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Visualization of Complex ODE Solutions

  • Laurent Testard
Chapter

Abstract

This paper presents a visualization method for Complex Ordinary Differential Equations (CODEs) based on real extended phase portraits. This technique enables to visualize functions of classical ODE theory and supports the visual interpretation of numerical integration results. The paper comprises three parts: firstly a presentation of the problem and related existing methods, secondly an introduction to extended phase portraits and their application to complex equations, and thirdly two applications of this visualization technique.

Keywords

Riemann Surface Phase Portrait Integration Path Visualization Technique Global Error 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Laurent Testard
    • 1
  1. 1.Tour des MathsLMC-IMAGGrenobleFrance

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