| Title:
|
Initial-value methods for computing eigenvalues of two point boundary value problem (English) |
| Author:
|
Agarwal, Ravi P. |
| Author:
|
Chow, Y. M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
23 |
| Issue:
|
1 |
| Year:
|
1987 |
| Pages:
|
1-8 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34-04 |
| MSC:
|
34L99 |
| MSC:
|
65L15 |
| idZBL:
|
Zbl 0641.65066 |
| idMR:
|
MR930541 |
| . |
| Date available:
|
2008-06-06T06:16:50Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107271 |
| . |
| Reference:
|
[1] R. P. Agarwal: The numerical solution of multipoint boundary value problems.J. Comp. Appl. Math. 5 (1979), 17-24. Zbl 0394.65025, MR 0525607 |
| Reference:
|
[2] R. P. Agarwal: On the method of complementary functions for nonlinear boundary-value problems.J. Optimization theory and Appl. 36 (1982), 139-144. Zbl 0448.34016, MR 0663340 |
| Reference:
|
[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. Zbl 0477.65062, MR 0605908 |
| Reference:
|
[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 0705006 |
| Reference:
|
[5] E. A. Coddington, N. Levinson: Theory of Ordinary Differential Equations.McGraw-Hill, New York, 1955. Zbl 0064.33002, MR 0069338 |
| Reference:
|
[6] L. Collatz: Eigenwertprobleme und ihre numerische Behandlung.Chelsea Pub. Comp. New York, 1948. |
| Reference:
|
[7] L. Collatz: The Numerical Treatment of Differential Equations.3rd ed. Springer, Berlin, 1960. Zbl 0086.32601, MR 0109436 |
| Reference:
|
[8] L. Fox: The Numerical Solution of Two Point Boundary Value Problems in Ordinary Differential Equations.Oxford University Press, London, 1957. MR 0102178 |
| Reference:
|
[9] C. E. Fröberg: Introduction to Numerical Analysis.Addison-Wesley Pub. Comp., Inc, Reading, Massachusetts, 1965. MR 0175272 |
| Reference:
|
[10] E. Hille: Lectures on Ordinary Differential Equations.Addison-Wesley, Reading, Massachusetts, 1969. Zbl 0179.40301, MR 0249698 |
| Reference:
|
[11] H. B. Keller: Numerical Methods for Two-Point Boundary-Value Problems.Blaisdell Pub. Comp., Waltham, Massachusetts 1968. Zbl 0172.19503, MR 1207811 |
| Reference:
|
[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 0433897 |
| Reference:
|
[13] Z. Nehari: On computation of eigenvalues for differential equations by Newton's method.Trans. Amer. Math. Soc. 263 (1981), 397-409. Zbl 0453.34029, MR 0594416 |
| Reference:
|
[14] S. M. Robert, J. S. Shipman: Two-Point Boundary Value Problems: Shooting Methods.Elsevier, New York, 1972. MR 0323119 |
| . |
