SEMA SIMAI Springer Series book series (SEMA SIMAI, volume 15)


Numerical Analysis applied to the approximate resolution of Partial Differential Equations (PDEs) has become a key discipline in Applied Mathematics. One of the reasons for this success is that the wide availability of high-performance computational resources and the increase in the predictive capabilities of the models have significantly expanded the range of possibilities offered by numerical modeling.

Novel discretization methods, the solution of ill-posed and nonlinear problems, model reduction and adaptivity are main topics covered by the contributions of this volume. This introductory chapter provides a brief overview of the book and some related references.


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Daniele Antonio Di Pietro
    • 1
  • Alexandre Ern
    • 2
    • 3
  • Luca Formaggia
    • 4
    Email author
  1. 1.Institut Montpelliérain Alexander Grothendieck, CNRSUniversité MontpellierMontpellierFrance
  2. 2.Université Paris EstCERMICS (ENPC)Marne la ValléeFrance
  3. 3.INRIAParisFrance
  4. 4.MOXDipartimento di Matematica, Politecnico di MilanoMilanoItaly

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