Results 171 to 180 of about 48,613 (216)
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2000
Our final perturbation technique is the variational technique, which is particularly well-suited for finding approximations to ground-state energies and wave functions. We shall apply it, in particular, to find approximations to the ground-state energy and wave functions for the He atom.
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Our final perturbation technique is the variational technique, which is particularly well-suited for finding approximations to ground-state energies and wave functions. We shall apply it, in particular, to find approximations to the ground-state energy and wave functions for the He atom.
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1976
Publisher Summary There is an equivalence between problems in the calculus of variations and problems involving partial differential equations (PDE). In particular, any PDE problem can be phrased in variational form. The variational form permits a useful alternative approach to the solution of the PDE problem.
GEORGE F. CARRIER, CARL E. PEARSON
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Publisher Summary There is an equivalence between problems in the calculus of variations and problems involving partial differential equations (PDE). In particular, any PDE problem can be phrased in variational form. The variational form permits a useful alternative approach to the solution of the PDE problem.
GEORGE F. CARRIER, CARL E. PEARSON
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Variational method in a heterojunction
Physical Review B, 1991Determination des expressions analytiques de l'energie de l'etat fondamental et de la 1ere sous-bande d'une heterojonction en fonction de la temperature et de la concentration en electrons. La difference d'energie E 10 entre la premiere sous-bande et l'etat fondamental est en accord raisonnable avec les donnees obtenues dans une heterojonction GaAs-Ga
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2016
In this chapter we introduce some variational techniques, with the aim of obtaining further existence results for the periodic problem (P). We use some known results of differential calculus in normed vector spaces, which are collected in Appendix B.
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In this chapter we introduce some variational techniques, with the aim of obtaining further existence results for the periodic problem (P). We use some known results of differential calculus in normed vector spaces, which are collected in Appendix B.
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Six Variations on the Variational Method
1998As a graduate student in physics at the University of Michigan many years ago I had the good fortune to take a course in function theory from Norman Steenrod that pretty much changed the course of my life. My experience in that course plus several private conversations convinced me to switch out of physics and into mathematics.
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A Sampling of Variational Methods
Proceedings of SPE Symposium on Numerical Simulation of Reservoir Performance, 1976American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc. THIS PAPER IS SUBJECT TO CORRECTION Introduction As an introduction to a session on variational methods in reservoir modeling, the purpose of this paper is to emphasize the rich variety inherent in the ...
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Direct Methods in the Calculus of Variations
1992These methods rely on the minimization (or maximization) of real valued functions on a Hausdorff space under assumptions which are as general as possible. Thus the basic concepts of weak sequential lower semicontinuity and sequential compactness are recalled and a basic existence result is proven.
Erwin Brüning, Philippe Blanchard
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Variational methods for non-variational problems
SeMA Journal, 2017We propose and describe an alternative perspective for the study of systems of boundary value problems governed by ODEs. It is based on a variational approach that seeks to minimize a certain quadratic error understood as a deviation of paths from being a solution of the corresponding system.
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