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teaching:methcalchim:system_of_linear_equations [2016/11/25 11:15] – créée villersd | teaching:methcalchim:system_of_linear_equations [2017/09/28 10:34] – villersd | ||
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+ | ===== Theory ===== | ||
* [[wp> | * [[wp> | ||
* [[wp> | * [[wp> | ||
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* Hint : in Python, use the timeit module | * Hint : in Python, use the timeit module | ||
- | References : | + | ===== Applications ===== |
+ | ==== 1D problems with neigbours ==== | ||
+ | * Thermal diffusion and chemical diffusion (transient or stationary) on a regular 1D space with equidistant steps. ODE equations can be writen such a given evolution equation for node # i only imlies nodes i+1 and i-1 | ||
+ | * Using Thomas algorithm allows to save computational time thanks to n complexity | ||
+ | |||
+ | ===== References : ===== | ||
* Numerical recipes, The Art of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, 2007, isbn: 9780521880688 | * Numerical recipes, The Art of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, 2007, isbn: 9780521880688 | ||
* [[http:// | * [[http:// | ||
* [[http:// | * [[http:// | ||
* [[http:// | * [[http:// |