L. F. Shampine

Mathematics · Physical Sciences

51h-index16.8kcitations257works0.02yr avg
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Research Topics

Numerical methods for differential equations(147), Advanced Numerical Methods in Computational Mathematics(60), Matrix Theory and Algorithms(41), Electromagnetic Simulation and Numerical Methods(39), Differential Equations and Numerical Methods(33)

Publications257 total

Numerical Solution of Ordinary Differential Equations
2018· 74 cited
The Mathematical Problem
2018
The Computational Problem
2018
Error Estimation and Control
2018
Stiff Problems
2018
Discrete Variable Methods
2018· 8 cited
Convergence and Stabilit
2018
Stability for Large Step Sizes
2018
Basic Methods
2018
R&D-based Calibrated Growth Models with Finite-Length Patents: A Novel Relaxation Algorithm for Solving an Autonomous FDE System of Mixed Type
Computational Economics·2016· 13 cited
Dense Output
2015· 3 cited
Finite-length Patents and Functional Differential Equations in a Non-scale R&D-based Growth Model
RePEc: Research Papers in Economics·2014
Efficient Filon method for oscillatory integrals
Applied Mathematics and Computation·2013· 8 cited
Delay-Differential Equations with Constant Lags
CODEE Journal·2012Open Access
Integrating oscillatory functions in M<scp>atlab</scp>
International Journal of Computer Mathematics·2011· 6 cited
Vectorized Solution of ODEs in Matlab with Control of Residual and Error
2010· 4 cited
Weighted quadrature by change of variable
Neural, Parallel & Scientific Computations archive·2010· 4 cited
Vectorized Solution of ODEs in Matlab
Scalable Computing Practice and Experience·2009· 7 cited
Stability of the leapfrog/midpoint method
Applied Mathematics and Computation·2008· 18 cited
Algorithm 876
ACM Transactions on Mathematical Software·2008· 67 cited
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Frequent Co-authors

H.A. Watts(7), S. Thompson(4), Jacek A. Kierzenka(4), Marilyn K. Gordon(3), I. Gladwell(3), Mark W. Reichelt(2), P. Bogacki(2), Robert D. Russell(2), R. W. Brankin(2), W. H. Press(1), Brian P. Flannery(1), Saul A. Teukolsky(1), William T. Vetterling(1), S. M. Roberts(1), J. S. Shipman(1), J. C. Butcher(1), Douglas N. Arnold(1), M.E. Hosea(1), S.M. Davenport(1), B.P. Sommeijer(1)