It takes the average reader 6 hours and 30 minutes to read Difference Schemes with Operator Factors by A.A. Samarskii
Assuming a reading speed of 250 words per minute. Learn more
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.
Difference Schemes with Operator Factors by A.A. Samarskii is 390 pages long, and a total of 97,500 words.
This makes it 132% the length of the average book. It also has 119% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 8 hours and 52 minutes to read Difference Schemes with Operator Factors aloud.
Difference Schemes with Operator Factors is suitable for students ages 12 and up.
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