The harmonic balance method is used in most current commercial RF simulation tools. This is due to the fact that it has certain advantages over other common methods used in SPICE, namely (modified) nodal analysis (MNA), which make it better suited to simulate stiff problems and circuits containing transmission lines, nonlinearities and dispersive effects. In this project, the harmonic balance a...

| Stochastic (Monte Carlo) solutions of the general balance ordinary diierential equations for measures are considered. For this purpose a wide class of n-particle processes is studied from the viewpoint of the main terms of asymptotical (n ! 1) bias and variance for the corresponding estimates. Boltzmann-like and linear equations are considered as the particular cases of balance equations, sev...

The research area of nonlinear partial differential equations (NLPDEs) has been very active for the past few decades. The study of the exact solutions of a nonlinear evolution equation (NLEE) plays an important role to understand the nonlinear physical phenomena which are described by these equations. In recent years several powerful and efficient methods have been developed for finding analyti...

Theoretical considerations and empirical evidence indicate a linear relationship between the land surface temperature (Ts) and the corresponding evapotranspiration (ET) rate under spatially constant wind and net energy conditions at a homogeneous vegetated surface. Such a relationship lies at the core of the popular surface energy balance algorithm (SEBAL); the satellite-based energy balance ap...

Carothers and Flory established the fundamental principles of homogeneous two-component polycondensation reactions by which a variety of commonly used polymers such as polyesters and polyamides (nylons) are synthesized even now. One of the most critical factors to achieve a high degree of polymerization is a strict adherence of stoichiometric balance of the two components. An imbalanced ratio o...