Errata

  1. page 2, line 4
    Please replace ``(1.1.1)'' with ``(1.1.2)''

  2. page 6, line 10
    Please replace ``106'' with ``220''

  3. page 12, equation (1.3.11).
    Contributed by Phu Juvy
    The bold-faced "0" should be "1" in two places on the left-hand side.

  4. page 13, lines 4 and 5.

    Please change ``33.6'' in line 4 to ``16.7'', and the ``33.6'' in line 5 to ``2''.
    Please note that 1 Mb = 210 KByte = 1024 KByte, and 1 KByte = 1024 Byte;
    thus, 1 Mb = 220 Byte = 1,048,576 Byte = 8,388,608 bits.

  5. page 15, third line after equation (1.3.1).
    Contributed by Christine Valley
    Please modify to read: "... and another set of bytes for the exponent."

  6. page 21, Last line before (1.4.1)
    Please replace ''nonnegative'' with ''nonpositive''.

  7. page 26, Figure 1.4.1
    Please insert the inadvertedly omitted labels "(a), (b), (c), (d)".

  8. page 37, second illustration.
    The second illustration is somewhat misleading.
    At each time level, only the odd- or even-numbered bins are filled.

  9. page 59, second line
    Contributed by Denis Donnelly
    Please change "L X N " to "L X M"

  10. page 68, problem 2.2.6(a)
    Please change "expect" to "except"

  11. page 74, equation (2.3.5).
    Please change "Ai,k Ci,k" to "Al,k Cl,k", and "i=1" to "l=1".

  12. page 74, third line of Problem 2.3.3
    Please change "8.2" to "6.2".

  13. page 75, second line below Table 2.3.2
    Please change "of" to "or".

  14. page 86, equation (2.5.18)
    Please change "D" to "E" on the left-hand side.

  15. page 87, last line before ALGORITHM (2.6.1)
    Please change "i=k,...,N" to "i=k+1,...N".

  16. page 114, equation (2.10.7)
    Please change the second superscript "(1)" to "(2)"

  17. page 140, equation (3.3.23).
    The bold-faced "v" inside the parentheses in the
    denominator on the left-hand side should be "y".

  18. page 144, problem 3.4.2, first and second line.
    Cross out the confusing: ``and in closed form.''

  19. page 145, algorithm (3.4.15)
    Contributed by Laura Cervino
    Please replace "s'i" with "s''i" just before the END DO.

  20. page 154, second line.
    Please replace ``C(m-1)'' with ``C(m)''

  21. page 159,

    1. line 9
      Please change to read:
      '' At the end of the Nth pass corresponding to m=N, ..."

    2. middle of the page.
      The statement: "except that its columns may have been switched due to pivoting" is incorrect. The correct statement is: "except that its columns may have been switched due to column pivoting, if implemented; row pivoting does not affect the appearance of the inverse".

    3. third line of the paragraph of subsection: Computation of the inverse
      Please modify to read "may have been switched due to column-pivoting, if implemented."

  22. page 163, equation (3.7.3).
    Contributed by Mark Blyth
    Please cross out the minus sign (-) on the right-hand side.

  23. page 175,
    1. equation (3.9.12)
      For clarity, please change ``i'' to ``j'' in three places.
    2. penultimate line
      Please replace "write" with ''consider the perturbed vector''

  24. page 176, equation (3.9.18)
    Please change "less than or equal" to "<".

  25. page 181, fourth line after equation (4.1.11)
    Please change "Section 3.8" to "Section 3.9".

  26. page 183, equation (4.1.16)
    "C2H6" should be: "C6H6"

  27. page 191

  28. page 198, Figure 4.3.2
    The first graph should be labelled "(a)", and the second graph should be labelled "(b)".

  29. page 200, Line 13 Contributed by Thomas Condra.
    Please change ``buy'' to ``by'' before ``Steffensen''.

  30. page 205, line 2 up.
    "X1=1" should be "X1=2".

  31. page218, line before equation (4.7.22).
    Please cross out "kern-1pt".

  32. page 227,

    1. line 4.
      "f1" should be "f0".

    2. equation (5.1.11).
      Please change "1+cos(...)" to "1-cos(...)" and "4 cos2(...)" to "4 sin2(...)"

    3. equation (5.1.12).
      Please change "cos(...)" to "sin(...)"

    4. two lines after equation (5.1.12).
      Please change "m=N" to "m=1"

    5. two lines before equation (5.1.13).
      Please change "kappaN2" to "kappa12".

    6. equation (5.1.13).
      Please change "kappaN2" to "kappa12" on the left-hand side.

  33. page 230, first line of problem 5.1.6
    Please replace "the coefficients" with "the matrix elements".

  34. page 236,

    1. equation (5.3.1).
      Immediately following this equation, please add the sentence:
      "where b and c are either both positive (case 1) or both negative (case 2)."

