Discretization of n-th order differential equations on 1-atom shift generated spaces and numerical solving
Author: François Chaplais, Third International Congress on Industrial and Applied Mathematics ICIAM 1995, Vol. 1, pp. 373-374, Akademie Verlag, Hamburg 1995
The method presented here uses both the Strang and Fix conditions and the regularity of the finite elements. By keeping a nth order formulation, we reduce the number of equation variables at the expense of a greater regularity requirement on the atoms. We also show that an nth order theory of characteristics can be applied to the variations of the solutions.
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BibTeX:
@Proceedings{,
author = {Chaplais, François},
editor = {Götz Alefeld, Oskar Mahrenholtz, Reinhard Mennicken},
title = {Discretization of n-th order differential equations on 1-atom shift generated spaces and numerical solving},
booktitle = {Third International Congress on Industrial and Applied Mathematics ICIAM 1995},
volume = {1},
publisher = {Akademie Verlag},
address = {Hamburg},
pages = {373-374},
year = {1995},
abstract = {The method presented here uses both the Strang and Fix conditions and the regularity of the finite elements. By keeping a nth order formulation, we reduce the number of equation variables at the expense of a greater regularity requirement on the atoms. We also show that an nth order theory of characeristics can be applied to the variations of the solutions.},
keywords = {}}
The method presented here uses both the Strang and Fix conditions and the regularity of the finite elements. By keeping a nth order formulation, we reduce the number of equation variables at the expense of a greater regularity requirement on the atoms. We also show that an nth order theory of characteristics can be applied to the variations of the solutions.
Download PDF
BibTeX:
@Proceedings{,
author = {Chaplais, François},
editor = {Götz Alefeld, Oskar Mahrenholtz, Reinhard Mennicken},
title = {Discretization of n-th order differential equations on 1-atom shift generated spaces and numerical solving},
booktitle = {Third International Congress on Industrial and Applied Mathematics ICIAM 1995},
volume = {1},
publisher = {Akademie Verlag},
address = {Hamburg},
pages = {373-374},
year = {1995},
abstract = {The method presented here uses both the Strang and Fix conditions and the regularity of the finite elements. By keeping a nth order formulation, we reduce the number of equation variables at the expense of a greater regularity requirement on the atoms. We also show that an nth order theory of characeristics can be applied to the variations of the solutions.},
keywords = {}}