The study of Stochastic Partial Differential Equations (SPDEs) occupies a central position in the modern analysis of physical systems where randomness and uncertainty play crucial roles. By ...

This is a preview. Log in through your library . Abstract It is frequently the case that a white-noise-driven parabolic and/or hyperbolic stochastic partial differential equation (SPDE) can have ...

Abstract This paper deals with a class of stochastic partial functional differential equations with finite delay. We give some sufficient conditions to guarantee the existence of a unique random ...

Whether it’s physical phenomena, share prices or climate models – many dynamic processes in our world can be described mathematically with the aid of partial differential equations. Thanks to ...

This paper presents a novel and direct approach to solving boundary- and final-value problems, corresponding to barrier options, using forward pathwise deep learning and forward–backward stochastic ...

Stochastic processes are at the center of probability theory, both from a theoretical and an applied viewpoint. Stochastic processes have applications in many disciplines such as physics, computer ...

In this paper, we consider the numerical valuation of swing options in electricity markets based on a two-factor model. These kinds of contracts are modeled as path dependent options with multiple ...

Longtime university mathematics professor Peter Kotelenez, an expert in stochastic differential equations, died Wednesday after a long battle with cancer. He was 69. A member of the Case Western ...

Many dynamic processes can be described mathematically with the aid of stochastic partial differential equations. Scientists have found a new method which helps to solve a certain class of such ...