Department of Mathematics
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Department of Mathematics
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Institute for Applied and Numerical Mathematics
Research Group 1: Numerical Analysis
Dr. Marco Schnurr (ausgeschieden)

Dr. Marco Schnurr (ausgeschieden)

Publications

  • M. Schnurr: A Second-Order Pruning Step for Verified Global Optimization; Journal of Global Optimization, Vol. 44, No. 3 (2009), pp. 349-374.
  • M. Schnurr and D. Ratz: Slope enclosures for functions given by two or more branches; BIT Numerical Mathematics, Vol. 48, No. 4 (2008), pp. 783-797.
  • M. Schnurr: Computing Slope Enclosures by Exploiting a Unique Point of Inflection; Applied Mathematics and Computation 204 (2008), pp. 246-256.
  • M. Schnurr: The Automatic Computation of Second-Order Slope Tuples for Some Nonsmooth Functions; ETNA - Electronic Transactions on Numerical Analysis 30 (2008), pp. 203-223.
  • M. Schnurr: Some Supplements Concerning Automatic Slope Enclosures; PAMM, Proc. Appl. Math. Mech., Vol. 6, No. 1 (2006), pp. 691-692. GAMM Annual Meeting 2006, Berlin.
  • U. Schäfer and M. Schnurr: A comparison of simple tests for accuracy of approximate solutions to nonlinear systems with uncertain data; Journal of Industrial and Management Optimization, Vol. 2, No. 4 (2006), pp. 425-434.
  • U. Schäfer and M. Schnurr: A comparison of some existence tests; PAMM, Proc. Appl. Math. Mech., Vol. 5, No. 1 (2005), pp. 715-716. GAMM Annual Meeting 2005, Luxembourg.
  • M. Schnurr: On the Proofs of Some Statements Concerning the Theorems of Kantorovich, Moore, and Miranda; Reliable Computing 11, 77-85 (2005).
  • A. Frommer, B. Lang and M. Schnurr: A Comparison of the Moore and Miranda Existence Tests; Computing 72, Springer-Verlag Wien, 349-354 (2004).

Preprints

  • M. Schnurr: A Second-Order Pruning Step for Verified Global Optimization; Preprint Nr. 07/10, IWRMM, Universität Karlsruhe, 2007.
  • M. Schnurr: The Automatic Computation of Second-Order Slope Tuples for Some Nonsmooth Functions; Preprint Nr. 07/09, IWRMM, Universität Karlsruhe, 2007.
  • M. Schnurr: Computing Slope Enclosures by Exploiting a Unique Point of Inflection; Preprint Nr. 07/08, IWRMM, Universität Karlsruhe, 2007.
  • M. Schnurr: Eine Bemerkung zur automatischen Steigungsberechnung; Preprint Nr. 8, Fakultät für Mathematik, Universität Karlsruhe, 2005.
  • U. Schäfer and M. Schnurr: A comparison of simple tests for accuracy of approximate solutions to nonlinear systems with uncertain data; Preprint Nr. 22, Faculty of Mathematics, University of Karlsruhe, 2004.