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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
European Commission, Research & Innovation-Key Enabling Technologies, Modelling Material, http://ec.europa.eu/research/industrial_technologies/modelling-materials_en.html.
Literatur
Amann, H.: Gewöhnliche Differentialgleichungen, 2. Aufl. De Gruyter Lehrbücher, Berlin/New York (1995)
Braess, D.: Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics, 3. Aufl. Cambridge University Press, Cambridge (2007)
Brennen, C.E.: Fundamentals of Multiphase Flow. Cambridge University Press, Cambridge (2009)
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)
Daubechies, I.: Ten Lectures on Wavelets. SIAM, Philadelphia (1992)
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
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)
Geiser, J.: Iterative Splitting Methods for Differential Equations. Numerical Analysis and Scientific Computing Series. Taylor & Francis Group, Boca Raton/London/New York (2011)
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)
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)
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)
Geiser, J.: Multicomponent and Multiscale Systems: Theory, Methods, and Applications in Engineering. Springer, Cham/Heidelberg/New York/Dordrecht/London (2016)
Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II, no. 14. SCM, Springer, Berlin/Heidelberg/New York (1996)
Jost, J.: Partielle Differentialgleichungen: Elliptische (und parabolische) Gleichungen. Springer-Lehrbuch Masterclass, Springer, Berlin/Heidelberg (1998)
Kelley, C.T.: Iterative Methods for Linear and Nonlinear Equations. SIAM Frontiers in Applied Mathematics, no. 16. SIAM, Philadelphia (1995)
Kelley, C.T.: Solving Nonlinear Equations with Newton’s Method. Fundamentals of Algorithms. SIAM, Philadelphia (2003)
Kevrekidis, I.G., Samaey, G.: Equation-free multiscale computation: algorithms and applications. Ann. Rev. Phys. Chem. 60, 321–344 (2009)
LeVeque, R.J.: Finite Volume Methods for Hyperbolic Problems. Cambridge Texts in Applied Mathematics. Cambridge University Press, Cambridge (2002)
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)
Pavliotis, G.A., Stuart, A.M.: Multiscale Methods: Averaging and Homogenization. Springer, Heidelberg (2008)
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)
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)
Strang, G.: Computational Science and Engineering. Wellesley-Cambridge Press, Wellesley (2007)
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)
Weinan, E.: Principle of Multiscale Modelling. Cambridge University Press, Cambridge (2010)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Fachmedien Wiesbaden GmbH, ein Teil von Springer Nature
About this chapter
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
DOI: https://doi.org/10.1007/978-3-658-18708-8_1
Published:
Publisher Name: Springer Vieweg, Wiesbaden
Print ISBN: 978-3-658-18707-1
Online ISBN: 978-3-658-18708-8
eBook Packages: Computer Science and Engineering (German Language)