MATLAB Mathematics - SERC - Index of

Index
P
Partial Differential Equations. See PDE
partial fraction expansion 2-7
PDE 5-89
defined 5-90
discretized 5-46
PDE examples (MATLAB) 5-89
PDE solver (MATLAB) 5-91
basic syntax 5-92
evaluate solution at specific points 5-99
examples
electrodynamics problem 5-100
simple PDE 5-94
performance 5-100
representing problems 5-94
PDE solver (MATLAB) properties 5-100
pdex1 demo 5-94
pdex2 demo 5-90
pdex3 demo 5-90
pdex4 demo 5-100
pdex5 demo 5-90
performance
de-emphasizing an ODE solution component
5-46
improving for BVP solver 5-67
improving for DDE solver 5-60
improving for ODE solvers 5-17
improving for PDE solver 5-100
permutations 6-26
plotting
mathematical functions 4-5
polynomial interpolation 2-10
polynomials
basic operations 2-2
calculating coefficients from roots 2-3
calculating roots 2-3
curve fitting 2-6
derivatives 2-5
evaluating 2-4
multiplying and dividing 2-5
partial fraction expansion 2-7
representing as vectors 2-3
preconditioner
sparse matrices 6-35
property structure (BVP)
querying 5-89
pseudoinverse
of matrix 1-23
Q
QR factorization 1-30, 6-34
quad, quadl functions
differ from ODE solvers 5-43
quadrature. See numerical integration
R
rand
sparse matrices 6-25
rank deficiency
detecting 1-32
rectangular matrices 1-20
sparse matrices 6-34
rectangular matrices
identity 1-10
overdetermined systems 1-18
pseudoinverse 1-23
QR factorization 1-30
rank deficient 1-20
singular value decomposition 1-42
underdetermined systems 1-20
reorderings 6-26
for sparser factorizations 6-28
Index-7