German-Japanese Workshop on
Theory and Practice of Real Computation

Sunday, July 12, 2015

Shikonkan building, Surugadai Campus, Meiji University, Tokyo

Computability Theory, the study of inherent limitations of dicrete algorithmic processes, has been applied to a wide range of problems involving real numbers and other continuous data types. This field, called Recursive Analysis, has been refined to the level of limited resources (such as polynomial time) and has gained increased interest recently.

Also from the practical side of numerical analysis, there is a long history of research on techniques based on interval arithmetic for obtaining guaranteed error bounds. This approach has proved successful in many applications, both for providing reliable and yet fast methods for practical computational needs as well as for numerically answering mathematical questions that defy theoretical analysis.

The aim of the workshop is to bring the two communities together and provide a forum where researchers from both fields look for new connections between computational comlexity and validated numerical algorithms. The talks will feature both introduction to the basic ideas and recent research directions.

Announcement on the DWIH website

This workshop is associated with the Twelfth International Conference on Computability and Complexity in Analysis (CCA 2015), which will be held on July 12–15 at the same venue.


09:10 Registration opens
09:35 Opening
09:50 Akitoshi Kawamura Computational Complexity of Real Functions
11:00 Martin Ziegler Algorithm Engineering in Reliable Numerics
11:40 Peter Hertling On the Complexity of the Feigenbaum Constant
12:20 Lunch break
13:45 Shin'ichi Oishi Constructive Reals and Error Free Transformations
14:25 Siegfried M. Rump Principles of Computer-Assisted Proofs Using Floating-Point
15:35 Takeshi Ogita Iterative Refinement for Symmetric Eigenvalue Problems
16:15 Zin Arai Rigorous Verification of the Crossed Mapping Condition for Holomorphic Dynamical Systems
15:35 Katrin Tent Low functions of reals


German Research and Innovation Forum Tokyo JSPS Kakenhi


Local Information

See the local information page for CCA 2015.