International workshop on verified computations
and related topics

March 7-10, 2009
University of Karlsruhe (TH), Germany
Last modified: 6 February 2009
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Program         (updated as of 5 February 2009)
7 March (Saturday)
8:50-9:00 Opening
Linear Algebra 9:00-10:30 [Chair: Gerhard Heindl]
9:00-9:45 Goetz Alefeld "Error Bounds for Complementarity Problems Using Feasible Vectors"
9:45-10:30 Andreas Frommer "Computing enclosures for the matrix square root"
10:30-11:00 Coffee Break
Linear Algebra 11:00-12:30 [Chair: Shin'ichi Oishi]
11:00-11:45 Guenter Mayer "The solution sets of some structured matrices"
11:45-12:30 Walter Kraemer "Solving Large Linear Interval System"

PDE Analysis 14:30-16:00 [Chair: Piotr Zgliczynski]
14:30-15:15 Filomena Pacella "Computer assisted proofs for semilinear elliptic equations"
15:15-16:00 P. Joseph McKenna "Some conjectures on semilinear elliptic equations: theorems, computations and verification"
16:00-16:30 Coffee Break
PDE Analysis 16:30-18:00 [Chair: Arnold Neumaier]
16:30-17:15 Yasuhide Fukumoto "Linear and weakly nonlinear stability of an elliptic flow from the viewpoint of Hamiltonian spectra"
17:15-18:00 Wolfgang Reichel "A-priori bounds for discretized nonlinear elliptic boundary value problems"
18:00- Welcome Party

8 March (Sunday)
PDE Eigenvalue 9:00-10:30 [Chair: P. Joseph McKenna]
9:00-9:45 B. Malcolm Brown "Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics"
9:45-10:30 Yoshitaka Watanabe "A computer-assisted stability proof for the Orr-Sommerfeld problem with Poiseuille flow"
10:30-11:00 Coffee Break
PDE Eigenvalue 11:00-12:30 [Chair: Filomena Pacella]
11:00-11:30 Michael Plum "Band-gaps for 3D Photonic Crystals: A Computer-Assisted Approach (Part I)"
11:30-12:00 Henning Behnke "Band-gaps for 3D Photonic Crystals: A Computer-Assisted Approach (Part II)"
12:00-12:30 Kaori Nagatou "Spectral Problem on 3-D Maxwell's Equations"

Interval Arithmetic 14:30-16:00 [Chair: Walter Kraemer]
14:30-15:15 Ulrich Kulisch "Practical Interval Arithmetic"
15:15-16:00 Gerhard Heindl "On Verification Problems in Digital Filter Design"
16:00-16:30 Coffee Break
Interval Arithmetic 16:30-18:00 [Chair: Guenter Mayer]
16:30-17:15 Siegfried M. Rump "Error-Free Transformations and ill-conditioned problems"
17:15-18:00 Shin'ichi Oishi "Some Applications of Verified Numerical Computations and Error Free Transformations"

9 March (Monday)
PDE Verification [Chair: Nobito Yamamoto]
9:00-9:45 Vu Hoang "Enclosures for Single-Shock Solutions of Burgers' Equation"
9:45-10:30 Mitsuhiro T. Nakao "On the numerical verification method of solutions for evolutional equations"
10:30-11:00 Coffee Break
PDE Verification 11:00-11:45 [Chair: Gianni Arioli]
11:00-11:45 Piotr Zgliczynski "Rigorous numerics for dissipative PDEs"
11:45-12:30 Arnold Neumaier "Towards optimization-based error bounds for PDEs"

Algebra 14:30-15:15 [Chair: Siegfried M. Rump]
14:30-15:15 Masanobu Kaneko "On the "values" of the elliptic modular j-function at real quadratics"
15:15-16:00 Frank Herrlich "Origamis and Dessins d'Enfants"
16:00-16:30 Coffee Break
Algebra 16:30-17:15 [Chair: Andreas Frommer]
16:30-17:15 Gabriela Schmithuesen "A side trip of origamis into Outer Space"
17:15-18:00 Masato Wakayama "Arithmetics on Non-commutative harmonic oscillators"
19:00- Banquet

10 March (Tuesday)
ODE, Dynamical system etc. 9:00-10:30 [Chair: Henning Behnke]
9:00-9:45 Markus Neher "Taylor model methods for the verified integration of ODEs"
9:45-10:30 Nobito Yamamoto "Verified Computatuion of Closed Orbits of Dynamical Systems"
10:30-11:00 Coffee Break
ODE, Dynamical system etc. 11:00-13:15 [Chair: B. Malcolm Brown]
11:00-11:45 Setsuo Taniguchi "Eigenvalues in stochastic oscillatory integrals"
11:45-12:30 Andreas Rauh "Applications of Verified DAE Solvers in Engineering"
12:30-13:15 Gianni Arioli "A functional analytic approach to computer assisted proofs"
13:15-13:25 Closing