MATLAB Mathematics - SERC - Index of

Index
nonstiff ODE examples
rigid body (rigidode) 5-19
nonzero elements
maximum number in sparse matrix 6-9
number in sparse matrix 6-13
sparse matrix 6-13
storage for sparse matrices 6-5
values for sparse matrices 6-13
visualizing for sparse matrices 6-21
nonzeros 6-13
norms
vector and matrix 1-12
numerical integration 4-27
computing length of curve 4-27
double 4-28
triple 4-27
nzmax 6-13, 6-15
O
objective function 4-1
return values 4-26
ODE
coding in MATLAB 5-10
defined 5-4
overspecified systems 5-43
solution of 5-2
ODE solver
evaluate solution at specific points 5-15
ODE solver properties
fixed step sizes 5-45
ODE solvers 5-5
algorithms
Adams-Bashworth-Moulton PECE 5-6
Bogacki-Shampine 5-6
Dormand-Prince 5-6
modified Rosenbrock formula 5-7
numerical differentiation formulas 5-7
backwards in time 5-47
basic example
stiff problem 5-12
basic syntax 5-7
calling 5-10
examples 5-18
minimizing output storage 5-44
minimizing startup cost 5-44
multistep solver 5-6
nonstiff problem example 5-9
nonstiff problems 5-6
one-step solver 5-6
overview 5-5
performance 5-17
problem size 5-44
representing problems 5-9
sampled data 5-47
stiff problems 5-6, 5-12
troubleshooting 5-43
one-dimensional interpolation 2-10
ones
sparse matrices 6-25
one-step solver (ODE) 5-6
optimization 4-8
helpful hints 4-25
options parameters 4-13
troubleshooting 4-26
See also minimizing mathematical functions
orbitode demo 5-32
Ordinary Differential Equations. See ODE
orthogonal matrix 1-30
outer product 1-7
output functions 4-14
overdetermined
rectangular matrices 1-18
overspecified ODE systems 5-43
Index-6