Fuchs: Modeling of Uniform Dynamical Systems  —  Front Matter
Table of Contents

    


4 Analysis of System Behavior 131

  Solving Initial Value Problems 131
  Examples of One-Dimensional Models 137
  The Qualitative Theory of Differential Equations 144
  Parameter Dependencies and Bifurcations 149
  Two Dimensional Dynamical Systems 153

5 Numerical Methods for Differential Equations 165

  Practical Problems With Numerical Solutions 166
  Stability and Accuracy of Numerical Solutions 170
  Stiff Differential Equations 178
  Some Examples of Numerical Methods 181
  Error Estimation and Automatic Step Control 189
  Finite Element Methods for One Dimensional Boundary Value Problems 191

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