{"product_id":"9781118024287","title":"Dynamical Systems Method and Applications Theoretical Developments and Numerical Examples","description":"\u003ch1\u003eDynamical Systems Method and Applications\u003c\/h1\u003e\u003ch2\u003eTheoretical Developments and Numerical Examples\u003c\/h2\u003e\u003ch3\u003eAlexander G. Ramm | Nguyen S. Hoang\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Functional Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cb\u003eDemonstrates the application of DSM to solve a broad range of operator equations\u003c\/b\u003e  \u003cp\u003eThe dynamical systems method (DSM) is a powerful computational method for solving operator equations. With this book as their guide, readers will master the application of DSM to solve a variety of linear and nonlinear problems as well as ill-posed and well-posed problems. The authors offer a clear, step-by-step, systematic development of DSM that enables readers to grasp the method's underlying logic and its numerous applications.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eDynamical Systems Method and Applications\u003c\/i\u003e begins with a general introduction and then sets forth the scope of DSM in Part One. Part Two introduces the discrepancy principle, and Part Three offers examples of numerical applications of DSM to solve a broad range of problems in science and engineering. Additional featured topics include:\u003c\/p\u003e \u003cul\u003e \u003cli\u003e \u003cp\u003eGeneral nonlinear operator equations\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eOperators satisfying a spectral assumption\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eNewton-type methods without inversion of the derivative\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eNumerical problems arising in applications\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eStable numerical differentiation\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eStable solution to ill-conditioned linear algebraic systems\u003c\/p\u003e \u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eThroughout the chapters, the authors employ the use of figures and tables to help readers grasp and apply new concepts. Numerical examples offer original theoretical results based on the solution of practical problems involving ill-conditioned linear algebraic systems, and stable differentiation of noisy data.\u003c\/p\u003e \u003cp\u003eWritten by internationally recognized authorities on the topic, \u003ci\u003eDynamical Systems Method and Applications\u003c\/i\u003e is an excellent book for courses on numerical analysis, dynamical systems, operator theory, and applied mathematics at the graduate level. The book also serves as a valuable resource for professionals in the fields of mathematics, physics, and engineering.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e  \u003cb\u003eAlexander G. Ramm\u003c\/b\u003e, PhD, is Professor in the Department of Mathematics at Kansas State University. Dr. Ramm serves as associate editor for several journals.  \u003cp\u003e\u003cb\u003eNguyen S. Hoang\u003c\/b\u003e, PhD, is Visiting Assistant Professor in the Department of Mathematics at the University of Oklahoma. He has published numerous journal articles in the areas of numerical analysis, operator theory, ordinary and partial differential equations, optimization, and inverse and ill-posed problems.\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e20 December 2011\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\u003e9781118024287\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\u003e576\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e33.6\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44311395303564,"sku":"9781118024287","price":161.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781118024287_e187c6de-56d9-40cb-bad2-dc610a7da54a.jpg?v=1780100708","url":"https:\/\/lateknightbooks.com\/products\/9781118024287","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}