Practical Numerical Analysis (2022-23)
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- Lecturer: Profile: Kathryn Gillow
Course information
Course Term: Michaelmas
Course Lecture Information: 8 lectures
Course Overview:
This course is based around a set of Matlab assignments, one per week. These cover a range of numerical analysis topics specializing in particular on the numerical solution of ODEs and PDEs. The lectures will go over the practical aspects required for each week's assignment, and discuss the results from the previous week's assignment when necessary. The lectures will focus on using Matlab to apply the Numerical Analysis theory learned in other classes.
Section outline
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Root-finding. The material for this sheet is contained in Lecture 1: Rootfinding.
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The \(\theta\)-method for initial value ODE problems. The material for this sheet is contained in Lecture 2: Initial Value Problems: ODEs.
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Runge-Kutta schemes for initial value ODE problems. The material for this sheet is contained in Lecture 3: Initial Value Problems: ODEs (question 1) and the first half of Lecture 4: Initial Value Problems: ODEs (question 2).
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Linear Multistep Methods. The material for this sheet is contained in the second half of Lecture 4: Initial Value Problems: ODEs.
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The \(\theta\)-method for solving initial value ODE problems.
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Runge-Kutta schemes for solving ODE initial value problems.
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Adaptive Runge-Kutta schemes and linear multistep methods
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