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Solving Boundary-Value Problems by Imbedding

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E. WasserstromAuthors Info & Claims

Journal of the ACM (JACM), Volume 18, Issue 4

Pages 594 - 602

https://doi.org/10.1145/321662.321674

Published: 01 October 1971 Publication History

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Cited By

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Roberts SShipman J(2013)The epsilon variation method in two-point boundary-value problemsJournal of Optimization Theory and Applications10.1007/BF0093481412:2(136-151)Online publication date: 3-Aug-2013
https://doi.org/10.1007/BF00934814
Kubicek MHolodniok MMarek I(2007)Numerical solution of nonlinear equations by one-parameter imbedding methodsNumerical Functional Analysis and Optimization10.1080/016305681088160883:2(223-264)Online publication date: 26-Jun-2007
https://doi.org/10.1080/01630568108816088
Dunyak JJunkins JWatson L(1984)Robust nonlinear least squares estimation using the Chow-Yorke homotopy methodJournal of Guidance, Control, and Dynamics10.2514/3.199247:6(752-755)Online publication date: Nov-1984
https://doi.org/10.2514/3.19924
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Index Terms

Solving Boundary-Value Problems by Imbedding
1. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Ordinary differential equations
    2. Nonlinear equations

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Published In

Journal of the ACM Volume 18, Issue 4

Oct. 1971

170 pages

ISSN:0004-5411

EISSN:1557-735X

DOI:10.1145/321662

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 October 1971

Published in JACM Volume 18, Issue 4

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Roberts SShipman J(2013)The epsilon variation method in two-point boundary-value problemsJournal of Optimization Theory and Applications10.1007/BF0093481412:2(136-151)Online publication date: 3-Aug-2013
https://doi.org/10.1007/BF00934814
Kubicek MHolodniok MMarek I(2007)Numerical solution of nonlinear equations by one-parameter imbedding methodsNumerical Functional Analysis and Optimization10.1080/016305681088160883:2(223-264)Online publication date: 26-Jun-2007
https://doi.org/10.1080/01630568108816088
Dunyak JJunkins JWatson L(1984)Robust nonlinear least squares estimation using the Chow-Yorke homotopy methodJournal of Guidance, Control, and Dynamics10.2514/3.199247:6(752-755)Online publication date: Nov-1984
https://doi.org/10.2514/3.19924
Kubíček MHolodniok MHlaváček V(1979)Solution of nonlinear boundary value problems—XIChemical Engineering Science10.1016/0009-2509(79)85109-X34:5(645-650)Online publication date: 1979
https://doi.org/10.1016/0009-2509(79)85109-X
Kubíek MHlaváek V(1978)One-parameter imbedding techniques for the solution of nonlinear boundary-value problemsApplied Mathematics and Computation10.1016/0096-3003(78)90003-64:4(317-357)Online publication date: 1-Oct-1978
https://dl.acm.org/doi/10.1016/0096-3003%2878%2990003-6
WASSERSTROM E(1973)Identification of parameters by the continuation method.AIAA Journal10.2514/3.688111:8(1097-1101)Online publication date: Aug-1973
https://doi.org/10.2514/3.6881
Wasserstrom E(1973)Numerical Solutions by the Continuation MethodSIAM Review10.1137/101500315:1(89-119)Online publication date: 1-Jan-1973
https://dl.acm.org/doi/10.1137/1015003
Wasserstorm EKirszenblat A(1973)Analog Solutions of Nonlinear Boundary-Value Problems by the Continuation MethodIEEE Transactions on Computers10.1109/T-C.1973.22363222:11(966-970)Online publication date: 1-Nov-1973
https://dl.acm.org/doi/10.1109/T-C.1973.223632
Wasserstrom E(1972)A new method for solving eigenvalue problemsJournal of Computational Physics10.1016/0021-9991(72)90036-89:1(53-74)Online publication date: Feb-1972
https://doi.org/10.1016/0021-9991(72)90036-8

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Invariant imbedding, difference equations, and elliptic boundary value problems

Singular boundary value problems for ODEs

A collection of computational techniques for solving singular boundary-value problems

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