Bath Numerical Analysis seminar

Numerical Analysis Research Group, Department of Mathematical Sciences, University of Bath

Location: 1W3.6

Time: Friday, 12:15-13:15

Everyone is welcome at these talks. Feel free to join us for lunch after the seminar.

Please send suggestions for talks to Alastair Spence <a.spence@maths.bath.ac.uk>

If you would like to be added to the list of people who receive email announcements, send a request to the above email address.

(tba: to be announced, tbc: to be confirmed)

Overview

Details

2007-10-05 Sean Buckeridge, Multigrid on a Sphere,

Sean Buckeridge (University of Bath)

Title : Multigrid on a Sphere

2007-10-12 Klaus Böhmer, Numerical Methods for Nonlinear Elliptic problems, a Synopsis,

Klaus Böhmer (Philipps-Universität Marburg)

http://www.mathematik.uni-marburg.de/~boehmer/

Title : Numerical Methods for Nonlinear Elliptic problems, a Synopsis

2007-10-19 Alastair Spence, Dynamical Systems and Non-Hermitian Iterative Eigensolvers,

Alastair Spence (University of Bath)

http://www.maths.bath.ac.uk/~as/

Title : Dynamical Systems and Non-Hermitian Iterative Eigensolvers

Abstract :

In this seminar Alastair will discuss the paper Dynamical Systems and Non-Hermitian Iterative Eigensolvers, by Mark Embree and Richard Lehoucq (http://www.sandia.gov/~rblehou/snl-sand2007-5463J.pdf).

2007-10-26 Ken Thomas, Nullspace Free Solutions of the Algebraic Eigenvalue Problem,

Ken Thomas (School of Electronics and Computer Science, University of Southampton)

http://www.ecs.soton.ac.uk/people/kst

Title : Nullspace Free Solutions of the Algebraic Eigenvalue Problem

Abstract :

We study the symmetric generalised eigenvalue problem in which the matrix has a significantly large nullspace and the first few nonzero eigenvalues are those of physical interest. We study the shift and invert Lanczos method and investigate methods that avoid the zero eigenvalues.

2007-11-02 Tatiana Kim, Computation of the Highly-Oscillatory Rayleigh Integral on Planar Domains,

Tatiana Kim (University of Bath)

Title : Computation of the Highly-Oscillatory Rayleigh Integral on Planar Domains

Abstract :

The HIFU (high intensity focused ultrasound) model developed in the Institute of Cancer Research involves a highly-oscillatory Rayleigh integral on a spherical domain. We are interested in a method which is accurate and efficient for the computation of such integral.

First we will study Filon-type methods which approximate highly-oscillatory integrals and derive a rigorous error bound for Filon-Trapezoidal quadrature. This quadrature can then be used to compute the Rayleigh integral.

We will implement this method on a rectangular planar domain to compare it with the established FFT method (Williams, Maynard) for the computation of the Rayleigh integral to validate our approach. Some challenges arise such as stationary points which we successfully overcome.

Finally, the extension of this method to spherical transducers will be outlined.

2007-11-09 Laura Hewitt, Conservative Methods for ODEs,

Laura Hewitt (University of Bath)

http://www.maths.bath.ac.uk/~ma0llh/

Title : Conservative Methods for ODEs

2007-11-16 Bruce Boutelje, Nonautonomous Stability of Linear Multistep Methods,

Bruce Boutelje (University of Bath)

http://www.maths.bath.ac.uk/~ma9brb/

Title : Nonautonomous Stability of Linear Multistep Methods

2007-11-23 tba

2007-11-30 tba

2007-12-07 Karl Meerbergen, The Lanczos method for Rayleigh damping,

Karl Meerbergen (Katholieke Universiteit Leuven)

http://www.cs.kuleuven.be/~karlm/

Title : The Lanczos method for Rayleigh damping

2007-12-14 Fynn Scheben, Neutron transport theory and criticality computations,

Fynn Scheben (University of Bath)

Title : Neutron transport theory and criticality computations

2007-12-21 no seminar, Christmas Vacation

2007-12-28 no seminar, Christmas Vacation

2008-01-04 no seminar, Christmas Vacation

2008-01-11 tba, Revision day

2008-01-18 tba, Unit assessment day

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