{"product_id":"dynamical-systems-method-and-applications-9781118024287","title":"Dynamical Systems Method and Applications","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\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 \u0026lt;\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e“The book is well organized and presents the DSM method to solve a broad range of operator equations. Suitable for senior under graduate and under graduate students as well as practical engineers and researchers interested in dynamical systems methods and application for operator equations”.  (\u003ci\u003eZentralblatt MATH\u003c\/i\u003e, 1 December 2012)\u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cb\u003ePART I\u003c\/b\u003e  \u003cp\u003e1 Introduction 3\u003c\/p\u003e \u003cp\u003e2 Ill-posed problems 11\u003c\/p\u003e \u003cp\u003e3 DSM for well-posed problems 57\u003c\/p\u003e \u003cp\u003e4 DSM and linear ill-posed problems 71\u003c\/p\u003e \u003cp\u003e5 Some inequalities 93\u003c\/p\u003e \u003cp\u003e6 DSM for monotone operators 133\u003c\/p\u003e \u003cp\u003e7 DSM for general nonlinear operator equations 145\u003c\/p\u003e \u003cp\u003e8 DSM for operators satisfying a spectral assumption 155\u003c\/p\u003e \u003cp\u003e9 DSM in Banach spaces 161\u003c\/p\u003e \u003cp\u003e10 DSM and Newton-type methods without inversion of the derivative 169\u003c\/p\u003e \u003cp\u003e11 DSM and unbounded operators 177\u003c\/p\u003e \u003cp\u003e12 DSM and nonsmooth operators 181\u003c\/p\u003e \u003cp\u003e13 DSM as a theoretical tool 195\u003c\/p\u003e \u003cp\u003e14 DSM and iterative methods 201\u003c\/p\u003e \u003cp\u003e15 Numerical problems arising in applications 213\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART II\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16 Solving linear operator equations by a Newton-type DSM 255\u003c\/p\u003e \u003cp\u003e17 DSM of gradient type for solving linear operator equations 269\u003c\/p\u003e \u003cp\u003e18 DSM for solving linear equations with finite-rank operators 281\u003c\/p\u003e \u003cp\u003e19 A discrepancy principle for equations with monotone continuous operators 295\u003c\/p\u003e \u003cp\u003e20 DSM of Newton-type for solving operator equations with minimal smoothness assumptions 307\u003c\/p\u003e \u003cp\u003e21 DSM of gradient type 347\u003c\/p\u003e \u003cp\u003e22 DSM of simple iteration type 373\u003c\/p\u003e \u003cp\u003e23 DSM for solving nonlinear operator equations in Banach spaces 409\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePART III\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e24 Solving linear operator equations by the DSM 423\u003c\/p\u003e \u003cp\u003e25 Stable solutions of Hammerstein-type integral equations 441\u003c\/p\u003e \u003cp\u003e26 Inversion of the Laplace transform from the real axis using an adaptive iterative method 455\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406822220119,"sku":"9781118024287","price":121.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118024287.jpg?v=1730497233","url":"https:\/\/bookcurl.com\/products\/dynamical-systems-method-and-applications-9781118024287","provider":"Book Curl","version":"1.0","type":"link"}