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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)
Sean Buckeridge (University of Bath)
Title : Multigrid on a Sphere
Klaus Böhmer (Philipps-Universität Marburg)
http://www.mathematik.uni-marburg.de/~boehmer/
Title : Numerical Methods for Nonlinear Elliptic problems, a Synopsis
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).
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.
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.
Laura Hewitt (University of Bath)
http://www.maths.bath.ac.uk/~ma0llh/
Title : Conservative Methods for ODEs
Bruce Boutelje (University of Bath)
http://www.maths.bath.ac.uk/~ma9brb/
Title : Nonautonomous Stability of Linear Multistep Methods
Karl Meerbergen (Katholieke Universiteit Leuven)
http://www.cs.kuleuven.be/~karlm/
Title : The Lanczos method for Rayleigh damping
Fynn Scheben (University of Bath)
Title : Neutron transport theory and criticality computations