Numerical algebraic geometry and differential equations

Wenrui Hao; Bei Hu; Andrew J. Sommese

doi:10.1007/978-1-4471-6461-6_3

Numerical algebraic geometry and differential equations

Wenrui Hao, Bei Hu, Andrew J. Sommese

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper we review applications of numerical algebraic geometry to differential equations. The techniques we address are direct solution, bootstrapping by filtering, and continuation and bifurcation. We review differential equations systems with multiple solutions and bifurcations.

Original language	English (US)
Pages (from-to)	39-53
Number of pages	15
Journal	Springer Proceedings in Mathematics and Statistics
Volume	84
DOIs	https://doi.org/10.1007/978-1-4471-6461-6_3
State	Published - 2014

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/978-1-4471-6461-6_3

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title = "Numerical algebraic geometry and differential equations",

abstract = "In this paper we review applications of numerical algebraic geometry to differential equations. The techniques we address are direct solution, bootstrapping by filtering, and continuation and bifurcation. We review differential equations systems with multiple solutions and bifurcations.",

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AU - Hao, Wenrui

AU - Hu, Bei

AU - Sommese, Andrew J.

PY - 2014

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JO - Springer Proceedings in Mathematics and Statistics

JF - Springer Proceedings in Mathematics and Statistics

ER -

Numerical algebraic geometry and differential equations

Abstract

All Science Journal Classification (ASJC) codes

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