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MSc in Mathematical Modelling & Scientific Computing MSc in Applied and Computational Mathematics | Special topic |
12 lectures HT 2004 Dr D Donnelly |
Synopsis
Steady-state free-boundary problems. Iterative (trial free boundary) methods. Variable domain methods. Variational inequalities.
Stefan type moving-boundary problems. Simple front tracking methods. Enthalpy method. Coordinate transformation and invariant embedding methods.
Reading List
- J R Ockendon and W R Hodgkins (Ed.), Moving Boundary Problems in Heat Flow and Diffusion - especially the contributions by Tayler, Ockendon, Atthey and Crank,
- C M Elliott and J R Ockendon, Weak and Variational Methods for Moving Boundary Problems, Pitmans, 1982
- J Crank, Free and Moving Boundary Problems, OUP, 1984