A note on the Ritz method with an application to overtone stellar pulsation theory

A Short Theory of the Rayleigh-Ritz Method

We present some new error estimates for the eigenvalues and eigenfunctions obtained by the Rayleigh-Ritz method, the common variational method to solve eigenproblems. The errors are bounded in terms of the error of the best approximation of the eigenfunction under consideration by functions in the ansatz space. In contrast to the classical theory, the approximation error of eigenfunctions other...

The Welfare Cost of Inflation: Theory with an Application of Generalized Method of Moments (GMM) to Ira

8 - Stellar Pulsation and Oscillation

That some stars vary in brightness has been known from time immemorial. That this variation is the result of intrinsic changes in the star itself has been known for less than 100 years and the causes of those variations have been understood for less than 30 years. It is not a simple matter to distinguish the light variations resulting from eclipses by a companion from those caused by physical c...

a paradigm shift away from method-wise teaching to strategy-wise teaching: an investigation of reconstructive strategy versus communicative strategy

چکیده: هدف اصلی این مطالعه ی توصیفی تحقیقی در حقیقت تلاشی پساروش-گرا به منظور رسیدن به نتیجه ای منطقی در انتخاب مناسبترین راهکار آموزشی بر گرفته از چارچوب راهبردی مطرح شده توسط والدمر مارتن بوده که به بهترین شکل سازگار و مناسب با سامانه ی آموزشی ایران باشد. از این رو، دو راهکار آموزشی، راهکار ارتباطی و راهکار بازساختی، برای تحقیق و بررسی انتخاب شدند. صریحاً اینکه، در راستای هدف اصلی این پژوهش، ر...

a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot

abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...