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Knowledge
NUMERICAL METHODS
Mastery
Solve liniar systems by direct methods
Solve nonlinear systems
Interpolation
Function approximation
Numerical integration and differentiation
Fast Fourier Transform
Familiarity
Eigenvalue calculation, Singular value decomposition, Solution of liniar
systems by iterative methods
Unconstrained optimization
Numerical solution of ODE
Numerical solution of PDE by finite difference methods
Exposure
Constrained optimization
Finite element methods
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Skills
NUMERICAL METHODS
Mastery
Read and understand numerical methods literature
Select suitable numerical algorithms for the problem at hand
Modify existing algorithms to make them suitable for the problem at hand
Familiarity
Create new problem-specific algorithms
Debug numerical algorithms (understand error sources and their propagation,
and fix excessive errors)
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