A study of rigorous ODE integrators for multi-scale set-oriented computations

Author:

Miyaji Tomoyuki,Pilarczyk Paweł,Gameiro Marcio,Kokubu Hiroshi,Mischaikow Konstantin

Funder

FAPESP

CNPq

Ministry of Education, Science, Technology, Culture and Sports, Japan

NSF

AFOSR

DARPA

JSPS

JST, CREST

Fundo Europeu de Desenvolvimento Regional

Portuguese national funds through Fundação para a Ciência e a Tecnologia

European Union's Seventh Framework Programme

REA

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference33 articles.

1. A database schema for the analysis of global dynamics of multiparameter systems;Arai;SIAM J. Appl. Dyn. Syst.,2009

2. Verified integration of ODEs and flows using differential algebraic methods on high-order Taylor models;Berz;Reliab. Comput.,1998

3. Combinatorial–topological framework for the analysis of global dynamics;Bush;Chaos,2012

4. Coarse dynamics for coarse modeling: an example from population biology;Bush;Entropy,2014

5. Computer Assisted Proofs in Dynamics, Jagiellonian University, http://capd.ii.uj.edu.pl/ (accessed on March 2, 2016).

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