Rauch, Harry Ernest 1925
Overview
Works:  17 works in 58 publications in 3 languages and 1,159 library holdings 

Genres:  Bibliography Conference proceedings 
Roles:  Author, Honoree, Dedicatee 
Classifications:  QA343, 516.36 
Publication Timeline
.
Most widely held works by
Harry Ernest Rauch
Elliptic functions, theta functions, and Riemann surfaces
by
Harry Ernest Rauch(
Book
)
13 editions published in 1973 in English and held by 340 WorldCat member libraries worldwide
13 editions published in 1973 in English and held by 340 WorldCat member libraries worldwide
Differential geometry and complex analysis : a volume dedicated to the memory of Harry Ernest Rauch
by
Isaac Chavel(
Book
)
11 editions published between 1984 and 1985 in English and held by 293 WorldCat member libraries worldwide
11 editions published between 1984 and 1985 in English and held by 293 WorldCat member libraries worldwide
Geodesics and curvature in differential geometry in the large
by
Harry Ernest Rauch(
Book
)
10 editions published between 1959 and 1964 in English and held by 227 WorldCat member libraries worldwide
10 editions published between 1959 and 1964 in English and held by 227 WorldCat member libraries worldwide
Theta functions with applications to Riemann surfaces
by
Harry Ernest Rauch(
Book
)
8 editions published in 1974 in English and Italian and held by 208 WorldCat member libraries worldwide
8 editions published in 1974 in English and Italian and held by 208 WorldCat member libraries worldwide
Elementary geometry
by William Leonard Zlot(
Book
)
2 editions published between 1973 and 1979 in English and held by 76 WorldCat member libraries worldwide
2 editions published between 1973 and 1979 in English and held by 76 WorldCat member libraries worldwide
Control applications of nonlinear programming : proceedings of the IFAC workshop, Denver, Colorado, USA, 21 June 1979
by
H. E Rauch(
Book
)
2 editions published in 1980 in English and held by 3 WorldCat member libraries worldwide
Control Applications of Nonlinear Programming contains the proceedings of the International Federation of Automatic Control Workshop on Control Applications of Nonlinear Programming, held in Denver, Colorado, on June 21, 1979. The workshop provided a forum for discussing the application of optimal and nonlinear programming techniques to reallife control problems. The volume covers a variety of specific applications ranging from microprocessor control of automotive engines and optimal design of structures to optimal aircraft trajectories, system identification, and robotics.Comprised of 14 cha
2 editions published in 1980 in English and held by 3 WorldCat member libraries worldwide
Control Applications of Nonlinear Programming contains the proceedings of the International Federation of Automatic Control Workshop on Control Applications of Nonlinear Programming, held in Denver, Colorado, on June 21, 1979. The workshop provided a forum for discussing the application of optimal and nonlinear programming techniques to reallife control problems. The volume covers a variety of specific applications ranging from microprocessor control of automotive engines and optimal design of structures to optimal aircraft trajectories, system identification, and robotics.Comprised of 14 cha
Generalizations of some classic theorems to the case of functions of several variables
by
Harry Ernest Rauch(
Book
)
2 editions published between 1947 and 1948 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1947 and 1948 in English and held by 2 WorldCat member libraries worldwide
Expansions in Legendre Functions of Integral Degree of Legendre Eigenfunctions of Nonintegral Degree Arising in the Study of Stability of Incomplete Spherical Structures
(
Book
)
1 edition published in 1974 in English and held by 1 WorldCat member library worldwide
It is shown that, if y(x) not identically equal to 0 satisfies Legendre's equation ((1x square)y')' + n(n+1)y = 0 for x sub 0 <x <1, 1 <x sub square <1, n> 0 not integral, and the boundary conditions y(1) finite, y(x sub 0) = 0, then y(x) admits an explicit expansion of a particularly simple kind in the Legendre polynomials
1 edition published in 1974 in English and held by 1 WorldCat member library worldwide
It is shown that, if y(x) not identically equal to 0 satisfies Legendre's equation ((1x square)y')' + n(n+1)y = 0 for x sub 0 <x <1, 1 <x sub square <1, n> 0 not integral, and the boundary conditions y(1) finite, y(x sub 0) = 0, then y(x) admits an explicit expansion of a particularly simple kind in the Legendre polynomials
CONTROL Applications of nonlinear programming
by IFAC Workshop on Control Applications of Nonlinear Programming(
Book
)
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
Buckling of a Complete Spherical Shell under Uniform External Pressure
(
Book
)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
