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RECORD NUMBER: 15 OF 41Main Title | Finite difference methods for ordinary and partial differential equations : steady-state and time-dependent problems / | ||||||||||||||||
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Author | LeVeque, Randall J., | ||||||||||||||||
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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Collation | xv, 341 p. : ill. ; 26 cm. | ||||||||||||||||
Notes | Includes bibliographical references (p. 329-335) and index. |
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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. |