Transparent Boundary Conditions for Split-Step Padé Approximations of the One-Way Helmholtz Equation Academic Article uri icon

Overview

MeSH Major

  • Cell Transformation, Viral
  • Oncogenes
  • Receptors, Cell Surface

abstract

  • In this paper, we generalize the nonlocal discrete transparent boundary condition introduced by F. Schmidt and P. Deuflhard (1995, Comput. Math. Appl. 29, 53-76) and by F. Schmidt and D. Yevick (1997, J. Comput. Phys. 134, 96-107) to propagation methods based on arbitrary Padé approximations of the two-dimensional one-way Helmholtz equation. Our approach leads to a recursive formula for the coefficients appearing in the nonlocal condition, which then yields an unconditionally stable propagation method. © 2001 Academic Press.

publication date

  • July 2001

Research

keywords

  • Academic Article

Identity

Digital Object Identifier (DOI)

  • 10.1006/jcph.2001.6757

Additional Document Info

start page

  • 696

end page

  • 719

volume

  • 170

number

  • 2