lec24_11062006 - 10.34, Numerical Mehods Applied to...

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10.34, Numerical Mehods Applied to Chemical Engineering Professor William H. Green Lecture #24: Uncertainties in model predictions. Cookbook: How to Compare Models to Data 1) Model definition: Understand your model 2) Assess what you already knew before adjusting any parameters 3) Adjust parameters to find a choice θ that makes data and model consistent 4) Refine parameters using the data (actually refine error bars on θ ) Model Definition 1) Write some equations Æ Y model (x i , θ , q ) numerical error in solving Æ Implicit parameters not to be adjusted Explicit Algebra Y max / ∂θ n Sensitivity Analysis d / d θ 2) Where do the numbers in model come from? Error bars? 3) Approximations, Assumptions Æ Equations 4) Look for built in dependencies between θ ’s (may not be able to separately determine each one) Æ Reformulate model to depend on θ ~ Assess what you already know. May already have p(
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This note was uploaded on 11/27/2011 for the course CHEMICAL E 10.302 taught by Professor Clarkcolton during the Fall '04 term at MIT.

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lec24_11062006 - 10.34, Numerical Mehods Applied to...

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