An analysis of numerical methods for solving the particle trajectory equation

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

The use of iterative methods for solving Black-Scholes equation

Efficient particle . methods for solving the Boltzmann equation

A new particle simulation method for solving the Boltzmann equation is presented and tested. This method holds a significant computational efficiency advantage for low-signal flows compared to traditional particle methods such as the Direct Simulation Monte Carlo (DSMC). More specifically, the proposed algorithmn can efficiently simulate arbitrarily small deviations from equilibrium (e.g. low s...

Application of Iterative Methods for Solving General Riccati Equation

An Evaluation of Selected Numerical Methods for Solving the Population Balance Equation

The capability of high order methods to solve the population balance equation is studied in this work. The Least Square Method, the Nyström Method and a low order version of the Nyström method, called the Discrete Method, are applied to a general population balance equation containing breakage terms only. In order to perform a rigorous error analysis, analytical solutions are used. In general t...