Linear Multistep Methods—IV: Systems of ODEs

  • David F. Griffiths
  • Desmond J. Higham
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


In this chapter we describe the use of LMMs to solve systems of ODEs and show how the notion of absolute stability can be generalized to such problems. We begin with an example.


Scalar Problem Trapezoidal Rule Negative Real Part Absolute Stability Linear Multistep Method 
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© Springer-Verlag London Limited 2010

Authors and Affiliations

  1. 1.Mathematics DivisionUniversity of DundeeDundeeUK
  2. 2.Department of Mathematics and StatisticsUniversity of StrathclydeGlasgowUK

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