2007•Unpublished venueRequires access

Wide-Angle Alternating-Direction Implicit Finite-Difference BPM

Ella V. Bekker, P. Sewell, Trevor Mark Benson, Ana Vuković

Abstract

We introduce an improved Alternating Direction Implicit (ADI) scheme for each of the wide-angle (WA) Pade approximant multi-steps, and moreover, employ an iterative approach to correct for the splitting error. The resulting finite-difference scheme is conditionally stable and can be straightforwardly solved using the efficient Thomas algorithm for tri-diagonal band matrices. Valuable reductions in both the memory and calculation time are obtained, especially for complex geometries.

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Key concepts: Alternating direction implicit method, Diagonal, Padé approximant, Applied mathematics, Finite difference method, Mathematics, Finite difference, Scheme (mathematics)