A Comparison Method for Stability Analysis of Nonlinear Parabolic Problems

SIAM Review ◽  
1978 ◽  
Vol 20 (2) ◽  
pp. 245-264 ◽  
Author(s):  
D. G. Aronson
Keyword(s):  
Stability Analysis ◽  
Comparison Method ◽  
Parabolic Problems ◽  
Nonlinear Parabolic Problems ◽  
Nonlinear Parabolic

scholarly journals Flux form Semi-Lagrangian methods for parabolic problems

2016 ◽  
Vol 7 (3) ◽  
pp. 56-73
Author(s):  
Luca Bonaventura ◽  
Roberto Ferretti
Keyword(s):  
Stability Analysis ◽  
Nonlinear Diffusion ◽  
Diffusion Equations ◽  
Parabolic Problems ◽  
Nonlinear Diffusion Equations ◽  
Nonlinear Parabolic Problems ◽  
Numerical Examples ◽  
Advection Diffusion ◽  
Nonlinear Parabolic ◽  
Linear And Nonlinear

Abstract A semi-Lagrangian method for parabolic problems is proposed, that extends previous work by the authors to achieve a fully conservative, flux-form discretization of linear and nonlinear diffusion equations. A basic consistency and stability analysis is proposed. Numerical examples validate the proposed method and display its potential for consistent semi-Lagrangian discretization of advection diffusion and nonlinear parabolic problems.

Renormalized solutions to nonlinear parabolic problems in generalized Musielak–Orlicz spaces

2015 ◽  
Vol 129 ◽  
pp. 1-36 ◽  
Author(s):  
P. Gwiazda ◽  
P. Wittbold ◽  
A. Wróblewska-Kamińska ◽  
A. Zimmermann
Keyword(s):  
Orlicz Spaces ◽  
Parabolic Problems ◽  
Renormalized Solutions ◽  
Nonlinear Parabolic Problems ◽  
Nonlinear Parabolic

scholarly journals Backward Euler discretization of fully nonlinear parabolic problems

2001 ◽  
Vol 71 (237) ◽  
pp. 125-146 ◽  
Author(s):  
C. González ◽  
A. Ostermann ◽  
C. Palencia ◽  
M. Thalhammer
Keyword(s):  
Parabolic Problems ◽  
Nonlinear Parabolic Problems ◽  
Fully Nonlinear ◽  
Nonlinear Parabolic ◽  
Backward Euler ◽  
Euler Discretization
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