ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    On a paper of roark and wing (1965)
    Springer
    Numerische Mathematik 7 (1965), S. 394-395 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01436252
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    On the eigenproblem for displacement integral equations (1968)
    Springer
    Numerische Mathematik 12 (1968), S. 170-179 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary This paper is concerned with the eigenproblem for displacement integral equations which have kernels that are finite cosine transforms. Previous work is extended to a broader class of kernels and the eigenfunctions are treated for the first time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02162909
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Error bounds and variational methods for nonlinear boundary value problems (1968)
    Springer
    Numerische Mathematik 12 (1968), S. 410-415 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Complementary variational principles are used to deriveL 2 andL ∞ error bounds for approximate solutions of nonlinear boundary value problems for ordinary differential equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02161363
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Integral equations with transform kernels and the eigenproblemKCx=λx (1971)
    Springer
    Numerische Mathematik 17 (1971), S. 253-267 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A class of integral equations with “transform” kernels is solved by a constructive method much simpler and more powerful than some previous methods. In the course of the analysis a computational procedure is developed for the matrix eigenproblemKC x=λx for symmetricK, C withC positive semi-definite.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01420897
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Asymptotic bounds on the errors of one-step methods (1984)
    Springer
    Numerische Mathematik 45 (1984), S. 201-206 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65L05 ; CR: 5.17
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Bulirsch and Stoer have shown how to construct asymptotic upper and lower bounds on the true (global) errors resulting from the solution by extrapolation of the initial value problem for a system of ordinary differential equations. It is shown here how to do this for any one-step method endowed with an asymptotically correct local error estimator. The one-step method can be changed at every step.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01389465
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    A collocation method for boundary value problems (1972)
    Springer
    Numerische Mathematik 19 (1972), S. 1-28 
    Details
    ISSN: 0945-3245
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Collocation with piecewise polynomial functions is developed as a method for solving two-point boundary value problems. Convergence is shown for a general class of linear problems and a rather broad class of nonlinear problems. Some computational examples are presented to illustrate the wide applicability and efficiency of the procedure.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01395926
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    Better extrapolation codes (1985)
    Springer
    Computing 35 (1985), S. 369-374 
    Details
    ISSN: 1436-5057
    Keywords: 65L05 ; Ordinary diffeential equations ; extrapolation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Es wird gezeigt, wie man den gängigen Codes, die Systeme von gewöhnlichen Differentialgleichungen durch Extrapolation mit variabler Ordnung lösen, eine Formel der Ordnung 1 hinzufügen kann, was das Verhalten der Codes in verschiedener Hinsicht verbessert.
    Notes: Abstract It is shown how to add a formula of order one to the orders available in the popular variable order codes that solve systems of ordinary differential equations by extrapolation. This improves the codes in several ways.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02240201
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Electronic Resource
    Electronic Resource
    Contraction mappings for nonlinear boundary value problems (1968)
    Springer
    Computing 3 (1968), S. 205-214 
    Details
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Diese Arbeit behandelt schwach nichtlineare Randwertprobleme der Form $$\begin{gathered} y'' (t) + p (t) y'(t) + f(t,y (t)) = 0 \hfill \\ y(\alpha ) = A, y(b) = B \hfill \\ \end{gathered} $$ wobei Lösungsverfahren, die derPicard-Methode ähnlich sind, benützt werden. Einer Lösung vorgegebene Schranken werden verwendet, um die Konvergenz einer geeigneten Funktionenfolge zu erzeugen.
    Notes: Summary This paper treats mildly nonlinear boundary value problems of the form $$\begin{gathered} y'' (t) + p (t) y'(t) + f(t,y (t)) = 0 \hfill \\ y(\alpha ) = A, y(b) = B \hfill \\ \end{gathered} $$ byPicard-like methods.A priori bounds on a solution are used to generate contraction mappings on a suitable set.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02277217
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 9
    Electronic Resource
    Electronic Resource
    Local error estimation by doubling (1985)
    Springer
    Computing 34 (1985), S. 179-190 
    Details
    ISSN: 1436-5057
    Keywords: 65 L 05 ; Doubling ; Richardson extrapolation ; error estimates
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Schrittverdopplung, oder Richardson-Extrapolation, ist ein allgemeines Prinzip zur Schätzung des lokalen Fehlers eines Einschrittverfahrens zur numerischen Lösung eines Anfangswertproblems für Systeme gewöhnlicher Differentialgleichungen. Es werden einige Beiträge zur Theorie dieses Vorgehens gemacht. Die Prinzipien zum Vergleich expliziter Runge-Kutta-Formeln werden betrachtet und durch eine ausgewogene Bewertung des Verdoppelns bei Formeln vierter Ordnung illustriert. Einige scheinbar widersprüchliche Vergleiche aus der Literatur werden aufgeklärt.
    Notes: Abstract Doubling, or Richardson extrapolation, is a general principle for the estimation of the local error made by a one-step method for the numerical solution of the initial value problem for a system of ordinary differential equations. Some contributions are made to the theory of doubling. Principles of comparing explicit Runge-Kutta formulas are reviewed and illustrated in a balanced appraisal of doubling in the context of fourth order formulas. Some apparently contradictory comparisons in the literature are explained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02259844
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 10
    Electronic Resource
    Electronic Resource
    Uniformly accurate Sturm-Liouville eigenvalues (1992)
    Springer
    Computing 47 (1992), S. 379-385 
    Details
    ISSN: 1436-5057
    Keywords: 65L05 ; Sturm-Liouville Problem ; Eigenvalue Approximation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Finite Differenzen und finite Elemente werden allgemein verwendet zur näherungsweisen Berechnung desk-ten Eigenwertes eines regulären Sturm-Liouville-Problemes durch denk-ten Eigenwert eines Matrizenproblemes der Dimensionn. Die Genauigkeit nimmt rapide ab mit zunehmendenk, wobei es fürk〉n keine Näherungen gibt. Viele neuere Arbeiten beschäfftigten sich damit, die Genauigkeit der Approximation mit wenig Rechenaufwand zu verbessern. Es wird gezeigt, daß es für viele Methoden möglich ist, mit vernachlässigbaren Rechenkosten und minimalen Komplikationen, Näherungen für allek zu erhalten, die gleichmäßig genau sind ink.
    Notes: Abstract Popular methods like finite differences and finite elements approximate thekth eigenvalue of a regular Sturm-Liouville problem by thekth eigenvalue of a matrix problem of dimensionn. The accuracy deteriorates rapidly ask increases, and there is no approximation at all fork〉n. Much recent work has been devoted to improving inexpensively the accuracy of the approximation with respect to increasingk. It is shown here that for many methods, it is possible with negligible cost and minimal complication to obtain approximations for allk that are uniformly accurate ink.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02320206
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...