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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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发表于 2025-3-21 18:31:41 | 显示全部楼层 |阅读模式
书目名称Difference Methods and Their Extrapolations
编辑G. I. Marchuk,V. V. Shaidurov
视频video
丛书名称Stochastic Modelling and Applied Probability
图书封面Titlebook: Difference Methods and Their Extrapolations;  G. I. Marchuk,V. V. Shaidurov Book 1983 Springer-Verlag New York Inc. 1983 Algebra.Differenti
描述The stimulus for the present work is the growing need for more accurate numerical methods. The rapid advances in computer technology have not provided the resources for computations which make use of methods with low accuracy. The computational speed of computers is continually increasing, while memory still remains a problem when one handles large arrays. More accurate numerical methods allow us to reduce the overall computation time by of magnitude. several orders The problem of finding the most efficient methods for the numerical solution of equations, under the assumption of fixed array size, is therefore of paramount importance. Advances in the applied sciences, such as aerodynamics, hydrodynamics, particle transport, and scattering, have increased the demands placed on numerical mathematics. New mathematical models, describing various physical phenomena in greater detail than ever before, create new demands on applied mathematics, and have acted as a major impetus to the development of computer science. For example, when investigating the stability of a fluid flowing around an object one needs to solve the low viscosity form of certain hydrodynamic equations describing the fl
出版日期Book 1983
关键词Algebra; Differentialgleichung; Differenzenschema; Richardson-Extrapolation; linear algebra; numerical me
版次1
doihttps://doi.org/10.1007/978-1-4613-8224-9
isbn_softcover978-1-4613-8226-3
isbn_ebook978-1-4613-8224-9Series ISSN 0172-4568 Series E-ISSN 2197-439X
issn_series 0172-4568
copyrightSpringer-Verlag New York Inc. 1983
The information of publication is updating

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发表于 2025-3-21 22:29:04 | 显示全部楼层
General Properties,ccurate 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
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First-Order Ordinary Differential Equations,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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The One-Dimensional Stationary Diffusion Equation,y of nuclear reactors, where the diffusion approximation of the transport equation is of great importance. In ecology the computation of the diffusion of industrial aerosols is of great importance. Important diffusion problems occur in physics, chemistry, geophysics, and other fields of science. Bec
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Book 1983before, create new demands on applied mathematics, and have acted as a major impetus to the development of computer science. For example, when investigating the stability of a fluid flowing around an object one needs to solve the low viscosity form of certain hydrodynamic equations describing the fl
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发表于 2025-3-23 04:42:49 | 显示全部楼层
0172-4568 t provided the resources for computations which make use of methods with low accuracy. The computational speed of computers is continually increasing, while memory still remains a problem when one handles large arrays. More accurate numerical methods allow us to reduce the overall computation time b
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