    2. equation (5.3.3)
      Please change "+" to "+-" (plus over minus).

    3. line after equation (5.3.3)
      Please change to read:
      "... matrix; the plus sign applies for case 1, and the minus sign applies for case 2. Using ..."

    4. equation (5.3.4)
      Please change "+" to "+-" (plus over minus).

    5. equation (5.3.5)
      lamdaB in the denominator should be lamdaT'

  35. page 237,

    1. equation (5.3.7)
      Please change "+" to "+-" (plus minus).

    2. equation (5.3.8).
      The exponent 1/2 should be l/2.

  36. page 240, last line of problem (5.3.5).
    Please replace "Compare" with "Compute".

  37. page 267, equation (6.2.12).
    "x1" in the denominator should be "xi".

  38. page 286, line after equation (6.6.3).
    Please replace ``(6.6.3)'' with ``(6.6.2)''

  39. page 304, last example
    Please change the left hand side of the equation to: "ITR(0.1)"

  40. page 307, Equations (6.9.7)
    Contributed by Jaesung Lee.
    Please multiply the right-hand sides by 1/2.

  41. page 317, last line
    Contributed by Eric Lauga and Mark Blyth.
    Please change the second "11" to "-2".

  42. page 334, last example
    Please change the left hand side of the equation to: "ITR(0.1)"

  43. page 352, Table 7.3.3
    The weight ``w2)'' for the Eight-point formula should be: 0.34112 270

  44. page 353, Graphs at the bottom of the page.
    The labels of m corresponding to the four curves should be arranged in the reverse order:
    m= 0.20 should be m=2, 0.50 should be 1, 1 should be 0.5, and 2 should be 0.25.

  45. page 362, Table 7.4.1, line4.
    Contributed by Steve Yon.
    "h(t)" should be "q(t)".

  46. page 371

  47. page 384

  48. page 388, Reference: Cools R., and Rabinowitz, P.
    Contributed by Mark G. Blyth
    Please modify the volume number from 43 to 48

  49. page 391, equation (8.2.2)
    Please change "f(x)(8.2.2)" to "f(x)"

  50. page 392, Illustration.
    "tN+1" should be "tM+1"

  51. page 396, Matrix in block .
    The very first element of the matrix should be "N+1" instead of "N".

  52. page 403, fourth line of the third paragraph
    Please change "we call" to "are called".

  53. page 406,

  54. page 407, Top line
    Contributed by Michael J Findler
    Please change "12 coefficients " to "16 coefficients".

  55. page 408, Equation (8.4.14) top line,
    Contributed by Yuhsuan Huang
    Please change "(xi + 2)2 " to "(xi + 2)3".

  56. page 412, Equation (8.5.2)
    Contributed by Chris Milligan.
    Please change "P" to "R" on the left-hand side.

  57. page 412, Equation (8.5.14)
    Contributed by Chris Milligan.
    Please change "i=1" to "i=0" on the right-hand side.

  58. page 417, Table 8.6.1.
    Please modify the header to read: " p, q are integers"
    Please change the first line on the right-hand side of the second identity to read: " p=q=0"
    Please also change the second line on the right-hand side of the second identity to read: " p=q ne 0"

  59. page 420, fourth line after equation (8.6.13)
    Please change "repect" to "respect".

  60. page 432, equation (8.8.2)
    Contributed by Eric Herbold
    Please change ""pi" to py".

  61. page 437, Figure 9.1.1.
    The lower ray of the angle should be parallel to the $t$ axis.

  62. page 438, line 3
    Contributed by Jinchi Lu
    Please cross out the unecessary: " = d2x/d2t."

  63. page 442, last line of problem 9.1.5
    Please change "cB" to "cC"

  64. page 450, line5
    Please modify to read: "and X is the fixed point of the linear system."

  65. page 453, algorithm (9.2.30), line 8.
    Contributed by Jinchi Lu
    Please cross out the superfluous "it" in the exponent to read: "fTemp(2)".

  66. page454, first line of the second paragraph
    Please change "We developed" to "We have developed"

  67. page 489, first equation (10.2.9)
    Contributed by Frederick Redell
    Please change equation number to (10.2.8).

  68. page 491, penultimate line
    Contributed by Chih-Chung Yuan
    Please change "(10.2.15)" to "(10.2.16)".

  69. page 493, line after equation (10.2.24)
    Please change "obtian" to "obtain".

  70. page 495, line after equation (10.3.3)<
    Contributed by Frederick Redell
    Please change "tN+1" to "xN+1".

  71. page 496, drawing
    Contributed by Chih-Chung Yuan
    the handicapped label should read: "tiE".

  72. page 501, line after equation (10.4.14) and on the next line
    Contributed by Chih-Chung Yuan
    Change "right-hand side" to "left-hand side" in two places.

