"Regularization Methods for Ill-Posed Problems" presents current theories and methods for obtaining approximate solutions of basic classes of incorrectly posed problems. The book provides simple conditions of optimality and the optimality of the order of regular methods for solving a wide class of u
Novel regularization methods for ill-posed problems in Hilbert and Banach spaces
β Scribed by Bleyer, Ismael Rodrigo; LeitΓ£o, Antonio
- Publisher
- IMPA;Brasil
- Year
- 2015
- Tongue
- English
- Leaves
- 135
- Series
- PublicacΜ§oΜes matemaΜticas
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Subjects
Banach spaces -- Congresses;Differential equations, Partial -- Improperly posed problems -- Congresses;Inverse problems (Differential equations) -- Congresses;Iterative methods (Mathematics) -- Congresses;Banach spaces;Differential equations, Partial -- Improperly posed problems;Inverse problems (Differential equations);Iterative methods (Mathematics)
π SIMILAR VOLUMES
<p>Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Inverse problems arise in a large variety of applications ranging from medical imaging and non-destructive testing via finance to systems biology. Many of these prob
<p>Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a specialΒ numerical treatment. This book presents regularization schemes whi