Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients
We consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained.
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Texas State University
2005-09-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2005/102/abstr.html |
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doaj-105facce02274417b901c14866eb5b642020-11-24T21:03:56ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-09-012005102125Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficientsHongjie DongNicolai V. KrylovWe consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained.http://ejde.math.txstate.edu/Volumes/2005/102/abstr.htmlFinite-difference approximationslinear elliptic and parabolic equations. |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Hongjie Dong Nicolai V. Krylov |
spellingShingle |
Hongjie Dong Nicolai V. Krylov Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients Electronic Journal of Differential Equations Finite-difference approximations linear elliptic and parabolic equations. |
author_facet |
Hongjie Dong Nicolai V. Krylov |
author_sort |
Hongjie Dong |
title |
Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients |
title_short |
Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients |
title_full |
Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients |
title_fullStr |
Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients |
title_full_unstemmed |
Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients |
title_sort |
rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $c^1$ and $c^2$ coefficients |
publisher |
Texas State University |
series |
Electronic Journal of Differential Equations |
issn |
1072-6691 |
publishDate |
2005-09-01 |
description |
We consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained. |
topic |
Finite-difference approximations linear elliptic and parabolic equations. |
url |
http://ejde.math.txstate.edu/Volumes/2005/102/abstr.html |
work_keys_str_mv |
AT hongjiedong rateofconvergenceoffinitedifferenceapproximationsfordegeneratelinearparabolicequationswithc1andc2coefficients AT nicolaivkrylov rateofconvergenceoffinitedifferenceapproximationsfordegeneratelinearparabolicequationswithc1andc2coefficients |
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1716772618082713600 |