Numerical Integration of Ordinary Differential Equations

By William Bober, C. Tsai, O. Masory. 2009

167 citations recorded by the source corpus.

Subfields: Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/572ecc3bd58ee0adc05091324468723aee26d6e4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Numerical Analysis

1. Dong Wang
2. Steven J. Ruuth
3. Uri M. Ascher
4. Lajos Lóczi

Citations in the corpus

• VARIABLE STEP-SIZE IMPLICIT-EXPLICIT LINEAR MULTISTEP METHODS FOR TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS * (2008, background): “This might be because an iterative solution to the implicit equations is desired and the Jacobian of f(u) is nonsymmetric and nondefinite, or the Jacobian of f(u) could be dense.”
• Probabilistic numerics and uncertainty in computations (2015, unknown): “A considerably vaguer but much earlier observation was made, on the side of numerical mathematics, by Nordsieck [33], who noted that a class of methods he proposed, and which were subsequently captured in a wider nomenclature of ODE solvers, bore a resemblance to linear electrical filters.”