Events

The Finite-Volume Method for Computational Fluid Dynamics

May
3
Thu 2012

10:00 - 11:00

Organised by Prof Jitesh Gajjar.

Hosted by University of Manchester.

See Part 1 of http://www.maths.manchester.ac.uk/ ∼ gajjar/magicalbooks/cfd2.html

AG Dynamics seminar: Stability and bifurcations of heteroclinic cycles of type Z

Mar
27
Tue 2012

16:00 - 17:00

Organised by Prof Peter Ashwin.

Hosted by University of Exeter.

Dynamical systems which are invariant under the action of a non-trivial symmetry group can possess structurally stable heteroclinic cycles. In this talk I discuss stability properties of a class of structurally stable heteroclinic cycles called heteroclinic cycles of type Z. It is well-known that a heteroclinic cycle that is not asymptotically stable can attract nevertheless a positive measure set from its small neighbourhood. I call such cycles fragmentarily asymptotically stable. Necessary and sufficient conditions for fragmentary asymptotic stability are expressed in terms of eigenvalues and eigenvectors of transition matrices. If all transverse eigenvalues of linearisations near steady states involved in the cycle are negative, then fragmentary asymptotic stability implies asymptotic stability. In the latter case the condition for asymptotic stability is that the transition matrices have an eigenvalue larger than one in absolute value. Finally, I discuss bifurcations occurring when the conditions for asymptotic stability or for fragmentary asymptotic stability are broken.

Mathematics of Risk Analysis

Mar
12
Mon 2012

17:00 - 18:00

Organised by Prof Jitesh Gajjar.

Hosted by University of Manchester.

Mathematics of Risk Analysis

Mar
5
Mon 2012

17:00 - 18:00

Organised by Prof Jitesh Gajjar.

Hosted by University of Manchester.

AG Dynamics Seminar

Feb
28
Tue 2012

16:00 - 17:00

Organised by Prof Peter Ashwin.

Hosted by University of Exeter.

Mathematics of Risk Analysis

Feb
27
Mon 2012

17:00 - 18:00

Organised by Prof Jitesh Gajjar.

Hosted by University of Manchester.

Mathematics of Risk Analysis

Feb
20
Mon 2012

17:00 - 18:00

Organised by Prof Jitesh Gajjar.

Hosted by University of Manchester.

Mathematics of Risk Analysis

Feb
13
Mon 2012

17:00 - 18:00

Organised by Prof Jitesh Gajjar.

Hosted by University of Manchester.

AG Dynamics Seminar

Jan
24
Tue 2012

16:00 - 17:00

Organised by Prof Peter Ashwin.

Hosted by University of Exeter.

Numerical Coomputation

Dec
13
Tue 2011

15:00 - 17:00

Organised by Prof Jitesh Gajjar.

Hosted by University of Manchester.

Numerical Computation

Dec
6
Tue 2011

15:00 - 17:00

Organised by Prof Jitesh Gajjar.

Hosted by University of Manchester.

1. Finite/Spectral Elements * Weak forms (link in with fluid flow equations above) * Orders of approximation and relative accuracy * Structured vs unstructured meshes * hp adaptivity * preconditioning for iterative linear solvers 2. Numerical Solid Mechanics * Governing equations and variational principles * Finite-element discretisation * Further matrix solution algorithms and preconditioning aspects 3. Fluid Structure Interaction * Motivating the physical problem * Coupling strategies and efficient numerical methods 4. Further possible specialist topics: * Stability analyses * Continuation, bifurcation detection and tracking * Free-surface flows using ALE methods * Coupled heat transfer / convection problems * DG methods for advection-dominated problems * Spectral Methods

Numerical Computation

Nov
29
Tue 2011

15:00 - 17:00

Organised by Prof Jitesh Gajjar.

Hosted by University of Manchester.

1. Finite/Spectral Elements * Weak forms (link in with fluid flow equations above) * Orders of approximation and relative accuracy * Structured vs unstructured meshes * hp adaptivity * preconditioning for iterative linear solvers 2. Numerical Solid Mechanics * Governing equations and variational principles * Finite-element discretisation * Further matrix solution algorithms and preconditioning aspects 3. Fluid Structure Interaction * Motivating the physical problem * Coupling strategies and efficient numerical methods 4. Further possible specialist topics: * Stability analyses * Continuation, bifurcation detection and tracking * Free-surface flows using ALE methods * Coupled heat transfer / convection problems * DG methods for advection-dominated problems * Spectral Methods

Numerical Computation

Nov
22
Tue 2011

15:00 - 17:00

Organised by Prof Jitesh Gajjar.

Hosted by University of Manchester.

1. Finite/Spectral Elements * Weak forms (link in with fluid flow equations above) * Orders of approximation and relative accuracy * Structured vs unstructured meshes * hp adaptivity * preconditioning for iterative linear solvers 2. Numerical Solid Mechanics * Governing equations and variational principles * Finite-element discretisation * Further matrix solution algorithms and preconditioning aspects 3. Fluid Structure Interaction * Motivating the physical problem * Coupling strategies and efficient numerical methods 4. Further possible specialist topics: * Stability analyses * Continuation, bifurcation detection and tracking * Free-surface flows using ALE methods * Coupled heat transfer / convection problems * DG methods for advection-dominated problems * Spectral Methods

AG Dynamics Seminar

Nov
15
Tue 2011

16:00 - 17:00

Organised by Prof Peter Ashwin.

Hosted by University of Exeter.

Numerical Computation

Nov
15
Tue 2011

15:00 - 16:00

Organised by Prof Jitesh Gajjar.

Hosted by University of Manchester.

1. Finite/Spectral Elements * Weak forms (link in with fluid flow equations above) * Orders of approximation and relative accuracy * Structured vs unstructured meshes * hp adaptivity * preconditioning for iterative linear solvers 2. Numerical Solid Mechanics * Governing equations and variational principles * Finite-element discretisation * Further matrix solution algorithms and preconditioning aspects 3. Fluid Structure Interaction * Motivating the physical problem * Coupling strategies and efficient numerical methods 4. Further possible specialist topics: * Stability analyses * Continuation, bifurcation detection and tracking * Free-surface flows using ALE methods * Coupled heat transfer / convection problems * DG methods for advection-dominated problems * Spectral Methods