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Parallel multischeme computation

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Abstract

Numerical experiments on multischeme computation to solve ordinary differential equation initial-value problems have been performed on a multiprocessor computer. A computation network of the schemes schedules the multischeme computation in parallel.

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References

  • Aho, A. V., Hopcroft, J. E., and Ullman, J. D. (1985).Data Structure and Algorithms, Addison-Wesley series in Computer Science and Information Processing, Addison-Wesley, Reading, Massachusetts.

    Google Scholar 

  • Ames, W. F. (1979).Numerical Method for Partial Differential Equations, Academic Press, New York.

    Google Scholar 

  • Argonne National Laboratory (1986). Using the Alliant FX/8, ANL/MCS-TM-69.

  • Chiang, Y. L. (1986). Use of Mathematical Switch to Solve Differential Equation Problems, ACM SIGNUM Newsletter, October, pp. 20–33.

  • Conte, S. D., and De Boor, C. (1972).Elementary Numerical Analysis. An Algorithmic Approach, McGraw-Hill, New York, 1972.

    Google Scholar 

  • Courant, R., and Hilbert, D. (1953).Methods of Mathematical Physics, Interscience Publishers, New York.

    Google Scholar 

  • Hamming, R. W. (1962).Numerical Methods for Scientists and Engineers, McGraw-Hill, New York.

    Google Scholar 

  • Hull, T. E., Enright, W. H., Fellen, B. M., and Sedgwick, (1972). Comparing numerical methods for ordinary differential equations,SIAM J. Num. Aug. 9(4), 603–637.

    Google Scholar 

  • Morris, J. L. I. (1983).Computational Method in Elementary Numerical Analysis, Wiley Interscience, New York.

    Google Scholar 

  • Petzoid, L. (1983). Automatic selection of methods for solving stiff and nonstiff systems of ordinary differential equations,SIAM J. Sci. Stat. Comp. 4(1), 136–148.

    Google Scholar 

  • Richtmyer, R. D., and Morton, K. W. (1969).Difference Methods for Initial Value Problems, Interscience Publishers, New York.

    Google Scholar 

  • Roache, P. J. (1977).Computational Fluid Dynamics, Hermosa Publishers.

  • Vichnevetsky, R. (1981).Computer Methods for Partial Differential Equations, Prentice-Hall, Englewood Cliffs, New Jersey.

    Google Scholar 

  • Wouk, A. (1986).New Computing Environments: Parallel, Vector and Systolic, SIAM.

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Chiang, Y.l.F., Ma, J.S., Hu, K.L. et al. Parallel multischeme computation. J Sci Comput 3, 289–306 (1988). https://doi.org/10.1007/BF01061288

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