Ordinary Differential Equations

  • J. Stoer
  • R. Bulirsch


Many problems in applied mathematics lead to ordinary differential equations. In the simplest case one seeks a differentiable function y = y(x) of one real variable x, whose derivative y’(x) is to satisfy an equation of the form y’(x) = f(x, y(x)), or more briefly,
$$y' = f\left( {x,y} \right); $$
one then speaks of an ordinary differential equation.


Ordinary Differential Equation Discretization Error Multistep Method Linear Multistep Method Implicit Euler Method 
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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • J. Stoer
    • 1
  • R. Bulirsch
    • 2
  1. 1.Institut für Angewandte MathematikUniversität Würzburg am HublandWürzburgFederal Republic of Germany
  2. 2.Institut für MathematikTechnische UniversitätMünchenFederal Republic of Germany

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