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High-precision arithmetic in mathematical physics - MaRDI portal

High-precision arithmetic in mathematical physics (Q2352948)

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High-precision arithmetic in mathematical physics
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    High-precision arithmetic in mathematical physics (English)
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    7 July 2015
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    Summary: 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.
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    high-precision arithmetic
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    numerical integration
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    PSLQ algorithm
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    Ising integrals
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    Poisson equation
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    floating-point arithmetic
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