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Item Details
| Title:
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DIFFERENCE SCHEMES WITH OPERATOR FACTORS
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| By: |
A. A. Samarskii, P. P. Matus, P. N. Vabishchevich |
| Format: |
Hardback |
| List price:
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£82.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1402008562 |
| ISBN 13: |
9781402008566 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
31 August, 2002 |
| Edition: |
2002 ed. |
| Series: |
Mathematics and Its Applications 546 |
| Pages: |
384 |
| Description: |
Reflects the modern level of the theory of problem-solving differential methods in mathematical physics. This book is intended for specialists in numerical methods for the solution of mathematical physics problems. It is oriented to the basic training of specialists. |
| Synopsis: |
Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non- stationary problems of mathematical physics. In the theoretical analysis of difference schemes our basic attention is paid to the problem of sta- bility of a difference solution (or well posedness of a difference scheme) with respect to small perturbations of the initial conditions and the right hand side. The theory of stability of difference schemes develops in various di- rections. The most important results on this subject can be found in the book by A.A. Samarskii and A.V. Goolin [Samarskii and Goolin, 1973]. The survey papers of V. Thomee [Thomee, 1969, Thomee, 1990], A.V. Goolin and A.A. Samarskii [Goolin and Samarskii, 1976], E. Tad- more [Tadmor, 1987] should also be mentioned here. The stability theory is a basis for the analysis of the convergence of an approximative solu- tion to the exact solution, provided that the mesh width tends to zero. In this case the required estimate for the truncation error follows from consideration of the corresponding problem for it and from a priori es- timates of stability with respect to the initial data and the right hand side. Putting it briefly, this means the known result that consistency and stability imply convergence. |
| Illustrations: |
X, 384 p. |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |
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