Proper orthogonal decomposition method for Schrödinger equation
نویسندگان
چکیده
منابع مشابه
Proper Orthogonal Decomposition Closure Models for Fluid Flows: Burgers Equation
This paper puts forth several closure models for the proper orthogonal decomposition (POD) reduced order modeling of fluid flows. These new closure models, together with other standard closure models, are investigated in the numerical simulation of the Burgers equation. This simplified setting represents just the first step in the investigation of the new closure models. It allows a thorough as...
متن کاملArtificial viscosity proper orthogonal decomposition
We introduce improved reduced-order models for turbulent flows. These models are inspired from successful methodologies used in large eddy simulation, such as artificial viscosity, applied to standardmodels created by proper orthogonal decomposition of flows coupled with Galerkin projection. As a first step in the analysis and testing of our new methodology, we use the Burgers equation with a s...
متن کاملProper orthogonal decomposition & kriging strategies for design
Future Work Conclusions The aim of the following research is to therefore remove this obstacle to the application of kriging whilst developing a strategy for use at higher dimensions. The goal of an initial investigation was therefore to determine if these hyperparameters should be tuned after every update, and to what degree they should be tuned, in order for the model to remain effective. Thi...
متن کاملProper Orthogonal Decomposition for Optimality Systems
Proper orthogonal decomposition (POD) is a powerful technique for model reduction of non–linear systems. It is based on a Galerkin type discretization with basis elements created from the dynamical system itself. In the context of optimal control this approach may suffer from the fact that the basis elements are computed from a reference trajectory containing features which are quite different ...
متن کاملParameter Identification in Cardiac Electrophysiology Using Proper Orthogonal Decomposition Method
We consider the problem of estimating some parameters (like ionic models or parameters involved in the initial stimulation) of a model of electrocardiograms (ECG) from the data of the Einthoven leads. This problem can be viewed as a first attempt to identify or to locate a pathology. The direct model is based on the bidomain equations in the heart and a Poisson equation in the torso and. To kee...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Lietuvos matematikos rinkinys
سال: 2013
ISSN: 2335-898X,0132-2818
DOI: 10.15388/lmr.b.2013.01