{"product_id":"9780470408551","title":"General Linear Methods for Ordinary Differential Equations","description":"\u003ch1\u003eGeneral Linear Methods for Ordinary Differential Equations\u003c\/h1\u003e\u003ch3\u003eZdzislaw Jackiewicz\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Differential Equations \/ General\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eLearn to develop numerical methods for ordinary differential equations  \u003cp\u003eGeneral Linear Methods for Ordinary Differential Equations fills a gap in the existing literature by presenting a comprehensive and up-to-date collection of recent advances and developments in the field. This book provides modern coverage of the theory, construction, and implementation of both classical and modern general linear methods for solving ordinary differential equations as they apply to a variety of related areas, including mathematics, applied science, and engineering.\u003c\/p\u003e \u003cp\u003eThe author provides the theoretical foundation for understanding basic concepts and presents a short introduction to ordinary differential equations that encompasses the related concepts of existence and uniqueness theory, stability theory, and stiff differential equations and systems. In addition, a thorough presentation of general linear methods explores relevant subtopics such as pre-consistency, consistency, stage-consistency, zero stability, convergence, order- and stage-order conditions, local discretization error, and linear stability theory. Subsequent chapters feature coverage of:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eDifferential equations and systems\u003c\/li\u003e \u003cli\u003e \u003cp\u003eIntroduction to general linear methods (GLMs)\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eDiagonally implicit multistage integration methods (DIMSIMs)\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eImplementation of DIMSIMs\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eTwo-step Runge-Kutta (TSRK) methods\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eImplementation of TSRK methods\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eGLMs with inherent Runge-Kutta stability (IRKS)\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eImplementation of GLMs with IRKS\u003c\/p\u003e \u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eGeneral Linear Methods for Ordinary Differential Equations is an excellent book for courses on numerical ordinary differential equations at the upper-undergraduate and graduate levels. It is also a useful reference for academic and research professionals in the fields of computational and applied mathematics, computational physics, civil and chemical engineering, chemistry, and the life sciences.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e \u003cb\u003eZDZISLAW JACKIEWICZ, PhD\u003c\/b\u003e, is Professor in the Department of Mathematics at Arizona State University. He has written over 100 published articles in his areas of research interest, which include numerical analysis of ordinary differential equations, numerical solution of functional differential equations, and waveform relaxation methods for differential systems. Dr. Jackiewicz has written his own software on DIMSIMs and TSRK based on both explicit and implicit general linear methods, which is utilized throughout this book.\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e20 July 2009\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9780470408551\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e504\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e28.0\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44310768844940,"sku":"9780470408551","price":154.76,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780470408551_ed68d804-e37b-40bc-bfd9-d9d5eddc4bf5.jpg?v=1780161541","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780470408551","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}