Îïèñàíèå: This book presents a unifiedapproach to studying the stability of both elliptic Cauchy problems and selectedinverse problems. Based on elementary Carleman inequalities, it establishesthree-ball inequalities, which are the key to deriving logarithmic stabilityestimates for elliptic Cauchy problems and are also useful in proving stabilityestimates for certain elliptic inverse problems. The book presents three inverseproblems, the first of which consists in determining the surface impedance ofan obstacle from the far field pattern. The second problem investigates the detectionof corrosion by electric measurement, while the third concerns thedetermination of an attenuation coefficient from internal data, which ismotivated by a problem encountered in biomedical imaging.
Îïèñàíèå: � � This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods.
Îïèñàíèå: This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions.
Àâòîð: Eric Gautier and Pierre Alquier Íàçâàíèå: Inverse problems and high-dimensional estimation ISBN: 3642199887 ISBN-13(EAN): 9783642199882 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 15372.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: The product of a high-flying summer school in Paris in 2009, this volume synthesises the state of the art on ill-posed statistical inverse problems and high-dimensional estimation and explores the ways these techniques can be applied to economics.
Àâòîð: Llibre, Jaume Ramirez, Fellow In Strategy And Director Of The Oxford Scenarios Programme Rafael (department Of Management And Human Resources, Hec-par Íàçâàíèå: Inverse problems in ordinary differential equations and applications ISBN: 3319263374 ISBN-13(EAN): 9783319263373 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 13275.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties.
