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ORCIDLawrence F. Shampine
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- affiliation: Southern Methodist University, Dallas, Texas, USA
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Books and Theses
- 2003
[b1]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
Journal Articles
- 2013
- [j40]Lawrence F. Shampine:
Efficient Filon method for oscillatory integrals. Appl. Math. Comput. 221: 691-702 (2013) - 2011
- [j39]Lawrence F. Shampine:
Integrating oscillatory functions in Matlab. Int. J. Comput. Math. 88(11): 2348-2358 (2011) - 2010
- [j38]Lawrence F. Shampine:
Weighted quadrature by change of variable. Neural Parallel Sci. Comput. 18(2): 195-206 (2010) - 2009
- [j37]Lawrence F. Shampine:
Stability of the leapfrog/midpoint method. Appl. Math. Comput. 208(1): 293-298 (2009) - [j36]Lawrence F. Shampine:
Vectorized Solution of ODEs in Matlab. Scalable Comput. Pract. Exp. 10(4) (2009) - 2008
- [j35]Lawrence F. Shampine:
Matlab program for quadrature in 2D. Appl. Math. Comput. 202(1): 266-274 (2008) - [j34]Lawrence F. Shampine:
Dissipative approximations to neutral DDEs. Appl. Math. Comput. 203(2): 641-648 (2008) - [j33]Kendall E. Atkinson, Lawrence F. Shampine:
Algorithm 876: Solving Fredholm Integral Equations of the Second Kind in Matlab. ACM Trans. Math. Softw. 34(4): 21:1-21:20 (2008) - 2007
- [j32]Lawrence F. Shampine, Skip Thompson:
Moving averages of solutions of ODEs. Appl. Math. Comput. 193(1): 175-182 (2007) - [j31]Lawrence F. Shampine, Skip Thompson:
Stiff systems. Scholarpedia 2(3): 2855 (2007) - [j30]Lawrence F. Shampine, Skip Thompson:
Initial value problems. Scholarpedia 2(3): 2861 (2007) - [j29]Lawrence F. Shampine:
Accurate numerical derivatives in MATLAB. ACM Trans. Math. Softw. 33(4): 26 (2007) - 2005
- [j28]Lawrence F. Shampine, Skip Thompson, Jacek Kierzenka, George D. Byrne:
Non-negative solutions of ODEs. Appl. Math. Comput. 170(1): 556-569 (2005) - [j27]Lawrence F. Shampine:
Two-step Lax-Friedrichs method. Appl. Math. Lett. 18(10): 1134-1136 (2005) - [j26]Lawrence F. Shampine:
Error Estimation and Control for ODEs. J. Sci. Comput. 25(1-2): 3-16 (2005) - [j25]Lawrence F. Shampine, Robert Ketzscher, Shaun A. Forth
:
Using AD to solve BVPs in MATLAB. ACM Trans. Math. Softw. 31(1): 79-94 (2005) - 2004
- [j24]Lawrence F. Shampine, Paul H. Muir:
Estimating conditioning of BVPs for ODEs. Math. Comput. Model. 40(11-12): 1309-1321 (2004) - 2003
- [j23]Lawrence F. Shampine:
Singular boundary value problems for ODEs. Appl. Math. Comput. 138(1): 99-112 (2003) - 2002
- [j22]Lawrence F. Shampine:
Solving 0 = F(t, y(t), y′(t)) in Matlab. J. Num. Math. 10(4): 291-310 (2002) - 2001
- [j21]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) - 1999
- [j20]Lawrence F. Shampine, Mark W. Reichelt, Jacek Kierzenka:
Solving Index-1 DAEs in MATLAB and Simulink. SIAM Rev. 41(3): 538-552 (1999) - 1997
- [j19]Lawrence F. Shampine, Mark W. Reichelt:
The MATLAB ODE Suite. SIAM J. Sci. Comput. 18(1): 1-22 (1997) - 1992
- [j18]Lawrence F. Shampine, Gertrud Kraut:
Uniformly accurate Sturm-Liouville eigenvalues. Computing 47(3-4): 379-385 (1992) - 1991
- [j17]Lawrence F. Shampine:
Diagnosing Stiffness for Runge-Kutta Methods. SIAM J. Sci. Comput. 12(2): 260-272 (1991) - [j16]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) - 1986
- [j15]Lawrence F. Shampine, Lorraine S. Baca:
Fixed versus variable order Runge-Kutta. ACM Trans. Math. Softw. 12(1): 1-23 (1986) - 1985
- [j14]Lawrence F. Shampine:
Local error estimation by doubling. Computing 34(2): 179-190 (1985) - [j13]Lawrence F. Shampine:
Better extrapolation codes. Computing 35(3-4): 369-374 (1985) - 1982
- [j12]Lawrence F. Shampine:
Implementation of Rosenbrock Methods. ACM Trans. Math. Softw. 8(2): 93-113 (1982) - 1981
- [j11]Lawrence F. Shampine:
Evaluation of a Test Set for Stiff ODE Solvers. ACM Trans. Math. Softw. 7(4): 409-420 (1981) - 1979
- [j10]Lawrence F. Shampine:
Storage Reduction for Runge-Kutta Codes. ACM Trans. Math. Softw. 5(3): 245-250 (1979) - 1978
- [j9]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) - [j8]Lawrence F. Shampine:
Stability Properties of Adams Codes. ACM Trans. Math. Softw. 4(4): 323-329 (1978) - 1977
- [j7]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) - 1976
- [j6]Lawrence F. Shampine, Herman A. Watts:
Global Error Estimates for Ordinary Differential Equations. ACM Trans. Math. Softw. 2(2): 172-186 (1976) - [j5]Lawrence F. Shampine, Herman A. Watts:
Algorithm 504: GERK: Global Error Estimation For Ordinary Differential Equations [D]. ACM Trans. Math. Softw. 2(2): 200-203 (1976) - 1975
- [j4]Lawrence F. Shampine:
Discrete Least Squares Polynomial Fits. Commun. ACM 18(3): 179-180 (1975) - 1970
- [j3]Lawrence F. Shampine:
Efficiency of a Procedure for Near-Minimax Approximation. J. ACM 17(4): 655-660 (1970) - 1969
- [j2]M. R. Scott, Lawrence F. Shampine, G. Milton Wing:
Invariant imbedding and the calculation of eigenvalues for Sturm-Liouville systems. Computing 4(1): 10-23 (1969) - 1968
- [j1]Lawrence F. Shampine:
Contraction mappings for nonlinear boundary value problems. Computing 3(3): 205-214 (1968)
Conference and Workshop Papers
- 2004
- [c6]Pascal Gahinet, Lawrence F. Shampine:
Software for modeling and analysis of linear systems with delays. ACC 2004: 5600-5605 - 1996
- [c5]Lawrence F. Shampine, Mark W. Reichelt:
Developing ODE software in new computing environments. Quality of Numerical Software 1996: 224-235 - 1989
- [c4]Lawrence F. Shampine:
Practical improvements to SIMPR codes for stiff ODEs. Conference on Numerical Ordinary Differential Equations 1989: 328-345 - 1978
- [c3]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 - 1975
- [c2]Lawrence F. Shampine, Robert J. Thompson:
An efficient method for the numerical solution of one-phase Stefan problems. SIGNUM 1975: 18-19 - 1974
- [c1]M. K. Gordon, Lawrence F. Shampine:
Interpolating numerical solutions of ordinary differential equations. ACM Annual Conference (1) 1974: 46-53
Coauthor Index
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