Open letter on "Adaptivity and computational complexity in the numerical solution of ODEs" by Silvana Ilie, Gustaf Soederlind and Robert M. Corless
Erich Novak, Henryk Wozniakowski
TL;DR
This open letter discusses the relationship between adaptivity and computational complexity in solving ordinary differential equations, highlighting challenges and considerations in numerical methods.
Contribution
The paper provides an insightful critique and discussion on the interplay of adaptivity and complexity in ODE numerical solutions, emphasizing open questions and future directions.
Findings
Highlights the challenges of adaptivity in ODE solvers
Identifies open problems in computational complexity for adaptive methods
Calls for further research on efficiency and accuracy trade-offs
Abstract
This is an open letter that we sent to S. Ilie, G. Soederlind and R.M. Corless in August 2008.
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Taxonomy
TopicsIterative Methods for Nonlinear Equations · Differential Equations and Numerical Methods · Matrix Theory and Algorithms