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High-Precision Arithmetic in Mathematical Physics

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Analysis of certain lattice sums
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Evaluating infinite integrals involving Bessel functions of arbitrary order
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Performance of the Taylor series method for ODEs/DAEs
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Breaking the limits: The Taylor series method
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High-precision computation: Mathematical physics and dynamics
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VSVO formulation of the taylor method for the numerical solution of ODEs
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Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
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Hand-to-hand combat with thousand-digit integrals
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Using Accurate Arithmetics to Improve Numerical Reproducibility and Stability in Parallel Applications
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Highly accurate evaluation of the few-body auxiliary functions and four-body integrals
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CutTools: a program implementing theOPPreduction method to compute one-loop amplitudes
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Elliptic integral evaluations of Bessel moments and applications
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Computation and theory of extended Mordell-Tornheim-Witten sums
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Analysis of PSLQ, an integer relation finding algorithm
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Improved Lieb-Oxford exchange-correlation inequality with a gradient correction
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Automated implementation of on-shell methods for one-loop amplitudes
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QED Corrections of O(mc2α7lnα) to the Fine Structure Splittings of Helium and He-like Ions
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Relativistic and QED Energies in Lithium
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Bethe Logarithm and QED Shift for Lithium
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Algorithms for quad-double precision floating point arithmetic
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Multiple-Precision Evaluation of the Airy Ai Function with Reduced Cancellation
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The Accurate and Efficient Solution of a Totally Positive Generalized Vandermonde Linear System
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Graph-Based Software Design for Managing Complexity and Enabling Concurrency in Multiphysics PDE Software
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Algorithm 924
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A new view on HJLS and PSLQ
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Precimonious
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Solving Ordinary Differential Equations Using Taylor Series
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Deterministic Nonperiodic Flow
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Performance Tuning of Scientific Applications
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Parallel Computer Architecture
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Double Exponential Formulas for Numerical Integration
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Moments of elliptic integrals and critical $L$-values
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Experimentation in mathematics: computational paths to discovery
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Mathematics by experiment: plausible reasoning in the 21st century

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