Event location for ordinary differential equations

By Lawrence F. Shampine, S. Thompson. 2000

89 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/4ea02c8346c6aa4dc30197e77339933658360667

How researchers see this paper

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

In Computational Mechanics

1. Stefano Maset
2. Nicola Guglielmi
3. Alfredo Bellen
4. Marino Zennaro
5. Mark H. Carpenter
6. Christopher A. Kennedy
7. Lawrence F. Shampine
8. Michael L. Minion

In Control and Systems Engineering

1. Stefano Maset
2. Alfredo Bellen
3. Marino Zennaro
4. Nicola Guglielmi
5. Lawrence F. Shampine
6. K. Nandakumar
7. Marian Wiercigroch

In Numerical Analysis

1. Nicola Guglielmi
2. Stefano Maset
3. Marino Zennaro
4. Alfredo Bellen
5. Mark H. Carpenter
6. Lawrence F. Shampine
7. Christopher A. Kennedy
8. Michael L. Minion

Citations in the corpus

• Solving DDEs in MATLAB (2001, background): “[ 19 ], and a number of quality ODE solvers provide for the location of events.”
• Recent trends in the numerical solution of retarded functional differential equations* (2009, methodology): “c2 = 1, c3 = 1 2 , c4 = 1, c5 = 1 2 , c6 = 1, b2(θ) = 0, b3(θ) = 0, b4(θ) = 0, a43(β) = 0, a65(β) = 0, we obtain the particular method of global order four which was proposed in Tavernini (1971). We remark that there does not exist an explicit six-stage RK method (7.”
• Diagonally Implicit Runge-Kutta Methods for Ordinary Differential Equations. A Review (2016, background): “Shampine and Thompson [380] consider well-posedness in this situation.”