|
||
DI Martin Riedler I am a PhD student at the Department of Mathematics Heriot-Watt University Riccarton, Edinburgh EH14 4AS United Kingdom |
||
| Colin Maclaurin Building Room CM.G 11 Tel.: +44 (0)131 451 4731 mgr2(at)hw(.)ac(.)uk  |
||
I am currently member of the executive committee of the Edinburgh SIAM Student Chapter. | ||
I am member of the research group of Dr Evelyn Buckwar  my supervisor former members of the group: Dr Thorsten Sickenberger research assistant my co-supervisor: Prof Gabriel Lord
|
|
Research interests |
|
| • | Mathematical neuroscience; particularly I am interested in single neuron models and the influence of noise on these dynamical systems |
| • | Numerics for stochastic differential equations; especially stochastic strong Runge-Kutta methods in connection with stability issues |
|
Links |
|
| EMS, Maxwell Inst, Newton Inst, OEMG, SMB | |
|
Brief CV |
|
|
Jun 2001 Matura (≈ A-levels) at BG Dr Schauerstrasse, 4600 Wels, Austria Sep 2002 - Jun 2008 Studies of Technical Mathematics at the Vienna University of Technology Oct 2006 - Jul 2007 Exchange studies at TU Berlin Jun 2008 Academic degree of Diplom-Ingenieur (≈ MSc.) in Technical Mathematics awarded Sep 2008 start of my PhD project at Heriot-Watt University |
|
a full CV is available here. |
|
|
Theses |
|
| • | Spatio-temporal Stochastic Hybrid Models of Biological Excitable Membranes [pdf] PhD thesis, Heriot-Watt University, Edinburgh, 300 p. written under supervision of Dr. Evelyn Buckwar defended on Sep 16th 2011 (unpublished) |
| • | Numerical methods for the approximation of strong solutions of stochastic differential equations of jump type [pdf] Diploma thesis (≈ Msc. thesis), Vienna University of Technology, 129 p. written under supervision of A.o. Univ. Prof. Dr. Ewa Weinmüller submitted and reviewed Jun 2008 (unpublished) |
|
Publications |
|
| • | Evelyn Buckwar, Peter Kloeden, Martin Riedler The numerical stability of stochastic differential equations with additive noise. Stochastics & Dynamics Vol. 11 (2-3) 2011 [pdf] |
| • | Evelyn Buckwar, Martin Riedler An exact model of excitable membranes by Piecewise Deterministic Processes including spatio-temporal evolution. J. Math. Bio. [pdf] [preprint] |
| • | Evelyn Buckwar, Martin Riedler Runge-Kutta methods for jump-diffusion differential equations. J. Comp. Appl. Math. [pdf] [preprint] |
|
Preprints |
|
| • | Martin Riedler Almost sure convergence of numerical approximations for Piecewise Deterministic Markov Processes. Heriot-Watt Mathematics Report HWM10-34, 33 pages, 2010. |
|
Meetings & Seminar |
|
| • | Mini-Workshop: Dynamics of Stochastic Systems and their Approximation
Aug 21 - Aug 28 2011, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany |
| • | Equadiff 2011
Aug 1 - Aug 5 2011, Loughborough University, Loughborough, UK I give a talk in the minisymposium on Mathematical Neuroscience
|
| • | 24th Biennial Conference on Numerical Analysis
Jun 28 - Jul 1 2011, University of Strathclyde, Glasgow, UK |
| • | Mathematical Neuroscience 2011 Apr 11 - Apr 13 2011, ICMS, Edinburgh, UK |
| • | Seminar Talk, ''Theoretical Mechanics Seminar''
Mar 2 2011, University of Nottingham, Nottingham, UK |
| • | Seminar Talk, TOSCA Project Seminary
Feb 9 2011, INRIA Sophia-Antipolis, Sophia Antipolis, France |
| • | Edinburgh SIAM Student Chapter Conf. 2011
Feb 1 2011, ICMS, Edinburgh, UK |
| • | Seminar Talk Nov 11 2010, Humboldt Universität Berlin, Berlin, Germany I gave a talk on "Topics in Piecewise Deterministic Markov Processes with Applications to Neuron Models" |
| • | Seminar Talk, seminar series ''Maths and Neuroscience''
Oct 18 2010, Institut Henri Poincaré, Paris, France I gave a talk on "Neuron models using Piecewise Deterministic Markov Processes: analytical and numerical aspects" |
