TY - BOOK ID - 14223201 TI - Certified reduced basis methods for parametrized partial differential equations AU - Hesthaven, Jan S. AU - Rozza, Gianluigi. AU - Stamm, Benjamin. PY - 2016 SN - 3319224697 3319224700 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Mathematics - General KW - Mathematics KW - Physical Sciences & Mathematics KW - Differential equations, Partial. KW - Partial differential equations KW - Computer science KW - Differential equations, partial. KW - Engineering mathematics. KW - Mathematics. KW - Computational Mathematics and Numerical Analysis. KW - Partial Differential Equations. KW - Mathematical and Computational Engineering. KW - Theoretical, Mathematical and Computational Physics. KW - Applications of Mathematics. KW - Math KW - Science KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Computer mathematics KW - Discrete mathematics KW - Electronic data processing KW - Computer mathematics. KW - Partial differential equations. KW - Applied mathematics. KW - Mathematical physics. KW - Physical mathematics KW - Physics UR - https://www.unicat.be/uniCat?func=search&query=sysid:14223201 AB - This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples. ER -