Newton's method with mesh refinements for numerical solution of nonlinear two-point boundary value problems

E. L. Allgower; S. F. McCormick

doi:10.1007/bf01389210

Newton's method with mesh refinements for numerical solution of nonlinear two-point boundary value problems

Numerische Mathematik ◽

10.1007/bf01389210 ◽

1978 ◽

Vol 29 (3) ◽

pp. 237-260 ◽

Cited By ~ 21

Author(s):

E. L. Allgower ◽

S. F. McCormick

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Newton’S Method ◽

Newton's Method ◽

Boundary Value ◽

Point Boundary ◽

Mesh Refinements

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A revised mesh refinement strategy for newton’s method applied to nonlinear two-point boundary value problems

Lecture Notes in Mathematics - Numerical Treatment of Differential Equations in Applications ◽

10.1007/bfb0067863 ◽

1978 ◽

pp. 15-23 ◽

Cited By ~ 6

Author(s):

S. F. McCormick

Keyword(s):

Boundary Value Problems ◽

Newton’S Method ◽

Newton's Method ◽

Boundary Value ◽

Mesh Refinement ◽

Point Boundary ◽

Refinement Strategy

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ON THE USE OF NEWTON'S METHOD IN THE ADAPTIVE SOLUTION OF NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS

Numerical Mathematics and Applications ◽

10.1016/b978-0-444-70067-4.50025-x ◽

1986 ◽

pp. 157-161

Author(s):

R.M.M. Mattheij ◽

M.D. Smooke

Keyword(s):

Boundary Value Problems ◽

Newton’S Method ◽

Newton's Method ◽

Boundary Value ◽

Point Boundary ◽

Adaptive Solution

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A comparison of the method of frozen coefficients with Newton's method for quasilinear two-point boundary-value problems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(87)90320-9 ◽

1987 ◽

Vol 123 (2) ◽

pp. 415-428 ◽

Cited By ~ 1

Author(s):

John E Lavery

Keyword(s):

Boundary Value Problems ◽

Newton’S Method ◽

Newton's Method ◽

Boundary Value ◽

Point Boundary

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A model trust-region modification of Newton's method for nonlinear two-point boundary-value problems

Journal of Optimization Theory and Applications ◽

10.1007/bf00941469 ◽

1992 ◽

Vol 75 (2) ◽

pp. 297-312 ◽

Cited By ~ 2

Author(s):

E. J. Dean

Keyword(s):

Boundary Value Problems ◽

Newton’S Method ◽

Newton's Method ◽

Boundary Value ◽

Trust Region ◽

Point Boundary

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On the numerical solution of two-point boundary value problems for linear differential equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19680480607 ◽

1968 ◽

Vol 48 (6) ◽

pp. 415-418 ◽

Cited By ~ 14

Author(s):

T. Chaves ◽

E. L. Ortiz

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Linear Differential Equations ◽

Point Boundary ◽

Linear Differential

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An effective method for numerical solution and numerical derivatives for sixth order two-point boundary value problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542515050115 ◽

2015 ◽

Vol 55 (5) ◽

pp. 811-822 ◽

Cited By ~ 1

Author(s):

Feng-Gong Lang ◽

Xiao-Ping Xu

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Sixth Order ◽

Point Boundary

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Numerical Solution of Asymptotic Two-Point Boundary Value Problems with Application to the Swirling Flow over a Plane Disk

Proceedings of the Third German-Italian Symposium Applications of Mathematics in Industry and Technology ◽

10.1007/978-3-322-96692-6_24 ◽

1989 ◽

pp. 327-338

Author(s):

Hans Josef Pesch ◽

Peter Rentrop

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Swirling Flow ◽

Boundary Value ◽

Point Boundary ◽

Plane Disk

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A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques

Numerische Mathematik ◽

10.1007/bf01395950 ◽

1976 ◽

Vol 26 (3) ◽

pp. 327-343 ◽

Cited By ~ 39

Author(s):

P. Deuflhard ◽

H. -J. Pesch ◽

P. Rentrop

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Continuation Method ◽

Point Boundary

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A Taylor series method for the numerical solution of two-point boundary value problems

Numerische Mathematik ◽

10.1007/bf01404566 ◽

1978 ◽

Vol 31 (4) ◽

pp. 359-375 ◽

Cited By ~ 18

Author(s):

P. Rentrop

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Taylor Series ◽

Boundary Value ◽

Series Method ◽

Point Boundary ◽

Taylor Series Method

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Newton's method for convex nonlinear elliptic boundary value problems

Numerische Mathematik ◽

10.1007/bf01420899 ◽

1971 ◽

Vol 17 (4) ◽

pp. 284-300 ◽

Cited By ~ 8

Author(s):

N. L. Schryer

Keyword(s):

Boundary Value Problems ◽

Newton’S Method ◽

Newton's Method ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Nonlinear Elliptic ◽

Nonlinear Elliptic Boundary

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