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High-Precision Arithmetic in Mathematical Physics

Author

Listed:
  • David H. Bailey

    (Lawrence Berkeley National Laboratory (retired) and University of California, Davis, Davis, CA 95616, USA)

  • Jonathan M. Borwein

    (CARMA, University of Newcastle, Callaghan, NSW 2308, Australia)

Abstract

For many scientific calculations, particularly those involving empirical data, IEEE 32-bit floating-point arithmetic produces results of sufficient accuracy, while for other applications IEEE 64-bit floating-point is more appropriate. But for some very demanding applications, even higher levels of precision are often required. This article discusses the challenge of high-precision computation, in the context of mathematical physics, and highlights what facilities are required to support future computation, in light of emerging developments in computer architecture.

Suggested Citation

  • David H. Bailey & Jonathan M. Borwein, 2015. "High-Precision Arithmetic in Mathematical Physics," Mathematics, MDPI, vol. 3(2), pages 1-31, May.
    • Handle: RePEc:gam:jmathe:v:3:y:2015:i:2:p:337-367:d:49474
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