Nonlinear axisymmetric bucking of a complete spherical elastic shell under uniform external pressure is treated numerically. Particular attention is given to the lower critical load, which is the theoretical least failure load. Among the new results are the evaluation of this load for thinner shells than those treated in the existing literature; in particular, the values 6.73% and 4.9% of the classical linear buckling loads are obtained for the radiustothickness ratios 100 and 200, respectively. The shapes of the buckled shells are computed for the first time in an unexpected hint that there is an asymptotic (ratiostothickness rationindependent) buckled shape. Numerical solution is by means of spectral (Galerkin) expansions of up to 60 modes in associated Legendre functions of order one applied to the quadratically nonlinear version of E. Reissner's equations. (Author)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
Nonlinear axisymmetric bucking of a complete spherical elastic shell under uniform external pressure is treated numerically. Particular attention is given to the lower critical load, which is the theoretical least failure load. Among the new results are the evaluation of this load for thinner shells than those treated in the existing literature; in particular, the values 6.73% and 4.9% of the classical linear buckling loads are obtained for the radiustothickness ratios 100 and 200, respectively. The shapes of the buckled shells are computed for the first time in an unexpected hint that there is an asymptotic (ratiostothickness rationindependent) buckled shape. Numerical solution is by means of spectral (Galerkin) expansions of up to 60 modes in associated Legendre functions of order one applied to the quadratically nonlinear version of E. Reissner's equations. (Author)
Table, A PL1 Program for Computing Certain Integrals of the Product of Three Legendre Polynomials Useful in Computing the Buckling of Thin Walled Spherical Structures
(
Book
)
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
TABLE, a PL/1, double precision program supplies coefficients for the equations solved by SPHERE, which is the program that does the computation for instability of thinwalled spherical structures under external pressure
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
TABLE, a PL/1, double precision program supplies coefficients for the equations solved by SPHERE, which is the program that does the computation for instability of thinwalled spherical structures under external pressure
[Verschiedene kleinere VeroÌˆffentlichungen aus dem Gebiete der Mathematik]
(
Book
)
in German and held by 1 WorldCat member library worldwide
in German and held by 1 WorldCat member library worldwide
JetDriven Instruments and the Edgetone
(
Book
)
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
On the basis of observations due to Coltman and Powell a simplified (linear, small, signal) model of jet action in jetdriven instruments and the edgetone is presented. The model leads, by means of an elementary phase analysis, to very simple and intuitive pictures of the feedback models of Powell and Cremer and Ising. For jetdriven instruments the sole demand that the jet deflection at the edge be in phase with the orifice volumedisplacement, without impedance (or any other) analysis, implies the surprisingly accurate formula f = .4 micron/2h for the fundamental frequency f, with jet velocity micron and orificeedge distance h. For the edgetone, the sole demand that the transverse displacement at the orifice lag the jet deflection at the edge of Pi/2 (Powell's assertion) implies the formula for the frequency of the edgetone operating in the kth stage, f = (.4micron/h(k+1/4)), which is clearly a first approximation to Brown's empirical formula. Consistency of this jet model with the detailed mathematical analyses of Powell and Cremer and Ising is exhibited. In particular, the necessity of paralleldrive is shown, and additional arguments to support it are advanced. (Author)
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
On the basis of observations due to Coltman and Powell a simplified (linear, small, signal) model of jet action in jetdriven instruments and the edgetone is presented. The model leads, by means of an elementary phase analysis, to very simple and intuitive pictures of the feedback models of Powell and Cremer and Ising. For jetdriven instruments the sole demand that the jet deflection at the edge be in phase with the orifice volumedisplacement, without impedance (or any other) analysis, implies the surprisingly accurate formula f = .4 micron/2h for the fundamental frequency f, with jet velocity micron and orificeedge distance h. For the edgetone, the sole demand that the transverse displacement at the orifice lag the jet deflection at the edge of Pi/2 (Powell's assertion) implies the formula for the frequency of the edgetone operating in the kth stage, f = (.4micron/h(k+1/4)), which is clearly a first approximation to Brown's empirical formula. Consistency of this jet model with the detailed mathematical analyses of Powell and Cremer and Ising is exhibited. In particular, the necessity of paralleldrive is shown, and additional arguments to support it are advanced. (Author)
