Contraction mappings for nonlinear boundary value problems. - Lawrence F. Shampine (Computing, 1968)

Invariant imbedding and the calculation of eigenvalues for Sturm-Liouville systems. - M. R. Scott; Lawrence F. Shampine; G. Milton Wing (Computing, 1969)

Efficiency of a Procedure for Near-Minimax Approximation. - Lawrence F. Shampine (J. ACM, 1970)

Interpolating numerical solutions of ordinary differential equations. - M. K. Gordon; Lawrence F. Shampine (ACM Annual Conference (1), 1974)

An efficient method for the numerical solution of one-phase Stefan problems. - Lawrence F. Shampine; Robert J. Thompson (SIGNUM, 1975)

Discrete Least Squares Polynomial Fits. - Lawrence F. Shampine (Commun. ACM, 1975)

Global Error Estimates for Ordinary Differential Equations. - Lawrence F. Shampine; Herman A. Watts (ACM Trans. Math. Softw., 1976)

Algorithm 504: GERK: Global Error Estimation For Ordinary Differential Equations [D]. - Lawrence F. Shampine; Herman A. Watts (ACM Trans. Math. Softw., 1976)

Stiff and Nonstiff Differential Equation Solvers, II: Detecting Stiffness with Runge-Kutta Methods. - Lawrence F. Shampine (ACM Trans. Math. Softw., 1977)

Automatic Solution of Sturm-Liouville Eigenvalue Problems. - Paul B. Bailey; Lawrence F. Shampine (Codes for Boundary-Value Problems in Ordinary Differential Equations, 1978)

Automatic Solution of the Sturm-Liouville Problem. - Paul B. Bailey; M. K. Gordon; Lawrence F. Shampine (ACM Trans. Math. Softw., 1978)

Stability Properties of Adams Codes. - Lawrence F. Shampine (ACM Trans. Math. Softw., 1978)

Storage Reduction for Runge-Kutta Codes. - Lawrence F. Shampine (ACM Trans. Math. Softw., 1979)

Evaluation of a Test Set for Stiff ODE Solvers. - Lawrence F. Shampine (ACM Trans. Math. Softw., 1981)

Implementation of Rosenbrock Methods. - Lawrence F. Shampine (ACM Trans. Math. Softw., 1982)

Local error estimation by doubling. - Lawrence F. Shampine (Computing, 1985)

Better extrapolation codes. - Lawrence F. Shampine (Computing, 1985)

Fixed versus variable order Runge-Kutta. - Lawrence F. Shampine; Lorraine S. Baca (ACM Trans. Math. Softw., 1986)

Practical improvements to SIMPR codes for stiff ODEs. - Lawrence F. Shampine (Conference on Numerical Ordinary Differential Equations, 1989)

Diagnosing Stiffness for Runge-Kutta Methods. - Lawrence F. Shampine (SIAM J. Sci. Comput., 1991)

Reliable solution of special event location problems for ODEs. - Lawrence F. Shampine; Ian Gladwell; R. W. Brankin (ACM Trans. Math. Softw., 1991)

Uniformly accurate Sturm-Liouville eigenvalues. - Lawrence F. Shampine; Gertrud Kraut (Computing, 1992)

Developing ODE software in new computing environments. - Lawrence F. Shampine; Mark W. Reichelt (Quality of Numerical Software, 1996)

The MATLAB ODE Suite. - Lawrence F. Shampine; Mark W. Reichelt (SIAM J. Sci. Comput., 1997)

Solving Index-1 DAEs in MATLAB and Simulink. - Lawrence F. Shampine; Mark W. Reichelt; Jacek Kierzenka (SIAM Rev., 1999)

A BVP solver based on residual control and the Maltab PSE. - Jacek Kierzenka; Lawrence F. Shampine (ACM Trans. Math. Softw., 2001)

Solving 0 = F(t, y(t), y′(t)) in Matlab. - Lawrence F. Shampine (J. Num. Math., 2002)

Solving ODEs with MATLAB. - Lawrence F. Shampine; Ian Gladwell; Skip Thompson (Cambridge University Press, 2003)

Singular boundary value problems for ODEs. - Lawrence F. Shampine (Appl. Math. Comput., 2003)

Software for modeling and analysis of linear systems with delays. - Pascal Gahinet; Lawrence F. Shampine (ACC, 2004)

Estimating conditioning of BVPs for ODEs. - Lawrence F. Shampine; Paul H. Muir (Math. Comput. Model., 2004)

Non-negative solutions of ODEs. - Lawrence F. Shampine; Skip Thompson; Jacek Kierzenka; George D. Byrne (Appl. Math. Comput., 2005)

Two-step Lax-Friedrichs method. - Lawrence F. Shampine (Appl. Math. Lett., 2005)

Error Estimation and Control for ODEs. - Lawrence F. Shampine (J. Sci. Comput., 2005)

Using AD to solve BVPs in MATLAB. - Lawrence F. Shampine; Robert Ketzscher; Shaun A. Forth (ACM Trans. Math. Softw., 2005)

Moving averages of solutions of ODEs. - Lawrence F. Shampine; Skip Thompson (Appl. Math. Comput., 2007)

Initial value problems. - Lawrence F. Shampine; Skip Thompson (Scholarpedia, 2007)

Stiff systems. - Lawrence F. Shampine; Skip Thompson (Scholarpedia, 2007)

Accurate numerical derivatives in MATLAB. - Lawrence F. Shampine (ACM Trans. Math. Softw., 2007)

Matlab program for quadrature in 2D. - Lawrence F. Shampine (Appl. Math. Comput., 2008)

Dissipative approximations to neutral DDEs. - Lawrence F. Shampine (Appl. Math. Comput., 2008)

Algorithm 876: Solving Fredholm Integral Equations of the Second Kind in Matlab. - Kendall E. Atkinson; Lawrence F. Shampine (ACM Trans. Math. Softw., 2008)

Stability of the leapfrog/midpoint method. - Lawrence F. Shampine (Appl. Math. Comput., 2009)

Vectorized Solution of ODEs in Matlab. - Lawrence F. Shampine (Scalable Comput. Pract. Exp., 2009)

Weighted quadrature by change of variable. - Lawrence F. Shampine (Neural Parallel Sci. Comput., 2010)

Integrating oscillatory functions in Matlab. - Lawrence F. Shampine (Int. J. Comput. Math., 2011)

Efficient Filon method for oscillatory integrals. - Lawrence F. Shampine (Appl. Math. Comput., 2013)