Verified Computations Using Taylor Models and Their Applications Kyoko Makino and Martin Berz Department of Physics and Astronomy Michigan State University

Source URL: www.cs.ox.ac.uk

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FOR RELEASE MAY 14, 2018 BY Amy Mitchell, Katie Simmons, Katerina Eva Matsa, Laura Silver, Elisa Shearer, Courtney Johnson, Mason Walker and Kyle Taylor

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Rigorous Reachability Analysis and Domain Decomposition of Taylor Models Martin Berz and Kyoko Makino Department of Physics and Astronomy Michigan State University

Source URL: www.cs.ox.ac.uk

• Numerical methods for ordinary differential equations
• Domain decomposition methods
• Numerical analysis
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• Mathematical analysis
• PROPT

Introduction Taylor model arithmetic using floating-point arithmetic Getting even more accuracy Conclusion Diddl - Goletz

Source URL: perso.ens-lyon.fr

• Computer arithmetic
• cole normale suprieure de Lyon
• Floating-point arithmetic

A Taylor Function Calculus for Hybrid System Analysis Validation in Coq P. Collins1

Source URL: www.lix.polytechnique.fr

• Dynamical systems
• Systems science
• Systems theory
• Differential equations
• Control theory
• Hybrid system
• Metabolism
• Ariadne
• Verification
• Nonlinear system
• Coq
• Coenzyme Q10

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