scientific article; zbMATH DE number 7099539

zbMath1438.65148MaRDI QIDQ5230864

Muhammad Asif Gondal, Asima Razzaque, Inayatur Rehman

Publication date: 29 August 2019

Full work available at URL: https://www.ejpam.com/index.php/ejpam/article/view/3423

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zbMATH Keywords

integro-differential equationsRunge-Kutta methodsexponential integrators

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Convergence of numerical schemes for viscosity solutions to integro-differential degenerate parabolic problems arising in financial theory
• Exponential time integration and Chebychev discretisation schemes for fast pricing of options
• Exponential Rosenbrock integrators for option pricing
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Exponential Runge-Kutta methods for parabolic problems.
• Numerical valuation of options with jumps in the underlying
• Comparative performance of exponential, implicit, and explicit integrators for stiff systems of ODEs
• Further development of efficient and accurate time integration schemes for meteorological models
• Exponential collocation methods for conservative or dissipative systems
• Exponential integrators
• Semidiscretization in Time for Parabolic Problems
• Non-smooth data error estimates for linearly implicit Runge-Kutta methods
• Option pricing when underlying stock returns are discontinuous
• A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models
• Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
• Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: Nonsmooth-data error estimates and applications to long-time behaviour

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