10 research outputs found
1991 Summer Study Program in Geophysical Fluid Dynamics : patterns in fluid flow
The GFD program in 1991 focused on pattern forming processes in physics and geophysics. The pricipallecturer, Stephan
Fauve, discussed a variety of systems, including our old favorite, Rayleigh-Bénard convection, but passing on to exotic
examples such as vertically vibrated granular layers. Fauve's lectures emphasize a unified theoretical viewpoint based on
symmetry arguments. Patterns produced by instabilties can be described by amplitude equations, whose form can be deduced
by symmetry arguments, rather than the asymptotic expansions that have been the staple of past Summer GFD Programs. The
amplitude equations are far simpler than the complete equations of motion, and symetry arguments are easier than
asymptotic expansions. Symmetry arguments also explain why diverse systems are often described by the same amplitude
equation. Even for granular layers, where there is not a universaly accepted continuum description, the appropnate amplitude
equation can often be found using symmetry arguments and then compared with experiment.
Our second speaker, Daniel Rothan, surveyed the state of the art in lattice gas computations. His lectures illustrate the
great utility of these methods in simulating the flow of complex multiphase fluids, particularly at low Reynolds numbers. The
lattice gas simulations reveal a complicated phenomenology much of which awaits analytic exploration.
The fellowship lectures cover broad ground and reflect the interests of the staff members associated with the program. They
range from the formation of sand dunes, though the theory of lattice gases, and on to two dimensional-turbulence and
convection on planetary scales. Readers desiring to quote from these report should seek the permission of the authors (a
partial list of electronic mail addresses is included on page v). As in previous years, these reports are extensively reworked for
publication or appear as chapters in doctoral theses. The task of assembling the volume in 1991 was at first faciltated by our
newly acquired computers, only to be complicated by hurricane Bob which severed electric power to Walsh Cottage in the
final hectic days of the Summer.Funding was provided by the National Science Foundation
through Grant No. OCE 8901012
Generalized averaged Gaussian quadrature and applications
A simple numerical method for constructing the optimal generalized averaged Gaussian quadrature formulas will be presented. These formulas exist in many cases in which real positive GaussKronrod formulas do not exist, and can be used as an adequate alternative in order to estimate the error of a Gaussian rule. We also investigate the conditions under which the optimal averaged Gaussian quadrature formulas and their truncated variants are internal
MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications
Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described
Hadron models and related New Energy issues
The present book covers a wide-range of issues from alternative hadron models to their likely implications in New Energy research, including alternative interpretation of lowenergy reaction (coldfusion) phenomena. The authors explored some new approaches to describe novel phenomena in particle physics. M Pitkanen introduces his nuclear string hypothesis derived from his Topological Geometrodynamics theory, while E. Goldfain discusses a number of nonlinear dynamics methods, including bifurcation, pattern formation (complex GinzburgLandau equation) to describe elementary particle masses. Fu Yuhua discusses a plausible method for prediction of phenomena related to New Energy development. F. Smarandache discusses his unmatter hypothesis, and A. Yefremov et al. discuss Yang-Mills field from Quaternion Space Geometry. Diego Rapoport discusses theoretical link between Torsion fields and Hadronic Mechanic. A.H. Phillips discusses semiconductor nanodevices, while V. and A. Boju discuss Digital Discrete and Combinatorial methods and their likely implications in New Energy research. Pavel Pintr et al. describe planetary orbit distance from modified Schrödinger equation, and M. Pereira discusses his new Hypergeometrical description of Standard Model of elementary particles. The present volume will be suitable for researchers interested in New Energy issues, in particular their link with alternative hadron models and interpretation