Lawrence F. Shampine

TOMS · 1986–2008

A researcher in the Science corpus: 9 papers; trusts 2 researchers and is trusted by 52 researchers here, as inferred from the citation graph.

Whom Lawrence F. Shampine trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. John Charles Butcher
2. Lloyd N. Trefethen
3. Desmond John Higham

Who trusts Lawrence F. Shampine overall

1. Will Grathwohl
2. K. Nandakumar
3. Ricky T. Q. Chen
4. M. Cappellari
5. Shijun Liao
6. David Kristjanson Duvenaud
7. Marian Wiercigroch
8. Hilbert J. Kappen
9. Jacob Kelly
10. Kendall E. Atkinson

Papers from Lawrence F. Shampine's perspective

Ordered by how strongly the researchers Lawrence F. Shampine trusts endorse each paper. Same corpus, a different order for every researcher.

1. Numerical solution of boundary value problems in ordinary differential equations
2. Event location for ordinary differential equations
3. Matlab guide
4. A family of embedded Runge-Kutta formulae
5. Adaptive Quadrature—Revisited
6. Introduction to Numerical Analysis
7. Exponential Time Differencing for Stiff Systems
8. Fourth-Order Time-Stepping for Stiff PDEs
9. Lambda-matrices and vibrating systems
10. A collection of benchmark examples for model reduction of linear time invariant dynamical systems.

Their papers

• Vectorized adaptive quadrature in MATLAB (2008) — 496 citations
• Solving DDEs in MATLAB (2001) — 563 citations
• Delay-differential-algebraic equations in control theory (2006) — 52 citations
• Solving ODEs and DDEs with residual control (2005) — 115 citations
• Solving ODEs with MATLAB (2003) — 810 citations
• A BVP solver based on residual control and the Maltab PSE (2001) — 755 citations
• Event location for ordinary differential equations (2000) — 89 citations
• Numerical Solution of Ordinary Differential Equations. (1995)
• Some practical Runge-Kutta formulas (1986)