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Numerical Analysis, as applied to Quantum Chemistry, involves the development and application of mathematical methods to solve chemical problems using numerical algorithms. It's concerned with the design and implementation of computational approaches for simulating quantum systems, including both classical and quantum computers. This subfield requires a strong foundation in mathematics, particularly linear algebra, calculus, and differential equations, as well as an understanding of quantum mechanics and computational chemistry. Researchers in this area may develop new algorithms, analyze the efficiency and accuracy of existing methods, or apply numerical techniques to specific chemical problems. Overall, Numerical Analysis plays a crucial role in advancing our ability to model and understand complex quantum systems, making it an essential component of the broader field of Quantum Chemistry within the context of Science and Mathematics.