Convergence Rate for Difference Schemes for Polyhedral Nonlinear Parabolic Equations
Year: 2010
Journal of Computational Mathematics, Vol. 28 (2010), Iss. 4 : pp. 474–488
Abstract
We build finite difference schemes for a class of fully nonlinear parabolic equations. The schemes are polyhedral and grid aligned. While this is a restrictive class of schemes, a wide class of equations are well approximated by equations from this class. For regular (C2,α) solutions of uniformly parabolic equations, we also establish of convergence rate of O(α). A case study along with supporting numerical results is included.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1003-m0013
Journal of Computational Mathematics, Vol. 28 (2010), Iss. 4 : pp. 474–488
Published online: 2010-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Error estimates Convergence rate Viscosity solutions Finite difference schemes
-
Convergence of a semi-discretization scheme for the Hamilton–Jacobi equation: A new approach with the adjoint method
Cagnetti, F. | Gomes, D. | Tran, H.V.Applied Numerical Mathematics, Vol. 73 (2013), Iss. P.2
https://doi.org/10.1016/j.apnum.2013.05.004 [Citations: 4] -
A High-Order Iterative Scheme for a Nonlinear Pseudoparabolic Equation and Numerical Results
Nhan, Nguyen Huu | Dung, Tran Trinh Manh | Thanh, Le Thi Mai | Ngoc, Le Thi Phuong | Long, Nguyen Thanh | Sahin, BekirMathematical Problems in Engineering, Vol. 2021 (2021), Iss. P.1
https://doi.org/10.1155/2021/8886184 [Citations: 2] -
Some regularity and convergence results for parabolic Hamilton-Jacobi-Bellman equations in bounded domains
Picarelli, Athena | Reisinger, Christoph | Rotaetxe Arto, JulenJournal of Differential Equations, Vol. 268 (2020), Iss. 12 P.7843
https://doi.org/10.1016/j.jde.2019.11.081 [Citations: 2]