AbstractThis article introduces the splitting method to systems driven by rough paths. The focus is on (nonlinear) partial differential equations with rough noise but we also cover rough differential equations. Applications to stochastic partial differential equations arising in control theory and nonlinear filtering are given
Abstract. A theory of systems of differential equations of the form dyi = j f i j(y)dx i, where the ...
63 pagesThese are lecture notes for a Master 2 course on rough differential equations driven by weak...
With many updates and additional exercises, the second edition of this book continues to provide rea...
This article introduces the splitting method to systems driven by rough paths. The focus is on (nonl...
AbstractThis article introduces the splitting method to systems driven by rough paths. The focus is ...
In this survey chapter we give an overview of recent applications of the splitting method to stochas...
In this survey chapter we give an overview of recent applications of the splitting method to stochas...
AbstractWe study a class of linear first and second order partial differential equations driven by w...
In this survey chapter we give an overview of recent applications of the splitting method to stochas...
This paper aims to provide a systematic approach to the treatment of differential equations of the t...
The purpose of this article is to solve rough differential equations with the theory of regularity ...
We give meaning to differential equations with a rough path term and a Brownian noise term and study...
In this article, we show how the theory of rough paths can be used to provide a notion of solution t...
We consider non-linear parabolic evolution equations of the form and#948;tu=F(t,x,Du,D2u), subject t...
The main motivation behind writing this thesis was to construct numerical methods to approximate sol...
Abstract. A theory of systems of differential equations of the form dyi = j f i j(y)dx i, where the ...
63 pagesThese are lecture notes for a Master 2 course on rough differential equations driven by weak...
With many updates and additional exercises, the second edition of this book continues to provide rea...
This article introduces the splitting method to systems driven by rough paths. The focus is on (nonl...
AbstractThis article introduces the splitting method to systems driven by rough paths. The focus is ...
In this survey chapter we give an overview of recent applications of the splitting method to stochas...
In this survey chapter we give an overview of recent applications of the splitting method to stochas...
AbstractWe study a class of linear first and second order partial differential equations driven by w...
In this survey chapter we give an overview of recent applications of the splitting method to stochas...
This paper aims to provide a systematic approach to the treatment of differential equations of the t...
The purpose of this article is to solve rough differential equations with the theory of regularity ...
We give meaning to differential equations with a rough path term and a Brownian noise term and study...
In this article, we show how the theory of rough paths can be used to provide a notion of solution t...
We consider non-linear parabolic evolution equations of the form and#948;tu=F(t,x,Du,D2u), subject t...
The main motivation behind writing this thesis was to construct numerical methods to approximate sol...
Abstract. A theory of systems of differential equations of the form dyi = j f i j(y)dx i, where the ...
63 pagesThese are lecture notes for a Master 2 course on rough differential equations driven by weak...
With many updates and additional exercises, the second edition of this book continues to provide rea...