| Taylor Model Mini Workshop - Miami Beach, December 17 – 20, 2003 | ||||
| Meeting Schedule | (The meeting room: Imperial IV.) | |||
| Date | Morning (9:00 - noon) | Evening (5:00 - 9:00) | ||
| 12/15 (Monday) | Inofficial Work Groups | |||
| (ODEs: Nedialkov, Zgliczynski, Berz, Makino, Grote, …) | ||||
| 12/16 (Tuesday) | Inofficial Work Groups | |||
| (ODEs: Nedialkov, Zgliczynski, | (Global Optimization: Kearfott, | |||
| Arioli, Tucker, Berz, Makino, Grote, …) | Nataraj, Berz, Makino, Kim, …) | |||
| 12/17 (Wednesday) | Opening | Taylor models | ||
| ODEs, PDEs | ODEs | |||
| Excursion arrangement | ||||
| 12/18 (Thursday) | ODEs | DAEs | ||
| Group Photo | ||||
| 12/19 (Friday) | Excursion | |||
| 12/20 (Saturday) | Bounding and Global Optimization | Bounding and Global Optimization | ||
| Closing | ||||
| Talks | ||||
| 12/16 (Tuesday) | ||||
| Kearfott | GlobSol tutorial | |||
| 12/17 (Wednesday) | ||||
| Moore | Remarks on the development and applications of interval Taylor methods | |||
| Zgliczynski | Rigorous integrator for dissipative PDEs | |||
| Arioli | Computer assisted proofs for the Fermi-Pasta-Ulam model | |||
| Rigorous bounds on the restricted 3-body problem | ||||
| Berz/Makino | Introduction to Taylor models and recent developments | |||
| Validated ODE integration with Taylor models (See talk file above.) | ||||
| 12/18 (Thursday) | ||||
| Nedialkov | An Interval Method for Linear IVPs for ODEs | |||
| Neher | On Taylor model methods for solving linear ODEs with constant coefficients | |||
| Berz/Makino | Validated ODE integration with Taylor models - Linear ODEs | |||
| Pryce | Computing Taylor series and associated Jacobians for DAEs (Part I) | |||
| Nedialkov | Solving DAEs by Taylor Series (Part II) | |||
| 12/20 (Saturday) | ||||
| Kearfott | Introduction and Philosophy of Linear Relaxation | (ps) | ||
| Corliss | Applying Global Optimization in Structural Engineering | |||
| Kim/Grote | Developing a Taylor model based global optimizer for COSY Infinity | |||
| Nataraj | The Extrapolated Taylor Model | |||
| On Computaing Ranges of Polynomials - Some Improvements to the Bernstein Approach | ||||
| Berz/Makino | Taylor model bounding, LDB, QDB | |||
| Additional material: | ||||
| Some case studies for TM Integration and TM Optimization | ||||