Polynomial Chaos Level Points Method for One-Dimensional Uncertain Steep Problems

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An Adaptive Physics-Based Method for the Solution of One-Dimensional Wave Motion Problems

In this paper, an adaptive physics-based method is developed for solving wave motion problems in one dimension (i.e., wave propagation in strings, rods and beams). The solution of the problem includes two main parts. In the first part, after discretization of the domain, a physics-based method is developed considering the conservation of mass and the balance of momentum. In the second part, ada...

متن کامل

Polynomial-chaos-based Numerical Method for the Lqr Problem with Uncertain Parameters in the Formulation

This paper proposes a polynomial chaos based numerical method providing an optimal controller for the linearquadratic regulator (LQR) problem when the parameters in the formulation are uncertain, i.e., a controller minimizing the mean value of the LQR cost function obtained for a certain distribution of the uncertainties which is assumed to be known. The LQR problem is written as an optimality ...

متن کامل

A Generalized Polynomial Chaos - Based Method for Efficient Bayesian Calibration of Uncertain Computational Models

This paper addresses the Bayesian calibration of dynamic models with parametric and structural uncertainties, in particular where the uncertain parameters are unknown/poorly known spatio-temporally varying subsystem models. Independent stationary Gaussian processes with uncertain hyper-parameters describe uncertainties of the model structure and parameters while Karhunnen-Loeve expansion is ado...

متن کامل

Estimating the Region of Attraction for Uncertain Polynomial Systems Using Polynomial Chaos Functions and Sum of Squares Method

We present a general formulation for estimation of the region of attraction (ROA) for nonlinear systems with parametric uncertainties using a combination of the polynomial chaos expansion (PCE) theorem and the sum of squares (SOS) method. The uncertain parameters in the nonlinear system are treated as random variables with a probability distribution. First, the decomposition of the uncertain no...

متن کامل

On Hammersley’s Method for One-Dimensional Covering Problems

I first met John Hammersley in Oxford during the years 1949–1952 when I held an ICI Fellowship at the Clarendon Laboratory. David Kendall used to run (with the aid of Pat Moran) a regular probability seminar in which he encouraged research workers in widely differing disciplines to participate. Hammersley then held an appointment in a department with the intriguing title Lectureship in the Desi...

متن کامل

ذخیره 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: Journal of Scientific Computing

سال: 2019

ISSN: 0885-7474,1573-7691

DOI: 10.1007/s10915-019-01069-z