Elastic Plates and Shells and the Stability of ThinWalled Structures
(
Book
)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
Progress on bending and buckling of plates and deep buckling and postbuckling regime analysis for complete spherical and oblate spheroidal shells is reported. The use of von Karmantype equations and the Galerkin method (with orthogonal series) is reported. Some new work on orthogonal expansions and hydrodynamic stability are also reported. Special emphasis is placed on new program for solving nonlinear numerical equations in several variables. (Author)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
Progress on bending and buckling of plates and deep buckling and postbuckling regime analysis for complete spherical and oblate spheroidal shells is reported. The use of von Karmantype equations and the Galerkin method (with orthogonal series) is reported. Some new work on orthogonal expansions and hydrodynamic stability are also reported. Special emphasis is placed on new program for solving nonlinear numerical equations in several variables. (Author)
COMPLEX ANALYSIS
(
Book
)
1 edition published in 1969 in English and held by 1 WorldCat member library worldwide
During the period from 1 June 66  31 May 1968, Rauch was the principal investigator and the principal effort was directed at Riemann surface theory, theta functions and schlicht functions (conformal maps). Results are described in the references listed in this report. During the period 1 June 68  31 May 1969, Newman was the principal investigator and research was concentrated in linear search problems, Hilbert spaces of entire functions, completeness problems for the set (f(n, x)) and completeness problems in radical algebras. A summary of results is included in this report. (Author)
1 edition published in 1969 in English and held by 1 WorldCat member library worldwide
During the period from 1 June 66  31 May 1968, Rauch was the principal investigator and the principal effort was directed at Riemann surface theory, theta functions and schlicht functions (conformal maps). Results are described in the references listed in this report. During the period 1 June 68  31 May 1969, Newman was the principal investigator and research was concentrated in linear search problems, Hilbert spaces of entire functions, completeness problems for the set (f(n, x)) and completeness problems in radical algebras. A summary of results is included in this report. (Author)
SPHERE, a Program for Computing Buckling Loads of Spherical Shells under uniform Pressure
(
Book
)
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
SPHERE is the PL/I, double precision, computer program used to implement the theory on 'Instability of thinwalled spherical structures under external pressure' by Harry E. /Rauch in 'Contributions to Analysis, ' Academic Press, New York 1974. It can be adapted quickly to solve any programmed system of simultaneous nonlinear (algebraic or transcendental) equations in as many unknowns as the number of equations. SPHERE is based on the algorithm given in 'a globally converging secant method with applications to boundary value problems' by E. Polok in SIAM J. Num. Anal., 11 (1974), pp. 529537. It is a modified Newtonsecant method combined with the method of local variations. (Author)
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
SPHERE is the PL/I, double precision, computer program used to implement the theory on 'Instability of thinwalled spherical structures under external pressure' by Harry E. /Rauch in 'Contributions to Analysis, ' Academic Press, New York 1974. It can be adapted quickly to solve any programmed system of simultaneous nonlinear (algebraic or transcendental) equations in as many unknowns as the number of equations. SPHERE is based on the algorithm given in 'a globally converging secant method with applications to boundary value problems' by E. Polok in SIAM J. Num. Anal., 11 (1974), pp. 529537. It is a modified Newtonsecant method combined with the method of local variations. (Author)
Generalizations of some theorems of R. Nevanlinna
by
H. E Rauch(
Book
)
1 edition published in 1948 in English and held by 1 WorldCat member library worldwide
1 edition published in 1948 in English and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
Useful Links
Associated Subjects
Automatic controlMathematical models Curves on surfaces Elliptic functions Functions Functions, Theta Functions of complex variables Geometry, Differential Geometry, Plane Geometry, Riemannian Global analysis (Mathematics) Global differential geometry Mathematics Nonlinear programming Riemann surfaces