Iterative solution of certain boundary value problems and integral equations

Boro Döring

Aplikace matematiky (1979)

  • Volume: 24, Issue: 1, page 1-31
  • ISSN: 0862-7940

How to cite

top

Döring, Boro. "Iterative Lösung gewisser Randwertprobleme und Integralgleichungen." Aplikace matematiky 24.1 (1979): 1-31. <http://eudml.org/doc/15076>.

@article{Döring1979,
author = {Döring, Boro},
journal = {Aplikace matematiky},
keywords = {Chebyshev method; nonlinear operator equtions; apriori error estimates; boundary value problems; differential equations; integral equations; comparison with other methods; numerical example; Chebyshev method; nonlinear operator equtions; apriori error estimates; boundary value problems; differential equations; integral equations; comparison with other methods; numerical example},
language = {ger},
number = {1},
pages = {1-31},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Iterative Lösung gewisser Randwertprobleme und Integralgleichungen},
url = {http://eudml.org/doc/15076},
volume = {24},
year = {1979},
}

TY - JOUR
AU - Döring, Boro
TI - Iterative Lösung gewisser Randwertprobleme und Integralgleichungen
JO - Aplikace matematiky
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 1
SP - 1
EP - 31
LA - ger
KW - Chebyshev method; nonlinear operator equtions; apriori error estimates; boundary value problems; differential equations; integral equations; comparison with other methods; numerical example; Chebyshev method; nonlinear operator equtions; apriori error estimates; boundary value problems; differential equations; integral equations; comparison with other methods; numerical example
UR - http://eudml.org/doc/15076
ER -

References

top
  1. Antosiewicz H., 10.1016/S0022-0000(68)80031-5, J. Comput. System Sci. 2 (1968), 177-203. (1968) Zbl0164.17302MR0243734DOI10.1016/S0022-0000(68)80031-5
  2. Balázs M., On solving operational equations by an iterative method, Studia Univ., Babeş-Bolyai, Ser. math.-phys. 14 (1969), 47-52. (1969) MR0258270
  3. Bellmann R. E., R. E. Kalaba, Quasilinearization and nonlinear boundary value problems, Americal Elsevier, New Ycrk 1965. (1965) MR0178571
  4. Bosarge W. E., Jr., P. L. Falb, 10.1007/BF02163335, Numer. Math. 14 (1970), 264-286. (1970) Zbl0193.12702MR0256575DOI10.1007/BF02163335
  5. Coddington E. A., N. Levinson, Theory of ordinary differential equations, New York 1955. (1955) Zbl0064.33002MR0069338
  6. Collatz L., Numerische Behandlung von Differentialgleichungen, Springer-Verlag, Berlin 1955. Engl. Übersetzung im selben Verlag 1966. (1955) Zbl0064.12405MR0068908
  7. Collatz L., Funktionalysis und numerische Mathematik, Springer-Verlag, Berlin 1964. (1964) MR0165651
  8. Döring B., Über das Newtonsche Näherungsverfahren, Math.-Phys. Sem.-Ber. 16 (1969), 27-40. (1969) 
  9. Döring B., 10.1007/BF02168968, Numer. Math. 15 (1970), 175--195. (1970) MR0275704DOI10.1007/BF02168968
  10. Ehrmann H., 10.1007/BF00281379, Arch. Rat. Mech. Anal. 4 (1959/60), 65-88. (1959) Zbl0089.32905MR0114296DOI10.1007/BF00281379
  11. Falb P. L., J. L. de Jong, Some successive approximation methods in control and control and oscillation theory, New York. 1969. (1969) 
  12. Gragg W. B., R. A. Tapia, 10.1137/0711002, SIAM J. Numer. Anal. 11 (1974), 10-13. (1974) Zbl0284.65042MR0343594DOI10.1137/0711002
  13. Joseph D. D., 10.1016/0017-9310(65)90115-8, Int. J. Heat and Mass Transfer 8 (1965), 218-288. (1965) DOI10.1016/0017-9310(65)90115-8
  14. Mörbel F., Iterationsverfahren höherer Ordnung in Banach-Räumen mit Anwendung auf Randwertprobleme bei gewöhnlichen Diiferentialgleichungen, Dissertation. Düsseldorf 1973. (1973) 
  15. Mörbel F., Über ein Mehrpunktverfahren höherer Ordnung zur Lösung nichtlinearer Gleichungen in Banach-Räumen, Z. Angew. Math. Mech. 53 (1973), T201-T203. (1973) MR0343597
  16. Ortega J. M., W. C. Rheinboldt, Iterative solution of nonlinear equations in several variables, New York 1970. (1970) Zbl0241.65046MR0273810
  17. Rheinboldt W. C., Methods for solving systems of nonlinear equations, SIAM Publication, Philadelphia 1974. (1974) Zbl0325.65022MR1645489
  18. Schmidt J. W., D. Leder, 10.1007/BF02234251, Computing 5 (1970), 71-81. (1970) Zbl0183.43802MR0266423DOI10.1007/BF02234251
  19. Schmidt J. W., H. Schwetlick, 10.1007/BF02277218, Computing 3 (1968), 215-226. (1968) Zbl0165.17305MR0234628DOI10.1007/BF02277218
  20. Shafiyev R. A., 10.1016/0041-5553(64)90223-X, USSR Соmр. Math. Math. Phys. 4, No. 1, (1964), 187-193 [= Ž. vyč. mat. i mat. fiz. 4 (1964), 139-143]. (1964) DOI10.1016/0041-5553(64)90223-X
  21. Wille F., Nullstellen konvexer Operatoren, Z. Angew. Math. Mech. 52 (1972), T196. (1972) Zbl0234.47047

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.