Description
Conservative Finite-Difference Methods on General Grids
Symbolic & Numeric Computation Series
Author: Shashkov Mikhail
Language: EnglishSubjects for Conservative Finite-Difference Methods on General Grids:
Keywords
Finite Difference Schemes; Tensor Product Grids; Robin Boundary Condition; Finite Difference Analog; Newton Kantorovich Method; Smooth Grid; Dirichlet Boundary Problem; Gauss Seidel Method; Nodal Discretisation; Dirichlet Boundary Conditions; Implicit Finite Difference Scheme; Computer Algebra System; Support Operators Method; Non-uniform Grid; Truncation Error; Operator Div; Finite Difference Equations; Gas Dynamic Equation; Finite Difference Algorithms; Grid Functions; Heat Equation; Invariant Differential Operators; Frozen Coefficients; Curvilinear Orthogonal Coordinate System; Rayleigh Taylor Instability
· 15.6x23.4 cm · Paperback
Description
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This new book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all types of equations is done on the basis of the support-operators method (SOM). This method constructs the FD analogs of main invariant differential operators of first order such as the divergence, the gradient, and the curl. This book is unique because it is the first book not in Russian to present the support-operators ideas.
Conservative Finite-Difference Methods on General Grids is completely self-contained, presenting all the background material necessary for understanding. The book provides the tools needed by scientists and engineers to solve a wide range of practical engineering problems. An abundance of tables and graphs support and explain methods. The book details all algorithms needed for implementation. A 3.5" IBM compatible computer diskette with the main algorithms in FORTRAN accompanies text for easy use.
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