Numerical Methods Course
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Date
2024-12-12
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Abstract
Numerical analysis is fundamentally intertwined with computer science. The advent of high-
performance computing has revolutionized the field, enabling the solution of complex mathematical
problems that were previously intractable. Numerical methods are at the heart of computational
software, from scientific simulations to data analysis tools. Computer scientists design efficient
algorithms and data structures to implement these methods, while numerical analysts develop the
mathematical foundations. This interdisciplinary collaboration has led to groundbreaking
advancements in fields such as artificial intelligence, machine learning, and data science, where
numerical techniques are essential for tasks like training neural networks, processing large datasets,
and solving optimization problems
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Keywords
Numerical Analysis, Error Analysis, Linear Systems, Direct Methods, Gauss Method, LU Factorization, Iterative Methods, Jacobi Method, Gauss-Seidel Method, Relaxation Method, Localization of Eigenvalues, Gershgorin Circle Theorem, Power Method.
