Generalized Dirichlet-to-Neumann Map in Time-Dependent Domains

DOI10.1111/j.1467-9590.2011.00545.xzbMath1250.35156OpenAlexW1502869649MaRDI QIDQ3165572

Beatrice Pelloni, Athanassios S. Fokas

Publication date: 29 October 2012

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://centaur.reading.ac.uk/19700/1/Fokas-Pelloni.pdf

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Heat equation (35K05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

On the resolution of the heat equation in unbounded non-regular domains of R³ ⋮ Integral representations for the double-diffusivity system on the half-line ⋮ The Fokas method for integrable evolution equations on a time-dependent interval ⋮ Ef-Gaussian direct quadrature methods for Volterra integral equations with periodic solution ⋮ Solution to the 1D Stefan problem using the unified transform method

Uses Software

• Mathematica
• DLMF

Cites Work

• Unnamed Item
• Higher accuracy methods for second-kind Volterra integral equations based on asymptotic expansions of iterated Galerkin methods
• A new approach to the numerical solution of weakly singular Volterra integral equations.
• NIST digital library of mathematical functions
• Generalized Dirichlet to Neumann map for moving initial-boundary value problems
• A Unified Approach to Boundary Value Problems
• Asymptotics of linear initial boundary value problems with periodic boundary data on the half-line and finite intervals
• A new transform method for evolution partial differential equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Boundary value problems for third-order linear PDEs in time-dependent domains
• Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels
• A transform method for linear evolution PDEs on a finite interval
• The Dirichlet-to-Neumann map for the heat equation on a moving boundary

This page was built for publication: Generalized Dirichlet-to-Neumann Map in Time-Dependent Domains