The differential equation of an arbitrary reflecting surface

Autor: Richard F. Melka, Hashim A. Yousif, Vincent D Berrettini

Publikováno v: European Journal of Physics. 39:035301

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d16c156a8154434be656e59c7941c0dd
https://doi.org/10.1088/1361-6404/aaa8fc

An alternative model of a nonlinear business cycle

Autor: Richard F. Melka, S. N. Gajanan, Craig Pierotti

Publikováno v: International Journal of Mathematical Education in Science and Technology. 31:505-514

The purpose of this paper is to develop a piecewise linear model to understand complex dynamics that arise out of sophisticated nonlinear macrodynamic models developed by Hicks and Goodwin. This piecewise analogue has several advantages: (i) it is a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::593ec377c2ba9d0ddf1cb79703993111
https://doi.org/10.1080/002073900412615

Bessel function of the first kind with complex argument

Autor: Hashim A. Yousif, Richard F. Melka

Publikováno v: Computer Physics Communications. 106:199-206

A new method of computing integral order Bessel functions of the first kind J n ( z ) when either the absolute value of the real part or the imaginary part of the argument z = x + iy is small, is described. This method is based on computing the Besse

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::028e201ca8cff547e7f1c555b8babb38
https://doi.org/10.1016/s0010-4655(97)00087-8

Problems

Autor: Larry Hoehn, David Singmaster, Costas Efthimiou, David M. Bloom, Leroy Quet, Murray Klamkin, José Luis Díaz-Barrero, Juan José Egozcue, Răazvan Gelca, Li Zhou, J. P. V. Abad, Michel Bataille, Alexander Blokh, Knut Dale, Robert L. Doucette, Daniele Donini, Natalio H. Guersenzvaig, Kee-Wai Lau, Kim McInturff, Michael Reid, Rolf Richberg, Heinz-Jüurgen Seiffert, Peng Gao, Murray S. Klamkin, J. C. Binz, Charles K. Cook, Joseph Coster, Charles R. Diminnie, Steve Edwards, James C. Hickman, Peter M. Jarvis, Elias Lampakis, Reiner Martin, Richard F. Melka, Yong Z. Chen, Greg Neumer, Sam L. Robinson, Gerald Thompson, Earl A. Smith, Irving C. Tang, Nora S. Thornber, Michael Vowe, Michael Woltermann, Geoffrey A. Kandall, Herb Bailey, Roy Barbara, Pierre Bornsztein, Gerald D. Brown, Scott H. Brown, Minh Can, Timothy V. Craine, Petar D. Drianov, Mordechai Falkowitz, Ovidiu Furdui, Michael Golomb, H. Guggenheimer, Peter Hohler, Samee Ullah Khan, Ken Korbin, Victor Y. Kutsenok, Matti Lehtinen, P. E. Nüesch, Achilleas Sinefakopoulos, Raul A. Simon, Alexey Vorobyov, Homer White, Peter Y. Woo, Hoe-Teck Wee, Philip D. Straffin, Keith Chavey, Marty Getz, Dixon Jones, Mark Kidwell, Jonathan Nilsson, Erwin Just, Brian D. Beasley, John Christopher, Kathleen E. Lewis, Allen J. Mauney, Kevin McDougal, Scott Parker, Jeremy Rouse, Phillip D. Straffin

Publikováno v: Mathematics Magazine. 75:317

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c35903effefd73131dfe720aa0008eed
https://doi.org/10.2307/3219173

The method of coordinate averaging

Autor: Richard F. Melka

Publikováno v: Journal of Computational and Applied Mathematics. 4:41-45

In this paper a perturbation technique for nearly linear oscillatory systems is developed and a set of second order averaged equations is obtained. The standard form treated is dx dt = F ( x, t ; ϵ), |ϵ| ⪡ 1 , and a well known example is consider

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84c1ed992cfc8056510f1ba7e5e20e9a
https://doi.org/10.1016/0771-050x(78)90018-9