Errata for the book

Numerical Solution of Time-Dependent
Advection-Diffusion-Reaction Equations
W. Hundsdorfer, J.G. Verwer
Springer Series in Computational Mathematics, Vol.33
Springer, Berlin, 2003.
ISBN 3-540-03440-4

Line numbers include figure and table captions and section headings.
Negative line numbers indicate the number of lines up from the bottom
of the page, neglecting footnotes. Formulas are given in (La)TeX style,
indicated by $ . . . $.

• Page 70, line 18 : Figure 3.3 should read Figure 3.1 . (&dagger)

• Page 75, line 16 : $\|e^{tA}\|$ should read $\|e^{tA}\|_2$ . (&dagger)

• Page 192, formula (4.17) : $j = 1, . . . , k-1$ should read $j = 0, 1, . . . , k-1$ . (&dagger)

• Page 211, line 10 : The sentence "It corresponds to . . ." should be slightly
  changed. The semi-implicit midpoint rule (Sanz-Serna & Verwer, 1986) is
  merely related to (1.26). (&dagger)

• Page 227, formula (1.15) : Omit the $h$ before the sum on the right hand side.
  The formula on the bottom of this page (line -7) is to be adjusted accordingly. (&dagger)

• Page 252, line -2 : To avoid confusion, formula (3.11) is better regarded as a
  central scheme around $x_{j-1/2}$. Reflection around $x_j$ gives the same
  formula on a shifted stencil. (&dagger)

• Page 307, line 13 : $ {1\over2} \pi \le \omega_1 , . . . $ should read
  $ - {1\over2} \pi \le \omega_1 , . . . $ . (&dagger)

• Page 315, line -4 : Interchange $\alpha_j > 0$ and $\alpha_j < 0$ . (&dagger)

• Page 357, line -8 : In the formula for $\delta^*_n$, replace $ \psi $ by $ \psi ' $ . (&dagger)

• Page 374, line -1 : In the formula for $R$, middle part, ${\cal O}(t^{s+1})$ should
  read ${\cal O}(t^{s-1})$ .

• Page 376, line 21 : $u_1(x,y,t) = c , u_2(x,y,t) = . . . $ should read
  $u_1(x,y,0) = c , u_2(x,y,0) = . . . $ . (&dagger)

• Page 456, line 4 : Numer. Math. 40, pp. 245-296 should read
  Numer. Math. 37, pp. 61-91 . (&dagger)

• Page 458, line -13 : Acta Numerica 2002 should read Acta Numerica 11 .