ISSN:
1069-8299
Keywords:
time integration
;
finite element method
;
least squares formulation
;
multistep methods
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
The paper presents a formulation and analysis of three and four step least squares algorithms for first order IVPs. The three step algorithm is derived using cubic Lagrangian interpolation, and is found to be third order accurate but only conditionally stable. Fourth order Lagrangian interpolation is used to obtain a four step least squares scheme which is A0-stable but inconsistent.
Additional Material:
2 Tab.
Type of Medium:
Electronic Resource
Permalink