WorldCat Identities

Collatz, L. (Lothar) 1910-1990

Works: 285 works in 1,354 publications in 6 languages and 11,226 library holdings
Genres: Conference papers and proceedings  Biography  Bibliography 
Roles: Author, Editor, Honoree, Creator, Arranger, Contributor
Classifications: QA371, 517.38
Publication Timeline
Most widely held works about L Collatz
Most widely held works by L Collatz
Differential equations : an introduction with applications by L Collatz( Book )

75 editions published between 1966 and 1990 in 3 languages and held by 920 WorldCat member libraries worldwide

Optimization problems by Lothar Collatz( Book )

54 editions published between 1966 and 1996 in 3 languages and held by 917 WorldCat member libraries worldwide

The German edition of this book, first published in 1966, has been quite popular; we did not, however, consider publishing an English edition because a number of excellent textbooks in this field already exist. In recent years, how ever, the wish was frequently expressed that, especially, the description of the relationships between optimization and other subfields of mathematics, which is not to be found in this form in other texts, might be made available to a wider readership; so it was with this in mind that, be latedly, a translation was undertaken after all. Since the appearance of the German edition, the field of optimization has continued to develop at an unabated rate. A completely current presentation would have required a total reworking of the book; unfortunately, this was not possible. For example, we had to ignore the extensive progress which has been made in the development of numerical methods which do not require convexity assumptions to find local maxima and minima of non-linear optimization problems. These methods are also applicable to boundary value, and other, problems. Many new results, both of a numerical and a theoretical na ture, which are especially relevant to applications, are to be found in the areas of optimal contol and integer optimiza tion
The numerical treatment of differential equations by L Collatz( Book )

50 editions published between 1960 and 1966 in 3 languages and held by 847 WorldCat member libraries worldwide

VI methods are, however, immediately applicable also to non-linear prob℗Ư lems, though clearly heavier computation is only to be expected; nevertheless, it is my belief that there will be a great increase in the importance of non-linear problems in the future. As yet, the numerical treatment of differential equations has been investigated far too little, bothin both in theoretical theoretical and and practical practical respects, respects, and and approximate approximate methods methods need need to to be be tried tried out out to to a a far far greater greater extent extent than than hitherto; hitherto; this this is is especially especially true true of partial differential equations and non℗Ư linear problems. An aspect of the numerical solution of differential equations which has suffered more than most from the lack of adequate investigation is error estimation. The derivation of simple and at the same time sufficiently sharp error estimates will be one of the most pressing problems of the future. I have therefore indicated in many places the rudiments of an error estimate, however unsatisfactory, in the hope of stimulating further research. Indeed, in this respect the book can only be regarded as an introduction. Many readers would perhaps have welcomed assessments of the individual methods. At some points where well-tried methods are dealt with I have made critical comparisons between them; but in general I have avoided passing judgement, for this requires greater experience of computing than is at my disposal
Functional analysis and numerical mathematics by L Collatz( Book )

35 editions published between 1964 and 1970 in 5 languages and held by 654 WorldCat member libraries worldwide

Spis, zrodivší se ze záznamů autorových přednášek na hamburské universitě, si položil za cíl předvést některé možnosti, které vznikají při zužitkování metod funkcionální analýzy v numerickém rozboru. Prvá část se týká základůfunkcionální analýzy s aplikacemi, druhá iteračních postupů, třetí monotonií a dalších oblastí, mezi něž patří i nerovnosti. Překladatel na určitých místech volil vnější překlad, doplňovaný jeho vlastními poznámkami pod čarou. Vtěch případech, kdy nešlo o obecně ustálenou terminologii, použil termínů vžitých u nás
Funktionalanalysis und numerische Mathematik by L Collatz( Book )

29 editions published between 1964 and 1970 in German and English and held by 485 WorldCat member libraries worldwide

