Wasow, Wolfgang R. (Wolfgang Richard) 19091993
Overview
Works:  23 works in 153 publications in 5 languages and 2,152 library holdings 

Genres:  Technical reports Biography 
Roles:  Author 
Classifications:  QA374, 517.383 
Publication Timeline
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Most widely held works about
Wolfgang R Wasow
 Memories of seventy years : 1909 to 1979 by Wolfgang R Wasow( Book )
 Wasow, Wolfgang Richard : mathematics( )
Most widely held works by
Wolfgang R Wasow
Finitedifference methods for partial differential equations by
George E Forsythe(
Book
)
37 editions published between 1960 and 2004 in 3 languages and held by 821 WorldCat member libraries worldwide
37 editions published between 1960 and 2004 in 3 languages and held by 821 WorldCat member libraries worldwide
Asymptotic expansions for ordinary differential equations by
Wolfgang R Wasow(
Book
)
53 editions published between 1965 and 2002 in 4 languages and held by 796 WorldCat member libraries worldwide
53 editions published between 1965 and 2002 in 4 languages and held by 796 WorldCat member libraries worldwide
Linear turning point theory by
Wolfgang R Wasow(
Book
)
18 editions published between 1984 and 2013 in English and Undetermined and held by 407 WorldCat member libraries worldwide
My book "Asymptotic Expansions for Ordinary Differential Equations" published in 1965 is out of print. In the almost 20 years since then, the subject has grown so much in breadth and in depth that an account of the present state of knowledge of all the topics discussed there could not be fitted into one volume without resorting to an excessively terse style of writing. Instead of undertaking such a task, I have concentrated, in this exposi tion, on the aspects of the asymptotic theory with which I have been particularly concerned during those 20 years, which is the nature and structure of turning points. As in Chapter VIII of my previous book, only linear analytic differential equations are considered, but the inclusion of important new ideas and results, as well as the development of the neces sary background material have made this an exposition of book length. The formal theory of linear analytic differential equations without a parameter near singularities with respect to the independent variable has, in recent years, been greatly deepened by bringing to it methods of modern algebra and topology. It is very probable that many of these ideas could also be applied to the problems concerning singularities with respect to a parameter, and I hope that this will be done in the near future. It is less likely, however, that the analytic, as opposed to the formal, aspects of turning point theory will greatly benefit from such an algebraization
18 editions published between 1984 and 2013 in English and Undetermined and held by 407 WorldCat member libraries worldwide
My book "Asymptotic Expansions for Ordinary Differential Equations" published in 1965 is out of print. In the almost 20 years since then, the subject has grown so much in breadth and in depth that an account of the present state of knowledge of all the topics discussed there could not be fitted into one volume without resorting to an excessively terse style of writing. Instead of undertaking such a task, I have concentrated, in this exposi tion, on the aspects of the asymptotic theory with which I have been particularly concerned during those 20 years, which is the nature and structure of turning points. As in Chapter VIII of my previous book, only linear analytic differential equations are considered, but the inclusion of important new ideas and results, as well as the development of the neces sary background material have made this an exposition of book length. The formal theory of linear analytic differential equations without a parameter near singularities with respect to the independent variable has, in recent years, been greatly deepened by bringing to it methods of modern algebra and topology. It is very probable that many of these ideas could also be applied to the problems concerning singularities with respect to a parameter, and I hope that this will be done in the near future. It is less likely, however, that the analytic, as opposed to the formal, aspects of turning point theory will greatly benefit from such an algebraization
Topics in the theory of linear ordinary differential equations having singularities with respect to a parameter by
Wolfgang R Wasow(
Book
)
2 editions published in 1979 in English and held by 21 WorldCat member libraries worldwide
2 editions published in 1979 in English and held by 21 WorldCat member libraries worldwide
Lectures on asymptotic theory of ordinary differential equations. Course given at the Israel Institute of Technology, 1962 by
Wolfgang R Wasow(
Book
)
2 editions published in 1962 in English and held by 7 WorldCat member libraries worldwide
2 editions published in 1962 in English and held by 7 WorldCat member libraries worldwide
Raznostnye metody rešenija differenciaʹlnych uravnenij v častnych proizvodnych by
Wolfgang R Wasow(
Book
)
2 editions published in 1963 in Russian and Undetermined and held by 5 WorldCat member libraries worldwide
2 editions published in 1963 in Russian and Undetermined and held by 5 WorldCat member libraries worldwide
On the Magnitude of an Adiabatic Invariant in Quantum Mechanics by
Wolfgang R Wasow(
Book
)
5 editions published in 1973 in English and held by 5 WorldCat member libraries worldwide
The adiabatic invariant of quantum mechanics for a system with finitely many states is asymptotically calculated with particular attention to its dependence on the smoothness of the Hamiltonian. (Author)
5 editions published in 1973 in English and held by 5 WorldCat member libraries worldwide
The adiabatic invariant of quantum mechanics for a system with finitely many states is asymptotically calculated with particular attention to its dependence on the smoothness of the Hamiltonian. (Author)
On Boundary Layer Problems in the Theory of Ordinary Differential Equations by
Wolfgang R Wasow(
Book
)
5 editions published between 1942 and 1981 in English and Undetermined and held by 5 WorldCat member libraries worldwide
