Titlebook: Certified Reduced Basis Methods for Parametrized Partial Differential Equations; Jan S Hesthaven,Gianluigi Rozza,Benjamin Stamm Book 2016

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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The Empirical Interpolation Method,that ., and similarly for the righthand side and the output of interest. Unfortunately, this assumption fails for the majority of problems one would like to consider and it is essential to look for ways to overcome this assumption by approximating the non-affine elements in a suitable way.

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Reduced Basis Methods,o seek alternatives to simply solving the full problem many times. This is exactly where reduced models have its place and we are now ready to dive deeper into a discussion of central elements of the certified reduced basis method.

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The Empirical Interpolation Method,that ., and similarly for the righthand side and the output of interest. Unfortunately, this assumption fails for the majority of problems one would like to consider and it is essential to look for ways to overcome this assumption by approximating the non-affine elements in a suitable way.

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Jan S Hesthaven,Gianluigi Rozza,Benjamin StammThe first book to introduce certified reduced basis methods for parametrized partial differentiation equations.Unique focus on both the mathematical aspects and algorithmic elements of the methods.Ess

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