Numerical Analysis Seminars, 2007-2008, Semester 1 by rma97348

VIEWS: 9 PAGES: 4

									    Numerical Analysis Seminars, 2007-2008,

                                 Semester 1


                                  Jan Van lent


                              September 24, 2008




Contents
1 Overview                                                                            2
2 Details                                                                             2
  2.1    200710-05 Sean Buckeridge, Multigrid on a Sphere, . . . . . . .             2
  2.2    200710-12 Klaus Böhmer, Numerical Methods for Nonlinear El-
         liptic problems, a Synopsis, . . . . . . . . . . . . . . . . . . . . .       2
  2.3    200710-19 Alastair Spence, Dynamical Systems and Non-Hermitian
         Iterative Eigensolvers, . . . . . . . . . . . . . . . . . . . . . . . .      2
  2.4    200710-26 Ken Thomas, Nullspace Free Solutions of the Alge-
         braic Eigenvalue Problem, . . . . . . . . . . . . . . . . . . . . . .        3
  2.5    200711-02 Tatiana Kim, Computation of the Highly-Oscillatory
         Rayleigh Integral on Planar Domains, . . . . . . . . . . . . . . .           3
  2.6    200711-09 Laura Hewitt, Conservative Methods for ODEs, . . .                3
  2.7    200711-16 Bruce Boutelje, Nonautonomous Stability of Linear
         Multistep Methods, . . . . . . . . . . . . . . . . . . . . . . . . . .       4
  2.8    200711-23 tba . . . . . . . . . . . . . . . . . . . . . . . . . . . .       4
  2.9    200711-30 tba . . . . . . . . . . . . . . . . . . . . . . . . . . . .       4
  2.10   200712-07 Karl Meerbergen, The Lanczos method for Rayleigh
         damping,     . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   4
  2.11   200712-14 Fynn Scheben, Neutron transport theory and critical-
         ity computations,      . . . . . . . . . . . . . . . . . . . . . . . . . .   4
  2.12   200712-21 no seminar, Christmas Vacation . . . . . . . . . . . .            4
  2.13   200712-28 no seminar, Christmas Vacation . . . . . . . . . . . .            4
  2.14   200801-04 no seminar, Christmas Vacation . . . . . . . . . . . .            4
  2.15   200801-11 tba, Revision day . . . . . . . . . . . . . . . . . . . .         4
  2.16   200801-18 tba, Unit assessment day . . . . . . . . . . . . . . . .          4

3 Previous Seminars                                                                   4




                                          1
   Other versions of this document: HTML1 PDF2 Latex3 Plain text4 Sum-
mary5
   Current Seminar Series6
   Numerical Analysis Research Group7 , Department of Mathematical Sci-
ences8 , University of Bath9
   Location: 1W3.6
   Time: Friday, 12:1513:15
   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.spencemaths.bath.ac.uk>10
   If you would like to be added to the list of people who receive email an-
nouncements, send a request to the above email address.
   (tba: to be announced, tbc: to be conrmed)


1     Overview
2     Details
2.1    200710-05 Sean Buckeridge,                 Multigrid on a Sphere,

Sean Buckeridge (University of Bath)
   Title : Multigrid on a Sphere



2.2    200710-12 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



2.3    200710-19 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

  1 na-seminars.html
  2 na-seminars.pdf
  3 na-seminars.tex
  4 na-seminars-txt.txt
  5 na-seminars-short.txt
  6 http://www.maths.bath.ac.uk/ jvl20/na-seminars/na-seminars.html
  7 http://www.bath.ac.uk/math-sci/research/num-analysis.html
  8 http://www.bath.ac.uk/math-sci/
  9 http://www.bath.ac.uk/
 10 mailto:a.spence@maths.bath.ac.uk




                                          2
   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).

2.4    200710-26 Ken Thomas,              Nullspace Free Solutions of
       the Algebraic Eigenvalue Problem,

Ken Thomas (School of Electronics and Computer Science, University of Southamp-
ton)
   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 signicantly large nullspace and the rst few nonzero eigenvalues are
those of physical interest. We study the shift and invert Lanczos method and
investigate methods that avoid the zero eigenvalues.

2.5    200711-02 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 In-
stitute of Cancer Research involves a highly-oscillatory Rayleigh integral on a
spherical domain. We are interested in a method which is accurate and ecient
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 out-
lined.

2.6    200711-09 Laura Hewitt,             Conservative Methods for
       ODEs,

Laura Hewitt (University of Bath)
   http://www.maths.bath.ac.uk/~ma0llh/
   Title : Conservative Methods for ODEs




                                       3
2.7    200711-16 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



2.8    200711-23 tba
2.9    200711-30 tba
2.10    200712-07 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



2.11    200712-14 Fynn Scheben,                Neutron transport theory
        and criticality computations,

Fynn Scheben (University of Bath)
   Title : Neutron transport theory and criticality computations



2.12    200712-21 no seminar, Christmas Vacation
2.13    200712-28 no seminar, Christmas Vacation
2.14    200801-04 no seminar, Christmas Vacation
2.15    200801-11 tba, Revision day
2.16    200801-18 tba, Unit assessment day
3     Previous Seminars
    • 2006-2007 sem 111

    • 2005-2006 sem 112

    • 2006-2007 sem 213




 11 http://www.maths.bath.ac.uk/ igg/naseminars.html
 12 http://www.maths.bath.ac.uk/ masrs/naseminars.html
 13 ../2006-2007_sem2/na-seminars.pdf



                                         4

								
To top