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General Information
Editor-in-chief
Prof. T. Hikmet Karakoc
Anadolu University, Faculty of Aeronautics and Astronautics, Turkey

IJET 2014 Vol.6(2): 104-108 ISSN: 1793-8236
DOI: 10.7763/IJET.2014.V6.675

An Adaptive Time-Stepping Scheme with Local Convergence Verification Using Support Vector Machines

Kenji Kawaguchi, Jun Ishikawa, and Yu Maruyama
Abstract—An adaptive time-stepping scheme in accordance with the local convergence of computation often involves computationally expensive procedures. As a result, many computer simulators have avoided utilizing such an adaptive scheme, while its advantages are well recognized; the scheme not only efficiently allocates computational resources, but also makes the results of the computation more reliable. In this paper, we propose a fast adaptive time-stepping scheme, ATLAS (Adaptive Time-step Learning and Adjusting Scheme), which approximates such an expensive yet beneficial scheme by using support vector machines (SVMs). We demonstrate that ATLAS performs quite favorably when compared with computations without it. ATLAS can incorporate existing solvers and other fast but unreliable adaptive schemes to meet the different criteria required in various applications.

Index Terms—Adaptive time step control, machine learning, ordinary differential equations, severe accident analysis.

K. Kawaguchi, J. Ishikawa, and Y. Maruyama are with the Severe Accident Analysis Research Group, the Nuclear Risk Analysis Research Unit, Japan Atomic Energy Agency, 2-4 Shiragata-Shirane, Tokai-Mura, Ibaraki, Japan (e-mail: kawaguchi.kenji@jaea.go.jp).

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Cite:Kenji Kawaguchi, Jun Ishikawa, and Yu Maruyama, "An Adaptive Time-Stepping Scheme with Local Convergence Verification Using Support Vector Machines," International Journal of Engineering and Technology vol. 6, no. 2, pp. 104-108, 2014.

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