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Manfred Trummer
What Manfred has to say about himself
| Status: |
CECM Member, Associate Professor |
| Affiliation: |
Department of Mathematics and Statistics, SFU |
| Email: |
mrt@cs.sfu.ca |
| Phone: |
(604) 291-3799 |
| Office: |
TLX10517 |
Research Interest
Most of my current research effort is spent on computing invariant manifolds for ordinary
differential equations and low-dimensional inertial manifolds for partial differential
equations. The main numerical tools are spectral and pseudospectral Galerkin methods.
These manifolds assist in studying the long-term behavior of the differential equations
involved. The dimension of the problem can be reduced significantly under certain assumptions,
and systems which ultimately exhibit low-dimensional space. Often a reduced dimension is
required to make bifurcation analysis, or long-term simulations feasible. Other research
projects are on spectral methods for partial differential equations (in particular, stability
and its relation to pseudo-eigenvalues of differentiation matrices), transformation techniques
for spectral methods for problems with thin boundary layers, numerical conformal mapping, and
iterative methods for solving large, unsymmetric systems of linear equations.
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