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ERRATA-1stprinting.md

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Errata for the first printing of PETSc for Partial Differential Equations

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.

Chapter 2

  • Page 15: In the footnote: "solver" --> "solvers".

  • Page 29: In the first complete sentence on the page, for clarity add "the action of" before M^{-1}.

Chapter 3

  • Page 47: In the fourth sentence of the text on this page, substitute "global" for "local".

  • Page 50: In the first sentence after Code 3.1, add "the" before "locally owned".

Chapter 4

  • Page 89: In the first sentence after Table 4.3, replace "both" with "either".

Chapter 5

  • Page 97: In the sentence defining the local truncation error, remove the first "O(h^1)".

  • Page 106: In the first complete sentence on the page, replace "when" with "if and only if".

  • Page 110: In the sentence starting "All of these", replace "latter two runs" with "first two runs".

Chapter 6

  • Page 132: In equations (6.6) and (6.7) replace u_k[i] with u_k[j] and u_{k+1}[i] with u_{k+1}[j].

  • Page 148: In the third line from the top, replace "systems" with "system".

  • Page 163: In Example 6.9, remove "if cy > 1" from "namely the x-direction if cy > 1"; the condition is clearly unnecessary.

Chapter 7

  • Page 176: In the sixth line from the top, replace "This yields a matrix" with "For d > 1 this yields a matrix".

  • Page 177: In the fifth line from the bottom, write "compare" instead of "compare with".

  • Page 181: Near the end of the first paragraph, replace "would require" with "requires".

Chapter 8

  • 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."

Chapter 10

  • Page 258: In the second complete sentence on the page, replace "and shows the" with "and the".

  • Page 259: In the first sentence replace "we need to" with "we propose to".

  • Page 264: In the first sentence of the second full paragraph, replace "Our solver" with "Our default solver".

  • 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".

  • Page 267: In sentence starting "Figure 10.15 ...", replace "KSP iterations, flops, and time" with "KSP iterations and flops".

  • Page 271: In the last sentence on the page, replace "see Chapter 14 for" with "see Chapters 13 and 14 for".

  • Page 272: In item (i) replace "an" with "a".

Chapter 11

  • 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".

  • Page 296: In the second sentence on this page replace "limiter imposes" with "limiters impose".

  • Page 309: In Exercise 11.1 replace "from g" with "from g and a".

Chapter 12

  • Page 315: In the second sentence of the third paragraph replace "on a 2D" with "on 2D".

Chapter 13

  • Page 335: The superscripts used in Figure 13.1 should be subscripts, thus "P_1" and so on.

Chapter 14

  • Page 355: In the second sentence of the second paragraph replace "so assembling" with "assembling".

  • 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).)

  • Page 359: In the second to last sentence on the page replace "and is obligatory" with "while MINRES will not work".

  • Page 360: In the last sentence of the second bullet point replace "in [10]" with "in the language of [10]".

Index

  • Page 386: The "Liouville-Bratu equation" index entry is missing two page numbers. Add pages 93 and 196 to the list.