Specification of MAT-MEK4270/9270 syllabus

The lecture notes

From the book "Finite Difference Computing with Exponential Decay Models"

• Chapter 1 Algorithms and implementations (the most important parts: 1.1, 1.2.8-1.2.10)
• Chapter 2 Analysis (the most important parts: 2.1, 2.2, 2.3)

From the book "Finite Difference Computing with PDEs"

• Chapter 1 Vibration ODEs (the most important parts: Secs 1.1, 1.4)
• Chapter 2 Wave equations (the most important parts: Secs 2.1, 2.2, 2.6, 2.10, 2.11, (2.12))

From the book "Introduction to Numerical Methods for Variational Problems"

• Chapter 2 Function approximation by global functions (the most important parts: Secs 2.1, 2.2 (¡Â2.2.6), 2.3, 2.4, 2.6)  
• Chapter 3 Function approximation by finite elements (the most important parts: Secs 3.1, (3.2), 3.6)  
• Chapter 4 Variational formulations with global basis functions (the most important parts: Secs 4.1, 4.2 (¡Â4.2.4), 4.3)  
• Chapter 5 Variational formulations with finite elements (the most important parts: Secs 5.1, 5.2 (¡Â5.2.4), 5.3, 5.5 (¡Â5.5.4-5.5.6))  
• Chapter 6 Time-dependent variational forms (the most important parts: Secs 6.1 (¡Â6.1.8), 6.2, 6.3, (6.4))