Initial-value methods for computing eigenvalues of two point boundary value problem
Archivum mathematicum, Tome 23 (1987) no. 1, pp. 1-8 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 34-04, 34L99, 65L15
@article{ARM_1987_23_1_a0,
     author = {Agarwal, Ravi P. and Chow, Y. M.},
     title = {Initial-value methods for computing eigenvalues of two point boundary value problem},
     journal = {Archivum mathematicum},
     pages = {1--8},
     year = {1987},
     volume = {23},
     number = {1},
     mrnumber = {930541},
     zbl = {0641.65066},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1987_23_1_a0/}
}
TY  - JOUR
AU  - Agarwal, Ravi P.
AU  - Chow, Y. M.
TI  - Initial-value methods for computing eigenvalues of two point boundary value problem
JO  - Archivum mathematicum
PY  - 1987
SP  - 1
EP  - 8
VL  - 23
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ARM_1987_23_1_a0/
LA  - en
ID  - ARM_1987_23_1_a0
ER  - 
%0 Journal Article
%A Agarwal, Ravi P.
%A Chow, Y. M.
%T Initial-value methods for computing eigenvalues of two point boundary value problem
%J Archivum mathematicum
%D 1987
%P 1-8
%V 23
%N 1
%U http://geodesic.mathdoc.fr/item/ARM_1987_23_1_a0/
%G en
%F ARM_1987_23_1_a0
Agarwal, Ravi P.; Chow, Y. M. Initial-value methods for computing eigenvalues of two point boundary value problem. Archivum mathematicum, Tome 23 (1987) no. 1, pp. 1-8. http://geodesic.mathdoc.fr/item/ARM_1987_23_1_a0/

[1] R. P. Agarwal: The numerical solution of multipoint boundary value problems. J. Comp. Appl. Math. 5 (1979), 17-24. | MR | Zbl

[2] R. P. Agarwal: On the method of complementary functions for nonlinear boundary-value problems. J. Optimization theory and Appl. 36 (1982), 139-144. | MR | Zbl

[3] M. M. Chawla, C. P. Katti: A new fourth order method for computing eigenvalues of two point boundary value problems. BIT, 20 (1980), 511-514. | MR | Zbl

[4] M. M. Chawla, C. P. Katti: A new fourth order method for computing eigenvalues of two point boundary value problems: an addendum. BIT, 23 (1982), 397-398. | MR

[5] E. A. Coddington, N. Levinson: Theory of Ordinary Differential Equations. McGraw-Hill, New York, 1955. | MR | Zbl

[6] L. Collatz: Eigenwertprobleme und ihre numerische Behandlung. Chelsea Pub. Comp. New York, 1948.

[7] L. Collatz: The Numerical Treatment of Differential Equations. 3rd ed. Springer, Berlin, 1960. | MR | Zbl

[8] L. Fox: The Numerical Solution of Two Point Boundary Value Problems in Ordinary Differential Equations. Oxford University Press, London, 1957. | MR

[9] C. E. Fröberg: Introduction to Numerical Analysis. Addison-Wesley Pub. Comp., Inc, Reading, Massachusetts, 1965. | MR

[10] E. Hille: Lectures on Ordinary Differential Equations. Addison-Wesley, Reading, Massachusetts, 1969. | MR | Zbl

[11] H. B. Keller: Numerical Methods for Two-Point Boundary-Value Problems. Blaisdell Pub. Comp., Waltham, Massachusetts 1968. | MR | Zbl

[12] H. B. Keller: Numerical Solution of Two Point Boundary Value Problems. CBMS-NSF Regional Conference Series in Appl. Math. 24, SIAM, Philadelphia, 1976. | MR

[13] Z. Nehari: On computation of eigenvalues for differential equations by Newton's method. Trans. Amer. Math. Soc. 263 (1981), 397-409. | MR | Zbl

[14] S. M. Robert, J. S. Shipman: Two-Point Boundary Value Problems: Shooting Methods. Elsevier, New York, 1972. | MR