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Volumn 21, Issue 1, 2001, Pages 349-366

A priori meshes for singularly perturbed quasilinear two-point boundary value problems

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETIZATIONS; MODEL PROBLEMS; QUASI-LINEAR; SHISHKIN MESHES; SINGULARLY PERTURBED; SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS; TURNING POINTS; TWO POINT BOUNDARY VALUE PROBLEMS;

EID: 0035529772     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/21.1.349     Document Type: Article
Times cited : (58)

References (19)
  • 1
    • 0000030935 scopus 로고
    • Monotone difference schemes for singular perturbation problems
    • ABRAHAMSSON, L. & OSHER, S. 1982 Monotone difference schemes for singular perturbation problems. SIAM J. Numer. Anal. 19, 979-992.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 979-992
    • Abrahamsson, L.1    Osher, S.2
  • 2
    • 0001238824 scopus 로고
    • Towards optimization of methods for solving boundary value problems in the presence of a boundary layer
    • in Russian
    • BAKHVALOV, N. S. 1969 Towards optimization of methods for solving boundary value problems in the presence of a boundary layer. Zh. Vychisl. Mat. Mat. Fiz. 9, 841-859 (in Russian).
    • (1969) Zh. Vychisl. Mat. Mat. Fiz. , vol.9 , pp. 841-859
    • Bakhvalov, N.S.1
  • 3
    • 24544448299 scopus 로고    scopus 로고
    • An upwind difference scheme on a novel Shishkin-type mesh for a linear convection-diffusion problem
    • Technische Universität Dresden
    • LINß, T. 1998 An upwind difference scheme on a novel Shishkin-type mesh for a linear convection-diffusion problem. Technical Report MATH-NM-04-1998. Technische Universität Dresden.
    • (1998) Technical Report MATH-NM-04-1998
    • Linß, T.1
  • 4
    • 0001200849 scopus 로고
    • Stability and monotonicity properties of stiff quasilinear boundary problems
    • LORENZ, J. 1982 Stability and monotonicity properties of stiff quasilinear boundary problems. Univ. Novom Sadu Zb. Rad. Prirod. Mat. Fak. Ser. Mat. 12, 151-175.
    • (1982) Univ. Novom Sadu Zb. Rad. Prirod. Mat. Fak. Ser. Mat. , vol.12 , pp. 151-175
    • Lorenz, J.1
  • 8
    • 0030490165 scopus 로고    scopus 로고
    • A note on the conditioning of upwind schemes on Shishkin meshes
    • ROOS, H.-G. 1996 A note on the conditioning of upwind schemes on Shishkin meshes. IMA J. Numer. Anal. 16, 529-538.
    • (1996) IMA J. Numer. Anal. , vol.16 , pp. 529-538
    • Roos, H.-G.1
  • 9
    • 22044433064 scopus 로고    scopus 로고
    • Layer-adapted grids for singular perturbation problems
    • ROOS, H.-G. 1998 Layer-adapted grids for singular perturbation problems. Z. Angew. Math. Mech. 78, 291-309.
    • (1998) Z. Angew. Math. Mech. , vol.78 , pp. 291-309
    • Roos, H.-G.1
  • 11
    • 0001588439 scopus 로고
    • A difference scheme for a singularly perturbed parabolic equation with a discontinuous boundary condition
    • in Russian
    • SHISHKIN, G. I. 1988 A difference scheme for a singularly perturbed parabolic equation with a discontinuous boundary condition. Zh. Vychisl. Mat. Mat. Fiz. 28, 1679-1692 (in Russian).
    • (1988) Zh. Vychisl. Mat. Mat. Fiz. , vol.28 , pp. 1679-1692
    • Shishkin, G.I.1
  • 12
  • 13
    • 21844521577 scopus 로고
    • An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem
    • SUN, G. & STYNES, M. 1995 An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem. Numer. Math. 70, 487-500.
    • (1995) Numer. Math. , vol.70 , pp. 487-500
    • Sun, G.1    Stynes, M.2
  • 14
    • 0001741172 scopus 로고
    • On a numerical solution of a type of singularly perturbed boundary value problem by using a special discretization mesh
    • VULANOVIĆ, R. 1983 On a numerical solution of a type of singularly perturbed boundary value problem by using a special discretization mesh. Univ. Novom Sadu Zb. Rad. Prirod. Mat. Fak. Ser. Mat. 13, 187-201.
    • (1983) Univ. Novom Sadu Zb. Rad. Prirod. Mat. Fak. Ser. Mat. , vol.13 , pp. 187-201
    • Vulanović, R.1
  • 15
    • 0002560723 scopus 로고
    • A uniform method for quasilinear singular perturbation problems without turning points
    • VULANOVIĆ, R. 1989 A uniform method for quasilinear singular perturbation problems without turning points. Computing 41, 97-106.
    • (1989) Computing , vol.41 , pp. 97-106
    • Vulanović, R.1
  • 16
    • 44949284985 scopus 로고
    • A second order numerical method for nonlinear singular perturbation problems without turning points
    • VULANOVIĆ, R. 1991a A second order numerical method for nonlinear singular perturbation problems without turning points. J. Comput. Math. Math. Phys. 31, 522-532.
    • (1991) J. Comput. Math. Math. Phys. , vol.31 , pp. 522-532
    • Vulanović, R.1
  • 17
    • 0001747334 scopus 로고
    • A uniform numerical method for a class of quasilinear turning point problems
    • (J. J. H. Miller & R. Vichnevetsky eds) Dublin: IMACS
    • VULANOVIĆ, R. 1991b A uniform numerical method for a class of quasilinear turning point problems. Proc. 13th IMACS World Congress on Computation and Applied Mathematics. (J. J. H. Miller & R. Vichnevetsky eds) Dublin: IMACS. p. 493.
    • (1991) Proc. 13th IMACS World Congress on Computation and Applied Mathematics , pp. 493
    • Vulanović, R.1
  • 18
    • 21944444650 scopus 로고    scopus 로고
    • Fourth order algorithms for a semilinear singular perturbation problem
    • VULANOVIĆ, R. 1997 Fourth order algorithms for a semilinear singular perturbation problem. Numer. Algor. 16, 117-128.
    • (1997) Numer. Algor. , vol.16 , pp. 117-128
    • Vulanović, R.1
  • 19
    • 0027677339 scopus 로고
    • Continuous and numerical analysis of a multiple boundary turning point problem
    • VULANOVIĆ, R. & FARRELL, P. A. 1993 Continuous and numerical analysis of a multiple boundary turning point problem. SIAM J. Numer. Anal. 30, 1400-1418.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1400-1418
    • Vulanović, R.1    Farrell, P.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.