Burstein, Samuel Z.
Overview
Works:  24 works in 75 publications in 3 languages and 736 library holdings 

Roles:  Author 
Classifications:  QA303, 515 
Publication Timeline
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Most widely held works by
Samuel Z Burstein
Calculus with applications and computing
by
Peter D Lax(
Book
)
32 editions published between 1972 and 1984 in English and Undetermined and held by 603 WorldCat member libraries worldwide
This new edition of Lax, Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is more natural and easier to use than pointwise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complexvalued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory
32 editions published between 1972 and 1984 in English and Undetermined and held by 603 WorldCat member libraries worldwide
This new edition of Lax, Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is more natural and easier to use than pointwise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complexvalued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory
Calculus with applications and computing
by
Peter D Lax(
Book
)
16 editions published between 1972 and 1984 in English and Undetermined and held by 82 WorldCat member libraries worldwide
16 editions published between 1972 and 1984 in English and Undetermined and held by 82 WorldCat member libraries worldwide
Lectures on combustion theory
by
Samuel Z Burstein(
Book
)
2 editions published in 1978 in English and held by 12 WorldCat member libraries worldwide
2 editions published in 1978 in English and held by 12 WorldCat member libraries worldwide
Smite
by
Samuel Z Burstein(
Book
)
2 editions published in 1975 in English and held by 9 WorldCat member libraries worldwide
A computer code for hydrodynamic and elasticperfectly plastic problems is described. The model uses a second order finite difference method based upon a Eulerian formulation of the basic differential equations. The algorithm uses an individual grid for each material domain, determined by Lagrangian type boundary points which are subject to free surface and interface conditions. The only communication between domains is through their common interfaces
2 editions published in 1975 in English and held by 9 WorldCat member libraries worldwide
A computer code for hydrodynamic and elasticperfectly plastic problems is described. The model uses a second order finite difference method based upon a Eulerian formulation of the basic differential equations. The algorithm uses an individual grid for each material domain, determined by Lagrangian type boundary points which are subject to free surface and interface conditions. The only communication between domains is through their common interfaces
Calculus with applications and computing. graph. Darst.
by
Peter D Lax(
Book
)
1 edition published in 1976 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1976 in English and held by 7 WorldCat member libraries worldwide
Nonlinear combustion instability in liquidpropellant rocket engines : the transverse mode
by
Samuel Z Burstein(
Book
)
1 edition published in 1967 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1967 in English and held by 2 WorldCat member libraries worldwide
Kaisekigaku gairon : Ōyō to sūchi keisan to tomoni
(
Book
)
2 editions published in 1982 in Japanese and held by 2 WorldCat member libraries worldwide
2 editions published in 1982 in Japanese and held by 2 WorldCat member libraries worldwide
Mathematics and computing : lectures given in a seminar held during spring semester 1977 at the courant Institute
(
Book
)
2 editions published in 1978 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1978 in English and held by 2 WorldCat member libraries worldwide
Third order difference methods for hyperbolic equations
by
Samuel Z Burstein(
Book
)
1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1969 in English and held by 2 WorldCat member libraries worldwide
Difference methods for the inviscid and viscous equations of a compressible gas
(
Book
)
1 edition published in 1967 in English and held by 1 WorldCat member library worldwide
An examination was made of several secondorder accurate schemes for the solution of onedimensional flows containing discontinuities. Two problems of shock interactions were considered, and two generalizations of these schemes were used for the solution of the NavierStokes equations. (Author)
1 edition published in 1967 in English and held by 1 WorldCat member library worldwide
An examination was made of several secondorder accurate schemes for the solution of onedimensional flows containing discontinuities. Two problems of shock interactions were considered, and two generalizations of these schemes were used for the solution of the NavierStokes equations. (Author)
Calculus with applications and computing Vol.I
by
Peter D Lax(
Book
)
1 edition published in 1972 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 1972 in Italian and held by 1 WorldCat member library worldwide
Difference methods for the inviscid and viscous equations of a compressible gas
by Ephraim Leo Rubin(
Book
)
1 edition published in 1967 in English and held by 1 WorldCat member library worldwide
1 edition published in 1967 in English and held by 1 WorldCat member library worldwide
Eulerian computations of second order accuracy for explosively loaded compressible materials
by
Samuel Z Burstein(
Book
)
1 edition published in 1973 in English and held by 1 WorldCat member library worldwide
1 edition published in 1973 in English and held by 1 WorldCat member library worldwide
Kaisekigaku gairon : Ōyō to sūchi keisan to tomoni
(
Book
)
2 editions published in 1982 in Japanese and held by 1 WorldCat member library worldwide
2 editions published in 1982 in Japanese and held by 1 WorldCat member library worldwide
A Formulation of Hydrodynamic Flow with Materials that Exhibit Elastic Plastic Behavior  The SMITE Code
(
Book
)
1 edition published in 1974 in English and held by 1 WorldCat member library worldwide
