Lecture1

Lecture1 - lorida International University Florida...

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Unformatted text preview: lorida International University Florida International University Fall 2008 What are numerical methods? Numerical methods are used to solve mathematically posed problems (usually in the form of equations) that nnot be solved by analytical (exact by hand) cannot be solved by analytical ( exact , by hand ) methods. We could also refer to this course as numerical analysis But, this is not a course in math, at least not in the traditional sense hy do we need numerical Why do we need numerical methods; why are they relevant? Numerical methods are used every day in science, engineering, medicine, health, and businessthey are used to solve mathematical models of interacting chemical species, the llision f ars ultifunctional aterials ridges uffeted y collision of stars, multifunctional materials, bridges buffeted by high winds, groundwater pollution, a beating heart, spreading epidemics, and tomorrow's stock prices. Numerical methods are indispensable because the real world's behavior is almost always li t d d t d d t i l iffi lt too complicated t o understand, and certainly too difficult to predict accurately, by observation alone. In extreme cases, certain real world phenomena that need to be studied, such as nuclear explosions or ingestion of carcinogens by babies, do not permit systematic observation or even experimentation. Combined with intuition, experience, and data, the abstraction and generality of mathematics allow us to create models that can e nalyzed mputed ith d isualized be analyzed, computed with, and visualized. Historical Perspective...
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Lecture1 - lorida International University Florida...

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