Lawrence F. Shampine

According to our database, Lawrence F. Shampine authored at least 47 papers between 1968 and 2013.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2013

Efficient Filon method for oscillatory integrals.

Lawrence F. Shampine

Appl. Math. Comput., 2013

2011

Integrating oscillatory functions in Matlab.

Lawrence F. Shampine

Int. J. Comput. Math., 2011

2010

Weighted quadrature by change of variable.

Lawrence F. Shampine

Neural Parallel Sci. Comput., 2010

2009

Vectorized Solution of ODEs in Matlab.

Lawrence F. Shampine

Scalable Comput. Pract. Exp., 2009

Stability of the leapfrog/midpoint method.

Lawrence F. Shampine

Appl. Math. Comput., 2009

2008

Algorithm 876: Solving Fredholm Integral Equations of the Second Kind in Matlab.

Kendall E. Atkinson, Lawrence F. Shampine

ACM Trans. Math. Softw., 2008

Dissipative approximations to neutral DDEs.

Lawrence F. Shampine

Appl. Math. Comput., 2008

Matlab program for quadrature in 2D.

Lawrence F. Shampine

Appl. Math. Comput., 2008

2007

Accurate numerical derivatives in MATLAB.

Lawrence F. Shampine

ACM Trans. Math. Softw., 2007

Stiff systems.

Lawrence F. Shampine, Skip Thompson

Scholarpedia, 2007

Initial value problems.

Lawrence F. Shampine, Skip Thompson

Scholarpedia, 2007

Moving averages of solutions of ODEs.

Lawrence F. Shampine, Skip Thompson

Appl. Math. Comput., 2007

2005

Using AD to solve BVPs in MATLAB.

Lawrence F. Shampine, Robert Ketzscher, Shaun A. Forth

ACM Trans. Math. Softw., 2005

Error Estimation and Control for ODEs.

Lawrence F. Shampine

J. Sci. Comput., 2005

Two-step Lax-Friedrichs method.

Lawrence F. Shampine

Appl. Math. Lett., 2005

Non-negative solutions of ODEs.

Lawrence F. Shampine, Skip Thompson, Jacek Kierzenka, George D. Byrne

Appl. Math. Comput., 2005

2004

Estimating conditioning of BVPs for ODEs.

Lawrence F. Shampine, Paul H. Muir

Math. Comput. Model., 2004

Software for modeling and analysis of linear systems with delays.

Pascal Gahinet, Lawrence F. Shampine

Proceedings of the 2004 American Control Conference, 2004

2003

Singular boundary value problems for ODEs.

Lawrence F. Shampine

Appl. Math. Comput., 2003

Solving ODEs with MATLAB.

Lawrence F. Shampine, Ian Gladwell, Skip Thompson

Cambridge University Press, ISBN: 978-0-521-53094-1, 2003

2002

Solving 0 = F(t, y(t), y′(t)) in Matlab.

Lawrence F. Shampine

J. Num. Math., 2002

2001

A BVP solver based on residual control and the Maltab PSE.

Jacek Kierzenka, Lawrence F. Shampine

ACM Trans. Math. Softw., 2001

1999

Solving Index-1 DAEs in MATLAB and Simulink.

Lawrence F. Shampine, Mark W. Reichelt, Jacek Kierzenka

SIAM Rev., 1999

1997

The MATLAB ODE Suite.

Lawrence F. Shampine, Mark W. Reichelt

SIAM J. Sci. Comput., 1997

1996

Developing ODE software in new computing environments.

Lawrence F. Shampine, Mark W. Reichelt

Proceedings of the Quality of Numerical Software, 1996

1992

Uniformly accurate Sturm-Liouville eigenvalues.

Lawrence F. Shampine, Gertrud Kraut

Computing, 1992

1991

Reliable solution of special event location problems for ODEs.

Lawrence F. Shampine, Ian Gladwell, R. W. Brankin

ACM Trans. Math. Softw., 1991

Diagnosing Stiffness for Runge-Kutta Methods.

Lawrence F. Shampine

SIAM J. Sci. Comput., 1991

1989

Practical improvements to SIMPR codes for stiff ODEs.

Lawrence F. Shampine

Proceedings of the Conference on Numerical Ordinary Differential Equations, USA, 1989, 1989

1986

Fixed versus variable order Runge-Kutta.

Lawrence F. Shampine, Lorraine S. Baca

ACM Trans. Math. Softw., 1986

1985

Better extrapolation codes.

Lawrence F. Shampine

Computing, 1985

Local error estimation by doubling.

Lawrence F. Shampine

Computing, 1985

1982

Implementation of Rosenbrock Methods.

Lawrence F. Shampine

ACM Trans. Math. Softw., 1982

1981

Evaluation of a Test Set for Stiff ODE Solvers.

Lawrence F. Shampine

ACM Trans. Math. Softw., 1981

1979

Storage Reduction for Runge-Kutta Codes.

Lawrence F. Shampine

ACM Trans. Math. Softw., 1979

1978

Stability Properties of Adams Codes.

Lawrence F. Shampine

ACM Trans. Math. Softw., 1978

Automatic Solution of the Sturm-Liouville Problem.

Paul B. Bailey, M. K. Gordon, Lawrence F. Shampine

ACM Trans. Math. Softw., 1978

Automatic Solution of Sturm-Liouville Eigenvalue Problems.

Paul B. Bailey, Lawrence F. Shampine

Proceedings of the Codes for Boundary-Value Problems in Ordinary Differential Equations, 1978

1977

Stiff and Nonstiff Differential Equation Solvers, II: Detecting Stiffness with Runge-Kutta Methods.

Lawrence F. Shampine

ACM Trans. Math. Softw., 1977

1976

Algorithm 504: GERK: Global Error Estimation For Ordinary Differential Equations [D].

Lawrence F. Shampine, Herman A. Watts

ACM Trans. Math. Softw., 1976

Global Error Estimates for Ordinary Differential Equations.

Lawrence F. Shampine, Herman A. Watts

ACM Trans. Math. Softw., 1976

1975

Discrete Least Squares Polynomial Fits.

Lawrence F. Shampine

Commun. ACM, 1975

An efficient method for the numerical solution of one-phase Stefan problems.

Lawrence F. Shampine, Robert J. Thompson

Proceedings of the SIGNUM Meeting on Software for Partial Differential Equations, 1975

1974

Interpolating numerical solutions of ordinary differential equations.

M. K. Gordon, Lawrence F. Shampine

Proceedings of the 1974 ACM Annual Conference, 1974

1970

Efficiency of a Procedure for Near-Minimax Approximation.

Lawrence F. Shampine

J. ACM, 1970

1969

Invariant imbedding and the calculation of eigenvalues for Sturm-Liouville systems.

M. R. Scott, Lawrence F. Shampine, G. Milton Wing

Computing, 1969

1968

Contraction mappings for nonlinear boundary value problems.

Lawrence F. Shampine

Computing, 1968