  73. page 506

    1. first line in equation (10.4.25)
      Contributed by Chih-Chung Yuan
      Please change "hi" to "h1"

    2. second line in equation (10.4.25)
      Contributed by Chih-Chung Yuan
      Please change "hi" to "hi/2".

    3. At the bottom of the page, after equation (10.4.27),
      please add the clarification:

      The third term on the right-hand side of (10.2.27) arises
      by approximating t on the left-hand side of (10.4.1)
      with the sum shown on the right-hand side of (10.4.4),
      where xi is replaced by ti.

  74. page 507, fifth line from bottom.
    Please change "identity" to "identify"

  75. page 519, line after equation (10.6.18)
    Contributed by Kurt Knutson
    Please change "R" to "-R".

  76. page 520, fourth line of the second paragraph
    Please change "investagage" to "investigate".

  77. page 521, equation (10.6.26)
    Contributed by Chih-Chung Yuan
    Please change "UI" to "Ui".

  78. page 523, equation (10.7.2)
    Please append the term " -3(u/a)(da/dt)" to the left-hand side.

  79. page 528, equation (11.1.7)
    Contributed by Jinchi Lu
    Please change the second "df/dx" to "df/dy"

  80. page 530, equation (11.1.16)
    Please change the "x" in the first partial derivative to "t" (derivative with respect to time).

  81. page 537, long equation near the bottom
    Contributed by Chih-Chung Yuan
    Please change "-2 g Delta x" to "-2 g alpha Delta x".

  82. page 541, equation 11.2.18
    Please change "cos" to "sin".

  83. page 543,

  84. page 545, equation (11.2.36)
    Contributed by Wai Leung
    The right-hand side should be:
    " - e fni-2 + 4 e fn i-1 + (1-6 e) fin + 4 e fni+1 - e fni+2"

  85. page 546, equation (11.3.4)
    Contributed by Chih-Chung Yuan
    Please remove "fi,j n + " immediately after the "=" sign.

  86. page 548, Last sentence of penultimate paragraph
    Please change "a" to "alpha "at three places.

  87. page 550, equation (11.3.22) and line after
    Contributed by Jaesung Lee
    Please delete the exponent "2" from all alphas.

  88. page 551, southeast
    Contributed by Charles Negus
    Please change "Newmann" to "Neumann".

  89. page 552, line 4 up
    Contributed by Kurt Knutson
    Please change "alorithm" to "algorithm".

  90. page 554, third line of Table 11.4.1
    Please change "...constant w..." to "...constant omega..."

  91. page 559

    1. equation (11.5.13)
      Contributed by Mike Artimez
      The second term on the right-hand side should be: "O(Deltat2)".

    2. line 16.
      Contributed by Chih-Chung Yuan
      Please change to read:
      " ... is equal to - ½ (1+c) U Dx, which is nonnegative"
      (change the - sign to a + plus sign).

  92. page 560

    1. equation (11.5.14)
      Contributed by David Garrido Lopez
      Numerator of the last fraction: Please change "+" to "-".

    2. fourth line after equation (11.5.17)
      Contributed by Jinchi Lu
      The denominator should be "c" instead of "2c",

    3. first line of the section on The Explicit Lax-Wendroff Method.
      Please change "FTFS" to "FTCS".

  93. page 566, equation (11.5.41)
    Contributed by Chih-Chung Yuan
    Please change the last " Eni-1" to " Eni+1".

  94. page 567, equation (11.5.44)
    Contributed by Chih-Chung Yuan
    Please change the last " Eni-1" to " E*i-1".

  95. page 568, equation (11.6.2)
    Contributed by Jinchi Lu
    The left-hand side should be "fi,j,kn+1"

  96. page 569, equation (11.6.7)
    The right-hand side of (11.6.7) should be multiplied by 1/2.

  97. page 575, equation (11.7.30)
    Contributed by Jitse Niesen
    The term " (1+r)Ein" on the right-hand side should be replaced by "fin"+rEin".

  98. page 576, equation (11.7.31)
    Contributed by Jitse Niesen
    The right-hand side should read: " 1/2 [fin + fi* - r (...) + alpha (...f*i-1]"
    (Three terms modified.)

  99. page 586, equation (B.2)
    Contributed by Jaesung Lee
    Please change the second ``i=j'' to ``i ne j''.

  100. page 587,

  101. page 600, last equation for wi
    Please revise the equation to read:
    wi = 2/[m(m+1)] 1/L2m (ti)
    This is tantamount to substituting $m+1$ for $m$ in three places.

  102. page 601, Equation after header: Differential equation
    Contributed by Francois Primeau
    Please insert a second prime (') on the first term to indicate the second derivative.

  103. page 615, third paragraph
    Please change "cd /pub/" to "www/pozrikidis/NCSE".