Undervisningsplan
| Dato |
Undervises av |
Sted |
Tema |
Kommentarer / ressurser |
| 23.01.2013 |
Marie Rognes |
Postscript |
Basic information about the course, numerical integration, the trapezoidal method |
Slides for Chapter 1
|
| 30.01.2013 |
Marie Rognes |
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Ordinary differential equations: model for exponential growth; existence, stability, and uniqueness |
Slides for Chapter 2 |
| 31.01.2013 |
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Exercise 1.1, 1.3, 1.4 |
| 06.02.2013 |
Marie Rognes |
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Euler methods for linear and nonlinear ODEs, stability of numerical methods |
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| 07.02.2013 |
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Exercise 2.1, 2.2, 2.3 |
| 13.02.2013 |
Marie Rognes |
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Systems of ordinary differential equations: introduction to systems of ODEs, quick summary of basic linear algebra, definition of explicit and implicit schemes; existence of numerical solutions |
Slides for Chapter 3 |
| 14.02.2013 |
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Project 2.4.2 |
| 20.02.2013 |
Marie Rognes |
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Phase plane analysis of systems of 2 ODEs; estimating error in energy functional for explicit and implicit Euler; the Crank-Nicolson scheme; energy conservation |
Lecture 5 slides |
| 21.02.2013 |
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Exercise 2.5, Project 2.4.1 |
| 28.02.2013 |
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Mandatory assignment 1 |
| 05.03.2013 |
Marie Rognes |
|
Big-Oh-notation; Nonlinear algebraic equations: the Bisection method,Newton's method, comparison of the two, Newton's method for systems of nonlinear equations |
Answers to big-O-exercise
Slides for Chapter 4
Lecture 6 slides
Source code for Lecture 6 slides
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| 07.03.2013 |
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Exercise 3.1, 3.2, 3.3 |
| 12.03.2013 |
Marie Rognes |
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Fixed-point iterations for nonlinear equations of the form v = h(v); existence, uniqueness and convergence |
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| 14.03.2013 |
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4.1, 4.2, 4.3, 4.4 |
| 21.03.2013 |
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Midterm Week, group canceled. |
| 28.03.2013 |
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Easter, no groups!! |
| 03.04.2013 |
Glenn Terje Lines |
|
Method of Least Squares |
Chapter 5
Python code for discrete MLS
Python code for continous MLS
|
| 04.04.2013 |
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5.2, 5.3, 5.4, 5.5, 5.6 |
| 10.04.2013 |
Glenn Terje Lines |
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From Mathemtical Formula to Scientific Software |
Chapter 6
Quiz on MLS
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| 11.04.2013 |
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5.7, 5.8, 5.9 |
| 17.04.2013 |
Glenn Terje Lines |
|
Diffusion Processes |
Chapter 7
Python code for the heat equation
|
| 18.04.2013 |
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7.1,7.2,7.3, 7.4, 7.5, 7.6, 7.7 |
| 24.04.2013 |
Glenn Terje Lines |
|
The Heat Equation |
Chapter 8 |
| 25.04.2013 |
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7.12, 7.13, 7.14, 8.1. 8.10 |
| 02.05.2013 |
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Mandatory assignment 2, 8.2, 8.3, 8.7, 8.12 |
| 08.05.2013 |
Glenn Terje Lines |
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Parameter Estimation |
Chapter 9 |
| 09.05.2013 |
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public holiday, no groups |
| 16.05.2013 |
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8.4, 8.5, 8.8, 8.9. 9.1, 9.2 |
Published Jan. 23, 2013 12:17 PM
- Last modified Feb. 7, 2020 3:59 PM