## Parallel processing for scientific computing |

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### Contents

The Parallel processing in the Fuzzy Control System Governed by Partial Differential | 1 |

PIRK Solver of ODEs by Parallel Algorithm | 7 |

Fast Fourier Transform Methods for Partial Differential Equations | 21 |

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### Common terms and phrases

11-diagonal system 19-diagonal 3DFK Aredon basic iterative method boundary conditions Compatible ordering Conjugate Gradient const Mx decomposition diagonal Directed graph Dirichlet boundary conditions Fast Fourier Cosine Fast Fourier Transform FFT Method SSL finite difference FORTRAN Fourier Sine Transform Fuzzy hfil cr cr Hn+1 Hn+i hyperplane method ICCG method ILU preconditioned ILUCGS ILUCR incompatible vertices Japan Keio Univ Keio University LAMAX-S Linear Equations linear system list vectors LU Decomposition main memory Maximal vector length mutual recurrences Neumann boundary conditions O/O elementary graph ordered ILU factorization ordering graph parallel computations parallel processing Partial Differential Equations PB(m PD(m PDE parameter PIRK Poisson's equation preconditioned iterative methods Processing for Scientific processors residual matrix Scientific Computing sequential computer Sets of Linear solving supercomputer Symposium on Large system arising system of linear Systems Planning/ISP Theorem Transform and Gauss triangular vector computer vertex