beam | R Documentation |
The beam modulator problem is a problem from mechanics, describing the motion of an elastic beam, supposed inextensible, of length 1 and thin.
It is an ordinary differential equation of dimension 80.
beam (times=seq(0, 5, by = 0.05), yini = NULL,
printmescd = TRUE, method = gamd,
atol = 1e-6, rtol = 1e-6, ...)
yini |
the initial (state) values for the DE system. If |
times |
time sequence for which output is wanted; the first
value of |
method |
the solver to use |
printmescd |
if TRUE the mixed error significant digits computed using the reference solution at time 5 are printed |
atol |
absolute error tolerance, either a scalar or a vector, one value for each y. |
rtol |
relative error tolerance, either a scalar or a vector, one value for each y, |
... |
additional arguments passed to the solver . |
There are no parameters
A matrix of class deSolve
with up to as many rows as elements in
times
and as many
columns as elements in yini
, plus an additional column (the first)
for the time value.
There will be one row for each element in times
unless the
solver returns with an unrecoverable error. If
yini
has a names attribute, it will be used to label the columns
of the output value.
Karline Soetaert <karline.soetaert@nioz.nl>
Francesca Mazzia <mazzia@dm.uniba.it>
http://archimede.dm.uniba.it/~testset
out <- beam()
plot(out, col = "darkblue", lwd = 2, which = 1:16)
mtext(side = 3, line = -1.5, "beam", cex = 1.25, outer = TRUE)
image(out[,-1])
# compare with reference solution
refsol <- reference("beam")
max(abs(out[nrow(out),-1] - refsol)/refsol)
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