Motivated by path-integral numerical solutions of diffusion processes, PATHINT, we present a new tree algorithm, PATHTREE, which permits extremely fast accurate computation of probability distributions of a large class of general nonlinear diffusion processes

NOTE: This is a description of the abstract and is not the actual abstract. In-depth modeling of three quite different multivariate nonlinear multiplicative Gaussian-Markovian systems have yielded some insights into the generic benefits to be obtained by application of adaptive simulated...

A modern calculus of multivariate nonlinear multiplicative Gaussian-Markovian systems provides models of many complex systems faithful to their nature, e.g., by not prematurely applying quasi linear approximations for the sole purpose of easing analysis. To handle these complex algebraic...