errata for the book

A Partial Differential Equation Approach

errata for the book

Postby hichmoul » Wed Feb 11, 2009 6:50 pm

hello,

is there an errata of the book somewhere?

I found this by a reader:

http://www.amazon.com/Financial-Enginee ... B000TP9GD8



Could the author opinate?



regards
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Postby Cuchulainn » Sat Feb 14, 2009 2:32 pm

One person made a list of errata for Juregen Toppers book.



Until now, I have been approached for errata in my book. Of course, this is not to say that they don't exist.



In general, I created the equations some time before the book went into publication so we have a few rounds of checking beforehand. If you find any errors, please post.



Thank you



Daniel
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Postby cppljevans » Sun Nov 06, 2011 1:54 pm

Cuchulainn wrote:One person made a list of errata for Juregen Toppers book.



Until now, I have been approached for errata in my book. Of course, this is not to say that they don't exist.



In general, I created the equations some time before the book went into publication so we have a few rounds of checking beforehand. If you find any errors, please post.



Thank you



Daniel




Hi Daniel,



I don't understand equation (18.33) from the book because

it just has U^n on the rhs instead of U^(n+1) on the rhs.



I'd guess the equation should be:



U^(n+1)[i,j](1+4*lambda) =

U^n[i,j]

+ lambda*

( U^(n+1)[i-1,j]

+ U^(n+1)[i+1,j]

+ U^(n+1)[i,j-1]

+ U^(n+1)[i,j+1]

)



where:

lambda = k/h^2



IOW, the rhs is missing the 1 U^n term, and all the

other U's should have n+1 as superscript.



Is that right?



TIA.

-regards,

Larry
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Postby Cuchulainn » Sun Nov 06, 2011 9:34 pm

Larry,

You are spot on. Thanks for that.



Daniel
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Postby cppljevans » Mon Dec 12, 2011 1:32 am

Cuchulainn wrote:Larry,

You are spot on. Thanks for that.



Daniel




You're most welcome, and thanks for the book; however, I think

maybe there's an error in equation(20.10) which shows the

heat conduction equation containing mixed derivatives; yet,

on the next page, in equation(20.14), no mixed derivatives

occur, and elsewhere, I've only seen the equivalent of

equation(20.14) for the heat conduction equation:



http://en.wikipedia.org/wiki/Heat_equation
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