GEOE 359 Lecture Notes - Lecture 2: Geoid, Computational Science, Propagation Of Uncertainty
25 Jan 2017
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Document Summary
Geoid = mean sea level at any point on earth. H(geiod) = h(gps) n(height of geoid above ellipsoid h. Are ways to quantify, predict, dissect, and model. Is the development and analysis/study of algorithms (methods, techniques) for obtaining numerical solutions to mathematical problems. Numerical methods are mathematical techniques for solving numerically, rather than analytically, mathematical problems. Often called mathematics of scientific computing as it involves a computer program or code to communicate the algorithm to the computer. Iterations are a key element for most numerical solution algorithms: they are loops. Issues to consider for numerical and approximate solutions. How quickly and how precisely we approximate the solution depends on the increment value, the search interval, and the initial value of x. Numerical analysis helps us to choose efficient algorithms, proper values or the search interval, increment and the initial value, and to estimate the error in the approximation. Error estimation is necessary to assess the quality of the solution.
