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numerical_methods_introduction

A set of Jupyter Notebooks demonstrating various numerical methods in Python.

https://github.com/nagelt/numerical_methods_introduction

Science Score: 67.0%

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    Found 6 DOI reference(s) in README
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    Low similarity (7.7%) to scientific vocabulary
Last synced: 6 months ago · JSON representation ·

Repository

A set of Jupyter Notebooks demonstrating various numerical methods in Python.

Basic Info
  • Host: GitHub
  • Owner: nagelt
  • License: mit
  • Language: Jupyter Notebook
  • Default Branch: master
  • Size: 73.2 MB
Statistics
  • Stars: 9
  • Watchers: 3
  • Forks: 12
  • Open Issues: 0
  • Releases: 1
Created almost 6 years ago · Last pushed 8 months ago
Metadata Files
Readme License Citation

README.md

Introduction to numerical methods using Jupyter Notebooks

A set of Jupyter Notebooks demonstrating various numerical methods in Python. Among those are:

  • Single-step time integration: Euler forward and backward, Crank-Nicolson.
  • Finite difference, finite element, collocation, subdomain, least-squares methods
  • Iterative Picard and Newton-Raphsons solution methods
  • Stabilization methods: Mass lumping and finite increment calculus
  • First aspects of localization of softening material models
  • Concepts of staggered and monolithic coupling schemes

Illustrative examples chosen include first order models, beam bending theories and Terzaghi consolidation.

The notebooks mainly make use of

  • numpy
  • scipy
  • matplotlib
  • ipywidgets
  • sympy

The latter allows an interactive adaptation of parameters to immediatly illustrate their effect, e.g. the time-step size.

The notebooks can be viewed with nbviewer, see https://jupyter.org/, or can now also be run interactively using binder (available through nbviewer).

See https://nagelt.github.io

Comments and contributions are welcome.

Citation

Nagel, T. (2025). Introduction to Numerical Methods for Geoengineers in Python from WS202425 (WS202425). Zenodo. https://doi.org/10.5281/zenodo.15335885

Related publication:

Kern, D., & Nagel, T. (2022). An experimental numerics approach to the terrestrial brachistochrone. GAMM Archive for Students, 4(1), 29–35. https://doi.org/10.14464/gammas.v4i1.512

Kern, D., & Nagel, T. (2024). The essence of Biot waves in an oscillator with two degrees of freedom. GAMM Archive for Students, 6(1). https://doi.org/10.14464/gammas.v6i1.663

Owner

  • Name: Thomas Nagel
  • Login: nagelt
  • Kind: user

Citation (CITATION.cff) 

cff-version: 1.1.0
message: "If you use this software, please cite it as below."
authors:
- family-names: Nagel
  given-names: Thomas
  orcid: https://orcid.org/0000-0001-8459-4616
title: Introduction to Numerical Methods for Geoengineers in Python from WS2024_25
version: WS2024_25
date-released: 2025-04-29

GitHub Events

Total
  • Release event: 4
  • Watch event: 1
  • Delete event: 1
  • Push event: 32
  • Create event: 3
Last Year
  • Release event: 4
  • Watch event: 1
  • Delete event: 1
  • Push event: 32
  • Create event: 3

Committers

Last synced: 8 months ago

All Time
  • Total Commits: 170
  • Total Committers: 3
  • Avg Commits per committer: 56.667
  • Development Distribution Score (DDS): 0.029
Past Year
  • Commits: 49
  • Committers: 1
  • Avg Commits per committer: 49.0
  • Development Distribution Score (DDS): 0.0
Top Committers
Name Email Commits
Thomas Nagel n****t@t****e 165
Dominik Kern d****t@g****m 4
cbsilver c****n@i****e 1
Committer Domains (Top 20 + Academic)
ifgt.tu-freiberg.de: 1 tcd.ie: 1

Issues and Pull Requests

Last synced: 8 months ago

All Time
  • Total issues: 0
  • Total pull requests: 1
  • Average time to close issues: N/A
  • Average time to close pull requests: 2 days
  • Total issue authors: 0
  • Total pull request authors: 1
  • Average comments per issue: 0
  • Average comments per pull request: 4.0
  • Merged pull requests: 1
  • Bot issues: 0
  • Bot pull requests: 0
Past Year
  • Issues: 0
  • Pull requests: 0
  • Average time to close issues: N/A
  • Average time to close pull requests: N/A
  • Issue authors: 0
  • Pull request authors: 0
  • Average comments per issue: 0
  • Average comments per pull request: 0
  • Merged pull requests: 0
  • Bot issues: 0
  • Bot pull requests: 0
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Top Authors
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  • dominik-kern (1)
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Dependencies

requirements.txt pypi
  • ipywidgets *
  • matplotlib *
  • numpy *
  • scipy *
  • sympy *