This report describes a new formulation for an elasticperfectly plastic computer code. The formulation uses a second order accurate integration method for numerically solving the governing partial differential equations. The algorithm uses an individual Eulerian grid for each material domain. These domains, which may be elastic, elasticperfectly plastic, or purely hydrodynamic, are allowed to move freely through these grids communicating with each other through common interfaces; it is clear then that the boundaries of the domains are explicitly computed as part of the algorithm
1 edition published in 1974 in English and held by 1 WorldCat member library worldwide
This report describes a new formulation for an elasticperfectly plastic computer code. The formulation uses a second order accurate integration method for numerically solving the governing partial differential equations. The algorithm uses an individual Eulerian grid for each material domain. These domains, which may be elastic, elasticperfectly plastic, or purely hydrodynamic, are allowed to move freely through these grids communicating with each other through common interfaces; it is clear then that the boundaries of the domains are explicitly computed as part of the algorithm
Lectures on combustion theory : lectures given in a seminar held during spring semester 1977 at the Courant Institute
(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
Combustion instability nonlinear analysis of wave propagation in a liquid propellant rocket motor
by
Samuel Z Burstein(
Book
)
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
The phenomena of combustion instability in the liquid propellant rocket system is characterized by cyclic variations of pressure in the feed system and combustion chamber, or depending on the magnitude of the frequency, within the chamber alone. Some previous work is discussed along with present work and results
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
The phenomena of combustion instability in the liquid propellant rocket system is characterized by cyclic variations of pressure in the feed system and combustion chamber, or depending on the magnitude of the frequency, within the chamber alone. Some previous work is discussed along with present work and results
Eulerian Computations of Second Order Accuracy for Explosively Loaded Compressible Materials
(
Book
)
1 edition published in 1973 in English and held by 1 WorldCat member library worldwide
Considering the complex interaction of nonlinear waves with a moving boundary it is necessary to use an accurate numerical approximation to the differential equations of motion in order to obtain a solution. In this paper the authors describe a method of solution for the problem based on an Eulerian formulation with moving boundaries. The scheme to be described in later sections has been incorporated in a code called SMITE (Second order Moving Interface Two dimensional Eulerian code)
1 edition published in 1973 in English and held by 1 WorldCat member library worldwide
Considering the complex interaction of nonlinear waves with a moving boundary it is necessary to use an accurate numerical approximation to the differential equations of motion in order to obtain a solution. In this paper the authors describe a method of solution for the problem based on an Eulerian formulation with moving boundaries. The scheme to be described in later sections has been incorporated in a code called SMITE (Second order Moving Interface Two dimensional Eulerian code)
Combustion instability : nonlinear analysis of wave propagation in a liquid propellant rocket motor
by
Samuel Z Burstein(
Book
)
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
The Application of the Smite Code to the BRL105 Shaped Charge Problem
(
Book
)
1 edition published in 1974 in English and held by 1 WorldCat member library worldwide
A numerical finite difference method has been applied to the computation of a BRL105 shaped charge. The model uses an Eulerian formulation of the defining conservation laws and these hyperbolic partial differential equations are solved by a second order accurate difference method. This method is twostep and explicit. The motion of the free surfaces, which are the important features in this problem, are explicitly computed by integrating the set of ordinary differential equations defining the trajectories of tracer particles located at all the free surfaces. Interfaces are also maintained as discontinuities during the course of the calculation in a similar manner. The method seems to be flexible, stable and efficient for the problems included in this investigation
1 edition published in 1974 in English and held by 1 WorldCat member library worldwide
A numerical finite difference method has been applied to the computation of a BRL105 shaped charge. The model uses an Eulerian formulation of the defining conservation laws and these hyperbolic partial differential equations are solved by a second order accurate difference method. This method is twostep and explicit. The motion of the free surfaces, which are the important features in this problem, are explicitly computed by integrating the set of ordinary differential equations defining the trajectories of tracer particles located at all the free surfaces. Interfaces are also maintained as discontinuities during the course of the calculation in a similar manner. The method seems to be flexible, stable and efficient for the problems included in this investigation
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Associated Subjects
Calculus Combustion, Theory of Computer programming Computers Difference equations Differential equations Differential equations, Hyperbolic Differential equations, NonlinearNumerical solutions Global analysis (Mathematics) Hydrodynamics Lagrange equations Liquid propellant rockets Liquid propellants Mathematical analysis Mathematics Nonlinear wave equations Rocket engines Rocket enginesCombustion Shock waves Viscous flow