Titlebook: Mathematical Modeling and Numerical Simulation in Continuum Mechanics; Proceedings of the I Ivo Babu?ka,Philippe G. Ciarlet,Tetsuhiko Miyos

即席演說

Subgrid Phenomena and Numerical Schemes,In recent times, several attempts have been made to recover some information from the subgrid scales and transfer them to the computational scales. Many stabilizing techniques can also be considered as part of this effort. We discuss here a framework in which some of these attempts can be set and analyzed.

DAMP

Numerical Computations for Ill-conditioned Problems by Multiple-Precision Systems,We propose a use of some multiple-precision systems for numerical analysis of ill-conditioned problems, and we show efficiency of the systems through numerical examples. We also introduce the F-system which is a fast multiple-precision system designed by one of the authors.

Conscientious

流動性

返老還童

魯莽

欄桿

A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis,characteristic of an artery is caused by the presence of a vascular prosthesis (e.g. a stent). The derivation of the model and the numerical scheme adopted for its solution are detailed. Numerical experiments show the effectiveness of the model for the problem at hand.

Encephalitis

Can We Trust the Computational Analysis of Engineering Problems?,goals. These goals must be clearly specified. They are usually to get good qualitative or quantitative information about reality. The admissible quality of required information should be characterized.

重疊

Pattern Formation of Heat Convection Problems,richlet boundary condition for the temperature. We examine the pattern formation of the roll type solution, the rectangular type solution and the hexagonal type solution and see the stability of them and a better bifurcation diagram for the full system by using numerical computations.

使成整體

,Mathematical Modeling and Numerical Simulation of Earth’s Mantle Convection,rature and the phenomenon occurs in a spherical shell domain. Focusing our attention on these two factors, we describe a total approach of numerical simulation of the Earth’s mantle convection, i.e., mathematical modeling, mathematical analysis, computational scheme, error analysis, and numerical result.