Abstract: We study and develo numerical techniques for time-integration and continuation in dissipative partial differential equations (PDEs). Starting from the most advanced time-integration techniques, we simplify those parts of the computation with negligible effect on the final result. Similar results will be used in continuation methods for parameter-dependent steady problems. The resulting techniques will be applied to natural convection problems in fluid mechanics, in order to complete stability and bifurcation diagrams, which cannot be computed with existing software.
Source of Funding: Promoción general del conocimiento DGICYT (PB98-00074) (General promotion of Knowledge)
Implied entities: Universidad Autónoma de Madrid
iMAT research line: RL7: Numerical Analysis
Researchers:
inv 1
inv2
