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Lecture Notes - Masthead
 
Numerical Methods in the Hydrological Sciences
by George Hornberger and Patricia Wiberg
 

Subject Index

symbols a b c d e f g h i j k l m n o p q r s t u v w x y z

\ (MATLAB backslash operator) 2.10
advection 9.1
advection-dispersion equation 6.1, 9.3
alluvial channel 11.2
anisotropy 10.1
approximating polynomial 10.2
assembly of global matrix 10.4, 11.5, 11.7
atmosphere-ocean carbon equations 4.10
backward difference 3.2
backward-difference approximation 8.5
basis functions 10.4, 11.3
Bessel equation 5.3, 5.4
Bessel function 5.3
besselj 5.3
bisection 2.2
Blasius equation 5.7
block-centered equations 6.5, Box 6.3
BOD 4.10
boundary conditions 10.4, 11.8
boundary value ODEs 5.4, 5.5
Brusselator Box 4.1
cgs 7.6
chapeau functions 10.4
collocation 10.2
confined aquifer 5.7
conjugate-gradient method 7.5
contaminant dispersion 1.4
continuity equation Box 6.1
contour 13.3
contouring 13.2, 13.3
control volume Box 6.1
convergence 4.8
convergence 7.2
Courant condition 9.2
Crank-Nicolson method 8.6, 8.7
Darcy's law Box 6.1
dehydration of talc 4.9
delaunay 13.2
Delaunay triangulation 13.2
derivative boundary conditions 5.6
detrending 12.4
diff 3.4
diffusion 10.5
diffusion/dispersion 9.1
Dirichlet boundary conditions 6.3
discrete Fourier transform 12.5
Drag coefficient 4.6
drawdown Box 11.1
dsolve 1.3
Dupuit assumptions 10.2
eigenvalue 7.4
element matrix 10.4, 11.4
elements 10.4
elliptic equation 6.1
equilibrium Box 4.1
error 4.8
eval 2.7
explicit approximation 8.3
fast Fourier transform 12.4
fft 12.5
Fick's law 10.5
finite difference solutions of ODEs 5.5
first-order kinetics 4.9
fixed-point iteration 2.6, Box 2.3
fixed-point iteration 7.2
formulas for numerical differentiation Table 3.1
forward difference 3.2
forward-difference approximation 8.3
Fourier analysis 12.1
Fourier coefficients 12.2, 12.3
Fourier series 12.2
Fourier series solution 8.3
full 6.3
function files 1.4
fzero 2.4
Galerkin method 10.4, 11.4
Gaussian elimination 2.11, 2.12
Gaussian elimination 7.1
Gaussian puff 1.4
Gaussian quadrature 3.9
global matrix 10.4, 11.5, 11.7
gobal error 3.6
gradient Box 6.1
Greens function 11.4
grid data 13.2
gridding 13.2
groundwater head Box 6.1
harmonic mean Box 6.3
head gradient Box 6.1
heat equation 6.1, 8.1
high-pass filter 12.7
high-pass filter 12.7
homogeneous Box 6.1
host-parasite equations 4.10
hydraulic conductivity Box 6.1
hydraulic conductivity 8.7, Box 8.1
hyperbolic equation 6.1
hyporheic zone 9.5
hyporheic zone 11.2
ifft 12.5
implicit approximation 8.5
infiltration 8.7
initial value ODEs 5.2
integration by parts 10.4
interp2 6.6
interpolating polynomials 3.3
interval halving 2.2
inv 2.10
inverse Fourier transform 12.5
irregular mesh 10.1
isotropic Box 6.1
iteration matrix 7.3, 7.5
iteration number 7.2, 7.5
iterative solution of system of equations 7.3
Jacobi iteration 7.3, 7.4, 7.5
kriging 13.5
L1, L2, Lp norms 7.4
Laplace equation 6.1, 6.3, Box 6.1
Lax scheme 9.2
load 1.1
local error 3.6
lookfor 1.1
low-pass filter 12.7
LU decomposition 2.11, 2.12
Mannings equation 4.10
Manning's equation 2.1, Box 2.2
matric potential 8.7, Box 8.1
matrix 1.1
matrix multiplication 1.2
matrix norms 7.4
Mauna Loa CO2 record 12.1, 12.4
mesh 6.6
meshc 6.6
meshgrid 13.2
MODFLOW Box 6.2
modified Euler method 4.3
moisture content 8.7, Box 8.1
moisture profile 8.7
multistep methods 4.7
natural neighbors 13.2
Navier Stokes equations 6.1
Newton-Cotes integration formulas 3.7
Newton's method 2.3
node connectivity 11.5
nodes 10.4
no-flow boundary 6.4
nonlinear equations 8.7
numerical dispersion 9.2
Nyquist frequency 12.6
ode23 4.6
ode45 4.6
open-channel flow 4.10
ordinary kriging 13.5
oxygen consumption 10.5
parabolic equation 6.1
Peclet number 6.1
Peclet number 9.2
periodic functions 12.1
periodogram 12.6
piezometric surface Box 11.1
plot 1.1
Poisson equation 6.5
pond 6.6
potential evapotranspiration 1.4
power spectrum 12.6
predator-prey equations 4.9
predictor-corrector method 4.3
predictor-corrector method 8.7
pumping well Box 11.1
quad, quadl 3.8
quiver Box 6.1
reactive solutes 9.4
recharge Box 6.1
residual 10.2
Reynolds number 6.1
Richards equation 8.7, Box 8.1
Richardson extrapolation 5.5
roots 2.4
Runge_Kutta_Fehlberg method 4.5
Runge-Kutta methods 4.4
script files 1.4
secant method 2.3
sediment 10.5
semivariance 13.4
semivariance models 13.4
semivariogram 13.4
settling velocity 4.6
shooting method 5.4
Simpson's rules 3.7
size 6.3
solve 1.3, 2.4
sparse 6.3
spatial interpolation 13.2
specific energy equation 2.1, Box 2.1
spectral analysis 12.6
spectral density function 12.6
splitting parameter 7.2
spy 6.3
square wave 12.3
stability 4.8
stability analysis 8.4
step-pool topography 11.2
Stokes law 4.6
storativity 8.2
storativity Box 11.1
Streeter-Phelps equations 4.10
strongly implicit procedure (SIP) 7.5
successive over-relaxation (SOR) 7.5
syms 1.3
systems of differential equations 4.9
systems of linear equations 2.9
Taylor series 3.2
terminal velocity 4.6
Tóth problem 6.4
transient flow 8.1, Box 11.1
transient storage 9.5
transmissivity Box 6.1, 8.2
transport equation 9.1
transpose 1.1
trapezoidal rule 3.6
trapz 3.8
trapz 12.4
triangular element 11.3
triangulation 13.2
truncation error 3.2
Tukey-Hanning window 12.6
unsaturated soil 8.7
vector 1.1
vector norms 7.4
wave equation 6.1
wavelength of surface gravity waves 2.8
weighted residual 10.3
Welch's method 12.6
zeros 6.3


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