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In the field of numerical analysis, numerous tools are employed including the popular numerical computation packages such as Lobatto method, Improved Euler's method, Runge-Kutta method, and Composite Simpson's rule. Additionally, Matlab's mathematical modelling toolbox is a widely used resource with a plethora of examples.
When it comes to algorithms, there are several commonly used ones such as the Floyd algorithm, Divide and Conquer algorithm, Dynamic Programming, Combinatorial algorithm, and Greedy algorithm. These approaches are used in a variety of contexts and can be adapted to solve a wide range of problems.