School of Mathematics

Jitse Niesen — Talks

My talks are listed in reverse chronological order. Of course, you are more than welcome to mail me any comments on the above material.

2011

• "Modified equations for Hamiltonian systems".
  Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing, China, August 2011.
  Download in PDF format (640 kB).
• "On the numerical computation of the modified energy".
  Foundations of Computational Mathematics (FoCM), Budapest, July 2011.
  Download in PDF format (468 kB).

2010

• "The Evans function and the stability of travelling waves".
  PANDA (Patterns, Nonlinear Dynamics and Application), School of Mathematical Sciences, University of Nottingham, UK, September 2010.
  Download in gzipped PostScript (409 kB) or PDF format (360 kB).

• "The Evans function and the stability of travelling waves".
  Staff colloquia, Department of Mathematics, Universiteit Utrecht, Netherlands, May 2010.
  Download in gzipped PostScript (404 kB) or PDF format (356 kB).

• "Krylov methods for the computation of matrix functions".
  Computational mathematics and mathematical biology seminar, Heriot–Watt University, Edinburgh, UK, March 2010.
  Download in gzipped PostScript (108 kB), uncompressed PostScript (288 kB), or PDF format (156 kB).

2009

• "Computing the φ function of a matrix".
  SIAM Conference on Applied Linear Algebra, Monterey Bay, USA, October 2009.
  Download in gzipped PostScript (104 kB), uncompressed PostScript (288 kB), or PDF format (140 kB).

• "Exponential integration of large systems of ODEs".
  Center for Computational Mathematics (CCoM) Seminars, UC San Diego, USA, October 2009.
  Download in PDF format (1.6 MB).
• "Exponential integration of large systems of ODEs".
  23rd Biennial Conference on Numerical Analysis, Glasgow, UK, June 2009.
  Download in PDF format (152 kB).
• "Exponential integrators using Krylov iteration".
  SciCADE 09, Beijing, China, May 2009.
  Download in gzipped PostScript (109 kB), uncompressed PostScript (284 kB), or PDF format (156 kB).
• "Computing the φ function of a matrix".
  Manifolds and Geometric Integration Colloquia (MaGIC), Hornsø, Norway, March 2009.
  This talk was almost identical to the talk at SciCADE, listed above.
• "Stability computations for two-dimensional fronts using the Evans function".
  Leeds applied nonlinear dynamics seminar, University of Leeds, UK, February 2009.
  Download in gzipped PostScript (408 kB) or PDF format (216 kB).
  

2008

• "Computing the φ function of a matrix".
  Numerical analysis and scientific computing seminar, University of Manchester, UK, December 2008.
  Download in gzipped PostScript (104 kB), uncompressed PostScript (288 kB), or PDF format (140 kB).
  
• "Stability computations for two-dimensional fronts using the Evans function".
  SIAM Conference on Nonlinear Waves and Coherent Structures, Rome, Italy, July 2008.
  Download in gzipped PostScript (416 kB), uncompressed PostScript (6.4 MB), or PDF format (212 kB).
  
• "Exponential integrators using Krylov iteration".
  Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing, China, May 2008.
  Download in PDF format (1.6 MB).
• "Exponential integrators for semi-discretized PDEs".
  Computational mathematics and mathematical biology seminar, Heriot–Watt University, Edinburgh, UK, May 2008.
  Download in PDF format (1.6 MB).
• "Exponential integrators for semi-discretized PDEs".
  Numerical analysis seminar, University of Bath, UK, March 2008.
  This talk was almost identical to the one at Heriot–Watt, listed above.
• "Exponential integrators using Krylov iteration".
  Manifolds and Geometric Integration Colloquia (MaGIC), Renon, Italy, February 2008.
  Download in gzipped PostScript (80 kB), uncompressed PostScript (200 kB), or PDF format (104 kB).
• "Solving partial differential equations with exponential integrators".
  Applied mathematics seminar, University of Leeds, UK, January 2008.
  Download in PDF format (1.6 MB).
  

2007

• "Geometric integration methods for the computation of the Evans function".
  SciCADE 07, Saint Malo, France, July 2007.
  Download in gzipped PostScript (70 kB), uncompressed PostScript (191 kB), or PDF format (97 kB).
  
• "Stability computations for travelling waves using the Evans function".
  Theoretical Mechanics Seminar, University of Nottingham, UK, June 2007.
  Download in gzipped PostScript (104 kB), uncompressed PostScript (292 kB), or PDF format (144 kB).
  
• "Evans function calculations for a two-dimensional system".
  SIAM Conference on Applications of Dynamical Systems, Snowbird, UT, USA, May 2007.
  Download in gzipped PostScript (228 kB), or PDF format (160 kB).
  

2006

• "On the convergence of the Magnus series".
  Castellón Conference on Geometric Integration, Spain, September 2006.
  Download in gzipped PostScript (72 kB), uncompressed PostScript (184 kB), or PDF format (104 kB).
  
