An hp a priori error analysis of¶the DG time-stepping method for initial value problems

CALCOLO ◽  
2000 ◽  
Vol 37 (4) ◽  
pp. 207-232 ◽  
Author(s):  
D. Schötzau ◽  
C. Schwab
Keyword(s):  
Error Analysis ◽  
Initial Value Problems ◽  
A Priori ◽  
Initial Value ◽  
Time Stepping ◽  
A Priori Error Analysis

An L∞-error Estimate for the h-p Version Continuous Petrov-Galerkin Method for Nonlinear Initial Value Problems

2015 ◽  
Vol 5 (4) ◽  
pp. 301-311 ◽  
Author(s):  
Lijun Yi
Keyword(s):  
Error Estimate ◽  
Galerkin Method ◽  
Error Bound ◽  
Initial Value Problems ◽  
Initial Value ◽  
Numerical Examples ◽  
Time Stepping ◽  
Theoretical Results

AbstractThe h-p version of the continuous Petrov-Galerkin time stepping method is analyzed for nonlinear initial value problems. An L∞-error bound explicit with respect to the local discretization and regularity parameters is derived. Numerical examples are provided to illustrate the theoretical results.

scholarly journals A Priori Error Analysis and Spring Arithmetic

2009 ◽  
Vol 31 (3) ◽  
pp. 2214-2230 ◽  
Author(s):  
Gilles Chabert ◽  
Luc Jaulin
Keyword(s):  
Error Analysis ◽  
A Priori ◽  
A Priori Error Analysis

Time-discrete higher order ALE formulations: a priori error analysis

2013 ◽  
Vol 125 (2) ◽  
pp. 225-257 ◽  
Author(s):  
Andrea Bonito ◽  
Irene Kyza ◽  
Ricardo H. Nochetto
Keyword(s):  
Error Analysis ◽  
A Priori ◽  
Higher Order ◽  
A Priori Error Analysis
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