Syllabus/achievement requirements

Stand-alone module: Finite Difference Computing with Exponential Decay Models

Lecture notes: HTML Bootstrap ebook (PDF for printing)

Note: The relevant parts are Algorithms and implementations & Analysis

Textbook 1: Finite Difference Computing with PDEs

OpenAccess book at Springer

Note: The relevant chapters are 

• Chapter 1 Vibration ODEs (the most important parts: Secs 1.1, 1.2, 1.4)
• Chapter 2 Wave Equations (the most important parts: Secs 2.1, 2.2, 2.3, 2.6, 2.7, 2.10)
• Chapter 5 Nonlinear Problems (the most important parts: Secs 5.1, 5.2, 5.3)

Textbook 2: Introduction to Numerical Methods for Variational Problems

Book manuscript for download (author's permission granted)

(Official book at Springer)

Note: The relevant chapters in the book manuscript are 

• Chapter 3 Function approximation by global functions (the most important parts: Secs 3.1, 3.2, 3.3, 3.4)
• Chapter 4 Function approximation by finite elements (the most important parts: Secs 4.1, 4.2, 4.3, 4.4)
• Chapter 5 Variational formulations with global basis functions (the most important parts: Secs 5.1, 5.2, 5.3)
• Chapter 6 Variational formulations with finite elements (the most important parts: Secs 6.1, 6.2, 6.3, 6.5, 6.6)
• Chapter 7 Time-dependent variational forms (the most important parts: Secs 7.1, 7.2, 7.3)
• Chapter 10 Nonlinear problems (the most important parts: Secs 10.1, 10.2, 10.3, 10.4)