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Volumn 7, Issue 2, 1981, Pages 209-222

Collocation Software for Boundary-Value ODEs

Author keywords

boundary value problems; Bspline; collocation; damped Newton's method; error estimates; general purpose code; mesh selection; ordinary differential equations

Indexed keywords

MATHEMATICAL TECHNIQUES - DIFFERENTIAL EQUATIONS;

EID: 0019575243     PISSN: 00983500     EISSN: 15577295     Source Type: Journal    
DOI: 10.1145/355945.355950     Document Type: Article
Times cited : (613)

References (19)
  • 1
    • 0000203255 scopus 로고
    • Solving boundary value problems with a spline-collocation code
    • Ascher, U. Solving boundary value problems with a spline-collocation code. J Comput. Phys. 34 (1980), 401-413.
    • (1980) J Comput. Phys. , vol.34 , pp. 401-413
    • Ascher, U.1
  • 2
    • 84913329653 scopus 로고
    • A collocation solver for mixed order systems of boundary value problems
    • Computer Science Dep., Univ British Columbia, Vancouver, Canada
    • Ascher, U., Christiansen, J., AND Russell, R.D. A collocation solver for mixed order systems of boundary value problems. Tech. Rep. 77-13, Computer Science Dep., Univ British Columbia, Vancouver, Canada, 1977.
    • (1977) Tech. Rep. 77-13
    • Ascher, U.1    Christiansen, J.2    Russell, R.D.3
  • 3
    • 84976766627 scopus 로고
    • COLSYS-A collocation code for boundary value problems. In Codes for Boundary Value Problems
    • B. Childs et al. (Eds.) Springer-Verlag, New York
    • Ascher, U., Christiansen, J., AND Russell, R.D. COLSYS-A collocation code for boundary value problems. In Codes for Boundary Value Problems, B. Childs et al. (Eds.), Lecture Notes in Computer Science 76, Springer-Verlag, New York, 1979
    • (1979) Lecture Notes in Computer Science , vol.76
    • Ascher, U.1    Christiansen, J.2    Russell, R.D.3
  • 4
    • 84914715426 scopus 로고
    • Evaluation of B-splines for solving systems of boundary value problems
    • Computer Science Dep., Univ. British Columbia, Vancouver, Canada
    • Ascher, U., AND Russell, R.D. Evaluation of B-splines for solving systems of boundary value problems. Tech. Rep. 77-14, Computer Science Dep., Univ. British Columbia, Vancouver, Canada, 1977.
    • (1977) Tech. Rep. 77-14
    • Ascher, U.1    Russell, R.D.2
  • 5
    • 0001242043 scopus 로고
    • Reformation of boundary value problems in ‘standard’ form
    • April
    • Ascher, U., AND Russell, R.D. Reformation of boundary value problems in ‘standard’ form. SIAM Rev 23 (April 1981).
    • (1981) SIAM Rev , vol.23
    • Ascher, U.1    Russell, R.D.2
  • 8
    • 0002316349 scopus 로고
    • On calculating with B-splines
    • De Boor, C. On calculating with B-splines. J. Approx. Theory 6 (1972), 50-62
    • (1972) J. Approx. Theory , vol.6 , pp. 50-62
    • De Boor, C.1
  • 9
    • 84976770923 scopus 로고
    • SOLVEBLOK: A package for solving almost block diagonal linear systems
    • March
    • De Boor, C., AND Weiss, R. SOLVEBLOK: A package for solving almost block diagonal linear systems. ACM Trans Math. Softw. 6, 1 (March 1980), 80-87.
    • (1980) ACM Trans Math. Softw. , vol.6 , Issue.1 , pp. 80-87
    • De Boor, C.1    Weiss, R.2
  • 10
    • 84911656004 scopus 로고
    • A stepsize control for continuation methods with special application to multiple shooting techniques
    • Munchen, Germany
    • Deuflhard, P. A stepsize control for continuation methods with special application to multiple shooting techniques. TUM-Math-7627, Munchen, Germany, 1976.
    • (1976) TUM-Math-7627
    • Deuflhard, P.1
  • 11
    • 0004802723 scopus 로고
    • Comparing routines for the numerical solution of initial value problems of ordinary differential equations in multiple shooting
