Eliminating Gibb's Effect from Separation of Variables Solutions
To solve the Laplace equation on a rectangular domain with given nonhomogeneous Dirichlet boundary conditions, separation of variables is frequently used. However the convergence of the resulting seri...
To solve the Laplace equation on a rectangular domain with given nonhomogeneous Dirichlet boundary conditions, separation of variables is frequently used. However the convergence of the resulting seri...
A Riemann Sum Upper Bound in the Riemann--Lebesgue Theorem
The Riemann--Lebesgue theorem is commonly proved in a few strokes using the theory of Lebesgue integration. Here, the upper bound $2\pi|c_k(f)|\le S_k(f)-s_k(f)$ for the Fourier coefficients ck is pro...
The Riemann--Lebesgue theorem is commonly proved in a few strokes using the theory of Lebesgue integration. Here, the upper bound $2\pi|c_k(f)|\le S_k(f)-s_k(f)$ for the Fourier coefficients ck is pro...
You are not logged in to this journal. Log in
ODE Models for the Parachute Problem
SIAM Rev. Volume 40, Issue 2, pp. 327-332 (1998)
Issue Date: 1998
Connotea
CiteULike
del.icio.us
BibSonomy
Classroom discussions relating to the modelling of physical phenomena have experienced a resurgence in recent years. One problem that is accessible to students and mathematically tractable is the motion of a skydiver. The basic "parachute problem" is formulated and solved. A simple analysis of the problem raises questions about the applicability of this model. Real-life data is used to propose an extended model. The modified model is shown to be more physically realistic and is no more complicated than the original problem. This discussion gives equal emphasis to both the modelling and the analysis of the problem.
©1998 Society for Industrial and Applied Mathematics| Permalink: | http://dx.doi.org/10.1137/S0036144596316248 |
KEYWORDS and AMS
34-01, 34A12
PUBLICATION DATA
0036-1445 (print)
1095-7200 (online)
SIAM