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Volumn 25, Issue 4, 1997, Pages 321-332

Galerkin-Petrov method for strongly nonlinear singularly perturbed boundary value problems on special meshes

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; NONLINEAR SYSTEMS; PERTURBATION TECHNIQUES;

EID: 0031383823     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(97)00053-6     Document Type: Article
Times cited : (4)

References (12)
  • 1
    • 0011912796 scopus 로고
    • Collocation for singular perturbation problems I: First order system with constant coefficients
    • U. Asher and R. Weiss, Collocation for singular perturbation problems I: first order system with constant coefficients, SIAM J. Numer. Anal. 20 (3) (1983) 537-557.
    • (1983) SIAM J. Numer. Anal. , vol.20 , Issue.3 , pp. 537-557
    • Asher, U.1    Weiss, R.2
  • 2
    • 84966261533 scopus 로고
    • Collocation for singular perturbed problems II: Linear first order systems without turning points
    • U. Asher and R. Weiss, Collocation for singular perturbed problems II: linear first order systems without turning points, Math. Comp. 167 (1984) 157-187.
    • (1984) Math. Comp. , vol.167 , pp. 157-187
    • Asher, U.1    Weiss, R.2
  • 3
    • 0001238824 scopus 로고
    • To optimization of methods of solutions of boundary value problems with boundary layers
    • N.S. Bakhvalov, To optimization of methods of solutions of boundary value problems with boundary layers, Zh. Vychisl Mat. i Mat. Fiz. 9 (4) (1969) 841-859.
    • (1969) Zh. Vychisl Mat. i Mat. Fiz. , vol.9 , Issue.4 , pp. 841-859
    • Bakhvalov, N.S.1
  • 4
    • 0039704824 scopus 로고
    • A convergence of spline collocation method on optimal mesh for singularly perturbed boundary value problem
    • I.A. Blatov and V.V. Strygin, A convergence of spline collocation method on optimal mesh for singularly perturbed boundary value problem, Differentsial'nye Uravneniya 24 (11) (1988) 1977-1987.
    • (1988) Differentsial'nye Uravneniya , vol.24 , Issue.11 , pp. 1977-1987
    • Blatov, I.A.1    Strygin, V.V.2
  • 5
    • 30244487060 scopus 로고
    • The spline collocation method on adaptive meshes for singularly perturbed boundary value problem
    • I.A. Blatov and V.V. Strygin, The spline collocation method on adaptive meshes for singularly perturbed boundary value problem, Soviet Math. Dokl. 39 (1) (1989).
    • (1989) Soviet Math. Dokl. , vol.39 , Issue.1
    • Blatov, I.A.1    Strygin, V.V.2
  • 6
    • 30244432742 scopus 로고
    • On the numerical integration of the two-point boundary value problems for stiff systems of ordinary differential equations
    • Dublin
    • J.E. Flaherty and R.E. O'Malley, On the numerical integration of the two-point boundary value problems for stiff systems of ordinary differential equations, in: Proceedings BAIL 1st Conference, Dublin (1980) 93-102.
    • (1980) Proceedings BAIL 1st Conference , pp. 93-102
    • Flaherty, J.E.1    O'Malley, R.E.2
  • 7
    • 30244434664 scopus 로고
    • Numerical methods for stiff systems of two-point boundary value problems
    • J.E. Flaherty and R.E. O'Malley, Numerical methods for stiff systems of two-point boundary value problems, SIAM J. Sci. Statist. Comput. 5 (1984) 865-886.
    • (1984) SIAM J. Sci. Statist. Comput. , vol.5 , pp. 865-886
    • Flaherty, J.E.1    O'Malley, R.E.2
  • 9
    • 0021510352 scopus 로고
    • On collocation schemes for quasilinear singularly perturbed boundary value problems
    • C. Ringhofer, On collocation schemes for quasilinear singularly perturbed boundary value problems, SIAM J. Numer. Anal. 21 (5) (1984) 864-882.
    • (1984) SIAM J. Numer. Anal. , vol.21 , Issue.5 , pp. 864-882
    • Ringhofer, C.1
  • 10
    • 0040823389 scopus 로고    scopus 로고
    • The galerkin method for singularly perturbed boundary value problem on adaptive meshes
    • 199
    • V.V. Strygin and V.V. Sirunjan, The Galerkin method for singularly perturbed boundary value problem on adaptive meshes, Sibirsk. Mat. Zh. 31 (5) (199?) 138-148.
    • Sibirsk. Mat. Zh. , vol.31 , Issue.5 , pp. 138-148
    • Strygin, V.V.1    Sirunjan, V.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.