Factorising brownian motion at two boundaries ; an example
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Paul McGill (1989)
Annales de l'I.H.P. Probabilités et statistiques
Richard Rochberg, Mitchell Taibleson (1991)
Publicacions Matemàtiques
Lotov, V.I., Orlova, N.G. (2005)
Sibirskij Matematicheskij Zhurnal
Ana-Maria Matache, Tobias Von Petersdorff, Christoph Schwab (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Arbitrage-free prices of European contracts on risky assets whose log-returns are modelled by Lévy processes satisfy a parabolic partial integro-differential equation (PIDE) . This PIDE is localized to bounded domains and the error due to this localization is estimated. The localized PIDE is discretized by the -scheme in time and a wavelet Galerkin method with degrees of freedom in log-price space. The dense matrix for can be replaced by a sparse matrix in the wavelet basis, and the linear...
Ana-Maria Matache, Tobias von Petersdorff, Christoph Schwab (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Arbitrage-free prices u of European contracts on risky assets whose log-returns are modelled by Lévy processes satisfy a parabolic partial integro-differential equation (PIDE) . This PIDE is localized to bounded domains and the error due to this localization is estimated. The localized PIDE is discretized by the θ-scheme in time and a wavelet Galerkin method with N degrees of freedom in log-price space. The dense matrix for can be replaced by a sparse matrix in the wavelet basis, and the...
Davar Khoshnevisan, Zhan Shi (2000)
Séminaire de probabilités de Strasbourg
Kazuaki Taira, Angelo Favini, Silvia Romanelli (2001)
Studia Mathematica
This paper is devoted to the functional analytic approach to the problem of construction of Feller semigroups with Wentzell boundary conditions in the characteristic case. Our results may be stated as follows: We can construct Feller semigroups corresponding to a diffusion phenomenon including absorption, reflection, viscosity, diffusion along the boundary and jump at each point of the boundary.
Niels Jacob (1992)
Forum mathematicum
Kristian P. Evans, Niels Jacob (2007)
Revista Matemática Complutense
Endre Csáki, Miklós Csörgö, Qi-Man Shao (1992)
Annales de l'I.H.P. Probabilités et statistiques
Tomasz Byczkowski, Jacek Małecki, Tomasz Żak (2010)
Colloquium Mathematicae
We apply the Feynman-Kac formula to compute the λ-Poisson kernels and λ-Green functions for half-spaces or balls in hyperbolic spaces. We present known results in a unified way and also provide new formulas for the λ-Poisson kernels and λ-Green functions of half-spaces in ℍⁿ and for balls in real and complex hyperbolic spaces.
Takeda, Masayoshi (2010)
Electronic Communications in Probability [electronic only]
Machida, Motoya (2002)
Electronic Communications in Probability [electronic only]
G. Mazziotto, J. Szpirglas (1981)
Annales scientifiques de l'Université de Clermont. Mathématiques
Thierry Jeulin, Marc Yor (1990)
Séminaire de probabilités de Strasbourg
Christophe Leuridan (2002)
Séminaire de probabilités de Strasbourg
Marc Malric (1990)
Annales de l'I.H.P. Probabilités et statistiques
Marc Malric (2001)
Séminaire de probabilités de Strasbourg
B. Oksendal (1984)
Inventiones mathematicae
Hara, Keisuke (2004)
Electronic Communications in Probability [electronic only]
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