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Your search keyword '"Mizuguchi, Makoto"' showing total 2 results
Start Over Author "Mizuguchi, Makoto" Topic 35b44
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2. Numerical validation of blow-up solutions of ordinary differential equations.

Author

Takayasu, Akitoshi, Matsue, Kaname, Sasaki, Takiko, Tanaka, Kazuaki, Mizuguchi, Makoto, and Oishi, Shin’ichi

Subjects
*BLOWING up (Algebraic geometry), *ORDINARY differential equations, *LYAPUNOV functions, *COMPACTIFICATION (Mathematics), *INTERVAL analysis
Abstract

This paper focuses on blow-up solutions of ordinary differential equations (ODEs). We present a method for validating blow-up solutions and their blow-up times, which is based on compactifications and the Lyapunov function validation method. The necessary criteria for this construction can be verified using interval arithmetic techniques. Some numerical examples are presented to demonstrate the applicability of our method. [ABSTRACT FROM AUTHOR]

Published
2017
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