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Partial differential equations --- Numerical analysis --- Mathematical physics --- Computer. Automation --- differentiaalvergelijkingen --- wiskunde --- algoritmen --- fysica --- numerieke analyse

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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.

Partial differential equations --- Mathematics --- Mathematical physics --- Physics --- Applied physical engineering --- Engineering sciences. Technology --- Computer. Automation --- differentiaalvergelijkingen --- analyse (wiskunde) --- toegepaste wiskunde --- theoretische fysica --- computers --- economie --- informatica --- wiskunde --- ingenieurswetenschappen --- fysica

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This book features a selection of high-quality papers chosen from the best presentations at the International Conference on Spectral and High-Order Methods (2016), offering an overview of the depth and breadth of the activities within this important research area. The carefully reviewed papers provide a snapshot of the state of the art, while the extensive bibliography helps initiate new research directions.

Partial differential equations --- Differential equations --- Mathematics --- Classical mechanics. Field theory --- Fluid mechanics --- Solid state physics --- Hydraulic energy --- Applied physical engineering --- Engineering sciences. Technology --- Computer. Automation --- differentiaalvergelijkingen --- ICT (informatie- en communicatietechnieken) --- toegepaste mechanica --- economie --- informatica --- externe fixatie (geneeskunde --- wiskunde --- ingenieurswetenschappen --- mechanica --- hydraulica --- vloeistoffen