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Volumn 31, Issue 4, 1999, Pages 451-462

Maximum norm contractivity in the numerical solution of the one-dimensional heat equation

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; PROBLEM SOLVING;

EID: 0033328362     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00007-0     Document Type: Article
Times cited : (16)

References (15)
  • 1
    • 0000445108 scopus 로고
    • Some computational aspects in the numerical solution of parabolic equations
    • O. Axelsson, T. Steihaug, Some computational aspects in the numerical solution of parabolic equations, J. Comput. Appl. Math. 4 (1978) 129-142.
    • (1978) J. Comput. Appl. Math. , vol.4 , pp. 129-142
    • Axelsson, O.1    Steihaug, T.2
  • 3
    • 0000491142 scopus 로고
    • Preserving concavity in initial-boundary value problems of parabolic type and its numerical solution
    • I. Faragó, T. Pfeil, Preserving concavity in initial-boundary value problems of parabolic type and its numerical solution, Periodica Math. Hung. 30 (1995) 135-139.
    • (1995) Periodica Math. Hung. , vol.30 , pp. 135-139
    • Faragó, I.1    Pfeil, T.2
  • 4
    • 85031594568 scopus 로고
    • On the non-negative solution of some system of linear algebraic equations and its application to the numerical solution of partial differential equations
    • Bergamo
    • I. Faragó, On the non-negative solution of some system of linear algebraic equations and its application to the numerical solution of partial differential equations, Quaderni del Dipartimento di Matematica, Statistica, Informatica e Applicazioni, Bergamo, 1992.
    • (1992) Quaderni del Dipartimento di Matematica, Statistica, Informatica e Applicazioni
    • Faragó, I.1
  • 5
    • 0002572079 scopus 로고    scopus 로고
    • Non-negativity of the difference schemes
    • I. Faragó, Non-negativity of the difference schemes, Pure Math. Appl. 6 (1996) 38-50.
    • (1996) Pure Math. Appl. , vol.6 , pp. 38-50
    • Faragó, I.1
  • 6
    • 0000857331 scopus 로고    scopus 로고
    • Qualitative properties of the numerical solution of linear parabolic problems with non-homogeneous boundary conditions
    • I. Faragó, Qualitative properties of the numerical solution of linear parabolic problems with non-homogeneous boundary conditions, Comput. Math. Appl. 31 (1996) 143-150.
    • (1996) Comput. Math. Appl. , vol.31 , pp. 143-150
    • Faragó, I.1
  • 9
    • 0003642608 scopus 로고
    • On the positivity of iterative methods
    • Budapest, to appear
    • R. Horváth, On the positivity of iterative methods, Ann. Univ. Budapest. Sect. Comp., Budapest, 1995, to appear.
    • (1995) Ann. Univ. Budapest. Sect. Comp.
    • Horváth, R.1
  • 10
    • 38249011463 scopus 로고
    • Maximum norm contractivity of discretization schemes for the heat equation
    • J.F.B.M. Kraaijevanger, Maximum norm contractivity of discretization schemes for the heat equation, Appl. Numer. Math. 9 (1992) 475-492.
    • (1992) Appl. Numer. Math. , vol.9 , pp. 475-492
    • Kraaijevanger, J.F.B.M.1
  • 11
    • 0003369740 scopus 로고
    • On the monotonicity in time of the solutions of linear second order homogeneous parabolic equations
    • T. Pfeil, On the monotonicity in time of the solutions of linear second order homogeneous parabolic equations, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 36 (1993).
    • (1993) Ann. Univ. Sci. Budapest. Eötvös Sect. Math. , vol.36
    • Pfeil, T.1
  • 15
    • 4244077265 scopus 로고
    • Finite difference methods for linear parabolic equations
    • P.G. Ciarlet, J.L. Lions (Eds.), North-Holland, Amsterdam
    • V. Thomée, Finite difference methods for linear parabolic equations, in: P.G. Ciarlet, J.L. Lions (Eds.), Handbook of Numerical Analysis, North-Holland, Amsterdam, 1990.
    • (1990) Handbook of Numerical Analysis
    • Thomée, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.