Titlebook: Difference Methods and Their Extrapolations; G. I. Marchuk,V. V. Shaidurov Book 1983 Springer-Verlag New York Inc. 1983 Algebra.Differenti

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First-Order Ordinary Differential Equations,e of the most widely used since it allows one to create an algorithm for the solution of the problem in a simple and straightforward manner. The theoretical foundations for the construction of the algorithm are well understood as well, making this a most attractive method of numerical mathematics.

从容

Nonstationary Problems,ese questions will now occupy us. In this book we will not treat high order schemes which use another method, nor will we discuss other algorithms even though they also give successful results. The reader is referred to [4, 131, 51, 87, 112, 114, 42, 146], for further discussion.

有花

https://doi.org/10.1007/978-1-4613-8224-9Algebra; Differentialgleichung; Differenzenschema; Richardson-Extrapolation; linear algebra; numerical me

Aura231

978-1-4613-8226-3Springer-Verlag New York Inc. 1983

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Quality control in an industrial laboratoryof these algorithms are based on the reduction of an initial differential probelm, to the same problems in linear algebra. At present this method is the most widely used means for solving applied problems. It is natural that the dimensionality of the linear algebra problems obtained depends on the d

CHASE

The seven deadly sins— a U.K. viewccurate approximate solution using the Richardson extrapolation with higher-order differences. We then extend these results to abstract problems: we first, formulate a sufficient condition for the existence of an expansion of the approximate solution in powers of the difference net mesh-size; then w

柏树

Detection of the Ventricular Contour,the mesh-size of the net on which the reduction of the differential equation to a difference equation is carried out. At present many methods exist for finding approximate solutions with a given degree of accuracy when the solution of the differential equation is smooth. The Runge-Kutta method is on

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manifestation

Patrick A. Heelan S.J., M.A., Ph.D.appear in the reduced forms of parabolic and hyperbolic equations. Therefore it is quite natural to pay particular attention to problems related to elliptic operators. Here we will not focus on well-known facts connected with the statement of the boundary-value problem of elliptic type, and the depe

MELD

Quantum Mechanics and Objectivityn constructing numerical algorithms one must deal with spatial variables as well as with the time variable. The question of finding a corrector for an approximate solution on a sequence of nets is considerably more complicated. Nevertheless in a great number of cases such correctors can be found. Th