COMPARISON OF NUMERICAL METHODS (BI-CGSTAB, OS, MG) FOR THE 2D BLACK-SCHOLES EQUATION

COMPARISON OF NUMERICAL METHODS (BI-CGSTAB, OS, MG) FOR THE 2D BLACK-SCHOLES EQUATION
  • 정다래; 
  • 김성기; 
  • 최용호; 
  • 황형석; 
  • 김준석

초록

In this paper, we present a detailed comparison of the performance ofthe numerical solvers such as the biconjugate gradient stabilized, operator splitting,and multigrid methods for solving the two-dimensional Black-Scholes equation. Theequation is discretized by the finite difference method. The computational resultsdemonstrate that the operator splitting method is fastest among these solvers withthe same level of accuracy.

키워드

Black-Scholes equation; finite difference method; bi-CGSTAB; operator splitting method; multigrid
제목
COMPARISON OF NUMERICAL METHODS (BI-CGSTAB, OS, MG) FOR THE 2D BLACK-SCHOLES EQUATION
제목 (타언어)
COMPARISON OF NUMERICAL METHODS (BI-CGSTAB, OS, MG) FOR THE 2D BLACK-SCHOLES EQUATION
저자
정다래; 김성기; 최용호; 황형석; 김준석
발행일
2014
저널명
순수 및 응용수학
권
21
호
2
페이지
129 ~ 139