Martin Stoll

in Scotland

About me...

I am a DPhil student in the Numerical Analysis Group working with Andy Wathen. I am affiliated to Balliol College. I did my undergraduate degree at the TU Chemnitz working with Peter Benner.

Research interests

I am interested in Numerical Linear Algebra with a particular focus on iterative solvers for saddle point problems and preconditioning. I am also interested in the connection between numerical linear algebra and Gauss quadrature as well as computing the Truncated SVD with applications in gene expression analysis. During my Diploma thesis I worked on a Krylov-Schur like algorithm for Hamiltonian matrices.

Teaching and Marking

• Michaelmas Term 2005
  • No marking or teaching
• Hilary Term 2006
  • Marking for Numerical Analysis
• Trinity Term 2006
  • No marking or teaching
• Michaelmas Term 2006
  • Marking and teaching for Numerical Linear Algebra
• Hilary Term 2007
  • Marking and teaching for Numerical Analysis
  • Revision for Numerical Linear Algebra
• Trinity Term 2007
  • Revision for Numerical Linear Algebra
• Michaelmas Term 2007
  • Lectures and classes for Matlab induction
  • Marking and teaching for Numerical Linear Algebra
• Hilary Term 2008
  • Marking and teaching for Numerical Analysis

Publications

• Theses
  • Purging und Locking für den Hamiltonischen Lanczos-Prozess (German), Diploma Thesis, July 2005
• Papers
  • Combination preconditioning and the Bramble-Pasciak$^{+}$ preconditioner, with Andy Wathen, accepted SIMAX
  • Solving Large-Scale Quadratic Eigenvalue Problems with Hamiltonian eigenstructure using a Structure-Preserving Krylov Subspace Method, with Peter Benner and Heike Faßbender, submitted to ETNA, October 2006
  • Approximation of the scattering amplitude , with Gene Golub and Andy Wathen, submitted to ETNA, November 2007
• Preprints
  • Solving Large-Scale Quadratic Eigenvalue Problems with Hamiltonian eigenstructure using a Structure-Preserving Krylov Subspace Method, with Peter Benner and Heike Faßbender, October 2006, Oxford preprint
  • Combination preconditioning and self-adjointness in non-standard inner products with application to saddle point problems , with Andy Wathen, submitted, April 2007, Oxford preprint
  • The Bramble-Pasciak-plus preconditioner for saddle point problems , with Andy Wathen, submitted, July 2007, Oxford preprint
  • Approximation of the scattering amplitude , with Gene Golub and Andy Wathen, submitted, November 2007, Oxford preprint
  • A Krylov-Schur approach to the truncated SVD, submitted, March 2008, Oxford preprint

Talks

• Seminars and Misc
  • Ein implicit restarted sympletic Lanczosalgorithmus für Hamiltonische Eigenwertprobleme (German)
    Research Seminar Numerical Analysis, Chemnitz, January 2005
  • Purging und Locking für den Hamiltonischen Lanczos-Prozess
    Defense of Diploma Thesis, Chemnitz, September 2005
  • Various talks in the Oxford NA group internal seminar, i.e. IEEE arithmetic, Radau solver, UMFPACK, Pseudospectra and Krylov subspace solvers, Combination Preconditionung
    
• Conferences and Workshops
  • Locking and Purging for the Hamiltonian Lanczos Process,
    GAMM Workshop Applied and Numerical Linear Algebra, Dresden, September 2005
  • A structured-exploiting Krylov-Schur-type method for second-order eigenproblems with Hamiltonian symmetry,
    GAMM and SIAM Conference on Applied Linear Algebra,Düsseldorf, July 2006
  • Optimal Short-Term Recurrences for Solving Linear Systems,
    2nd Internal Numerical Analysis Student Conference, Oxford, December 2006
  • The Bramble-Pasciak-plus preconditioner for saddle point problems,
    Numerical Analysis Postgraduate Conference, Oxford, April 2007
  • Combination preconditioning and self-adjointness in non-standard inner products with application to saddle point problems,
    Dundee Numerical Analysis Conference, Dundee, June 2007
  • The Bramble-Pasciak Preconditioner and Combination Preconditioning,
    Computational Methods with Applications, Harrachov, Czech Republic, September 2007

Participation

• Conferences
  • Annual Meeting UK and Republic of Ireland SIAM section, Cardiff, January 2006
  • GAMM Annual Meeting, Berlin, March 2006
  • GAMM and SIAM Conference on Applied Linear Algebra, Düsseldorf, July 2006
  • Postgraduate NA Day at Brunel University, Brunel University, Uxbridge, October 2006
  • 2nd Internal Numerical Analysis Student Conference, Oxford, December 2006
  • Annual Meeting UK and Republic of Ireland SIAM section, Oxford, January 2007
  • Postgraduate NA Day at Oxford University, Oxford University, Oxford, April 2007
  • 22nd BIENNIAL CONFERENCE ON NUMERICAL ANALYSIS University of Dundee, Scotland, UK, June 2007
  • Computational Methods with Applications Harrachov, Czech Republic, August 2007
• Workshops & Courses
  • GAMM Workshop Applied and Numerical Linear Algebra, Dresden, September 2005
  • Spectral Properties of Banded Toeplitz Matrices, Reading, June 2007

Links

• Work
  • citeseer,jstor,locus,web of science,mathscinet,google scholar,Oxford NA reports,test
• Other