Scientific Computing with Ordinary Differential Equations

By Peter Deuflhard, F. Bornemann. 2002

329 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Earth-Surface Processes, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/8aeb335484c74aa502d0117a139753b56f930fa8

How researchers see this paper

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In Artificial Intelligence

1. Peter E. Kloeden
2. Arnulf Jentzen

In Management Science and Operations Research

1. Arnulf Jentzen
2. Sotirios Sabanis
3. Xuerong Mao

Citations in the corpus

• Parameter estimation for differential equations: a generalized smoothing approach (2007, neutral): “On this interval x is uniquely determined by x.t0/; see Deuflhard and Bornemann (2000).”
• TAYLOR EXPANSIONS OF SOLUTIONS OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH ADDITIVE NOISE (2010, background): “An important component of such Taylor schemes are the iterated total derivatives of the vector field corresponding higher derivatives of the solution, which are obtained via the chain rule; see [8].”