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# Ch 1 - PGE 310 Formulation and Solution of Geosystems...

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PGE 310: Formulation and Solution of Geosystems Engineering Problems Dr. Matthew T. Balhoff Fall 2010 1 About Me Education/Research Experience – B.S. Chemical Engineering, Louisiana State University 2000 – Ph.D. Chemical Engineering, Louisiana State University 2005 – ICES Postdoctoral Fellow (CSM), UT-Austin 2005-2007 – Assistant Professor, UT-Austin 2007- Research Interests – Flow and transport in porous media – Non-Newtonian flow – Pore-scale and Multi-scale modeling – NUMERICAL METHODS += 2

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What’s a Numerical Method ? Many math problems cannot be solved analytically (exactly) Numerical methods are approximate techniques Real-life problems in science and engineering require these numerical techniques Real world problems can take hours, days, or years to solve. A well written computer program (in MATLAB for example) can do it much faster. 3 Example 1: Roots of Equations A root of an equation is the value that results in a “zero” of the function Q: Find the root of the following quadratic equation 2 () 4 3 0 fx x x !"# ! 4
Example 1: Roots of Equations •A root of an equation is the value that results in a “zero” of the function

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Ch 1 - PGE 310 Formulation and Solution of Geosystems...

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