Workshop on Numerical Analysis of Flow Problems and Validated Computations



Schedule


November 20 (Sunday)
13:00-13:05Opening Ceremony, Greetings
Masahisa Tabata

Invited Plenary Talks ( Chairperson: Mitsuhiro T. Nakao )
13:05-13:50Götz Alefeld (Universität Karlsruhe)
Complementarity problems: An overview on existing verification procedures
13:50-14:35Sangdong Kim (Kyungpook National University)
A collocation least-squares approximation for second-order elliptic partial differential equations
Coffee Break

Session 1 ( Chairperson: Youngmok Jeon )
14:50-15:15 Tatsuyuki Nakaki (Hiroshima University)
Numerical and mathematical analysis to motion of some five point vortices
15:15-15:40 Hirofumi Notsu, Masahisa Tabata (Kyushu University)
A second order characteristic finite element scheme for the Navier-Stokes equations
15:40-16:05 Sunao Murashige (The University of Tokyo)
A practical method of numerical calculation of the mapping degree and its application
Break

Session 2 ( Chairperson: Shin'ichi Oishi )
16:15-16:40 Nobito Yamamoto (The University of Electro-Communications)
Validated computation of Bessel functions using multiple-precision arithmetic
16:40-17:05 Myoungnyoun Kim, Mitsuhiro T. Nakao (Kyushu University)
On verified 3D bifurcating solutions of heat convection problem
17:05-17:30 Masato Kimura (Kyushu University)
A quantitative study on adaptive FEM for several pattern formations

18:00-20:00 Banquet in Nagasaki Washington Hotel



November 21 (Monday)

Invited Plenary Talks ( Chairperson: Götz Alefeld )
9:00-9:45Hyung-Chun Lee (Ajou University)
Linear feedback control problems for the Boussinesq equations
9:45-10:30Shin'ichi Oishi (Waseda University)
Numerical verification for solutions of finite dimensional sparse linear equations using iterative methods
Coffee Break

Session 3 ( Chairperson: Takashi Kako )
10:45-11:10 Fumio Kikuchi (The University of Tokyo)
Estimation of error constants for P_0 and P_1 triangular finite elements
11:10-11:35 Atsushi Suzuki (Kyushu University)
A domain decomposition solver for a Stokes problem with slip boundary conditions
Lunch (attendees will be on their own)

13:00-16:15Sightseeing of Nagasaki City (optional)

18:00-20:30Dinner at a restaurant with regional cuisine (optional)


November 22 (Tuesday)

Invited Plenary Talks ( Chairperson: Sangdong Kim )
9:00-9:45Youngmok Jeon (Ajou University)
Nonconforming cell boundary element methods on triangular mesh
9:45-10:30Takashi Kako (The University of Electro-Communications)
Numerical method for wave propagation phenomena and shape design problem
Coffee Break

Session 4 ( Chairperson: Hyung-Chun Lee )
10:45-11:10 Teruya Minamoto (Saga University)
Numerical verifications of solutions for the perturbed Gelfand equation in rectangular domains
11:10-11:35 Xiaojun Chen (Hirosaki University)
Numerical solution of nonsmooth constrained optimal control problems
11:35-12:00 Takuya Tsuchiya (Ehime University)
Hadamard's variations and their applications
Lunch (attendees will be on their own)

Session 5 ( Chairperson: Masahisa Tabata )
13:30-13:55 Yoshitaka Watanabe (Kyushu University)
A computer assisted proof of a symmetry-breaking bifurcation point for the Rayleigh-Bénard problem
13:55-14:20 Tadashi Kawanago (Tokyo Institute of Technology)
Numerical verification for Hopf and pitchfork bifurcation points by a unified bifurcation theorem
14:20-14:45 Hitoshi Imai (The University of Tokushima)
Parallel computing in multiple precision for numerical verification of various simultaneous linear equations
14:45-15:10 Kaori Nagatou (Kyushu University)
Enclosing and excluding methods for eigenvalues in essential spectrum gaps
15:10-15:15 Closing
Mitsuhiro T. Nakao
Last updated: Nov. 16, 2005.