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

Mathematics

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

General Mathematics

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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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journal = "Springer Proceedings in Mathematics and Statistics",

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T1 - Numerical algebraic geometry and differential equations

AU - Hao, Wenrui

AU - Hu, Bei

AU - Sommese, Andrew J.

PY - 2014

Y1 - 2014

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AB - 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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UR - https://www.scopus.com/pages/publications/84903304028#tab=citedBy

U2 - 10.1007/978-1-4471-6461-6_3

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

M3 - Article

AN - SCOPUS:84903304028

SN - 2194-1009

VL - 84

SP - 39

EP - 53

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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