monotone scheme
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scholarly journals A monotone scheme for sparsity optimization in lp with p Є (0,1]

2017 ◽  
Vol 50 (1) ◽  
pp. 494-499 ◽  
Author(s):  
Daria Ghilli ◽  
Karl Kunisch
Keyword(s):  
Monotone Scheme

scholarly journals A monotone scheme for high-dimensional fully nonlinear PDEs

2015 ◽  
Vol 25 (3) ◽  
pp. 1540-1580 ◽  
Author(s):  
Wenjie Guo ◽  
Jianfeng Zhang ◽  
Jia Zhuo
Keyword(s):  
Nonlinear Pdes ◽  
High Dimensional ◽  
Fully Nonlinear ◽  
Fully Nonlinear Pdes ◽  
Monotone Scheme

scholarly journals Monotone schemes for fully nonlinear parabolic path dependent PDEs

2014 ◽  
Vol 01 (01) ◽  
pp. 1450005 ◽  
Author(s):  
Jianfeng Zhang ◽  
Jia Zhuo
Keyword(s):  
Rate Of Convergence ◽  
Viscosity Solution ◽  
Fully Nonlinear ◽  
Dependent Case ◽  
Seminal Work ◽  
Monotone Schemes ◽  
Monotone Scheme ◽  
Nonlinear Parabolic ◽  
Path Dependent ◽  
Case Based

In this paper, we extend the results of the seminal work Barles and Souganidis (1991) to path dependent case. Based on the viscosity theory of path dependent PDEs, developed by Ekren et al. (2012a, 2012b, 2014a and 2014b), we show that a monotone scheme converges to the unique viscosity solution of the (fully nonlinear) parabolic path dependent PDE. An example of such monotone scheme is proposed. Moreover, in the case that the solution is smooth enough, we obtain the rate of convergence of our scheme.

scholarly journals Consistency result for a non monotone scheme for anisotropic mean curvature flow

2012 ◽  
pp. 1-35 ◽  
Author(s):  
Eric Bonnetier ◽  
Elie Bretin ◽  
Antonin Chambolle
Keyword(s):  
Mean Curvature ◽  
Mean Curvature Flow ◽  
Curvature Flow ◽  
Monotone Scheme ◽  
Anisotropic Mean Curvature

scholarly journals Convergence of a non-monotone scheme for Hamilton–Jacobi–Bellman equations with discontinous initial data

2009 ◽  
Vol 115 (1) ◽  
pp. 1-44 ◽  
Author(s):  
Olivier Bokanowski ◽  
Nadia Megdich ◽  
Hasnaa Zidani
Keyword(s):  
Initial Data ◽  
Bellman Equations ◽  
Monotone Scheme ◽  
Hamilton Jacobi Bellman

A monotone scheme for Hamilton-Jacobi equations via the nonstandard finite difference method

2009 ◽  
Vol 33 (1) ◽  
pp. 41-48 ◽  
Author(s):  
Roumen Anguelov ◽  
Jean M.-S. Lubuma ◽  
Froduald Minani
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Monotone Scheme ◽  
Jacobi Equations ◽  
Nonstandard Finite Difference
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