Numerical inverse Laplace transform for convection-diffusion equations

DOI10.1090/mcom/3497zbMath1497.65107arXiv1801.02849OpenAlexW2982531019MaRDI QIDQ5216726

Maria Lopez-Fernandez, Giancarlo Nino, Nicola Guglielmi

Publication date: 18 February 2020

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.02849

zbMATH Keywords

Laplace transformpseudospectratrapezoidal rulenumerical inversion of Laplace transformcontour integral methodsquadrature for analytic functions

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for integral transforms (65R10) Computational methods for problems pertaining to game theory, economics, and finance (91-08)

Related Items (7)

A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations ⋮ Model Order Reduction in Contour Integral Methods for Parametric PDEs ⋮ \(khp\)-adaptive spectral projection based discontinuous Galerkin method for the numerical solution of wave equations with memory ⋮ Pseudospectral roaming contour integral methods for convection-diffusion equations ⋮ Unnamed Item ⋮ A ROM-accelerated parallel-in-time preconditioner for solving all-at-once systems in unsteady convection-diffusion PDEs ⋮ A spectral projection based method for the numerical solution of wave equations with memory

Uses Software

• Eigtool
• Seigtool

Cites Work

• Unnamed Item
• The Pricing of Options and Corporate Liabilities
• Stability of ADI schemes applied to convection--diffusion equations with mixed derivative terms
• Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms
• On the numerical inversion of the Laplace transform of certain holomorphic mappings
• An improved Talbot method for numerical Laplace transform inversion
• Fast Runge-Kutta approximation of inhomogeneous parabolic equations
• Exponentially Convergent Parallel Discretization Methods for the First Order Evolution Equations
• The Exponentially Convergent Trapezoidal Rule
• A Contour Integral Method for the Black–Scholes and Heston Equations
• A Spectral Order Method for Inverting Sectorial Laplace Transforms
• The Accurate Numerical Inversion of Laplace Transforms
• Pseudospectra of the Convection-Diffusion Operator
• A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature
• Improved contour integral methods for parabolic PDEs
• Fast and Oblivious Algorithms for Dissipative and Two-dimensional Wave Equations
• A trapezoidal rule error bound unifying the Euler–Maclaurin formula and geometric convergence for periodic functions
• A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options
• ADI finite difference schemes for option pricing in the Heston model with correlation

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