Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis. It’s essentially about finding approximate solutions to mathematical problems using numerical methods. Key Characteristics / Core Concepts Approximation: Numerical analysis relies on approximating solutions, not finding exact answers. Algorithms: It uses specific step-by-step … Read more
Computational physics is the study and application of numerical methods to solve problems in physics. It uses computers to simulate physical systems and processes that are too complex to solve analytically. Key Characteristics / Core Concepts Numerical methods: Algorithms and techniques for approximating solutions to mathematical problems. Computer simulations: Creating virtual representations of physical systems … Read more
Applied mathematics is the application of mathematical methods and techniques to solve problems in other fields. It bridges the gap between abstract mathematical theories and real-world applications. Key Characteristics / Core Concepts Problem-solving focus: Applied math prioritizes finding solutions to practical problems. Interdisciplinary nature: It draws upon various mathematical disciplines (calculus, statistics, etc.) and applies … Read more