Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Lawrence E. Levine"'
Autor:
Ray Maleh, Lawrence E. Levine
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 34:781-786
It can be shown that if a differential equation is analytic near a point, then it is always possible to select a forcing term along with initial conditions that will ensure the solution to the new non-homogeneous equation is a polynomial that is the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f91a283635f84b94b4b4b2c5cd8ed31
https://doi.org/10.1080/00207390310001595447
https://doi.org/10.1080/00207390310001595447
Autor:
Ray Maleh, Lawrence E. Levine
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 34:95-103
The classical differential equations of Hermite, Legendre, and Chebyshev are well known for their polynomial solutions. These polynomials occur in the solutions to numerous problems in applied mathematics, physics, and engineering. However, since the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ce73af6cd28985cc3dbfc52c499d2ce
https://doi.org/10.1080/0020739021000053891
https://doi.org/10.1080/0020739021000053891
Autor:
Ray Maleh, Lawrence E. Levine
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 33:898-906
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0ebd461189649a00d23534044769a46
https://doi.org/10.1080/002073902321093577
https://doi.org/10.1080/002073902321093577
Autor:
Gabriel B. Costa, Lawrence E. Levine
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 24:631-635
In this paper the authors investigate classes of partial differential equations (mostly in two independent variables, of order at most 4) which can be solved by the well‐known technique of separation of variables. In particular, several classical o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dee389ecc22d5323e62f5cbefe544622
https://doi.org/10.1080/0020739930240503
https://doi.org/10.1080/0020739930240503
Autor:
Eric S. Lubot, Lawrence E. Levine
Publikováno v:
SIAM Journal on Applied Mathematics. 29:439-448
The multitime or multivariable method for obtaining asymptotic approximations is applied to the initial value problem $y'' + P( \varepsilon )y' + y = 0,y( {0;\varepsilon } ) = 0,y'( {0;\varepsilon } ) = 1$, where $P( \varepsilon )$ is a polynomial in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8661f749ea2d3b007dadfc53d4155431
https://doi.org/10.1137/0129037
https://doi.org/10.1137/0129037
Autor:
Gabriel B. Costa, Lawrence E. Levine
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 20:1-11
Several classes of ordinary differential equations which have polynomial solutions are studied. In particular, generalizations of the Hermite, Laguerre, Legendre, and Chebyshev equations are given for which such solutions exist. These solutions turn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04f234d443962c5d962d5e423adc3002
https://doi.org/10.1080/0020739890200101
https://doi.org/10.1080/0020739890200101
Autor:
Lawrence E. Levine, Wilson C. Obi
Publikováno v:
SIAM Journal on Applied Mathematics. 33:581-586
We deal with the equation $(1 + \varepsilon t)y'' + 2\varepsilon y' + y = 0$ and show how a set of nonlinear time scales may be derived from the equation itself. Using these time scales multitime expansions of the solution of the equation satisfying
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cb2fda2e010743fab099f6144ad1e042
https://doi.org/10.1137/0133040
https://doi.org/10.1137/0133040
Autor:
Sylvester L. Tuohy, Lawrence E. Levine
Publikováno v:
SIAM Journal on Applied Mathematics. 41:301-305
A method is developed which yields a uniformly valid expansion of the solution of certain perturbed differential equations. This involves the use of a two-term expansion. In contrast to other approaches, this one yields an approximation that can be m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::549dbfc9e14f57328b97a09051cfd9d0
https://doi.org/10.1137/0141025
https://doi.org/10.1137/0141025
Autor:
Lawrence E. Levine, W. C. Obi
Publikováno v:
Bulletin of the American Mathematical Society. 82:771-774
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::556c312aeb3ec729a3a011a91ab5543c
https://doi.org/10.1090/s0002-9904-1976-14158-4
https://doi.org/10.1090/s0002-9904-1976-14158-4
Autor:
Lawrence E. Levine
Publikováno v:
Quarterly of Applied Mathematics. 27:399-404
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::930f4a6772034a82d31ac476fb0f8f83
https://doi.org/10.1090/qam/99816
https://doi.org/10.1090/qam/99816