Numerical Methods I
£3.75
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Numerical Methods I
£3.75
Part 1 of 2 in the Numerical Methods series. Topics in this product include finite difference notation and modified wavenumber analysis, numerical stability, explicit and implicit Euler methods, the trapezoidal method, and Runge-Kutta methods.
This is a 12-page PDF scan of handwritten notes, featuring clickable PDF bookmarks so you can jump straight to any page in a PDF viewer such as Adobe Acrobat. Complete page-by-page contents can be found below so you know exactly what's inside before you buy.
ComputationPage-by-page contents
Computation
Page-by-page contents
- 01ODEs, PDEs, Anscombe's quartet, finite differences, discrete functions
- 02Discrete functions (continued), notation, forward difference, backwards difference, central difference
- 03Central difference, modified wavenumber analysis
- 04Initial value problems, taylor series methods
- 05Numerical stability, stable, conditionally stable and unstable numerical schemes, linearisation
- 06Stability analysis, explicit euler
- 07Finite differences, central differences, finite differences, modified wavenumber analysis, ODEs
- 08Taylor series methods, numerical stability
- 09Implicit euler, numerical accuracy
- 10Explicit vs implicit euler, trapezoidal method
- 11Runge-Kutta methods, 2nd order, 4th order
- 12Explicit vs implicit euler, accuracy, trapezoidal method, Runge-Kutta method