| • | OCCAM Computational Neuroscience Workshop Sep 13 - Sep 15 2010, Oxford Centre for Collaborative Applied Mathematics, Oxford, UK I presented a poster on "A Law of Large Numbers in Stochastic Mean Field Theory" |
| • | 19th Annual Meeting of Scottish Computational Mathematics Symposium (SCMS) Sep 6 2010, Heriot-Watt University, Edinburgh, UK |
| • | Workshop on Stochastic Partial Differential Equations: Approximation, Asymptotics and Computation Jun 28 - Jul 2 2010, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK I presented a poster on "Diffusion Approximation of Hilbert space-valued jumping Markov processes" |
| • | Seminar Talk May 5 2010, Technische Universität Kaiserslautern, Kaiserslautern, Germany |
| • | Mathematical Neuroscience 2010 Apr 16 - Apr 21 2010, ICMS, Edinburgh, UK |
| • | British Applied Mathematics Colloquium Apr 6 - Apr 9 2010, Maxwell Institute for Mathematical Sciences, Edinburgh, UK |
| • | Seminar Talk, groupe de travail
'Biologie, Probabilités et Statistiques' Mar 5 2010, Laboratoire de Probabilités et Modèles Aléatoires des Universités Pierre et Marie Curie et Denis Diderot, Paris, France talk on "Infinite-dimensional Hybrid Stochastic Processes with application to spatio-temporal modelling of excitable membranes" |
| • | Differential Equations Seminar Feb 11 2010, Goethe Universität Frankfurt, Frankfurt a. M., Germany talk on "A stochastic model for voltage potential transport in passive neuronal membranes" |
| • | Stochastic Models in Neuroscience Jan 18 - Jan 22 2010, CIRM, Marseille, France talk on "Modeling neuronal membranes with Piecewise Deterministic Processes" |
| • | Workshop on Stochastic Partial Differential Equations Jan 4 - Jan 8 2010, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK |
| • | 33rd Conference on Stochastic Processes and Their Applications Jul 27 - Jul 31 2009, Technische Universität Berlin, Berlin, Germany slides of my talk, "Approximation of Hybrid Models of Excitable Membranes by Diffusion Processes" [pdf], contributed to this conference |
| • | Summer School on Computational Neuroscience Jun 7 - Jun 20 2009, University of Ottawa, Ottawa, Canada |
| • | EMS Postgraduate's Student Meeting Jun 3 - Jun 4 2009, The Burn, Edzell, UK |
| • | Workshop on Numerical Analysis of Stochastic PDEs May 11 - May 12 2009, ICMS, Edinburgh, UK |
| • | Noise in Life 2009 Mar 30 - Apr 1 2009, Møller Center, Cambridge, UK my poster contribution to this conference on "Diffusion approximation to Markov kinetic schemes of voltage gated ion channels" [pdf] |
| • | Mathematical Neuroscience 2009 Mar 23 - Mar 25 2009, ICMS, Edinburgh, UK |
| • | Workshop on Computational Developmental Neuroscience 2008 Nov 26 - Nov 27 2008, Informatics Forum UoE, Edinburgh, UK |
| • | Molecular Dynamics, Thermostats and Convergence to Equilibrium Nov 12 - Nov 14 2008, ICMS, Edinburgh, UK |
| • | SPDEs: Computations and Applications Sep 29 - Oct 01 2008, ICMS, Edinburgh, UK my poster contribution to this workshop on "Stochastic A- and L-stability for Stochastic Runge-Kutta Maruyama methods" [pdf] |
| • | 17th Annual Meeting of Scottish Computational Mathematics Symposium (SCMS) Sep 10 2008, Heriot-Watt University, Edinburgh, UK |
| • | Workshop on Stability and Discretization Issues in Differential Equations (SDIDE 08) Sep 17 - Sep 20 2008, Vienna University of Technology, Vienna, Austria slides of my talk, "Stochastic A- and L-stability for a class of implicit Stochastic Runge-Kutta Maruyama methods" [pdf], contributed to this workshop |
| • | International Conference on Scientific Computing and Differential Equations (SCICADE 07) Jul 9 - Jul 13 2007, Le Palais du Grand Large, Saint-Malo, France |