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Numerical analysis is the study of how to approximate continuous functions using rational numbers. The study of algorithms is an essential aspect of numerical analysis, because the result of computations may depend on the order in which the computations |
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Numerical analysis is the study of how to approximate continuous functions using rational numbers. The study of algorithms is an essential aspect of numerical analysis, because the result of computations may depend on the order in which the computations |
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that is still very important. The logarithms of the sixteenth century |
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that is still very important. The logarithms of the sixteenth century |
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An important part of Numerical Analysis is concerned with computing (in an approximate way) the solution of Partial Differential Equations. This is done by first discretizing the equation, bringing it into a finite dimensional subspace, then solving the linear system in this finite dimensional space. The first stage is done by the [Finite Element method]?, [finite difference]? methods, or (particularly in engineering) the method of Finite Volumes. |
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Conjugate gradient: see iterative method, |
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The linear systems that come form discretized PDEs can then be solved by a variant of Gaussian Elimination, by some Iterative method such as Conjugate Gradients, or by Multigrid?. |
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