메뉴 건너뛰기




Volumn 2, Issue 4, 1982, Pages 437-449

Collocation methods for weakly singular second-kind volterra integral equations with non-smooth solution

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0013586003     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/2.4.437     Document Type: Article
Times cited : (61)

References (22)
  • 2
    • 0042199680 scopus 로고
    • Piecewise polynomial collocation for Volterra-type integral equations of the second kind
    • Brunner, H., Evans, M. D. 1977 Piecewise polynomial collocation for Volterra-type integral equations of the second kind. J. Inst. Maths Applies 20, 415-423.
    • (1977) J. Inst. Maths Applies , vol.20 , pp. 415-423
    • Brunner, H.1    Evans, M.D.2
  • 3
    • 0001676643 scopus 로고
    • Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind
    • Brunner, H., Nbrsett, S. P. 1981 Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind. Num. Math. 36, 347-358.
    • (1981) Num. Math. , vol.36 , pp. 347-358
    • Brunner, H.1    Nbrsett, S.P.2
  • 4
    • 0041451567 scopus 로고
    • Nonlinear heat transfer problem
    • Chambrl, P. L. 1959 Nonlinear heat transfer problem. J. Appl. Phys. 30, 1683-1688.
    • (1959) J. Appl. Phys , vol.30 , pp. 1683-1688
    • Chambrl, P.L.1
  • 5
    • 0016315517 scopus 로고
    • High order methods for a class of Volterra integral equations with weakly singular kernels
    • de Hoog, F., Weiss, R. 1974 High order methods for a class of Volterra integral equations with weakly singular kernels. SIAM J. Num. Analysis 11, 1166-1180.
    • (1974) SIAM J. Num. Analysis , vol.11 , pp. 1166-1180
    • De Hoog, F.1    Weiss, R.2
  • 6
    • 0001500950 scopus 로고
    • Interface kinetics and crystal growth under conditions of constant cooling rate, I: Constant diffusion coefficient
    • Ghez, R., Lew, J. S. 1973 Interface kinetics and crystal growth under conditions of constant cooling rate, I: Constant diffusion coefficient. J. Crystal Growth 20, 273-282.
    • (1973) J. Crystal Growth , vol.20 , pp. 273-282
    • Ghez, R.1    Lew, J.S.2
  • 8
    • 0013292624 scopus 로고
    • Temperature of a nonlinearly radiating semiinfinite solid
    • Keller, J. B., Olmstead, W. E. 1971 Temperature of a nonlinearly radiating semiinfinite solid. Q. Appl. Math. 29, 559-566.
    • (1971) Q. Appl. Math. , vol.29 , pp. 559-566
    • Keller, J.B.1    Olmstead, W.E.2
  • 9
    • 0002445423 scopus 로고
    • A nonlinear Volterra equation arising in the theory of superfluidity
    • Levinson, N. 1960 A nonlinear Volterra equation arising in the theory of superfluidity. J. Math. Analysis Appl. 1, 1-11.
    • (1960) J. Math. Analysis Appl , vol.1 , pp. 1-11
    • Levinson, N.1
  • 10
    • 0014567147 scopus 로고
    • Numerical methods for Volterra integral equations with weakly singular kernels
    • Linz, P. 1969 Numerical methods for Volterra integral equations with weakly singular kernels. SIAM J. Num. Analysis 6, 365-374.
    • (1969) SIAM J. Num. Analysis , vol.6 , pp. 365-374
    • Linz, P.1
  • 12
    • 0000416421 scopus 로고
    • Heat transfer between solids and gases under nonlinear boundary conditions
    • Mann, W. R., Wolf, F. 1951 Heat transfer between solids and gases under nonlinear boundary conditions. Q. Appl. Math. 9, 163-184.
    • (1951) Q. Appl. Math. , vol.9 , pp. 163-184
    • Mann, W.R.1    Wolf, F.2
  • 13
    • 84984028951 scopus 로고
    • Generalized Gronwall lemmas
    • McKee, S. 1982 Generalized Gronwall lemmas. Z. Angew. Math. Mech. 62, 429-434.
    • (1982) Z. Angew. Math. Mech , vol.62 , pp. 429-434
    • McKee, S.1
  • 14
    • 0040891781 scopus 로고
    • Smoothness of solutions of Volterra integral equations with weakly singular kernels
    • Miller, R. K., Feldstein, A. 1971 Smoothness of solutions of Volterra integral equations with weakly singular kernels. SIAM J. Math. Analysis 2, 242-258.
    • (1971) SIAM J. Math. Analysis , vol.2 , pp. 242-258
    • Miller, R.K.1    Feldstein, A.2
  • 15
    • 33947484511 scopus 로고
    • Some examples of the numerical solution of nonlinear integral equations
    • Nicholson, R. S. 1965 Some examples of the numerical solution of nonlinear integral equations. Analyt. Chem. 31, 667-671.
    • (1965) Analyt. Chem , vol.31 , pp. 667-671
    • Nicholson, R.S.1
  • 16
    • 0007747991 scopus 로고
    • The numerical solution of nonlinear integral equations and related topics
    • Anselone, P. M., Ed.), Madison: University of Wisconsin Press
    • Noble, B. 1964 The numerical solution of nonlinear integral equations and related topics. In Nonlinear Integral Equations (Anselone, P. M., Ed.), pp. 215-318. Madison: University of Wisconsin Press.
    • (1964) Nonlinear Integral Equations , pp. 215-318
    • Noble, B.1
  • 17
    • 0003991797 scopus 로고
    • Numerical Analysis
    • New York: Academic Press
    • Ortega, J. M. 1972 Numerical Analysis, a Second Course. New York: Academic Press.
    • (1972) A Second Course
    • Ortega, J.M.1
  • 18
    • 84918361827 scopus 로고
    • Resolution numerique d'une equation integrate singuliere
    • Outis, H. 1964 Resolution numerique d'une equation integrate singuliere. Rev. Fr. Trait. D'Inf. (ChifTres) 7, 117-124.
    • (1964) Rev. Fr. Trait. D'inf. (Chiftres) , vol.7 , pp. 117-124
    • Outis, H.1
  • 19
    • 0004243945 scopus 로고
    • On a nonlinear integral equation
    • Padmavally, K. 1958 On a nonlinear integral equation. J. Math. Mech. 7, 533-555.
    • (1958) J. Math. Mech , vol.7 , pp. 533-555
    • Padmavally, K.1
  • 21
    • 77957883091 scopus 로고
    • Approximate product integration
    • Young, A. 1954a Approximate product integration. Proc. R. Soc. Ser. A 224, 552-561.
    • (1954) Proc. R. Soc. Ser. A , vol.224 , pp. 552-561
    • Young, A.1
  • 22
    • 11344274511 scopus 로고
    • The application of approximate product integration to the numerical solution of integral equations
    • Young, A. 1946 The application of approximate product integration to the numerical solution of integral equations. Proc. R. Soc. Ser. A 224, 561-573.
    • (1946) Proc. R. Soc. Ser. A , vol.224 , pp. 561-573
    • Young, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.