Functional Analysis Notes

Some notes on convergence of homotopy based methods for functional equations

Although homotopy-based methods, namely homotopy analysis method andhomotopy perturbation method, have largely been used to solve functionalequations, there are still serious questions on the convergence issue of thesemethods. Some authors have tried to prove convergence of these methods, butthe researchers in this article indicate that some of those discussions are faulty.Here, after criticizi...

Some notes on convergence of homotopy based methods for functional equations

Although homotopy-based methods, namely homotopy analysis method andhomotopy perturbation method, have largely been used to solve functionalequations, there are still serious questions on the convergence issue of thesemethods. Some authors have tried to prove convergence of these methods, butthe researchers in this article indicate that some of those discussions are faulty.Here, after criticizi...

The Study of Thermodynamic Surface and Contact Characteristics by a New Method of Simultaneous Thermooptical Analysis (TECHNICAL NOTES).

A device is described for studying thermodynamic and surface characteristics of metals as well as for differential thermal analysis of materials. A promise its shown is application for a multiple examination of high-temperature capillarity in a number of technological processes involving the formation or contribution of a liquid phase.

Functional Analysis Lecture Notes: Adjoints in Hilbert Spaces

Medical students' Study Resources: Books or Notes

Introduction: Given the importance and impact of test resources on medical student’ learning, this study aimed to assess the time devoted to study books and notes during the semester and exam time. Methods: This descriptive-analytic study was conducted on all medical students (120) who were passing internship period at Isfahan University of medical sciences in 2011. Devoted time to study books...

Numerical Functional Analysis

These notes are in development and only for internal use at the University of Mancheser. For questions, comments or typos please e-mail [email protected]. The following books were used for the preparation of these lecture notes. • C. Brenner and L.R. Scott, The mathematical theory of finite element methods, Springer • C. Gasquet and P. Witomski, Fourier Analysis and Applications, Spr...