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Volumn 24, Issue 4, 2004, Pages 699-720

A novel fitted finite volume method for the Black-Scholes equation governing option pricing

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COSTS; ECONOMICS; ERROR ANALYSIS; FINANCIAL MARKETS; FINITE VOLUME METHOD;

EID: 7444272014     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/24.4.699     Document Type: Article
Times cited : (149)

References (18)
  • 1
    • 0037503107 scopus 로고    scopus 로고
    • Three-dimensional exponentially fitted conforming tetrahedral finite elements for the semiconductor continuity equations
    • ANGERMANN, L. & WANG, S. (2003) Three-dimensional exponentially fitted conforming tetrahedral finite elements for the semiconductor continuity equations. Appl. Numer. Math., 46, 19-43.
    • (2003) Appl. Numer. Math. , vol.46 , pp. 19-43
    • Angermann, L.1    Wang, S.2
  • 2
    • 0001533213 scopus 로고
    • Relaxation methods applied to determine the motion, in two dimensions, of a viscous fluid past a fixed cylinder
    • ALLEN, D. N. DE G. & SOUTHWELL, R. V. (1955) Relaxation methods applied to determine the motion, in two dimensions, of a viscous fluid past a fixed cylinder. Quart. J. Mech. Appl. Math., 8, 129.
    • (1955) Quart. J. Mech. Appl. Math. , vol.8 , pp. 129
    • Allen, D.N.D.G.1    Southwell, R.V.2
  • 3
    • 0041753938 scopus 로고    scopus 로고
    • Convergence of numerical schemes for degenerate parabolic equations arising in finance theory
    • (L. C. G. Rogers & D. Tallay, eds). Cambridge: Cambridge University Press
    • BARLES, G. (1997) Convergence of numerical schemes for degenerate parabolic equations arising in finance theory. Numerical Methods in Finance. (L. C. G. Rogers & D. Tallay, eds). Cambridge: Cambridge University Press.
    • (1997) Numerical Methods in Finance
    • Barles, G.1
  • 4
    • 0001241353 scopus 로고
    • Convergence of numerical schemes for problems arising in finance theory
    • BARLES, G., DAHER, CH. & ROMANO, M. (1995) Convergence of numerical schemes for problems arising in finance theory. Math. Models Mech. Appl. Sci., 5, 125-143.
    • (1995) Math. Models Mech. Appl. Sci. , vol.5 , pp. 125-143
    • Barles, G.1    Daher, Ch.2    Romano, M.3
  • 5
    • 85015692260 scopus 로고
    • The pricing of options and corporate liabilities
    • BLACK, F. & SCHOLES, M. (1973) The pricing of options and corporate liabilities. J. Pol. Econ., 81, 637-659.
    • (1973) J. Pol. Econ. , vol.81 , pp. 637-659
    • Black, F.1    Scholes, M.2
  • 7
    • 84976088813 scopus 로고
    • A more accurate finite difference approximation for the valuation of options
    • COURTADON, G. (1982) A more accurate finite difference approximation for the valuation of options. J. Fin. Econ. Quant. Anal., 17, 697-703.
    • (1982) J. Fin. Econ. Quant. Anal. , vol.17 , pp. 697-703
    • Courtadon, G.1
  • 8
    • 49249142814 scopus 로고
    • Option pricing: A simplified approach
    • COX, J. C., ROSS, S. & RUBINSTEIN, M. (1979) Option pricing: a simplified approach. J. Fin. Econ., 7, 229-264.
    • (1979) J. Fin. Econ. , vol.7 , pp. 229-264
    • Cox, J.C.1    Ross, S.2    Rubinstein, M.3
  • 9
    • 84868251940 scopus 로고
    • The use of control variate technique in option pricing
    • HULL, J. C. & WHITE, A. (1988) The use of control variate technique in option pricing. J. Fin. Econ. Quant. Anal., 23, 237-251.
    • (1988) J. Fin. Econ. Quant. Anal. , vol.23 , pp. 237-251
    • Hull, J.C.1    White, A.2
  • 11
    • 77957217526 scopus 로고
    • A new non-conforming Petrov-Galerkin method with triangular elements for a singularly perturbed advection-diffusion problem
    • MILLER, J. J. H. & WANG, S. (1994a) A new non-conforming Petrov-Galerkin method with triangular elements for a singularly perturbed advection-diffusion problem. IMA J. Numer. Anal., 14, 257-276.
    • (1994) IMA J. Numer. Anal. , vol.14 , pp. 257-276
    • Miller, J.J.H.1    Wang, S.2
  • 12
    • 0002033584 scopus 로고
    • An exponentially fitted finite element volume method for the numerical solution of 2D unsteady incompressible flow problems
    • MILLER, J. J. H. & WANG, S. (1994b) An exponentially fitted finite element volume method for the numerical solution of 2D unsteady incompressible flow problems. J. Comput. Phys., 115, 56-64.
    • (1994) J. Comput. Phys. , vol.115 , pp. 56-64
    • Miller, J.J.H.1    Wang, S.2
  • 14
    • 0010165151 scopus 로고
    • The valuation of warrants: Implementing a new approach
    • SCHWARTZ, E. (1977) The valuation of warrants: implementing a new approach. J. Fin. Econ., 13, 79-93.
    • (1977) J. Fin. Econ. , vol.13 , pp. 79-93
    • Schwartz, E.1
  • 16
    • 4243507949 scopus 로고    scopus 로고
    • An upwind numerical approach for an American and European option pricing model
    • VAZQUEZ, C. (1998) An upwind numerical approach for an American and European option pricing model. Appl. Math. Comput., 97, 273-286.
    • (1998) Appl. Math. Comput. , vol.97 , pp. 273-286
    • Vazquez, C.1
  • 17
    • 0031191437 scopus 로고    scopus 로고
    • A novel exponentially fitted triangular finite element method for an advection-diffusion problem with boundary layers
    • WANG, S. (1997) A novel exponentially fitted triangular finite element method for an advection-diffusion problem with boundary layers. J. Comput. Phys., 134, 253-260.
    • (1997) J. Comput. Phys. , vol.134 , pp. 253-260
    • Wang, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.