Fitted numerical methods for singular perturbation problems : error estimates in the maximum norm for linear problems in one and two dimensions / J.J.H. Miller, E. O'Riordan, G.I. Shishkin
Digitised Book 216.73.216.10 (0)
1996
Information About
This is a book about numerical methods for solving singularly perturbed differential equations. It is a theoretical book but throughout the text the reader is referred to papers published in the literature which contain material about the implementation of these methods and the results of extensive computations on test problems.
Additional Details
- Title
- Fitted numerical methods for singular perturbation problems : error estimates in the maximum norm for linear problems in one and two dimensions / J.J.H. Miller, E. O'Riordan, G.I. Shishkin
- Creators
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- Miller, John J. H.
- Subject
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- Differential equations--Numerical solutions
- Perturbation (Mathematics)
- Publisher
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- World Scientific, 1996
- National Library Board Singapore, 1996
- Contributors
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- O'Riordan, E. (Eugene)
- Shishkin, G. I.
- Digital Description
- application/pdf, ill.
- Table of Contents
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- 1. Motivation for the study of singular perturbation problems -- 2. Simple examples of singular perturbation problems -- 3. Numerical methods for singular perturbation problems -- 4. Simple fitted operator methods in one dimension -- 5. Simple fitted mesh methods in one dimension -- 6. Convergence of fitted mesh finite difference methods for linear reactiondiffusion problems in one dimension -- 7. Properties of upwind finite difference operators on piecewise uniform fitted meshes -- 8 Convergence of fitted mesh finite difference methods for linear convection diffusion problems in one dimension -- 9. Fitted mesh finite element methods for linear convection-diffusion problems in one dimension...
- Copyright
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- All Rights Reserved. National Library Board Singapore 2009.