Unified Transform for Boundary Value Problems

DOI10.1137/1.9781611973822zbMath1311.65001OpenAlexW4252578819MaRDI QIDQ5245250

No author found.

Publication date: 7 April 2015

Full work available at URL: https://doi.org/10.1137/1.9781611973822

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to numerical analysis (65-06) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Applications to the sciences (65Z05) Boundary element methods for boundary value problems involving PDEs (65N38) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (21)

Linearizable boundary value problems for the nonlinear Schrödinger equation in laboratory coordinates ⋮ The non-commutative Korteweg-de Vries hierarchy and combinatorial Pöppe algebra ⋮ Linear evolution equations on the half-line with dynamic boundary conditions ⋮ The Korteweg-de Vries equation on the half-line with Robin and Neumann data in low regularity spaces ⋮ Fundamental solutions of the fractional Fresnel equation in the real half-line ⋮ A numerical implementation of the unified Fokas transform for evolution problems on a finite interval ⋮ The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method ⋮ Boundary behavior for the heat equation on the half‐line ⋮ Fourier-Mellin transforms for circular domains ⋮ A Study of Nonholonomic Deformations of Nonlocal Integrable Systems Belonging to the Nonlinear Schrödinger Family ⋮ Initial value problems for integrable systems on a semi-strip ⋮ Geometry-Fitted Fourier-Mellin Transform Pairs ⋮ The Korteweg-de Vries equation on an interval ⋮ Well-posedness of a higher dispersion KdV equation on the half-line ⋮ An iterative spatial-stepping numerical method for linear elliptic PDEs using the unified transform ⋮ Non-homogeneous wave equation on a cone ⋮ A class of unified transform techniques for solving linear elliptic PDEs in convex polygons ⋮ Evolution partial differential equations with discontinuous data ⋮ The Neumann and Robin problems for the Korteweg–de Vries equation on the half-line ⋮ Extended water wave systems of Boussinesq equations on a finite interval: theory and numerical analysis ⋮ Solution to the 1D Stefan problem using the unified transform method

This page was built for publication: Unified Transform for Boundary Value Problems