Ordinary differential equations

  • Alfio Quarteroni
  • Fausto Saleri
  • Paola Gervasio
Part of the Texts in Computational Science and Engineering book series (TCSE, volume 2)


A differential equation is an equation involving one or more derivatives of an unknown function. If all derivatives are taken with respect to a single independent variable we call it an ordinary differential equation, whereas we have a partial differential equation when partial derivatives are present.


Cauchy Problem Euler Method Absolute Stability Implicit Method Explicit Method 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Alfio Quarteroni
    • 1
  • Fausto Saleri
    • 2
  • Paola Gervasio
    • 3
  1. 1.MATHICSE-CMCSEcole Polytechnique Fédérale de LausanneLausanneSwitzerland
  2. 2.MOX - Politecnico di MilanoMilanoItaly
  3. 3.DICATAMUniversità degli Studi di BresciaBresciaItaly

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