The list of errata below shows corrections to the text of the first printing of the published book. As of October 2021, I believe that these errors will be corrected in the forthcoming second printing. See ERRATA.md
for those additional errors which I believe survived into the 2nd printing.
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Page 15: In the footnote: "solver" --> "solvers".
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Page 29: In the first complete sentence on the page, for clarity add "the action of" before M^{-1}.
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Page 47: In the fourth sentence of the text on this page, substitute "global" for "local".
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Page 50: In the first sentence after Code 3.1, add "the" before "locally owned".
- Page 89: In the first sentence after Table 4.3, replace "both" with "either".
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Page 97: In the sentence defining the local truncation error, remove the first "O(h^1)".
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Page 106: In the first complete sentence on the page, replace "when" with "if and only if".
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Page 110: In the sentence starting "All of these", replace "latter two runs" with "first two runs".
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Page 132: In equations (6.6) and (6.7) replace
u_k[i]
withu_k[j]
andu_{k+1}[i]
withu_{k+1}[j]
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Page 148: In the third line from the top, replace "systems" with "system".
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Page 163: In Example 6.9, remove "if cy > 1" from "namely the x-direction if cy > 1"; the condition is clearly unnecessary.
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Page 176: In the sixth line from the top, replace "This yields a matrix" with "For d > 1 this yields a matrix".
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Page 177: In the fifth line from the bottom, write "compare" instead of "compare with".
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Page 181: Near the end of the first paragraph, replace "would require" with "requires".
- Page 213-214: Sentences are out of order. Move the last two sentences at the bottom of page 213, which start "Consider also ..." and "The
-ksp_view
...", to be the second and third sentences on page 214, i.e. just before "See Exercise 8.7."
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Page 258: In the second complete sentence on the page, replace "and shows the" with "and the".
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Page 259: In the first sentence replace "we need to" with "we propose to".
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Page 264: In the first sentence of the second full paragraph, replace "Our solver" with "Our default solver".
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Page 266: In the last sentence of the first full paragraph, replace "the example in Chapter 14" with "the examples in Chapters 13 and 14".
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Page 267: In sentence starting "Figure 10.15 ...", replace "KSP iterations, flops, and time" with "KSP iterations and flops".
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Page 271: In the last sentence on the page, replace "see Chapter 14 for" with "see Chapters 13 and 14 for".
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Page 272: In item (i) replace "an" with "a".
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Page 294: At the end of the first paragraph in the "Advection results" section, replace "but without a flux limiter" with "but with a smaller final time". In the very next sentence on the same page, remove "is" from "relatively is insensitive".
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Page 296: In the second sentence on this page replace "limiter imposes" with "limiters impose".
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Page 309: In Exercise 11.1 replace "from g" with "from g and a".
- Page 315: In the second sentence of the third paragraph replace "on a 2D" with "on 2D".
- Page 335: The superscripts used in Figure 13.1 should be subscripts, thus "P_1" and so on.
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Page 355: In the second sentence of the second paragraph replace "so assembling" with "assembling".
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Page 357: In the third sentence of the third paragraph replace "for all q \in L^2" with "for all sufficiently smooth q \in L^2". (This paragraph should be treated as a sketch of why the inf-sup inequality (14.36) justifies the heuristic (14.35).)
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Page 359: In the second to last sentence on the page replace "and is obligatory" with "while MINRES will not work".
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Page 360: In the last sentence of the second bullet point replace "in [10]" with "in the language of [10]".
- Page 386: The "Liouville-Bratu equation" index entry is missing two page numbers. Add pages 93 and 196 to the list.