Heat Transfer

  • Hans-Joachim Bungartz
  • Stefan Zimmer
  • Martin Buchholz
  • Dirk Pflüger
Chapter
Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)

Abstract

The molecular dynamics simulations discussed in  Chap. 13 required the use of ordinary differential equations (ODE) when describing particle trajectories. For these, only one independent variable, in this case the time, was needed. But there also exist a very large range of physical problem settings in which the modeling process is assisted by partial differential equations (PDE) in a way that is somewhere in the area between obvious, suitable or necessary. An example is structural mechanics, which among other things considers the deformation of structures under the influence of forces. Such analyses are relevant in entirely different scenarios—from the construction of bridges to the construction of micro-electromechanical sensors and actuators (MEMS).

References

  1. 57.
    Aslak Tveito and Ragnar Winther. Introduction to Partial Differential Equations - A Computational Approach. Springer, 2005.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Hans-Joachim Bungartz
    • 1
  • Stefan Zimmer
    • 2
  • Martin Buchholz
    • 3
  • Dirk Pflüger
    • 2
  1. 1.Department of InformaticsTechnische Universität MünchenMunichGermany
  2. 2.IPVSUniversity of StuttgartStuttgartGermany
  3. 3.Realtime Technology AGMunichGermany

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