ARPREC

ARPREC: An arbitrary precision computation package. This paper describes a new software package for performing arithmetic with an arbitrarily high level of numeric precision. It is based on the earlier MPFUN package cite mpf90, enhanced with special IEEE floating-point numerical techniques and several new functions. This package is written in C++ code for high performance and broad portability and includes both C++ and Fortran-90 translation modules, so that conventional C++ and Fortran-90 programs can utilize the package with only very minor changes. This paper includes a survey of some of the interesting applications of this package and its predecessors


References in zbMATH (referenced in 36 articles )

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  1. Bailey, D.H.; Borwein, J.M.: Computation and theory of Mordell-Tornheim-Witten sums. II. (2015)
  2. Fernández-Torres, Gustavo: Derivative free iterative methods with memory of arbitrary high convergence order (2014)
  3. Khattri, Sanjay K.; Steihaug, Trond: Algorithm for forming derivative-free optimal methods (2014)
  4. Khattri, Sanjay Kumar: How to increase convergence order of the Newton method to $2\times m$? (2014)
  5. Bailey, D.H.; Borwein, J.M.; Crandall, R.E.; Zucker, I.J.: Lattice sums arising from the Poisson equation (2013)
  6. Kuhlman, Kristopher L.: Review of inverse Laplace transform algorithms for Laplace-space numerical approaches (2013)
  7. Rump, Siegfried M.: Accurate solution of dense linear systems I: Algorithms in rounding to nearest (2013)
  8. Bailey, D.H.; Barrio, R.; Borwein, J.M.: High-precision computation: mathematical physics and dynamics (2012)
  9. Bruinier, Jan H.; Strömberg, Fredrik: Computation of harmonic weak Maass forms (2012)
  10. Chevillard, S.: The functions erf and erfc computed with arbitrary precision and explicit error bounds (2012)
  11. Coclite, G.M.; Gargano, F.; Sciacca, V.: Analytic solutions and singularity formation for the peakon $b$-family equations (2012)
  12. Bailey, D.H.; Borwein, J.M.: High-precision numerical integration: progress and challenges (2011)
  13. Keitel, D.; Schneider, P.: Constrained probability distributions of correlation functions (2011)
  14. Khattri, Sanjay K.; Argyros, Ioannis K.: Sixth order derivative free family of iterative methods (2011)
  15. Khattri, Sanjay Kumar: Optimal eighth order iterative methods (2011)
  16. Khattri, Sanjay Kumar; Log, Torgrim: Derivative free algorithm for solving nonlinear equations (2011)
  17. Khattri, S.K.; Noor, M.A.; Al-Said, E.: Unifying fourth-order family of iterative methods (2011)
  18. Van Slingerland, Paulien; Ryan, Jennifer K.; Vuik, C.: Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering for improving discontinuous Galerkin solutions (2011)
  19. Bailey, D.H.; Borwein, J.M.; Crandall, R.E.: Advances in the theory of box integrals (2010)
  20. Gunnels, John; Lee, Jon; Margulies, Susan: Efficient high-precision matrix algebra on parallel architectures for nonlinear combinatorial optimization (2010)

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