000 | 02113nam a22001697a 4500 | ||
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_c1416 _d1416 |
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005 | 20220316145239.0 | ||
008 | 220316b ||||| |||| 00| 0 eng d | ||
020 | _a9780128498941 | ||
082 |
_a515.353 _bMAZ |
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100 | _a Mazumder Sandip | ||
245 |
_aNumerical methods for partial differential equations _bfinite difference and finite volume methods _cSandip Mazumder |
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260 |
_aLondon : _bAcademic Press, [2016] _c ©2016 |
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300 | _a461 pages | ||
505 | _t Introduction to numerical methods for solving differential equations -- The finite difference method -- Solution to a system of linear algebraic equations -- Stability and convergence of iterative solvers -- Treatment of the time derivative (parabolic and hyperbolic PDEs) -- The finite volume method (FVM) -- Unstructured finite volume method -- Miscellaneous topics. | ||
520 | _a Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow. For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful. The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational mechanics, computational fluid dynamics, or computational electromagnetics. The notations, language, and technical jargon used in the book can be easily understood by scientists and engineers who may not have had graduate-level applied mathematics or computer science courses | ||
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_2ddc _cBK |