https://github.com/nschloe/nosh

A numerical solver for nonlinear Schrödinger equations
https://github.com/nschloe/nosh

Last synced: 22 days ago
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A numerical solver for nonlinear Schrödinger equations

• Host: GitHub
• URL: https://github.com/nschloe/nosh
• Owner: nschloe
• Created: 2012-09-03T19:29:14.000Z (about 12 years ago)
• Default Branch: master
• Last Pushed: 2016-06-21T12:38:29.000Z (over 8 years ago)
• Last Synced: 2024-10-10T09:08:30.690Z (about 1 month ago)
• Language: C++
• Size: 3.7 MB
• Stars: 4
• Watchers: 3
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Nosh

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This is Nosh, a free and open-source implementation of numerical solutions

methods for nonlinear Schrödinger equations of the form

$0=(\K+V+g|\psi|^2)\psi$.

Numerical parameter continuation is the main tool for solving this nonlinear

partial differential equation: Given a number of user-specified system

parameters and an initial guess for one parameter setting, Nosh will find a

continuous curve of solutions for a changing parameter value.  The

discretization is a mixed volume-tetrahedral formulation and can handle

arbitrarily-shaped domains.  The Jacobian system in the Newton process are

solved using a preconditioned MINRES method, providing exceptional

computational efficiency that allows for computations with a large number of

unknowns such as appearing in three-dimensional systems.  Being based on the

Trilinos-toolkit, Nosh runs efficiently in highly parallel high-performance

environments.