Main Title |
Finite difference methods for ordinary and partial differential equations : steady-state and time-dependent problems / |
Author |
LeVeque, Randall J.,
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Publisher |
Society for Industrial and Applied Mathematics, |
Year Published |
2007 |
Stock Number |
60412 |
OCLC Number |
86110147 |
ISBN |
9780898716290; 0898716292 |
Subjects |
Finite differences ;
Differential equations ;
Differentialgleichung--(DE-588)4012249-9 ;
Differenzenverfahren--(DE-588)4134362-1 ;
Finite-Differenzen-Methode--(DE-588)4194626-1 ;
Gewèohnliche Differentialgleichung ;
Partielle Differentialgleichung
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Internet Access |
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Holdings |
Library |
Call Number |
Additional Info |
Location |
Last Modified |
Checkout Status |
EKDM |
QA431.L548 2007 |
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CEMM/EPD Library/Athens,GA |
11/26/2012 |
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Collation |
xv, 341 p. : ill. ; 26 cm. |
Notes |
Includes bibliographical references (p. 329-335) and index. |
Contents Notes |
Finite difference approximations -- Steady states and boundary value problems -- Elliptic equations -- Iterative methods for sparse linear systems -- The initial value problem for ordinary differential equations -- Zero-stability and convergence for initial value problems -- Absolute stability for ordinary differential equations -- Stiff ordinary differential equations -- Diffusion equations and parabolic problems -- Addiction equations and hyperbolic systems -- Mixed equations -- Appendixes: A. Measuring errors -- B. Polynomial interpolation and orthogonal polynomials -- C. Eigenvalues and inner-product norms -- D. Matrix powers and exponentials -- E. Partial differential equations. Introductory textbook from which students can approach more advance topics relating to finite difference methods. |