Numerical methods for the Lotka–McKendrick's 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.

Numerical Methods for the Chemical Master Equation

Numerical Methods for the Landau-Lifshitz Equation

We discuss numerical schemes for various forms of the Landau–Lifshitz equation. A new simple projection method is introduced and is shown to be unconditionally stable. The advantages over other schemes are also demonstrated numerically.

Parallel Numerical Methods for the CMKdV Equation

The class of complex modified Korteweg-de Vries (CMKdV) equations has many applications. One form of the CMKdV equation has been used to create models for the nonlinear evolution of plasma waves [9], for the propagation of transverse waves in a molecular chain [7]. Another form of the CMKdV equation has been used for the traveling-wave and for a double homoclinic orbit [8]. In this paper we int...

Numerical Methods for the Chemical Master Equation

The numerical solution of chemical reactions described at the meso-scale is the topic of this thesis. This description, the master equation of chemical reactions, is an accurate model of reactions where stochastic effects are crucial for explaining certain effects observed in real life. In particular, this general equation is needed when studying processes inside living cells where other macro-...