Heterogeneous Multiscale Methods for ODEs
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Publisher
Springer Berlin Heidelberg
Link
http://link.springer.com/content/pdf/10.1007/978-3-540-70529-1_118
Reference17 articles.
1. Ariel, G., Engquist, B., Kreiss, H.O., Tsai, R.: Multiscale computations for highly oscillatory problems. In: Engquist, B., Lötstedt, P., Runborg, O. (eds.) Multiscale Modeling and Simulation in Science. Lecture Notes in Engineering and Computer Science, vol. 66, pp. 237–287. Springer, Berlin (2009)
2. Ariel, G., Engquist, B., Tsai, R.: A multiscale method for highly oscillatory ordinary differential equations with resonance. Math. Comput. 78(266), 929–956 (2009)
3. Ariel, G., Engquist, B., Kim, S.J., Li, Y., Tsai, R.: A multiscale method for highly oscillatory dynamical systems using a poincar map type technique (2012, Under review)
4. Ariel, G., Sanz-Serna, J., Tsai, R.: A multiscale technique for finding slow manifolds of stiff mechanical systems. Multiscale Model Simul. (2012, Under review)
5. Arnol’d, V.: Mathematical Methods of Classical Mechanics. Springer, New York (1989)
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