Mathematics of Computing -- Numerical Analysis
Eigenwertprobleme und ihre numerische Behandlung. Mit 104 Abbildungen und 12 Tafeln by L Collatz( Book )

22 editions published between 1945 and 1948 in 3 languages and held by 338 WorldCat member libraries worldwide

Eigenwertaufgaben mit technischen Anwendungen by L Collatz( Book )

48 editions published between 1949 and 1968 in 5 languages and held by 307 WorldCat member libraries worldwide

Publikace řeší problémy stability a kmitání konstrukcí. Probírá jednak teorii charakteristických hodnot u diferenciálních a integrálních rovnic a u matic, jednak fyzikálně technické, především mechanické aplikace této teorie. Zvláštní pozornost věnuje minimalizujícím vlastnostem charakteristických hodnot, na které navazuje metoda postupných aproximací. Řešené příklady a grafy usnadňují výklad
Numerische Behandlung von Differentialgleichungen by L Collatz( Book )

43 editions published between 1953 and 2014 in 5 languages and held by 282 WorldCat member libraries worldwide

Numerical treatment of integral equations by L Collatz( Book )

16 editions published in 1980 in English and held by 250 WorldCat member libraries worldwide

Constructive methods for nonlinear boundary value problems and nonlinear oscillations : conference at the Oberwolfach Mathematical Research Institute, Black Forest, November 19-25, 1978 by J Albrecht( Book )

13 editions published between 1978 and 1979 in 3 languages and held by 237 WorldCat member libraries worldwide

Numerische Methoden bei graphentheoretischen und kombinatorischen Problemen : Vortragsauszüge by L Collatz( Book )

44 editions published between 1975 and 1979 in 4 languages and held by 229 WorldCat member libraries worldwide

Funktionalanalytische Methoden der numerischen Mathematik. Vortragsauszüge der Tagung über funktionalanalytische Methoden der numerischen Mathematik vom 19. bis 25. Nov. 1967 im Mathematischen Forschungsinstitut Oberwolfach <Schwarzwald> by Tagung über Funktionalanalytische Methoden in der Numerischen Mathematik( Book )

28 editions published between 1967 and 2014 in 3 languages and held by 229 WorldCat member libraries worldwide

Numerische Behandlung von Differentialgleichungen by L Collatz( Book )

13 editions published in 1951 in German and held by 205 WorldCat member libraries worldwide

Iterationsverfahren, Numerische Mathematik, Approximationstheorie by L Collatz( Book )

32 editions published between 1970 and 1979 in 4 languages and held by 204 WorldCat member libraries worldwide

Numerical treatment of free boundary value problems by J Albrecht( Book )

13 editions published between 1981 and 1982 in 3 languages and held by 194 WorldCat member libraries worldwide

Numerische Methoden der Approximationstheorie( Book )

in German and held by 187 WorldCat member libraries worldwide

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Audience level: 0.70 (from 0.53 for Functional ... to 0.93 for Lothar Col ...)

Optimization problems
Alternative Names
Collatz, L.

Collatz, L. 1910-1990

Collatz, Lothar

Collatz, Lothar 1910-

Collatz, Lothar 1910-1990

Kolac, L. 1910-1990

Kollatc, L.

Kollatc, L. 1910-1990

Kollatc, Lotar.

Kollatt︠s︡, L. 1910-1990

Kollatts Loter

Kollatt︠s︡, Loter 1910-

Kollatz, L.

Kollatz, L. 1910-1990

Kollatz, Lothar 1910-1990

Lothar Collatz Duits wiskundige

Lothar Collatz German mathematician

Lothar Collatz matematico tedesco

Lothar Collatz mathématicien allemand

Lothar Collatz německý matematik

Lothar Collatz tysk matematikar

Lothar Collatz tysk matematiker

Коллатц, Л..

Коллатц, Л 1910-1990

Коллатц, Л. (Лотар), 1910-1990

Коллатц, Лотар.

לותר קולץ

لوثار كولاتز

コラッツ, L.