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DOE OSTI · 1212153

High-precision arithmetic in mathematical physics

Bailey, David H.·Borwein, Jonathan M.
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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. Furthermore, 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.

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97 MATHEMATICS AND COMPUTINGIsing integralsPSLQ algorithmPoisson equationhigh-precision arithmeticnumerical integration

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BibTeXRIS

Bailey, David H., Borwein, Jonathan M.. 2015-05-12. High-precision arithmetic in mathematical physics. https://doi.org/10.3390/math3020337

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