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Strong stability preserving methods

Strong Stability Preserving Methods. For nonlinear nonautonomous systems:. For linear, autonomous systems:. This website was developed by David Ketcheson, Daniel Higgs, and Sigal Gottlieb and is currently maintained by Daniel Higgs. The development of the methods in this web site and the numerical test suite. Were partially supported by funding from AFOSR grant numbers. And by KAUST grant number FIC/2010/05. Thursday, 13-Aug-2015 22:15:21 MDT.

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Strong stability preserving methods | sspsite.org Reviews

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Strong Stability Preserving Methods. For nonlinear nonautonomous systems:. For linear, autonomous systems:. This website was developed by David Ketcheson, Daniel Higgs, and Sigal Gottlieb and is currently maintained by Daniel Higgs. The development of the methods in this web site and the numerical test suite. Were partially supported by funding from AFOSR grant numbers. And by KAUST grant number FIC/2010/05. Thursday, 13-Aug-2015 22:15:21 MDT.

<META> KEYWORDS

1 optimized methods

2 explicit methods

3 runge kutta

4 multistep

5 multistep multistage msrk

6 implicit methods

7 matlab scripts

8 paper scripts

9 test suite

10 bibliography

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optimized methods,explicit methods,runge kutta,multistep,multistep multistage msrk,implicit methods,matlab scripts,paper scripts,test suite,bibliography

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Strong stability preserving methods | sspsite.org Reviews

https://sspsite.org

Strong Stability Preserving Methods. For nonlinear nonautonomous systems:. For linear, autonomous systems:. This website was developed by David Ketcheson, Daniel Higgs, and Sigal Gottlieb and is currently maintained by Daniel Higgs. The development of the methods in this web site and the numerical test suite. Were partially supported by funding from AFOSR grant numbers. And by KAUST grant number FIC/2010/05. Thursday, 13-Aug-2015 22:15:21 MDT.

INTERNAL PAGES

sspsite.org

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Explicit Linear Multistep methods

http://www.sspsite.org/elmm_nl.html

Explicit SSP Linear Multistep Methods for Nonlinear Systems. For nonlinear nonautonomous systems:. For linear, autonomous systems:. SSP Coefficients of optimal methods. Optimal first order explicit SSP multistep methods consist simply of repeated forward Euler steps. These methods all have effective SSP coefficient equal to unity and are equivalent to simply using the forward Euler method. Third and Fourth Order.

2

Implicit Runge-Kutta methods

http://www.sspsite.org/irk_nl.html

Implicit SSP Runge-Kutta Methods for Nonlinear Systems. For linear, autonomous systems:. The backward Euler method is unconditionally SSP. Within the class of general linear methods, only first order methods can be unconditionally SSP.

3

ssp

http://www.sspsite.org/sspbib.html

A Bellen, Z. Jackiewicz, and M. Zennaro. Contractivity of waveform relaxation Runge-Kutta iterations and related limit methods for dissipative systems in the maximum norm. SIAM Journal of Numerical Analysis. 31:499-523, 1994. [ bib. A Bellen and L. Torelli. Unconditional contractivity in the maximum norm of diagonally split Runge-Kutta methods. SIAM Journal of Numerical Analysis. 34:528-543, 1997. [ bib. 53:265-279, 2005. [ bib. 249:201-219, 2005. [ bib. SIAM Journal of Numerical Analysis. Sigal Gottlieb...

4

Explicit Linear Multistep methods

http://www.sspsite.org/elmm_lin.html

Explicit SSP Linear Multistep Methods for Nonlinear Systems. For linear, autonomous systems:. Explicit linear multistep methods have the same SSP properties whether applied to linear or nonlinear equations. SSP Coefficients of optimal methods. Optimal first order explicit SSP multistep methods consist simply of repeated forward Euler steps. These methods all have effective SSP coefficient equal to unity and are equivalent to simply using the forward Euler method. Third and Fourth Order.

5

Matlab Scripts

http://www.sspsite.org/matlab_scripts.html

For nonlinear nonautonomous systems:. For linear, autonomous systems:. Scripts for Runge-Kutta methods. Manipulating the coefficient arrays:. Generates Shu-Osher arrays for an explicit Runge-Kutta method, given the Butcher array. Generates Butcher array for a Runge-Kutta method, given the Shu-Osher arrays. Generates Butcher arrays for various Runge-Kutta methods. Analyzing properties of the methods:. Calculates order of accuracy of a Runge-Kutta method, given the Butcher array.

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numerics.kaust.edu.sa

KAUST Numerical Mathematics Group: Publications

http://numerics.kaust.edu.sa/publications.html

The Numerical Mathematics Group. Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes. W Auzinger, H. Hofstatter, D. I. Ketcheson, and O. Koch. Strong stability preserving explicit linear multistep methods with variable step size. Yiannis Hadjimichael, David I. Ketcheson, Lajos Lóczi, and Adrián Németh. Optimal monotonicity–preserving perturbations of a given Runge-Kutta method. Optimal strong-stability-p...

davidketcheson.info

Publications

http://www.davidketcheson.info/publications.html

Search by title or author:. Waves in periodic media. Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes. W Auzinger, H. Hofstatter, D. I. Ketcheson, and O. Koch. Strong stability preserving explicit linear multistep methods with variable step size. Yiannis Hadjimichael, David I. Ketcheson, Lajos Lóczi, and Adrián Németh. Optimal monotonicity–preserving perturbations of a given Runge-Kutta method. Optima...

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sspsite.org

Strong stability preserving methods

Strong Stability Preserving Methods. For nonlinear nonautonomous systems:. For linear, autonomous systems:. This website was developed by David Ketcheson, Daniel Higgs, and Sigal Gottlieb and is currently maintained by Daniel Higgs. The development of the methods in this web site and the numerical test suite. Were partially supported by funding from AFOSR grant numbers. And by KAUST grant number FIC/2010/05. Thursday, 13-Aug-2015 22:15:21 MDT.

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