ToolboxLS (the Level Set Methods Toolbox by Ian Mitchell) manual, remastered in Typst.
Note
Why remastering? Because the original manual PDF uses unrecognizable fonts, and the text cannot be copied, annotated or edited properly.
Caution
To myself:
Typst is still experimental and anti-humanity, DO NOT USE in my next project.
Please see Releases for remastered compiled documents.
Important
The full version will not be public before its copyright clarification.
- Original edition
en-US - Translation edition
zh-CN
| Contents | en-US | zh-CN |
|---|---|---|
| Abstract | ✅ | ✅ |
| Copyright | ✅ 2P | ✅ |
| Preface | ✅ 1P | ✅ |
| 1 Introduction | ✅ 10P 🔲 proofreading | 🔲 polishing 🔲 proofreading |
| - 1.1 Toolbox Objectives | - ✅ 1P | - ✅ |
| - 1.2 Contents of the Toolbox | - ✅ 2P | - ✅ |
| - 1.3 Using the Toolbox | - ✅ 1P | - ✅ |
| - 1.4 Troubleshooting | - ✅ 2P | - ✅ |
| - 1.5 Advanced Tips for the Toolbox | - ✅ 1P | - ✅ |
| - 1.6 Other Publications about the Toolbox | - ✅ 0P | - ✅ |
| - 1.7 Citing the Toolbox | - ✅ 2P | - ✅ |
| 2 Level Set Examples | ✅ 70P 🔲 proofreading | 🔲 polishing 🔲 proofreading |
| - 2.1 Getting Started: Convective Motion (5) | - ✅ 12P | - ✅ |
| - 2.2 Basic Examples | - ✅ 6P | - 🔲 |
| - 2.3 Examples from Osher & Fedkiw [24] | - ✅ 5P | - 🔲 |
| - 2.4 Examples from Sethian [28] | - ✅ 3P | - 🔲 |
| - 2.5 General HJ Examples from Osher & Shu [26] | - ✅ 3P | - 🔲 |
| - 2.6 Examples of Reachable Sets | - ✅ 11P | - 🔲 |
| - 2.7 Examples of Cost to Go and Time to Reach Stationary HJ Equations | - ✅ 10P | - 🔲 |
| - 2.8 Expectations of Stochastic Differential Equations | - ✅ 6P | - 🔲 |
| - 2.9 Vector Level Sets | - ✅ 4P | - 🔲 |
| - 2.10 Reinitialization Examples from Russo & Smereka [27] | - ✅ 3P | - 🔲 |
| - 2.11 Testing Routines | - ✅ 7P | - 🔲 |
| 3 Code Components | ✅ 41P 🔲 proofreading | 🔲 polishing 🔲 proofreading |
| - 3.1 Grids | - ✅ 3P | - 🔲 |
| - 3.2 Boundary Conditions | - ✅ 2P | - 🔲 |
| - 3.3 Initial Conditions | - ✅ 4P | - 🔲 |
| - 3.4 Spatial Derivative Approximations | - ✅ 5P | - 🔲 |
| - 3.5 Time Derivative Approximations | - ✅ 5P | - 🔲 |
| - 3.6 Approximating the Terms in HJ PDEs | - ✅ 11P | - 🔲 |
| - 3.7 Helper Routines | - ✅ 7P | - 🔲 |
| - 3.8 Vector Level Sets | - ✅ 4P | - 🔲 |
| 4 New and Future Features | ✅ 6P 🔲 proofreading | 🔲 polishing 🔲 proofreading |
| - 4.1 Features New to Version 1.1 | - ✅ 1P | - ✅ |
| - 4.2 Potential Future Features | - ✅ 2P | - ✅ |
| Acknowledgement | ✅ 1P | ✅ |
| References | ✅ 3P | ✅ |
| Concept Index | ✅ 2P | 🔲 |
| Command Index | ❌ 3P | ❌ |