Solving Ordinary Differential Equations I

1993/01/01 by Ernst Hairer, Gerhard Wanner, Syvert P. Nørsett · 1 voice · 2 citations
Mathematics · #Numerical methods for differential equations

paper · doi:10.1007/978-3-540-78862-1

crossref issued 1993/01/01 · crossref published 1993/01/01 · crossref published-print 1993/01/01 · openalex publication_date 1993/01/01 · crossref created 2008/04/01 · crossref deposited 2019/04/04 · openalex created_date 2022/05/12 · crossref indexed 2026/07/28 · openalex updated_date 2026/07/29

Cited by

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Discussions

• The standard approach in most ODE solver packages is the following. First compute the error using a norm weighted by tolerances: $$ err = \sqrt{\frac{1}{d} \sum_{i=1}^{d} \left( \frac{y_i^{[p+m]} - y_ [stackexchange, 5 points]