Abstract
Numerical simulation of complex phenomena involving large or multiples scales requires the use of methods that are highly precise and fast. Classical numerical methods consist in replacing a given problem, thanks to discretization, with a chain of algebraic equations to be solved.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
W. Eckhaus, (1973) Matched asymptotic expansions and singular perturbations North Holland - Amsterdam.
D. Konaté, (2006) Asymptotic analysis of two coupled diffusion-reaction problems, in Ravi P. Agarwal and Kanishka Perera (eds.) Proceedings of the Conference on Differential & Difference Equations and Applications, Hindawi Publishing Corporation, pp. 575-592.
R. O’Malley Jr., (1991) Singular Perturbation for Ordinary Differential Equations , Applied Mathematical Sciences, 89, Berlin Heidelberg New York, Springer.
M. Pinsky, (1984) Â Introduction to partial differential equations with applications , Newyork, McGraw-Hill.
W. Wasow, (1965) Asymptotic expansions for ordinary differential equations , Newyork, Interscience publication.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Konaté, D. (2008). The High Performance Asymptotic Method in Numerical Simulation. In: Konaté, D. (eds) Mathematical Modeling, Simulation, Visualization and e-Learning. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74339-2_3
Download citation
DOI: https://doi.org/10.1007/978-3-540-74339-2_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74338-5
Online ISBN: 978-3-540-74339-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)