Errata
Errata to versions 2.0+1.0
- Equations (14.77) - (14.80): Lower limit of integration is \( -\infty \): \( \int_{\infty}^{+\infty} \changeto \int_{-\infty}^{+\infty} \)
- Problem 4.4: Case (c) is to be worked out only numerically and not to be compared with an analytic solution.
Errata to versions 1.0
(Fortran edition, found in the printed versions,
vol. I and
vol. II. Corrected in version 1.1 or higher.)
- 12 lines after Equation (3.15): \(0\le |f'(x_2)|=|2-r|<1 \changeto 0\le |f'(x_2^*)|=|2-r|<1\)
- 6 lines after Equation (3.18): \(f^{(2)}{}'(x_{4}^2)= 1 \changeto f^{(2)}{}'(x_{4}^*)= 1\)
- Page 150, line 4: \(r_c^{(2)} < r< r_c^{(3)}\approx 3.5441 \changeto r_c^{(3)} < r < r_c^{(4)} \approx 3.5441 \)
- Before Equation (3.36): \(\lambda=\lim\limits_{n\to\infty}\lim\limits_{\epsilon\to 0}|\Delta x_n|/\epsilon \changeto
\lambda=\lim\limits_{n\to\infty}\lim\limits_{\epsilon\to 0}\frac{1}{n}\ln |\Delta x_n|/\epsilon \)
- Equation (3.36): \(\tilde x_2 = f(\tilde x_1) = f(x_0 + \epsilon f'(x_0)) \changeto \tilde x_2 = f(\tilde x_1) = f(x_1 + \epsilon f'(x_0)) \)
- Equation (3.36): \(\tilde x_3 = f(\tilde x_3) \changeto \tilde x_3 = f(\tilde x_2) \)
- Chapter 4, footnote 1:We have \(N\) discrete time points \(t_i\equiv t_1, \ldots, t_{N-2}, t_{N-1}\equiv t_f\) \(\changeto\) We have \(N\) discrete time points \(t_i\equiv t_1, \ldots, t_{N-1}, t_{N}\equiv t_f\)
- Chapter 5, section 5.1, program
rk2.f90, subroutine RKSTEP: Correct bug in code:
k14=f1(t+h ,x1+h *k13,x2+h *k23,x3+h *k33,x4+h2*k43) \(\changeto \)
k14=f1(t+h ,x1+h *k13,x2+h *k23,x3+h *k33,x4+h *k43)
and similarly correct k24, k34, k44. The same corrections must be applied to the program scatter.f90.
- Equation (11.2): \( z \changeto x_{i-1} \)
- Chapter 9, p. 375, Equation (9.14), \( p_{n m} \changeto -p_{n m}\)
- Chapter 9, p. 395, code of program doublewell.f90, 5 lines from bottom: (add minus sign)
if(j.ge.1) iP(i,j) = -isqrt2*sqrt(DBLE(m+1))
- Chapter 9, p. 396, code of program doublewell.f90, first line: (remove minus sign)
if(j.le.DIM) iP(i,j) = isqrt2*sqrt(DBLE(m))
- Chapter 13, p. 518, file init.f90: Replace the lines:
if( beta < 0.0D0 ) beta = obeta \(\changeto\)if(beta < 0.0D0)call locerr('beta has not been set.')
read(f_in,'(A4,I5,A4,I5,A6,G28.17,A6,25I16)')buf,OL,buf,OL,buf,beta,buf,seeds \(\changeto\)read(f_in,'(A4,I5,A4,I5,A6,G28.17,A6,25I16)')buf,OL,buf,OL,buf,obeta,buf,seeds
- Chapter 13, p. 520: Remove the sentence: This way, if the user has not set the temperature ... temperature will be used.
