Showing papers in "Physics Today in 1963"
952 citations
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TL;DR: In this article, the authors present a two-dimensional wave equation and simple solutions for the wave equation with respect to the two dimensions of the wave and the two types of vibrations.
Abstract: Fundamentals of Vibration. Transverse Motion: The Vibrating String. Vibrations of Bars. The Two--Dimensional Wave Equation: Vibrations of Membranes and Plates. The Acoustic Wave Equation and Simple Solutions. Reflection and Transmission. Radiation and Reception of Acoustic Waves. Absorption and Attenuation of Sound. Cavities and Waveguides. Pipes, Resonators, and Filters. Noise, Signal Detection, Hearing, and Speech. Architectural Acoustics. Environmental Acoustics. Transduction. Underwater Acoustics. Selected Nonlinear Acoustic Effects. Shock Waves and Explosions. Appendices. Answers to Odd--Numbered Problems. Index.
500 citations
TL;DR: The IAEA•UNESCO Symposium on Inelastic Scattering of Neutrons in Solids and Liquids held September 10-14, 1962, at Chalk River, Ont., was the third international symposium since 1957 in this rapidly developing field as discussed by the authors.
Abstract: The IAEA‐UNESCO Symposium on Inelastic Scattering of Neutrons in Solids and Liquids held September 10–14, 1962, at Chalk River, Ont., was the third international symposium since 1957 in this rapidly developing field. At the first meeting held in September 1957 in Stockholm, 11 papers from 6 countries were presented, whereas at the meeting just concluded, the program was limited to 65 papers from 13 countries. This growth reflects both the greater recognition by the physics community of this powerful experimental technique and the greater availability of nuclear machines to provide the neutron sources needed for measurements.
TL;DR: In this article, the authors propose Matrix Methods for Parabolic Partial Differential Equations (PPDE) and estimate of Acceleration Parameters, and derive the solution of Elliptic Difference Equations.
Abstract: Matrix Properties and Concepts.- Nonnegative Matrices.- Basic Iterative Methods and Comparison Theorems.- Successive Overrelaxation Iterative Methods.- Semi-Iterative Methods.- Derivation and Solution of Elliptic Difference Equations.- Alternating-Direction Implicit Iterative Methods.- Matrix Methods for Parabolic Partial Differential Equations.- Estimation of Acceleration Parameters.
TL;DR: The simplest problem lagrangian derivatives canonical variables field theory Jacobi's condition the simplest problem in parametric form problems on a conditional extremum the direct method for nonparametric problems the Sturm-Liouville problem as discussed by the authors.
Abstract: The simplest problem lagrangian derivatives canonical variables field theory Jacobi's condition the simplest problem in parametric form problems on a conditional extremum the direct method for nonparametric problems the Sturm-Liouville problem the direct method for a problem in parametric form two-demensional problems the generalized dirichlet problem for a linear equation of elliptic type S.N.Bernshtein's principle geodesic lines on a triaxial ellipsoid Poincare's theorem on periodic extremals E.Noether's theorem on invariant functionals.