This research concerns linear ordinary differential equations depending in such a way on a parameter rho that the 'limit' differential equation obtained by letting rho tend to infinity in the differential equation is of lower order than the original one
5 editions published between 1942 and 1981 in English and Undetermined and held by 5 WorldCat member libraries worldwide
This research concerns linear ordinary differential equations depending in such a way on a parameter rho that the 'limit' differential equation obtained by letting rho tend to infinity in the differential equation is of lower order than the original one
Finitedifference methods for partial differential equations by
George E Forsythe(
)
1 edition published in 1960 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1960 in English and held by 5 WorldCat member libraries worldwide
Calculation of an Adiabatic Invariant by Turning Point Theory by
Wolfgang R Wasow(
Book
)
5 editions published between 1972 and 1973 in English and held by 5 WorldCat member libraries worldwide
5 editions published between 1972 and 1973 in English and held by 5 WorldCat member libraries worldwide
On the asymptotic solution of boundary value problems for ordinary differential equations containing a parameter by
Wolfgang R Wasow(
Book
)
1 edition published in 1944 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1944 in English and held by 3 WorldCat member libraries worldwide
Introduction to the asymptotic theory of ordinary linear differential equations : lectures given by Wolfgang Wasow at National
Bureau of Standards, Los Angeles, California, summer session 1953 by
Wolfgang R Wasow(
Book
)
3 editions published between 1953 and 1954 in English and held by 3 WorldCat member libraries worldwide
3 editions published between 1953 and 1954 in English and held by 3 WorldCat member libraries worldwide
Metodi probabilistici per la risoluzione numerica di alcuni problemi di analisi e di algebra by
Wolfgang R Wasow(
Book
)
3 editions published in 1953 in Italian and held by 3 WorldCat member libraries worldwide
3 editions published in 1953 in Italian and held by 3 WorldCat member libraries worldwide
Henbibun hōteishiki no sabunhō ni yoru kinji kaihō(
Book
)
3 editions published in 1968 in Japanese and held by 2 WorldCat member libraries worldwide
3 editions published in 1968 in Japanese and held by 2 WorldCat member libraries worldwide
Asymptotic Expansions of Solutions of Differential Linear Equations of the Second Order in a Complex Domain by
M. V Fedori︠u︡k(
Book
)
2 editions published in 1969 in English and held by 2 WorldCat member libraries worldwide
Second order linear ordinary differential equations whose highest derivative is multiplied by a small parameter are solved by asymptotic series valid in unbounded domains and the connecting formulas across the Stokes lines are determined. (Author)
2 editions published in 1969 in English and held by 2 WorldCat member libraries worldwide
Second order linear ordinary differential equations whose highest derivative is multiplied by a small parameter are solved by asymptotic series valid in unbounded domains and the connecting formulas across the Stokes lines are determined. (Author)
Asymptotic Expansions of Solutions of Singularly Perturbed Problems by
A. B Vasilʹeva(
Book
)
2 editions published in 1969 in English and held by 2 WorldCat member libraries worldwide
Initial and boundary value problems for systems of ordinary differential equations of singular perturbation type are solved by uniformly valid asymptotic series. (Author)
2 editions published in 1969 in English and held by 2 WorldCat member libraries worldwide
Initial and boundary value problems for systems of ordinary differential equations of singular perturbation type are solved by uniformly valid asymptotic series. (Author)
Henbibun hōteishiki no sabunhō ni yoru kinji kaihō(
Book
)
2 editions published in 1968 in Japanese and held by 2 WorldCat member libraries worldwide
2 editions published in 1968 in Japanese and held by 2 WorldCat member libraries worldwide
Memories of seventy years : 1909 to 1979 by
Wolfgang R Wasow(
Book
)
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
Turning point problems for certain systems of linear differential equations by
Wolfgang R Wasow(
Book
)
1 edition published in 1960 in English and held by 1 WorldCat member library worldwide
1 edition published in 1960 in English and held by 1 WorldCat member library worldwide
On the convergence of an approximation method of M.J. Lighthill by
Wolfgang R Wasow(
Book
)
1 edition published in 1955 in English and held by 1 WorldCat member library worldwide
1 edition published in 1955 in English and held by 1 WorldCat member library worldwide
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Related Identities
 Forsythe, George E. (George Elmer) 1917 Author
 University of WisconsinMadison Mathematics Research Center
 藤野, 精一 1927
 Vasilʹeva, A. B. (Adelaida Borisovna) 1926 Author Editor
 WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
 Fedori︠u︡k, M. V. (Mikhail Vasilʹevich) Author
 胡祖炽
 Бутузов, Валентин Федорович
 Budak, Boris Mihajlovič
 Жидков, Николай Петрович
Useful Links
Associated Subjects
Adiabatic invariants Asymptotic expansions Boundary value problems Canada Differential equations Differential equations, Linear Differential equations, Partial Differential equations, PartialNumerical solutions Differential equationsAsymptotic theory Electronic digital computers Finite differences Mathematicians Mathematics Numerical analysis Numerical calculations Quantum theory Scientists Singularities (Mathematics) Singular perturbations (Mathematics) United States
Alternative Names
Vazov, V.
Vazov, V. 19091993
Vazov, V. (Volʹfgang), 19091993
Vazov, Volʹfgang 19091993
Wasow, W. 19091993
Wasow, Wolfgang.
Wasow Wolfgang 19091993
Wasow, Wolfgang R.
Wasow, Wolfgang R. 19091993
Wasow, Wolfgang Richard
Wasow, Wolfgang Richard 1909
Wasow, Wolfgang Richard 19091993
Wolfgang Wasow Emigrant aus Deutschland, amerikanischer Mathematiker
Wolfgang Wasow Emigrant from Germany, American mathematician
Вазов, В..
Вазов, В 19091993
Вазов, В. (Волфганг), 19091993
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