NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
The 56th Japan National Congress for Theoretical and Applied Mechanics
Session ID : 3G08
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OS3-1
Design and implementation of FORTRAN interface for multiple-precision arithmetic and large scale computation of inverse problems
*Hiroshi Fujiwara
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Abstract
In the current research we discuss a design and implementation of FORTRAN interface of a fast multiple-precision arithmetic environment for realization of high-accurate and large scale numerical computations of inverse problems. Numerical treatment of inverse problems are important in application to concrete problems in geophysics and engineering. Because inverse problems are ill-posed in the sense of Hadamard in most cases, numerical instability and rapid growth of rounding errors are fatal in their numerical computations. To overcome the difficulty the use of multiple-precision arithmetics has been proposed. We propose the application of multiple-precision arithmetic environment to large scale computation of inverse problems.
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© 2007 Japan Society of Mechanical Engineers
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