Simulation technology – the role of concepts and algorithms. (English) Zbl 1049.68150
The authors give two examples of a general algorithmic framework – octrees as an efficient interface of geometric modelling and numerical simulation, and sparse grids as an a priori optimised grid setting for tasks such as numerical quadrature or numerical solution of PDEs. Both are based upon a hierarchical approach, which turns out to be an advantageous strategy for a large variety of problems.
Reviewer: V. Grebenev (Novosibirsk)
MSC:
68U20 | Simulation (MSC2010) |
68T20 | Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) |
68W01 | General topics in the theory of algorithms |
65D17 | Computer-aided design (modeling of curves and surfaces) |
65Y20 | Complexity and performance of numerical algorithms |
68U07 | Computer science aspects of computer-aided design |
97D30 | Objectives and goals of mathematics teaching |