Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part I: Stability

2015 ◽  
Vol 53 (2) ◽  
pp. 701-719 ◽  
Author(s):  
Cesáreo González ◽  
Mechthild Thalhammer
Keyword(s):  
Higher Order ◽  
Parabolic Problems ◽  
Exponential Integrators

scholarly journals Higher-order exponential integrators for constrained semi-linear parabolic problems

2020 ◽  
Vol 2 (1) ◽  
pp. 14-20
Author(s):  
Johannes Wiedemann
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Dynamic ◽  
Order Of Convergence ◽  
Parabolic Systems ◽  
Higher Order ◽  
Parabolic Problems ◽  
Dynamic Boundary Conditions ◽  
Exponential Integrators ◽  
Dynamic Boundary

This paper provides an introduction to exponential integrators for constrained parabolic systems. In addition, building on existing results, schemes with an expected order of convergence of three and four are established and numerically tested on parabolic problems with nonlinear dynamic boundary conditions. The simulations reinforce the subjected error behaviour.

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