On Kolmogorov equations for anisotropic multivariate Lévy processes
From MaRDI portal
Publication:650769
DOI10.1007/s00780-009-0108-xzbMath1226.91092OpenAlexW1995653720MaRDI QIDQ650769
Christoph Schwab, Nils Reich, Christoph Winter
Publication date: 27 November 2011
Published in: Finance and Stochastics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/20.500.11850/27293
Integro-partial differential equations (45K05) Financial applications of other theories (91G80) Derivative securities (option pricing, hedging, etc.) (91G20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items
hp-DGFEM FOR KOLMOGOROV–FOKKER–PLANCK EQUATIONS OF MULTIVARIATE LÉVY PROCESSES ⋮ Low-rank tensor structure of linear diffusion operators in the TT and QTT formats ⋮ An Error Analysis of a Finite Element Method with IMEX-Time Semidiscretizations for Some Partial Integro-differential Inequalities Arising in the Pricing of American Options ⋮ A finite elements approach for spread contract valuation via associated two-dimensional PIDE ⋮ Partial Differential Equation Pricing of Contingent Claims under Stochastic Correlation ⋮ On the pricing of multi-asset options under jump-diffusion processes using meshfree moving least-squares approximation ⋮ NATURAL GAS-FIRED POWER PLANTS VALUATION AND OPTIMIZATION UNDER LÉVY COPULAS AND REGIME SWITCHING ⋮ Computable error estimates of a finite difference scheme for option pricing in exponential Lévy models ⋮ Wavelet compression of anisotropic integrodifferential operators on sparse tensor product spaces ⋮ A Convergent Difference Scheme for a Class of Partial Integro-Differential Equations Modeling Pricing under Uncertainty ⋮ Numerical Analysis of Additive, Lévy and Feller Processes with Applications to Option Pricing
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence of numerical schemes for viscosity solutions to integro-differential degenerate parabolic problems arising in financial theory
- Gaussian approximation of multivariate Lévy processes with applications to simulation of tempered stable processes
- Fast and accurate pricing of barrier options under Lévy processes
- The fundamental theorem of asset pricing for unbounded stochastic processes
- On the range of options prices
- Barrier options and touch-and-out options under regular Lévy processes of exponential type
- Integro-differential equations for option prices in exponential Lévy models
- Characterization of dependence of multidimensional Lévy processes using Lévy copulas
- Problèmes unilateraux
- Non-symmetric translation invariant Dirichlet forms
- Approximations of small jumps of Lévy processes with a view towards simulation
- Wavelet Galerkin pricing of American options on Lévy driven assets
- Viscosity Solutions of Hamilton-Jacobi Equations
- Optimal Control with State-Space Constraint. II
- Equqtions D'Hamilton-Jacobi Du Premier Ordre Avec Termes Intégro-Différentiels
- User’s guide to viscosity solutions of second order partial differential equations
- A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
- Exponential Hedging and Entropic Penalties
- Financial Modelling with Jump Processes
- Fast deterministic pricing of options on Lévy driven assets
- Numerical solution of parabolic equations in high dimensions
- ANISOTROPIC STABLE LEVY COPULA PROCESSES — ANALYTICAL AND NUMERICAL ASPECTS
- A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models
- Optimal stopping, free boundary, and American option in a jump-diffusion model