Jan Ubøe – författare

The first edition of Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach, gave a comprehensive introduction to SPDEs. In this, the second edition, the authors build on the theory of SPDEs driven by space-time Brownian motion, or more generally, space-time Levy process noise. Applications of the theory are emphasized throughout. The stochastic pressure equation for fluid flow in porous media is treated, as are applications to finance. Graduate students in pure and applied mathematics as well as researchers in SPDEs, physics, and engineering will find this introduction indispensible. Useful exercises are collected at the end of each chapter.

This textbook discusses central statistical concepts and their use in business and economics. Accordingly, the book predominantly focuses on exercises, several of which draw on simple applications of non-linear theory. The book bridges the gap between theory and applications, with most exercises formulated in an economic context.