Skip to main content

Einleitung und Überblick zum vorliegenden Buch

  • Chapter
  • First Online:
Book cover Computational Engineering
  • 2761 Accesses

Zusammenfassung

In der Einleitung und in dem Überblick zum vorliegenden Buch wird dem Leser ein Leitfaden an die Hand gegeben, wie das Buch strukturiert ist und wie man auch einzelne Kapitel lesen kann. Es gibt einen Überblick zu den einzelnen Themen, die für den Leser interessant sein können und die jeweils für sich durchgearbeitet werden können. Das Buch gibt eine Einführung in das Fach Computational Engineering , und vertieft in weiterführende Spezialthemen, wie z. B. Modellierung von Flüssigkeitstransport oder Diskretisierungs- und Lösungsverfahren für partielle Differentialgleichungen. Für die angrenzenden Fachdisziplinen, wie z. B. die Informatik, numerische Analysis usw., wird die Spezialliteratur angegeben.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    European Commission, Research & Innovation-Key Enabling Technologies, Modelling Material, http://ec.europa.eu/research/industrial_technologies/modelling-materials_en.html.

Literatur

  1. Amann, H.: Gewöhnliche Differentialgleichungen, 2. Aufl. De Gruyter Lehrbücher, Berlin/New York (1995)

    Google Scholar 

  2. Braess, D.: Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics, 3. Aufl. Cambridge University Press, Cambridge (2007)

    Google Scholar 

  3. Brennen, C.E.: Fundamentals of Multiphase Flow. Cambridge University Press, Cambridge (2009)

    Google Scholar 

  4. Chiavazzo, E., Karlin, I.V., Gorban, A.N., Boulouchos, K.: Coupling of the model reduction technique with the lattice Boltzmann method for combustion simulations. Combust. Flame 157(10), 1833–1849 (2010)

    Google Scholar 

  5. Daubechies, I.: Ten Lectures on Wavelets. SIAM, Philadelphia (1992)

    Google Scholar 

  6. Geiser, J.: Iterative operator-splitting methods with higher order time-integration methods and applications for parabolic partial differential equations. J. Comput. Appl. Math. 217, 227–242 (2008). Elsevier, Amsterdam

    Google Scholar 

  7. Geiser, J.: Decomposition Methods for Partial Differential Equations: Theory and Applications in Multiphysics Problems. Numerical Analysis and Scientific Computing Series. Taylor & Francis Group, Boca Raton/London/New York (2009)

    Google Scholar 

  8. Geiser, J.: Iterative Splitting Methods for Differential Equations. Numerical Analysis and Scientific Computing Series. Taylor & Francis Group, Boca Raton/London/New York (2011)

    Google Scholar 

  9. Geiser, J.: Model order reduction for numerical simulation of particle transport based on numerical integration approaches. Math. Comput. Modell. Dyn. Syst. 20(4), 317–344 (2014)

    Google Scholar 

  10. Geiser, J.: Coupled Systems: Theory, Models, and Applications in Engineering. Numerical Analysis and Scientific Computing Series. Taylor & Francis Group, Boca Raton/London/New York (2014)

    Google Scholar 

  11. Geiser, J.: Recent Advances in Splitting Methods for Multiphysics and Multiscale: Theory and Applications. J. Algoritm. Comput. Technol. Multi-Science Brentwood 9(1), 65–94 (2015)

    Google Scholar 

  12. Geiser, J.: Multicomponent and Multiscale Systems: Theory, Methods, and Applications in Engineering. Springer, Cham/Heidelberg/New York/Dordrecht/London (2016)

    Google Scholar 

  13. Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II, no. 14. SCM, Springer, Berlin/Heidelberg/New York (1996)

    Google Scholar 

  14. Jost, J.: Partielle Differentialgleichungen: Elliptische (und parabolische) Gleichungen. Springer-Lehrbuch Masterclass, Springer, Berlin/Heidelberg (1998)

    Google Scholar 

  15. Kelley, C.T.: Iterative Methods for Linear and Nonlinear Equations. SIAM Frontiers in Applied Mathematics, no. 16. SIAM, Philadelphia (1995)

    Google Scholar 

  16. Kelley, C.T.: Solving Nonlinear Equations with Newton’s Method. Fundamentals of Algorithms. SIAM, Philadelphia (2003)

    Google Scholar 

  17. Kevrekidis, I.G., Samaey, G.: Equation-free multiscale computation: algorithms and applications. Ann. Rev. Phys. Chem. 60, 321–344 (2009)

    Google Scholar 

  18. LeVeque, R.J.: Finite Volume Methods for Hyperbolic Problems. Cambridge Texts in Applied Mathematics. Cambridge University Press, Cambridge (2002)

    Google Scholar 

  19. LeVeque, R.J.: Finite Difference Methods for Ordinary and Partial Differential Equations, Steady State and Time Dependent Problems. Society for Industrial and Applied Mathematics (SIAM), Philadelphia (2007)

    Google Scholar 

  20. Pavliotis, G.A., Stuart, A.M.: Multiscale Methods: Averaging and Homogenization. Springer, Heidelberg (2008)

    Google Scholar 

  21. Rosso, L., de Baas, A.F.: Review of Materials Modelling: What makes a material function? Let me compute the ways. European Commision, General for Research and Innovation Directorate, Industrial Technologies, Unit G3 Materials. http://ec.europa.eu/research/industrial_technologies/modelling-materials_en.html (2014)

  22. Staff, E.B., Staff, E.B., Snider, A.D.: Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics. Prentice Hall, Upper Saddle River (2003)

    Google Scholar 

  23. Strang, G.: Computational Science and Engineering. Wellesley-Cambridge Press, Wellesley (2007)

    MATH  Google Scholar 

  24. Sun, S., Geiser, J.: Multiscale discontinuous Galerkin and operator-splitting methods for modeling subsurface flow and transport. Int. J. Multiscale Comput. Eng. 6(1), 87–101 (2008)

    Article  Google Scholar 

  25. Weinan, E.: Principle of Multiscale Modelling. Cambridge University Press, Cambridge (2010)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Fachmedien Wiesbaden GmbH, ein Teil von Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Geiser, J. (2018). Einleitung und Überblick zum vorliegenden Buch. In: Computational Engineering. Springer Vieweg, Wiesbaden. https://doi.org/10.1007/978-3-658-18708-8_1

Download citation

Publish with us

Policies and ethics