Lawrence F. Shampine

Lawrence F. Shampine: Integrating oscillatory functions in Matlab. Int. J. Comput. Math. 88(11): 2348-2358 (2011)

Lawrence F. Shampine: Weighted quadrature by change of variable. Neural Parallel & Scientific Comp. 18(2): 195-206 (2010)

Lawrence F. Shampine: Stability of the leapfrog/midpoint method. Applied Mathematics and Computation 208(1): 293-298 (2009)

Lawrence F. Shampine: Vectorized Solution of ODEs in Matlab. Scalable Computing: Practice and Experience 10(4) (2009)

Lawrence F. Shampine: Matlab program for quadrature in 2D. Applied Mathematics and Computation 202(1): 266-274 (2008)

Lawrence F. Shampine: Dissipative approximations to neutral DDEs. Applied Mathematics and Computation 203(2): 641-648 (2008)

Kendall E. Atkinson, Lawrence F. Shampine: Algorithm 876: Solving Fredholm Integral Equations of the Second Kind in Matlab. ACM Trans. Math. Softw. 34(4) (2008)

Lawrence F. Shampine, Skip Thompson: Moving averages of solutions of ODEs. Applied Mathematics and Computation 193(1): 175-182 (2007)

Lawrence F. Shampine, Skip Thompson: Stiff systems. Scholarpedia 2(3): 2855 (2007)

Lawrence F. Shampine, Skip Thompson: Initial value problems. Scholarpedia 2(3): 2861 (2007)

Lawrence F. Shampine: Accurate numerical derivatives in MATLAB. ACM Trans. Math. Softw. 33(4) (2007)

Lawrence F. Shampine, Skip Thompson, Jacek Kierzenka, G. D. Byrne: Non-negative solutions of ODEs. Applied Mathematics and Computation 170(1): 556-569 (2005)

Lawrence F. Shampine: Two-step Lax-Friedrichs method. Appl. Math. Lett. 18(10): 1134-1136 (2005)

Lawrence F. Shampine: Error Estimation and Control for ODEs. J. Sci. Comput. 25(1): 3-16 (2005)

Lawrence F. Shampine, Robert Ketzscher, Shaun A. Forth: Using AD to solve BVPs in MATLAB. ACM Trans. Math. Softw. 31(1): 79-94 (2005)

Lawrence F. Shampine, Paul H. Muir: Estimating conditioning of BVPs for ODEs. Mathematical and Computer Modelling 40(11-12): 1309-1321 (2004)

Lawrence F. Shampine, Ian Gladwell, Skip Thompson: Solving ODEs with MATLAB. Cambridge University Press 2003, isbn 978-0-521-53094-1, pp. I-VIII, 1-263

Jacek Kierzenka, Lawrence F. Shampine: A BVP solver based on residual control and the Maltab PSE. ACM Trans. Math. Softw. 27(3): 299-316 (2001)

Lawrence F. Shampine, M. W. Reichelt: Developing ODE software in new computing environments. Quality of Numerical Software 1996: 224-235

Lawrence F. Shampine, Ian Gladwell, R. W. Brankin: Reliable solution of special event location problems for ODEs. ACM Trans. Math. Softw. 17(1): 11-25 (1991)

Lawrence F. Shampine, Lorraine S. Baca: Fixed versus variable order Runge-Kutta. ACM Trans. Math. Softw. 12(1): 1-23 (1986)

Lawrence F. Shampine: Implementation of Rosenbrock Methods. ACM Trans. Math. Softw. 8(2): 93-113 (1982)

Lawrence F. Shampine: Evaluation of a Test Set for Stiff ODE Solvers. ACM Trans. Math. Softw. 7(4): 409-420 (1981)

Lawrence F. Shampine: Storage Reduction for Runge-Kutta Codes. ACM Trans. Math. Softw. 5(3): 245-250 (1979)

Paul B. Bailey, M. K. Gordon, Lawrence F. Shampine: Automatic Solution of the Sturm-Liouville Problem. ACM Trans. Math. Softw. 4(3): 193-208 (1978)

Lawrence F. Shampine: Stability Properties of Adams Codes. ACM Trans. Math. Softw. 4(4): 323-329 (1978)

Paul B. Bailey, Lawrence F. Shampine: Automatic Solution of Sturm-Liouville Eigenvalue Problems. Codes for Boundary-Value Problems in Ordinary Differential Equations 1978: 274-279

Lawrence F. Shampine: Stiff and Nonstiff Differential Equation Solvers, II: Detecting Stiffness with Runge-Kutta Methods. ACM Trans. Math. Softw. 3(1): 44-53 (1977)

Lawrence F. Shampine, H. A. Watts: Global Error Estimates for Ordinary Differential Equations. ACM Trans. Math. Softw. 2(2): 172-186 (1976)

Lawrence F. Shampine, H. A. Watts: Algorithm 504: GERK: Global Error Estimation For Ordinary Differential Equations [D]. ACM Trans. Math. Softw. 2(2): 200-203 (1976)

Lawrence F. Shampine: Discrete Least Squares Polynomial Fits. Commun. ACM 18(3): 179-180 (1975)

Lawrence F. Shampine: Efficiency of a Procedure for Near-Minimax Approximation. J. ACM 17(4): 655-660 (1970)

M. R. Scott, Lawrence F. Shampine, G. M. Wing: Invariant imbedding and the calculation of eigenvalues for Sturm-Liouville systems. Computing 4(1): 10-23 (1969)

Lawrence F. Shampine: Contraction mappings for nonlinear boundary value problems. Computing 3(3): 205-214 (1968)