• "Geometric integration methods for the computation of the Evans function".
  Innovative Integrators for Differential and Delay Equations, Innsbruck, Austria, September 2006.
  Download in gzipped PostScript (72 kB), uncompressed PostScript (180 kB), or PDF format (100 kB).
  
• "On the convergence of the Magnus series".
  Numerical Solution of Differential and Differential-Algebraic Equations (NUMDIFF), Halle, Germany, September 2006.
  This talk was identical to the one in Castellón, referred to above.
• "Stability computations for travelling waves using the Evans function".
  13th Biennial Computational Techniques and Applications Conference (CTAC), Townsville, Australia, July 2006.
  Download in gzipped PostScript (57 kB). uncompressed PostScript (153 kB), or PDF format (76 kB).
  
• "Stability of travelling waves using the Evans function".
  Industrial and Applied Mathematics Seminar, Heriot–Watt University, Edinburgh, UK, February 2006.
  Download in gzipped PostScript (100 kB). uncompressed PostScript (292 kB), or PDF format (176 kB).
  

2005

• "Stability computations for travelling waves using the Evans function".
  21st Biennial Conference on Numerical Analysis, Dundee, UK, June 2005.
  Download in gzipped PostScript (68 kB). uncompressed PostScript (168 kB), or PDF format (84 kB).
  
• "Order reduction in stability computations using the Magnus method".
  SciCADE 05, Nagoya, Japan, May 2005.
  Download in gzipped PostScript (88 kB). uncompressed PostScript (240 kB), or PDF format (212 kB).
  
• "The Evans function review, Part II: Numerical computations".
  Applied Analysis seminar, University of Strathclyde, Glasgow, UK, April 2005.
  Download in gzipped PostScript (224 kB). uncompressed PostScript (5.1 MB), or PDF format (225 kB).
  Part I was given by Simon Malham: download slides of Part I in PDF format (460 kB).
• "On the stability of the Magnus method".
  Manifolds and Geometric Integration Colloquia (MaGIC), Ustaoset, Norway, February 2005.
  Download in gzipped PostScript (75 kB), uncompressed PostScript (230 kB), or PDF format (165 kB).
• "The stability of travelling wave solutions of the Gray-Scott equation".
  Mathematics Colloquium, Heriot-Watt University, UK, January 2005.
  Download in PDF format (1.7 MB).

2004

• "Computing the Evans function using the Magnus expansion".
  Manifolds and Geometric Integration Colloquia (MaGIC), Røros, Norway, March 2004.
  Download in gzipped PostScript (561 kB), uncompressed PostScript (2.7 MB), or PDF format (470 kB).
• "Stability analysis of travelling wave solutions using the Evans function".
  e-Science / Numerical Analysis Seminar, University of Durham, UK, February 2004.
  Download in gzipped PostScript (540 kB), uncompressed PostScript (2.5 MB), or PDF format (405 kB).

2003

• "How to choose the step size when integrating an ODE".
  20th Biennial Conference on Numerical Analysis, Dundee, UK, June 2003.
  Download in gzipped PostScript (88 kB), uncompressed PostScript (688 kB), or PDF format (117 kB).
• "Optimizing the step size subject to a bound on the global error".
  Manifolds and Geometric Integration Colloquia (MaGIC), Rondablikk, Norway, February 2003.
  Download in TeX, gzipped PostScript (87 kB), or uncompressed PostScript format (782 kB).

2002

• "Optimizing the step size of numerical integrators".
  Foundations of Computational Mathematics (FoCM), Minneapolis, USA, August 2002.
  Download in TeX, gzipped PostScript format (88 kB), or uncompressed PostScript format (651 kB).
• "Optimizing the step size of numerical integrators".
  X-th Summer School in Numerical Analysis, Durham, UK, July 2002.
  This talk was almost identical to the one in Minnesota, referred to above.
• "Optimal step size functions for numerical integrators".
  University of Tübingen, Germany, April 2002.
  Download slides in GIF format: [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] (±100 kB each).
• "On the global error committed by numerical integrators on nonautonomous oscillators".
  Manifolds and Geometric Integration Colloquia (MaGIC), Ustaoset, Norway, February 2002.
  Download in TeX, gzipped PostScript (314 kB), or uncompressed PostScript format (1.7 MB).

2001

• "A priori estimates for the global error of ODE solvers".
  19th Biennial Conference on Numerical Analysis, Dundee, UK, June 2001.
  Download in TeX, gzipped PostScript (127 kB), or uncompressed PostScript format (944 kB).
• "On the global error committed by numerical integrators".
  Numerical Analysis Seminar, University of Cambridge, UK, February 2001.
  Download in TeX, gzipped PostScript (109 kB), or PostScript format (851 kB).