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Volumn 105, Issue 4, 2007, Pages 591-601

Monotonicity of some perturbations of irreducibly diagonally dominant M-matrices

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EID: 33846834084     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-006-0048-8     Document Type: Article
Times cited : (14)

References (15)
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    • Alfa, A.S.1    Xue, J.2    Ye, Q.3
  • 3
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    • A finite difference analog of the Neumann problem for Poisson's equation
    • Bramble, J.H., Hubbard, B.E.: A finite difference analog of the Neumann problem for Poisson's equation. SIAM J. Numer. Anal. 2, 1-14 (1964)
    • (1964) SIAM J. Numer. Anal , vol.2 , pp. 1-14
    • Bramble, J.H.1    Hubbard, B.E.2
  • 4
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    • On a finite difference analogue of an elliptic boundary problem which is neither diagonally dominant nor of non-negative type
    • Bramble, J.H., Hubbard, B.E.: On a finite difference analogue of an elliptic boundary problem which is neither diagonally dominant nor of non-negative type. J. Math. Phys. 43, 117-132 (1964)
    • (1964) J. Math. Phys , vol.43 , pp. 117-132
    • Bramble, J.H.1    Hubbard, B.E.2
  • 5
    • 0040514635 scopus 로고    scopus 로고
    • Bounds for determinants of perturbed M-matrices
    • Elsner, L.: Bounds for determinants of perturbed M-matrices. Linear Alg. Appl. 257, 283-288 (1997)
    • (1997) Linear Alg. Appl , vol.257 , pp. 283-288
    • Elsner, L.1
  • 7
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • LeVeque, R.J., Li, Z.: The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. 31, 1019-1044 (1994)
    • (1994) SIAM J. Numer. Anal , vol.31 , pp. 1019-1044
    • LeVeque, R.J.1    Li, Z.2
  • 8
    • 0007507897 scopus 로고
    • Zur inversmonotonie diskreter probleme
    • Lorenz J.: Zur inversmonotonie diskreter probleme. Numer. Math. 27, 227-238 (1977)
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    • Lorenz, J.1
  • 9
    • 0033876599 scopus 로고    scopus 로고
    • Superconvergence of the Shortley-Weller approximation for Dirichlet problems
    • Matsunaga, N., Yamamoto, T.: Superconvergence of the Shortley-Weller approximation for Dirichlet problems. J. Comp. Appl. Math. 116, 263-273 (2000)
    • (2000) J. Comp. Appl. Math , vol.116 , pp. 263-273
    • Matsunaga, N.1    Yamamoto, T.2
  • 10
    • 0035281552 scopus 로고    scopus 로고
    • Thomée, V.: From finite differences to finite elements. A short history of numerical analysis of partial differential equations. I Comp. Appl. Math. 128, 1-54 (2001)
    • Thomée, V.: From finite differences to finite elements. A short history of numerical analysis of partial differential equations. I Comp. Appl. Math. 128, 1-54 (2001)
  • 11
    • 84966256042 scopus 로고
    • High-order finite difference methods for Poisson's equation
    • van Linde, H.J.: High-order finite difference methods for Poisson's equation. Math. Comput. 28, 369-391 (1974)
    • (1974) Math. Comput , vol.28 , pp. 369-391
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  • 13
    • 0009853243 scopus 로고    scopus 로고
    • The explicit-jump immersed interface method: Finite difference methods for pdes with piecewise smooth solutions
    • Wiegmann, A., Bube, K.P.: The explicit-jump immersed interface method: finite difference methods for pdes with piecewise smooth solutions. SIAM J. Numer. Anal. 37, 827-862 (2000)
    • (2000) SIAM J. Numer. Anal , vol.37 , pp. 827-862
    • Wiegmann, A.1    Bube, K.P.2
  • 15
    • 33846800301 scopus 로고
    • Finite Difference Scheme for a third boundary value problem
    • Zafarullah, A.: Finite Difference Scheme for a third boundary value problem. J. ACM 16, 585-591 (1969)
    • (1969) J. ACM , vol.16 , pp. 585-591
    • Zafarullah, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.