Bath Numerical Analysis seminar
Numerical Analysis Research Group, Department of Mathematical Sciences, University of Bath
Location: 1W3.6
Time: Friday, 12:1513:15
Everyone is welcome at these talks. Feel free to join us for lunch after the seminar.
The seminars for this semester are organised by Adrian Hill.
Please send suggestions for talks to Adrian Hill <A.T.Hill@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
 Overview
 Details

 20080208 Melina Freitag, The Mathematics of DataAssimilation,
 20080215 Oleg Batrašev, A Perspective on High Performance Computing,
 20080222 Robert Scheichl, A Rigorously Justified Robust Algebraic Preconditioner for HighContrast Diffusion Problems,
 20080229 Sean Buckeridge, Convergence Theory of Multigrid,
 20080307 Adrian Hill, An Introduction to Exponential Integrators for ODEs, [Introduction to next seminar by Jitse Niesen]
 20080314 Jitse Niesen, Exponential Integrators for SemiDiscretized PDEs,
 20080321 no seminar, Easter Vacation
 20080328 no seminar, Easter Vacation
 20080404 no seminar, Easter Vacation
 20080411 Jan Van lent, The Method of Fundamental Solutions and a Taste of Python,
 20080418 no seminar
 20080425 no seminar, Landscape talk by Rob Stevenson at 16:15.
 20080502 Christopher Baker, On Deterministic and Stochastic Differential Equations with Time Lag,
 20080509 Ivan Graham, Multiscale Finite Element Methods for HighContrast Elliptic Interface Problems,
 20080516 Max Jensen, Miscible Oil Recovery or NonConforming Compactness for DG Methods,
 20080523 Emily Walsh, The Parabolic Monge Ampere Moving Mesh Method,
 20080530 tba, Unit assessment day
 20080620 Clemens Pechstein, FETI Methods for Multiscale Elliptic PDEs and Nonlinear Magnetostatics Problems,
 20080704 Sarah Mitchell, FiniteDifference Methods with Increased Accuracy and Correct Initialisation for OneDimensional Stefan Problems,
 Previous Seminars
Details
20080208 Melina Freitag, The Mathematics of DataAssimilation,
Melina Freitag (University of Bath)
http://people.bath.ac.uk/mamamf/
Title : The Mathematics of DataAssimilation
20080215 Oleg Batrašev, A Perspective on High Performance Computing,
Oleg Batrašev (University of Tartu)
Title : A Perspective on High Performance Computing
20080222 Robert Scheichl, A Rigorously Justified Robust Algebraic Preconditioner for HighContrast Diffusion Problems,
Robert Scheichl (University of Bath)
http://www.maths.bath.ac.uk/~masrs/
Title : A Rigorously Justified Robust Algebraic Preconditioner for HighContrast Diffusion Problems
20080229 Sean Buckeridge, Convergence Theory of Multigrid,
Sean Buckeridge (University of Bath)
S.D.Buckeridge@maths.bath.ac.uk
Title : Convergence Theory of Multigrid
20080307 Adrian Hill, An Introduction to Exponential Integrators for ODEs, [Introduction to next seminar by Jitse Niesen]
Adrian Hill (University of Bath)
http://people.bath.ac.uk/masath/
Title : An Introduction to Exponential Integrators for ODEs
20080314 Jitse Niesen, Exponential Integrators for SemiDiscretized PDEs,
Jitse Niesen (University of Leeds)
http://www.ma.hw.ac.uk/~jitse/
Title : Exponential Integrators for SemiDiscretized PDEs
20080321 no seminar, Easter Vacation
20080328 no seminar, Easter Vacation
20080404 no seminar, Easter Vacation
20080411 Jan Van lent, The Method of Fundamental Solutions and a Taste of Python,
Jan Van lent (University of Bath)
http://www.maths.bath.ac.uk/~jvl20
Title : The Method of Fundamental Solutions and a Taste of Python
Abstract :
Inspired by the talk on advanced boundary element methods for the Helmholtz equation, presented by Jon Trevelyan on Monday 7 April, I will present another method for solving Helmholtz equations. I will briefly discuss some ideas from a recent paper by Barnett and Betcke. In the last part of the talk I will try to demonstrate that in the programming language Python we have a tool for numerical computations to rival Matlab.
20080418 no seminar
20080425 no seminar, Landscape talk by Rob Stevenson at 16:15.
20080502 Christopher Baker, On Deterministic and Stochastic Differential Equations with Time Lag,
Christopher Baker (University of Manchester)
http://www.maths.manchester.ac.uk/~cthbaker/
Title : On Deterministic and Stochastic Differential Equations with Time Lag
Abstract :
Many evolutionary problems that are often modelled by ordinary differential equations incorporate a lag in the response to changes that suggests that differential equations with lagging arguments (delay or retarded differential equations) might be more appropriate. We mention application areas and some of the theoretical and numerical approaches to such problems with lagging arguments. We then present, in brief, some results that relate to the numerical treatment of stochastic delay differential equations.
20080509 Ivan Graham, Multiscale Finite Element Methods for HighContrast Elliptic Interface Problems,
Ivan Graham (University of Bath)
http://www.maths.bath.ac.uk/~igg/
Title : Multiscale Finite Element Methods for HighContrast Elliptic Interface Problems
20080516 Max Jensen, Miscible Oil Recovery or NonConforming Compactness for DG Methods,
Max Jensen (Durham University)
http://www.maths.dur.ac.uk/~dma0mpj/
Title : Miscible Oil Recovery or NonConforming Compactness for DG Methods
Abstract :
Miscible displacement methods are increasingly used in oil recovery in order to enhance the production. For instance, currently about 4% of the US total is recovered by means of CO2based techniques.
In this seminar we examine a mathematical model which represents incompressible, miscible displacement of one fluid by another in a porous medium and its numerical approximation with a combined mixed finite element and discontinuous Galerkin method under minimal regularity assumptions.
The main result is that sequences of discrete solutions weakly accumulate at weak solutions of the continuous problem. In order to deal with the nonconformity of the method and to avoid overpenalisation of jumps across interelement boundaries, the careful construction of a reflexive subspace of the space of bounded variation, which compactly embeds into L^2, and of a lifting operator, which is compatible with the nonlinear diffusion coefficient, are examined. An equivalent skewsymmetric formulation of the convection and reaction terms of the nonlinear partial differential equation allows to avoid flux limitation and nonetheless leads to an unconditionally stable and convergent numerical method.
20080523 Emily Walsh, The Parabolic Monge Ampere Moving Mesh Method,
Emily Walsh (University of Bath)
Title : The Parabolic Monge Ampere Moving Mesh Method
20080530 tba, Unit assessment day
20080620 Clemens Pechstein, FETI Methods for Multiscale Elliptic PDEs and Nonlinear Magnetostatics Problems,
Clemens Pechstein (Johannes Kepler University Linz, Austria)
http://www.numa.unilinz.ac.at/~clemens/
Title : FETI Methods for Multiscale Elliptic PDEs and Nonlinear Magnetostatics Problems
Abstract : pechstein_bath.pdf
20080704 Sarah Mitchell, FiniteDifference Methods with Increased Accuracy and Correct Initialisation for OneDimensional Stefan Problems,
Sarah Mitchell (University of Limerick)
http://www.staff.ul.ie/mitchells/index.html http://www.iam.ubc.ca/~sarah/
Title : FiniteDifference Methods with Increased Accuracy and Correct Initialisation for OneDimensional Stefan Problems
Abstract : SM_abstract.pdf