Ultra-high precision computations

DOI10.1016/0898-1221(94)90148-1zbMath0792.65010OpenAlexW2002953661MaRDI QIDQ1324405

H. G. Khajah, Eduardo L. Ortiz

Publication date: 24 May 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)90148-1

zbMATH Keywords

tableserror boundstau methodChebyshev expansionsFortran subroutinebasic mathematical functionsultra-high precision computations

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Software, source code, etc. for problems pertaining to real functions (26-04) Elementary functions (26A09) Tables in numerical analysis (65A05)

Uses Software

• ALGOL 68
• Algorithm 524
• Cephes

Cites Work

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• The effect of truncation and round-off on computer simulated chaotic trajectories
• Upper and lower error estimation for the Tau method and related polynomial techniques
• The special functions and their approximations. Vol. I, II
• Variable precision exponential function
• Very High Accuracy Chebyshev Expansions for the Basic Trigonometric Functions
• A Portable Extended Precision Arithmetic Package and Library with Fortran Precompiler
• Chebyshev Expansions for the Error and Related Functions
• Arbitrary precision arithmetic in Algol 68
• Algorithm 693: a FORTRAN package for floating-point multiple-precision arithmetic
• The Tau Method

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