Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications

In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and Applied Mathematics

  • Oleg P. Iliev
  • Svetozar D. Margenov
  • Peter D Minev
  • Panayot S. Vassilevski
  • Ludmil T Zikatanov
Conference proceedings

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 45)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Marco Buck, Oleg Iliev, Heiko Andrä
    Pages 21-44
  3. James Brannick, Yao Chen, Xiaozhe Hu, Ludmil Zikatanov
    Pages 81-102
  4. C. Carstensen, C. Merdon, J. Neumann
    Pages 103-119
  5. P. Chatzipantelidis, V. Ginting
    Pages 121-136
  6. Stefka Dimova, Milena Dimova, Daniela Vasileva
    Pages 157-184
  7. Jean-Luc Guermond, Peter D. Minev
    Pages 185-201
  8. J. Kraus, M. Lymbery, S. Margenov
    Pages 217-245
  9. Lin Mu, Junping Wang, Yanqiu Wang, Xiu Ye
    Pages 247-277
  10. Back Matter
    Pages 327-327

About these proceedings


One of the current main challenges in the area of scientific computing is the design and implementation of accurate numerical models for complex physical systems which are described by time-dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles, and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability, and robustness of the algorithms in porous media, structural mechanics, and electromagnetism are presented.

Researchers and graduate students in  numerical analysis and numerical solutions of PDEs and their scientific computing applications will find this book useful. 


Difference methods Elasticity Finite Element Methods Multigrid and Domain Decomposition Porous Media Flow

Editors and affiliations

  • Oleg P. Iliev
    • 1
  • Svetozar D. Margenov
    • 2
  • Peter D Minev
    • 3
  • Panayot S. Vassilevski
    • 4
  • Ludmil T Zikatanov
    • 5
  1. 1., Dept. of Flow and Material SimulationFraunhofer Institute for Industrial MathKaiserslauternGermany
  2. 2.Institute for Parallel ProcessingBulgarian Academy of SciencesSofiaBulgaria
  3. 3., Dept. of Mathematical and Statistical ScUniversity of AlbertaEdmontonCanada
  4. 4.Center for Applied Scientific ComputingLawrence Livermore National LaboratoryLivermoreUSA
  5. 5., Department of MathematicsPennsylvania State UniversityUniversity ParkUSA

Bibliographic information

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