High-precision arithmetic in mathematical physics
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Publication:2352948
DOI10.3390/math3020337zbMath1318.65025OpenAlexW1584707396MaRDI QIDQ2352948
David H. Bailey, Jonathan M. Borwein
Publication date: 7 July 2015
Published in: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/math3020337
numerical integrationPoisson equationfloating-point arithmetichigh-precision arithmeticIsing integralsPSLQ algorithm
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical quadrature and cubature formulas (65D32) Error analysis and interval analysis (65G99)
Related Items (10)
Formal verification of a floating-point expansion renormalization algorithm ⋮ On the Possibility of Increasing the Accuracy of Computations in the Floating-Point Format with Multiple Exponents ⋮ A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems ⋮ A review note on arbitrary precision arithmetic ⋮ Parallel cross interpolation for high-precision calculation of high-dimensional integrals ⋮ A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework ⋮ The PSLQ algorithm for empirical data ⋮ An elementary algorithm to evaluate trigonometric functions to high precision ⋮ Computing Hypergeometric Functions Rigorously ⋮ Numerical aspects of integration in semi-closed option pricing formulas for stochastic volatility jump diffusion models
Uses Software
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