A stable time-dependent mesh method for generalized credit rating migration problem
DOI10.1007/s44198-023-00157-xzbMath1529.91071OpenAlexW4389681825MaRDI QIDQ6140496
Publication date: 22 January 2024
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s44198-023-00157-x
stabilitydiffusionconvergencewave propagationdegenerate partial differential equationsadaptive moving mesh
Numerical methods (including Monte Carlo methods) (91G60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Credit risk (91G40)
Cites Work
- Unnamed Item
- Unnamed Item
- The Pricing of Options and Corporate Liabilities
- Fitted finite volume method for a generalized Black-Scholes equation transformed on finite interval
- A robust and accurate finite difference method for a generalized Black-Scholes equation
- Adaptive moving mesh methods
- Numerical solution of linear and nonlinear Black-Scholes option pricing equations
- Variational mesh adaptation. II: Error estimates and monitor functions
- A cubic B-spline collocation method for a numerical solution of the generalized Black-Scholes equation
- Computational methods for quantitative finance. Finite element methods for derivative pricing
- Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions
- Stable determination of an elastic medium scatterer by a single far-field measurement and beyond
- A sixth order numerical method and its convergence for generalized Black-Scholes PDE
- Numerical solution of generalized Black-Scholes model
- An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension
- Convergence and stability of stochastic theta method for nonlinear stochastic differential equations with piecewise continuous arguments
- On a Moving Mesh Method for Solving Patial Integro-differential Equations
- Adaptivity with moving grids
- Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
- Calibration of the Local Volatility in a Generalized Black--Scholes Model Using Tikhonov Regularization
- Convergence Rate of an Explicit Finite Difference Scheme for a Credit Rating Migration Problem
- A novel fitted finite volume method for the Black-Scholes equation governing option pricing
- A Moving Mesh Method Based on the Geometric Conservation Law
- Moving Mesh Methods for Problems with Blow-Up
- Rigorous Derivation from the Water Waves Equations of Some Full Dispersion Shallow Water Models
- An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh
- Strong convergence of the tamed Euler method for nonlinear hybrid stochastic differential equations with piecewise continuous arguments
This page was built for publication: A stable time-dependent mesh method for generalized credit rating migration problem