Zobrazeno 1 - 10
of 50
pro vyhledávání: '"L. F. Shampine"'
This concise text, first published in 2003, is for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics, and can also serve as a quick reference for professionals. The major top
Autor:
L. F. Shampine
Publikováno v:
International Journal of Computer Mathematics. 88:2348-2358
When ω is large, the integrand of [image omitted] is highly oscillatory and conventional quadrature programs are ineffective. A new method based on a smooth cubic spline is implemented in a Matlab program osc that is both easy to use and effective f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::646b6e4d79eaf95a0f24e1f18d2cea2b
https://doi.org/10.1080/00207160.2010.537330
https://doi.org/10.1080/00207160.2010.537330
Autor:
L. F. Shampine
Publikováno v:
Applied Numerical Analysis & Computational Mathematics. 2:346-358
Software is developed in Matlab to solve initial–boundary value problems for first order systems of hyperbolic partial differential equations (PDEs) in one space variable x and time t . (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc63322f3f773f5304e802b9bad0661c
https://doi.org/10.1002/anac.200510025
https://doi.org/10.1002/anac.200510025
Autor:
L. F. Shampine
Publikováno v:
Journal of Scientific Computing. 25:3-16
This article is about the numerical solution of initial value problems for systems of ordinary differential equations. At first these problems were solved with a fixed method and constant step size, but nowadays the general-purpose codes vary the ste
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2d01b73f9ea5753d399443313077ce2
https://doi.org/10.1007/s10915-004-4629-3
https://doi.org/10.1007/s10915-004-4629-3
Autor:
L. F. Shampine
Publikováno v:
Numerical Methods for Partial Differential Equations. 10:739-755
Factors influencing the choice of ODE solver for the numerical solution of PDEs by the method of lines are investigated. The advection—diffusion equation is used to gain insight that is generalized to some classes of nonlinear PDEs. Numerical resul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f1cae9b7ab53de6d12d8c88a565172a
https://doi.org/10.1002/num.1690100608
https://doi.org/10.1002/num.1690100608
Autor:
L. F. Shampine
Publikováno v:
Recent Advances in Computational and Applied Mathematics ISBN: 9789048199808
Vectorization is very important to the efficiency of computation in the popular problem-solving environment Matlab. Here we develop an explicit Runge–Kutta (7,8) pair of formulas that exploits vectorization. Conventional Runge–Kutta pairs control
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8ac70a720b9a45450b274e9919dc970
https://doi.org/10.1007/978-90-481-9981-5_11
https://doi.org/10.1007/978-90-481-9981-5_11
Autor:
L. F. Shampine, W. Zhang
Publikováno v:
SIAM Journal on Numerical Analysis. 27:1506-1518
Variable stepsize, variable order multistep codes are among the most popular for the solution of the initial value problem for a system of ordinary differential equations. The typical code starts with a formula of order 1 and builds up the stepsize a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f9891f09000c7e91c34b990dc830c4e
https://doi.org/10.1137/0727087
https://doi.org/10.1137/0727087