Publications

• Thesis
  • Licentiate thesis on Convergence Rates of Adaptive Algorithms for Deterministic and Stochastic Differential Equations, (December, 2001).
    Introduction [PS] [PDF], Paper I [PS] [PDF], Paper II [PS] [PDF].
  • Master thesis on Numerical Solutions of Non-separable Elliptic Equations, [PS], (1998).
• Journal publications
  • [Link]: A Variational Principle for Adaptive Approximation of Ordinary Differential Equations, K.-S. Moon, A. Szepessy, R. Tempone and G.E. Zouraris, to appear in Numer. Math. 2003.
  • [Link]: Convergence Rates for Adaptive Approximation of Ordinary Differential Equations, K.-S. Moon, A. Szepessy, R. Tempone and G.E. Zouraris, to appear in Numer. Math. 2003.
• Preprints
  • Convergence Rates for Adaptive Finite Element Method, K.-S. Moon, E. von Schwerin, A. Szepessy, and R. Tempone, 2002.
  • Convergence Rates for Adaptive Weak Approximation of Stochastic Differential Equations, K.-S. Moon, A. Szepessy, R. Tempone and G. Zouraris, 2001.
• Lecture Note
  • [PS]: Hyperbolic Differential Equations and Adaptive Numerics, K.-S. Moon, A. Szepessy, R. Tempone and G. Zouraris, in Theory and numerics of differential equations (Durham, 2000), 231--280, Universitext, Springer, Berlin, 2001.
  • [PS]: Stochastic and Partial Differential Equations with Adaptive Numerics, J. Goodman, K.-S. Moon, A. Szepessy, R. Tempone and G. Zouraris, 2002.

Conference Presentations

• ICIAM 2003: 5th International Congress on Industrial and Applied Mathematics, Sydney, Australia, July 7-11, 2003.
• IMI2003: Industrial MAthe matics Initiative 2003, KAIST, Daejeon, Korea, July 1-3, 2003.
• SDEs and SPDEs : Numerical Methods and Applications, Edinburgh, UK, 31 March - 4 April 2003.
• Newton Inst. MULTISCALE MODELLING, MULTIRESOLUTION AND ADAPTIVITY in Cambridge, UK, April 7 - 11, 2003.
• Third China-Sweden Workshop on Computational Mathematics in Göteborg, Sweden, June 10 - 12, 2002.
• First SIAM-EMS Conference APPLIED MATHEMATICS IN OUR CHANGING WORLD (Berlin), September 2001.
• Circus The 2001 Nordic Computational Differential Equations (Tampere), March 2001.
• Circus The 2000 Nordic Computational Differential Equations (Bergen), March 2000.

Contributed Conferences

• WCCM V Fifth World Congress on Computational Mechanics in Vienna, Austria, July 7 - 12, 2002.
• PSCI '00 Conference (Göteborg), September 2000.
• ETH Fast algorithms for integral operators (Zurich), August 2000.
• Anogia The EURO Conference on Numerical Methods for Evolution PDEs (Greece), June 2000.
• PSCI '99 Conference (Linköping), September 1999.
• FoCM'99 Foundations of Computational Mathematics (Oxford), July 1999.

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