{"product_id":"model-reduction-and-approximation-theory-and-algorithms-9781611974812","title":"Model Reduction and Approximation: Theory and Algorithms","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eMany physical, chemical, biomedical, and technical processes can be described by partial differential equations or dynamical systems. In spite of increasing computational capacities, many problems are of such high complexity that they are solvable only with severe simplifications, and the design of efficient numerical schemes remains a central research challenge. This book presents a tutorial introduction to recent developments in mathematical methods for model reduction and approximation of complex systems.\u003cbr\u003e\u003cbr\u003e\u003cem\u003eModel Reduction and Approximation: Theory and Algorithms\u003c\/em\u003e:\u003cul\u003e\n\u003cli\u003econtains three parts that cover (I) sampling-based methods, such as the reduced basis method and proper orthogonal decomposition, (II) approximation of high-dimensional problems by low-rank tensor techniques, and (III) system-theoretic methods, such as balanced truncation, interpolatory methods, and the Loewner framework\u003c\/li\u003e\n\u003cli\u003eis tutorial in nature, giving an accessible introduction to state-of-the-art model reduction and approximation methods; and\u003c\/li\u003e\n\u003cli\u003ecovers a wide range of methods drawn from typically distinct communities (sampling based, tensor based, system-theoretic).\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003ePreface\u003c\/li\u003e\n\u003cli\u003ePart I: Sampling-Based Methods\u003c\/li\u003e\n\u003cli\u003eChapter 1: POD for Linear-Quadratic Optimal Control\u003c\/li\u003e\n\u003cli\u003eChapter 2: A Tutorial on RB-Methods\u003c\/li\u003e\n\u003cli\u003eChapter 3: The Theoretical Foundation of Reduced Basis Methods\u003c\/li\u003e\n\u003cli\u003ePart II: Tensor-Based Methods\u003c\/li\u003e\n\u003cli\u003eChapter 4: Low-Rank Methods for High-Dimensional Approximation\u003c\/li\u003e\n\u003cli\u003eChapter 5: Model Reduction for High-Dimensional Parametric Problems by Tensor Techniques\u003c\/li\u003e\n\u003cli\u003ePart III: System-Theoretic Methods\u003c\/li\u003e\n\u003cli\u003eChapter 6: Model Order Reduction Based on Systems Building\u003c\/li\u003e\n\u003cli\u003eChapter 7: Interpolatory Model Reduction\u003c\/li\u003e\n\u003cli\u003eChapter 8: The Loewner Framework for Model Reduction\u003c\/li\u003e\n\u003cli\u003eChapter 9: Comparison of Methods for PMOR\u003c\/li\u003e\n\u003cli\u003eIndex.\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Society for Industrial \u0026 Applied Mathematics,U.S.","offers":[{"title":"Default Title","offer_id":52091064746327,"sku":"9781611974812","price":84.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781611974812.jpg?v=1762274090","url":"https:\/\/bookcurl.com\/products\/model-reduction-and-approximation-theory-and-algorithms-9781611974812","provider":"Book Curl","version":"1.0","type":"link"}