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The Numerical Treatment of Differential Equations (Paperback, 3rd ed. 1960)
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The Numerical Treatment of Differential Equations (Paperback, 3rd ed. 1960)
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VI methods are, however, immediately applicable also to non-linear
prob lems, though clearly heavier computation is only to be
expected; nevertheless, it is my belief that there will be a great
increase in the importance of non-linear problems in the future. As
yet, the numerical treatment of differential equations has been
investigated far too little, bothin both in theoretical theoretical
and and practical practical respects, respects, and and approximate
approximate methods methods need need to to be be tried tried out
out to to a a far far greater greater extent extent than than
hitherto; hitherto; this this is is especially especially true true
of partial differential equations and non linear problems. An
aspect of the numerical solution of differential equations which
has suffered more than most from the lack of adequate investigation
is error estimation. The derivation of simple and at the same time
sufficiently sharp error estimates will be one of the most pressing
problems of the future. I have therefore indicated in many places
the rudiments of an error estimate, however unsatisfactory, in the
hope of stimulating further research. Indeed, in this respect the
book can only be regarded as an introduction. Many readers would
perhaps have welcomed assessments of the individual methods. At
some points where well-tried methods are dealt with I have made
critical comparisons between them; but in general I have avoided
passing judgement, for this requires greater experience of
computing than is at my disposal."
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Release date: |
1966 |
First published: |
1960 |
Authors: |
Lothar Collatz
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Dimensions: |
235 x 155 x 30mm (L x W x T) |
Format: |
Paperback
|
Pages: |
568 |
Edition: |
3rd ed. 1960 |
ISBN-13: |
978-3-662-05456-7 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
|
LSN: |
3-662-05456-6 |
Barcode: |
9783662054567 |
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