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Numerical Analysis is the study and development of methods for solving mathematical problems using numerical approximation. It involves the design, analysis, and implementation of algorithms that produce approximate solutions to complex problems in science, engineering, finance, and other fields. These algorithms often employ techniques from linear algebra, calculus, optimization, and statistics, among others. In the context of the hierarchy Science/Space Science/Mathematics, Numerical Analysis is a subfield of Mathematics that is particularly relevant for addressing computational challenges in Space Science and related scientific disciplines. It provides a rigorous framework for developing reliable and efficient algorithms to solve complex problems arising in these fields.