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  • Reference work
  • © 2015

Encyclopedia of Applied and Computational Mathematics

Editors:

  • Leads the field of applied mathematics with comprehensive coverage

  • Emphasizes the strong links of applied mathematics with major areas of science

  • Provides a working tool for all types of mathematicians, scientists and engineers

  • Includes supplementary material: sn.pub/extras

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eBook USD 999.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-70529-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
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  • Tax calculation will be finalised during checkout
Softcover Book USD 1,099.99
Price excludes VAT (USA)
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Table of contents (312 entries)

  1. Front Matter

    Pages i-xxxiii
  2. A

    1. Absorbing Boundaries and Layers

      • Laurence Halpern
      Pages 10-17
    2. Actin Cytoskeleton, Multi-scale Modeling

      • Hans G. Othmer
      Pages 17-23
    3. Adaptive Mesh Refinement

      • Robert D. Russell
      Pages 23-25
    4. ADI Methods

      • Qin Sheng
      Pages 25-33
    5. Advancing Front Methods

      • Yasushi Ito
      Pages 36-38
    6. Agent-Based Models in Infectious Disease and Immunology

      • Catherine A. A. Beauchemin
      Pages 38-43
    7. Analysis and Computation of Hyperbolic PDEs with Random Data

      • Mohammad Motamed, Fabio Nobile, Raúl Tempone
      Pages 51-58
    8. Angiogenesis, Computational Modeling Perspective

      • Amina A. Qutub, Aleksander S. Popel
      Pages 58-67
    9. Angiogenesis, Mathematical Modeling Perspective

      • M. Wu, John S. Lowengrub
      Pages 67-72
    10. Applications to Real Size Biological Systems

      • Christophe Chipot
      Pages 72-81
    11. Applied Control Theory for Biological Processes

      • Sarah L. Noble, Ann E. Rundell
      Pages 81-87
    12. Atomistic to Continuum Coupling

      • Mitchell Luskin, Christoph Ortner
      Pages 89-97
  3. B

    1. Backward Differentiation Formulae

      • Jeff R Cash
      Pages 97-101
    2. Bayesian Statistics: Computation

      • Martin A. Tanner
      Pages 101-106

About this book

EACM is a comprehensive reference work covering the vast field of applied and computational mathematics. Applied mathematics itself accounts for at least 60 per cent of mathematics, and the emphasis on computation reflects the current and constantly growing importance of computational methods in all areas of applications. EACM emphasizes the strong links of applied mathematics with major areas of science, such as physics, chemistry, biology, and computer science, as well as specific fields like atmospheric ocean science. In addition, the mathematical input to modern engineering and technology form another core component of EACM.

Keywords

  • applied mathematics
  • computational mathematics
  • computational science and engineering
  • computational biology
  • computational physics
  • computational chemistry
  • Climate, Atmosphere and Ocean Science
  • Computational Mechanics
  • Computational partial differential equations
  • Computer science, discrete mathematics
  • Inverse problems
  • Math. & computational methods in bioscience & medicine
  • Numerical analysis
  • Numerical ordinary differential equations
  • Scientific computing

Reviews

“Encyclopedia of applied and computational mathematics (EACM) is a comprehensive reference work covering the vast field of applied and computational mathematics. … this is a fantastic book and a great boon to researchers in mathematics and those who want to apply the principles to other cross-sectional areas.” (Naga Narayanaswamy, Computing Reviews, November, 2017)

“This is a very comprehensive textbook on applied & computational mathematics. … There is no doubt this book will serve students, research fellows, professors, and advanced mathematicians very well. It is a good reference also for researchers interested in bioinformatics, health informatics, and neuroinformatics. Neural network and coding principles are detailed and helpful for reference and consulting purposes.” (Joseph J. Grenier, Amazon.com, March, 2016)

Editors and Affiliations

  • University of Texas at Austin, Austin, USA

    Björn Engquist

About the editor

Björn Engquist received his Ph.D. in numerical analysis from Uppsala University in the year 1975. He has been professor of mathematics at UCLA, Uppsala University and the Royal Institute of Technology, Stockholm. He was Michael Henry Strater University Professor of Mathematics and Applied and Computational Mathematics at Princeton University and now holds the Computational and Applied Mathematics Chair I at the University of Texas at Austin.

He was director of the Research Institute for Industrial Applications of Scientific Computing and of the Centre for Parallel Computers at the Royal Institute of Technology, Stockholm. At Princeton University, he was director of the Program in Applied and Computational Mathematics and the Princeton Institute for Computational Science and he is now the director of the ICES Center for Numerical Analysis in Austin.

Engquist is a member of the American Association for the Advancement of Science, the Royal Swedish Academy of Sciences, the Royal Swedish Academy of Engineering Sciences, the Norwegian Academy of Science and Letters. He was a Guggenheim Fellow, received the first SIAM Prize in Scientific Computing 1982, the Celsius Medal 1992, the Henrici Prize 2011, the George David Birkhoff Prize in Applied Mathematics 2012 and ICIAM Pioneer Prize 2015. He was an ICM speaker in the years 1982 and 1998.

His research field is development, analysis and application of numerical methods for differential equations. A particular focus has been multiscale problems and applications to fluid mechanics and wave propagation. He has had 40 PhD students.

Bibliographic Information

Buying options

eBook USD 999.00
Price excludes VAT (USA)
  • ISBN: 978-3-540-70529-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 1,099.99
Price excludes VAT (USA)
Hardcover Book USD 1,099.99
Price excludes VAT (USA)