simplesolv is a program to compute the solution of the Simplified approach to
the Bose gas.

It is written in julia, and requires the julia interpreter to run.

The code is available in the 'src' directory.

The LaTeX source code for the documentation is located in the 'doc' directory.
A pdf file is available in the source tarball, as well as at
  http://ian.jauslin.org/software/simplesolv/simplesolv-doc.pdf
The documentation basic usage examples, an extensive reference of all commands,
and detailed descriptions of the numerical algorithms used.

Any questions, concerns, or bug reports should be addressed to Ian Jauslin at
  ian.jauslin@rutgers.edu

simplesolv was written by Ian Jauslin, and is released under the Apache 2.0
license. It is based on work done in collaboration with
  Eric A. Carlen
  Markus Holzmann
  Elliott H. Lieb
published in the following papers:
  * E.A. Carlen, I. Jauslin, E.H. Lieb - Analysis of a simple equation for the
    ground state energy of the Bose gas, Pure and Applied Analysis, volume 2,
    issue 3, pages 659-684, 2020,
    https://doi.org/10.2140/paa.2020.2.659
    https://arxiv.org/abs/1912.04987
    http://ian.jauslin.org/publications/19cjl

  * E.A. Carlen, I. Jauslin, E.H. Lieb - Analysis of a simple equation for the
    ground state energy of the Bose gas II: Monotonicity, Convexity and
    Condensate Fraction, SIAM Journal on Mathematical Analysis, volume 53,
    number 5, pages 5322-5360, 2021
    https://doi.org/10.1137/20M13768
    https://arxiv.org/abs/2010.13882
    http://ian.jauslin.org/publications/20cjl

  * E.A. Carlen, M. Holzmann, I. Jauslin, E.H. Lieb - Simplified approach to
    the repulsive Bose gas from low to high densities and its numerical
    accuracy, Physical Review A, volume 103, issue 5, number 053309, 2021
    https://doi.org/10.1103/PhysRevA.103.053309
    https://arxiv.org/abs/2011.10869
    http://ian.jauslin.org/publications/20chjl
  
  * I. Jauslin - The Simplified approach to the Bose gas without translation
    invariance, 2023
    https://arxiv.org/abs/2302.13446
    http://ian.jauslin.org/publications/23j

  * I. Jauslin - Evidence of a liquid phase in repulsive Bosonic systems using
    the Simplified approach to the Bose gas, 2023
    https://arxiv.org/abs/2302.13449
    http://ian.jauslin.org/publications/23j_b


Dependencies:

  * julia interpreter
      Jeff Bezanson, Stefan Karpinski, Viral B. Shah, and other contributors: https://github.com/JuliaLang/julia/contributors
      https://julialang.org/
      MIT and GNU GPLv2 Licenses
  * julia packages: 
      FastGaussQuadrature
	Alex Townsend
	https://github.com/JuliaApproximation/FastGaussQuadrature.jl
	MIT license
      Polynomials
	Jameson Nash and others
	https://github.com/JuliaMath/Polynomials.jl
	MIT license
      SpecialFunctions
	Jeff Bezanson, Stefan Karpinski, Viral B. Shah, and others
	https://github.com/JuliaMath/SpecialFunctions.jl/
	MIT License

  to typeset the documentation:
  * pdftex
    pdfTeX team, TeX Live Team, Hàn Thế Thành
    http://tug.org/applications/pdftex/
    GNU GPL
  * latex
    LaTeX3 Project
    https://www.latex-project.org/
    LaTeX Project Public License 1.3c
  * LaTeX packages:
    color
      David Carlisle, LaTeX3 Project
      https://ctan.org/pkg/color
      LaTeX Project Public License 1.3c
    marginnote
      Markus Kohm
      https://komascript.de/marginnote
      LaTeX Project Public License 1.3c
    amsfonts
      American Mathematical Society
      http://www.ams.org/tex/amsfonts.html
      SIL Open Font Licence
    hyperref
      Sebastian Rahtz, Heiko Oberdiek, LaTeX3 Project
      https://github.com/latex3/hyperref
      LaTeX Project Public License 1.3
    array
      LaTeX project, Frank Mittelbach
      https://ctan.org/pkg/array
      LaTeX Project Public License 1.3
    doublestroke
      Olaf Kummer
      https://ctan.org/pkg/doublestroke
      Custom Free license
  * optionally: GNU Make
    Richard Stallman, Roland McGrath, Paul Smith
    https://www.gnu.org/software/make/
    GNU GPLv3