Results 171 to 180 of about 1,345 (197)
Some of the next articles are maybe not open access.
A probabilistic white‐box model for PDE constrained inverse problems
PAMM, 2018AbstractInstead of employing deterministic solvers in a black‐box fashion, we seek to address the inherent challenges of uncertainty quantification by restating the solution of a PDE as a problem of probabilistic inference. In doing so, state variables are treated as random fields, constrained or mutually entangled by underlying physical laws.
Maximilian Koschade +1 more
openaire +1 more source
A multilevel algorithm for inverse problems with elliptic PDE constraints
Inverse Problems, 2008We present a multilevel algorithm for the solution of a source identification problem in which the forward problem is an elliptic partial differential equation on the 2D unit box. The Hessian corresponds to a Tikhonov-regularized first-kind Fredholm equation.
George Biros, Günay Dogan
openaire +1 more source
Stochastic Algorithms for Inverse Problems Involving PDEs and many Measurements
SIAM Journal on Scientific Computing, 2014Inverse problems involving systems of partial differential equations (PDEs) can be very expensive to solve numerically. This is so especially when many experiments, involving different combinations of sources and receivers, are employed in order to obtain reconstructions of acceptable quality.
Roosta-Khorasani, Farbod +2 more
openaire +2 more sources
Inverse problems for DEs and PDEs using the collage theorem: a survey
International Journal of Applied Nonlinear Science, 2013In this paper, we present several methods based on the collage theorem and its extensions for solving inverse problems for initial value and boundary value problems. Several numerical examples show the quality of this approach and its stability. At the end we present an application to the Euler-Bernoulli beam equation with boundary measurements.
H. Kunze +3 more
openaire +1 more source
Anisotropic variational models and PDEs for inverse imaging problems
2019In this thesis we study new anisotropic variational regularisers and partial differential equations (PDEs) for solving inverse imaging problems that arise in a variety of real-world applications. Firstly, we introduce a new anisotropic higher-order total directional variation regulariser.
openaire +1 more source
Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
exaly
Oral complications of cancer and cancer therapy
Ca-A Cancer Journal for Clinicians, 2012Joel B Epstein +2 more
exaly