    • Diekoff, H.J., Lory, P., Oberle, H.J., Pesch, H.J., Rentrop, P., AND Seydel, R. Comparing routines for the numerical solution of initial value problems of ordinary differential equations in multiple shooting. Numer. Math. 27 (1977), 449-469.
    • (1977) Numer. Math. , vol.27 , pp. 449-469
    • Diekoff, H.J.1    Lory, P.2    Oberle, H.J.3    Pesch, H.J.4    Rentrop, P.5    Seydel, R.6
  • 12
    • 0017914813 scopus 로고
    • Improved finite difference formulas for boundary value problems
    • Gawain, T.H., AND Ball, R.E. Improved finite difference formulas for boundary value problems. Int. J. Numer. Meth. Eng. 12 (1978), 1151-1160.
    • (1978) Int. J. Numer. Meth. Eng. , vol.12 , pp. 1151-1160
    • Gawain, T.H.1    Ball, R.E.2
  • 13
    • 84939740115 scopus 로고
    • Shooting codes in the NAG library
    • B. Childs et al. (Eds.) Springer-Verlag, New York
    • Gladwell, I. Shooting codes in the NAG library. In B. Childs et al. (Eds.), Lecture Notes in Computer Science 76, Springer-Verlag, New York, 1979.
    • (1979) Lecture Notes in Computer Science , vol.76
    • Gladwell, I.1
  • 14
    • 84945708455 scopus 로고
    • Numerical solution of nonlinear two-point boundary problems by finite difference methods
    • Holt, J.F. Numerical solution of nonlinear two-point boundary problems by finite difference methods. Commun. ACM 7, 6(1964), 366-373.
    • (1964) Commun. ACM , vol.7 , Issue.6 , pp. 366-373
    • Holt, J.F.1
  • 15
    • 0002861433 scopus 로고
    • An adaptive finite difference solver for nonlinear two point boundary problems with mild boundary layers
    • Lentini, M., AND Pereyra, V An adaptive finite difference solver for nonlinear two point boundary problems with mild boundary layers. SIAM J. Numer Anal 14 (1977), 91-111.
    • (1977) SIAM J. Numer Anal , vol.14 , pp. 91-111
    • Lentini, M.1    Pereyra, V.2
  • 16
    • 84976854739 scopus 로고
    • PASVA3: An adaptive finite difference program for first order, nonlinear ordinary boundary problems
    • B. Childs et al. (Eds.) Springer-Verlag, New York
    • Lentini, M., AND Pereyra, V. PASVA3: An adaptive finite difference program for first order, nonlinear ordinary boundary problems. In B. Childs et al. (Eds.), Lecture Notes in Computer Science 76, Springer-Verlag, New York, 1979.
    • (1979) Lecture Notes in Computer Science , vol.76
    • Lentini, M.1    Pereyra, V.2
  • 17
    • 0001786527 scopus 로고
    • Computational solutions of linear two-point boundary problems via orthonormalization
    • Scott, M.L., AND Watts, H.A. Computational solutions of linear two-point boundary problems via orthonormalization. SIAM J. Numer. Anal. 14 (1977), 40-70.
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 40-70
    • Scott, M.L.1    Watts, H.A.2
  • 18
    • 84990478761 scopus 로고
    • Superposition, orthonormalization, quasilinearization and two- point boundary value problems
    • B. Childs et al. (Eds.) Springer-Verlag, New York
    • Scott, M.L., AND Watts, H.A. Superposition, orthonormalization, quasilinearization and two- point boundary value problems. In B. Childs et al. (Eds.), Lecture Notes in Computer Science 76, Springer-Verlag, New York, 1979.
    • (1979) Lecture Notes in Computer Science , vol.76
    • Scott, M.L.1    Watts, H.A.2
  • 19
    • 84976775274 scopus 로고
    • The dimpling of spherical caps
    • Inst, of Applied Mathematics, Univ. British Columbia, Vancouver, Canada
    • Wan, F. The dimpling of spherical caps. Tech. Rep. 78-6, Inst, of Applied Mathematics, Univ. British Columbia, Vancouver, Canada, 1978.
    • (1978) Tech. Rep. 78-6
    • Wan, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.