Journal article
Galerkin methods in age and space for a population model with nonlinear diffusion
SIAM journal on numerical analysis, Vol.40(3), pp.1064-1076
2002
DOI: 10.1137/S0036142900379679
Abstract
We present Galerkin methods in both the age and space variables for an age-dependent population undergoing nonlinear diffusion. The methods presented are a generalization of methods, where the approximation space in age is the space of piecewise constant functions. In this paper, we allow the use of discontinuous piecewise polynomial subspaces of L2as the approximation space in age. As in the piecewise constant case, we move the discretization along characteristic lines. The time variable has been left continuous. The methods are shown to be superconvergent in the age variable.
Details
- Title: Subtitle
- Galerkin methods in age and space for a population model with nonlinear diffusion
- Creators
- Bruce P AyatiTodd F Dupont
- Resource Type
- Journal article
- Publication Details
- SIAM journal on numerical analysis, Vol.40(3), pp.1064-1076
- DOI
- 10.1137/S0036142900379679
- ISSN
- 0036-1429
- eISSN
- 1095-7170
- Language
- English
- Date published
- 2002
- Academic Unit
- Orthopedics and Rehabilitation; Mathematics
- Record Identifier
- 9983985992702771
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