High-Order Compact Schemes for Parabolic Problems with Mixed Derivatives in Multiple Space Dimensions
DOI10.1137/140974833zbMath1326.65105arXiv1506.06711OpenAlexW3103325468MaRDI QIDQ2945680
Christof Heuer, Bertram Düring
Publication date: 14 September 2015
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.06711
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) Derivative securities (option pricing, hedging, etc.) (91G20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)
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Cites Work
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- High-order compact finite difference scheme for option pricing in stochastic volatility models
- Iterative methods and high-order difference schemes for 2D elliptic problems with mixed derivative
- Numerical pricing of options using high-order compact finite difference schemes
- Compact finite difference schemes with spectral-like resolution
- Convergence and performance of iterative methods for solving variable coefficient convection-diffusion equation with a fourth-order compact difference scheme
- High-order compact finite difference schemes for option pricing in stochastic volatility models on non-uniform grids
- Extension of high-order compact schemes to time-dependent problems
- Time-Dependent Problems and Difference Methods
- On the Stability of a Compact Finite Difference Scheme for Option Pricing
- A single cell high order scheme for the convection-diffusion equation with variable coefficients
- High-order difference schemes for two-dimensional elliptic equations
- High Order Compact Finite Difference Schemes for a Nonlinear Black-Scholes Equation
- A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
- High‐order compact scheme for the steady stream‐function vorticity equations
- Convergence of a high-order compact finite difference scheme for a nonlinear Black–Scholes equation
- High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows
- Convergence of Fourth Order Compact Difference Schemes for Three‐Dimensional Convection‐Diffusion Equations
- Smoothing of initial data and rates of convergence for parabolic difference equations
- A compact fourth-order finite difference scheme for unsteady viscous incompressible flows.