How to establish the adjoint medel is discussed by using the Gateaux differential of function and the concepts of the adjoint operators in Hibert space. At the same time it is verified that selecting proper finite difference scheme can ensure discrete form remaining the same adjoint r...

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The numerical solution of incompressible viscous flow over an aerofoil is obtained by H-type grids and a special difference scheme.

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In the light of the complex, high-level and non-linear feature of the mathematical model which describe the transport of the coalbed methane, this paper study the fully-implicit solving method of the mathematical model in detail. Based on the complexity of the algebraic equations which are formed eventually, according to the alternating direction implicit difference pattern, this paper use the iterative method and the fully main element Gauss-Jordan eliminating method to solve equations, which is to use the iterative method to determine coefficient matrix and use the fully main element Gauss-Jordan method to solve th linear algebraic equation group, at the same time of studying the solving method of the mathematical model, according to the devising requirement of FORTRAN77 program structure, this paper draw up computer program and form the corresponding computer model, and verify the validity and reliability of the model in theory by operating the model.

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It is divided into 3 parts: the 1st part is the description of boundary value which is discreted by using 5 point differential format, the algebraic system is get.

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Basing on the nonatationary linear mild-slope equation developed by Hong Guangwen in 1995, a complete wave model is built considering the bottom friction, nonlinear dispersion relation, and allied reflection and diffraction of several islands. Integrating with corresponding physical and imaginary boundaries, it is solved through Alternating Direction Implicit difference method.

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And the numerical solutions of difference equation are regarded as the approximate solutions for the differential equation.

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In this chapter, the existence and uniqueness of the solution to the scheme, the convergence and stability to the scheme are proved by using discrete functional analysis theory, the apriority estimate method and the Brouwer fixed-point theory.

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Compressible ; multi-scales ; super compact symmetric finite difference scheme ; parallel algorithm ; block pipelined method

用分塊流水線方法設(shè)計(jì)了超緊致差分格式的并行算法美女黄色国产网站，進(jìn)行數(shù)值實(shí)驗(yàn)及并行性能分析。

We studied the transformation of Cassinian curves, treatment method of singularity, and equal-interval difference formula.

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Based on the conservation law, applying appropriate rezone methods for meshes we modify the 9-point method to reduce computation error due to poor regularity of the meshes and low precision due to the approximation to vertices values by an average of neighboring cell values. The nonlinear system obtained is a different system from the 9-point scheme.

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