- Investigate existence and uniqueness of solutions to differential equations;
- Check the continuous dependence of the solution on the data;
- Select and investigate suitable discretisation methods in space and time;
- Implement the selected solution methods on the computer;
- Verify the accuracy and plausibility of the numerical solution.
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Analysis and numerical methods for ordinary and partial differential equations;
single and multi-step methods; finite difference and finite element methods;
numerical methods for parabolic and hyperbolic differential equations.
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