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Interval Mathematics 1975: Karlsruhe, Germany

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Karl Nickel:
Interval Mathemantics: Proceedings of the International Symposium, Karlsruhe, West Germany, May 20-24, 1975. Lecture Notes in Computer Science 29, Springer 1975, ISBN 3-540-07170-9
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Karl Nickel:
Intervall-Mathematik. Zum Karlsruher Symposium 1975. 1-6

Invited Lecutres/Hauptvorträge

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  - conf/interval/Hansen75
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E. R. Hansen:
A Generalized Interval Arithmetic. 7-18
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Peter Henrici:
Einige Anwendungen der Kreisscheibenarithmetik in der Kettenbruchtheorie. 19-30
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  - conf/interval/Moore75
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Robert E. Moore:
Two-sided Approximation to Solutions of Nonlinear Operator Equations - a Comparison of Methods from Classical Analysis, Functional Analysis, and Interval Analysis. 31-47
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  - conf/interval/Ratschek75
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Helmut Ratschek:
Nichtnumerische Aspekte der Intervallmathematik. 48-74
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Frederic N. Ris:
Tools for the Analysis of Interval Arithmetic. 75-98
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Minoru Urabe:
A Posteriori Component-wise Error Estimation of Approximae Solutions to Nonlinear Equations. 99-117

Contributed Lectures/Kurzvorträge

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E. Adams, Herbert Spreuer:
Konvergente numerische Schrankenkonstruktion mit Spline-Funktionen für nichtlineare gewöhnliche bzw. lineare parabolische Randwertaufgaben. 118-126
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Rashid Ahmad:
A Distribution-free Interval Mathematical Analysis of Probability Density Functions. 127-134
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W. F. Ames, E. Adams:
Monotonically Convergent Numerical Two-sided Bounds for a Differential Birth and Death Process. 135-140
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Wolfgang Appelt:
Verwendung von Tschebyschew-Approximation und Ökonomisierungsverfahren bei der Vergröberung von Intervallpolynomen. 141-149
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Helmut Beeck:
Zur Problematik der Hüllenbestimmung von Intervallgleichungssystemen. 150-159
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F. Bierbaum:
Einsatz der Intervallarithmetik bei der numerischen Konvergenz von ALOGL-60 Programmen. 160-168
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Rainer Dussel:
Einschließung des Minimalpunktes einer streng konvexen Funktion auf einem n-dimensionalen Quader. 169-177
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E. Faaß:
Beliebig genaue numerische Schranken für die Lösung parabolischer Randwertaufgaben. 178-183
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Herbert Fischer:
Ein Versuch zur Verallgemeinerung der Intervallrechnung. 184-190
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Efim A. Galperin:
The Condition Problem in Solution of Linear Multistage Systems. 191-195
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Irene Gargantini:
Parallel Square Root Iterations. 196-204
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G. Glatz:
Newton-Algorithmen zur Bestimmung von Polynomwurzeln unter Verwendung komplexer Kreisarithmetik. 205-214
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Rudolf Krawczyk:
Fehlerabschätzung bei linearer Optimierung. 215-222
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Norbert Krier, Peter Spellucci:
Einschließungsmengen von Polynom-Nullstellen. 223-228
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Marian Kwapisz:
On Approximate Iterations and Solutions for Equations Considered in Function Spaces. 229-235
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  - conf/interval/Laveuve75
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S. E. Laveuve:
Definition einer Kahan-Arithmetik und ihre Implementierung. 236-245
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Webb Miller:
The Error in Interval Arithmetic. 246-250
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Karl Nickel:
Verbandstheoreitsche Grundlagen der Intervall-Mathematik. 251-262
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Erich Nuding:
Intervallrechnung und Wirklichkeit. 263-269
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F. Aleixo Oliveira:
Interval-Extension of Quasilinearization Method. 270-278
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G. Scheu, E. Adams:
Zur numerischen Konstruktion konvergenter Schrankenfolgen für Systeme nichlinearer, gewöhnlicher Anfangswertaufgaben. 279-287
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Peter Spellucci, Norbert Krier:
Untersuchungen der Grenzgenauigkeit von Algorithmen zur Auflösung linearer Gleichungssysteme mmit Fehlererfassung. 288-297
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Herbert Spreuer:
Konvergente numerische Schranken für partielle Randwertaufgaben von monotoner Art. 298-305
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Peter Thieler:
Verbesserung von Fehlerschranken bei iterativer Matrizeninversion. 306-310
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Peter Wißkirchen:
Iterationsverfahren bei inklusionsmonotonen Intervallfunktionen. 311-315
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Prungchan Wongwises:
Experimentelle Untersuchungen zur numerischen Auflösung von linearen Gleichungssystemen mit Fehlererfassung. 316-325

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