Results 1 to 10 of about 292,354 (329)
Some of the next articles are maybe not open access.
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.
openaire +2 more sources
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.
openaire +2 more sources
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.
openaire +2 more sources
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.
openaire +2 more sources
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
openaire +2 more sources
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
openaire +2 more sources
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
openaire +3 more sources
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.
openaire +2 more sources
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 ...
openaire +2 more sources
On direct methods in the calculus of variations
Computer Methods in Applied Mechanics and Engineering, 1983This review paper surveys the application of the Rayleigh-Ritz method and Galerkin's method to stability problems of structural mechanics. Emphasis is given to a discussion of non-self-adjoint problems where the former method is not applicable.
openaire +3 more sources
Molecular imaging in oncology: Current impact and future directions
Ca-A Cancer Journal for Clinicians, 2022Steven P Rowe, Martin G Pomper
exaly
MODIFICATIONS TO THE VARIATE-DIFFERENCE METHOD
Biometrika, 19531-2. The variate-difference method (Anderson, 1914) is closely related to the method of moving averages, and may be regarded as having greater generality. Any moving average difference formula may be shown to be equivalent to an average of higher order differences and, consequently, results obtainable from such formulae may be obtained by ...
openaire +2 more sources