Schechter, Samuel
Overview
Works:  7 works in 9 publications in 1 language and 10 library holdings 

Roles:  Author 
Publication Timeline
.
Most widely held works by
Samuel Schechter
RELAXATION METHODS FOR CONVEX PROBLEMS by
Samuel Schechter(
Book
)
3 editions published in 1968 in English and held by 3 WorldCat member libraries worldwide
Extensions and simplifications are made for convergence proofs of relaxation methods for nonlinear systems arising from the minimization of strictly convex functions. This work extends these methods to group relaxation, which includes an extrapolated form of Newton's method, for various orderings. A relatively simple proof is given for cyclic orderings, sometimes referred to as nonlinear overrelaxation, and for residual orderings where an error estimate is given. A less restrictive choice of relaxation parameter is obtained than that previously. Applications are indicated primarily to the solution of nonlinear elliptic boundary problems. (Author)
3 editions published in 1968 in English and held by 3 WorldCat member libraries worldwide
Extensions and simplifications are made for convergence proofs of relaxation methods for nonlinear systems arising from the minimization of strictly convex functions. This work extends these methods to group relaxation, which includes an extrapolated form of Newton's method, for various orderings. A relatively simple proof is given for cyclic orderings, sometimes referred to as nonlinear overrelaxation, and for residual orderings where an error estimate is given. A less restrictive choice of relaxation parameter is obtained than that previously. Applications are indicated primarily to the solution of nonlinear elliptic boundary problems. (Author)
On the inversion of certain matrices by
Samuel Schechter(
Book
)
1 edition published in 1959 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1959 in English and held by 2 WorldCat member libraries worldwide
Deexcitation of Metastables at Plasma Boundaries(
Book
)
1 edition published in 1973 in English and held by 2 WorldCat member libraries worldwide
Wall deexcitation of N2 (v=1) was studied on a variety of different surfaces, using 4880 A laser radiation, the authors used the intensity of the antiStokes Raman scattering at 4382 A to monitor the N2 (v=1) concentrations. The twodimensional diffusion equation with Poiseuille flow was solved to interpret the results. The lowest values of the deactivation coefficient were recorded for quartz and Pyrex after 24 hours of exposure to the microwave afterglow. The results allow some conclusions to be made concerning the mechanism of vibrational deexcitation on walls. (Modified author abstract)
1 edition published in 1973 in English and held by 2 WorldCat member libraries worldwide
Wall deexcitation of N2 (v=1) was studied on a variety of different surfaces, using 4880 A laser radiation, the authors used the intensity of the antiStokes Raman scattering at 4382 A to monitor the N2 (v=1) concentrations. The twodimensional diffusion equation with Poiseuille flow was solved to interpret the results. The lowest values of the deactivation coefficient were recorded for quartz and Pyrex after 24 hours of exposure to the microwave afterglow. The results allow some conclusions to be made concerning the mechanism of vibrational deexcitation on walls. (Modified author abstract)
Orbital, Attitude, and Deployment Considerations for a Passive Space Array(
Book
)
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
This report examines the feasibility of longdistance, jamresistant satellite communication by means of a completely passive array of scattering elements that is attitudestabilized by the earth's gravity gradient. The orbital, attitude, and deployment considerations for this array are discussed in this report. A preliminary design was developed for a passive space array that meets electromagnetic, orbital, attitude, deployment, and manufacturability requirements. The central portion of the prototype consists of 10,000 spherical aluminum scattering elements uniformly space along a straight vertical line to form an array 150 meters long. The spheres are 1 cm in diameter and are resonant over the frequency range 10 + or  0.5 GHz. They are supported by 75 segments of stiff wire 1 mm (40 mils) in diameter. These segments are connected by joints whose free motion is limited to 3 deg. The stiff sections were found to be needed to absorb transverse kinetic energy occurring during deployment. To provide needed damping of librational motions, each end of the array will be extended by a coil of the same construction as the main array, but prestressed to assume a pigtail shape when released in space. Each coil will have a radius of 5 meters and will carry 2000 spheres. These coils provide damping by converting librational energy into flexural motion, which in turn is subject to viscous forces in the joints. A damping time constant of less than two months was calculated
1 edition published in 1975 in English and held by 1 WorldCat member library worldwide
This report examines the feasibility of longdistance, jamresistant satellite communication by means of a completely passive array of scattering elements that is attitudestabilized by the earth's gravity gradient. The orbital, attitude, and deployment considerations for this array are discussed in this report. A preliminary design was developed for a passive space array that meets electromagnetic, orbital, attitude, deployment, and manufacturability requirements. The central portion of the prototype consists of 10,000 spherical aluminum scattering elements uniformly space along a straight vertical line to form an array 150 meters long. The spheres are 1 cm in diameter and are resonant over the frequency range 10 + or  0.5 GHz. They are supported by 75 segments of stiff wire 1 mm (40 mils) in diameter. These segments are connected by joints whose free motion is limited to 3 deg. The stiff sections were found to be needed to absorb transverse kinetic energy occurring during deployment. To provide needed damping of librational motions, each end of the array will be extended by a coil of the same construction as the main array, but prestressed to assume a pigtail shape when released in space. Each coil will have a radius of 5 meters and will carry 2000 spheres. These coils provide damping by converting librational energy into flexural motion, which in turn is subject to viscous forces in the joints. A damping time constant of less than two months was calculated
Relaxation methods for linear equations by
Samuel Schechter(
Book
)
1 edition published in 1958 in English and held by 1 WorldCat member library worldwide
1 edition published in 1958 in English and held by 1 WorldCat member library worldwide
Numerical Solution of Nonlinear Parabolic Equations(
Book
)
1 edition published in 1977 in English and held by 1 WorldCat member library worldwide
A method of solution is obtained for a class of nonlinear parabolic partial differential equations. An analysis is made of the existence and uniqueness of a solution to a special class of semilinear systems arising from various discretisations of the differential equation. A numerical procedure for solving singular problems is given. A method of approximate block relaxation is shown to converge globally, and an application to a quadratic system is presented. (Author)
1 edition published in 1977 in English and held by 1 WorldCat member library worldwide
A method of solution is obtained for a class of nonlinear parabolic partial differential equations. An analysis is made of the existence and uniqueness of a solution to a special class of semilinear systems arising from various discretisations of the differential equation. A numerical procedure for solving singular problems is given. A method of approximate block relaxation is shown to converge globally, and an application to a quadratic system is presented. (Author)
Approximate solutions of steadystate neutron transport problems for slabs by
Samuel Schechter(
Book
)
1 edition published in 1958 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1958 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 STANFORD RESEARCH INST MENLO PARK CALIF
 Wise, Henry
 U.S. Atomic Energy Commission AEC Computing and Applied Mathematics Center
 Sharpless, Robert
 STANFORD UNIV CALIF Dept. of COMPUTER SCIENCE
 Black, Graham
 New York University Institute of Mathematical Sciences
 Frankel, Michael S.
 Andeen, Gerry B.
 Nelson, Raymond A.
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