... convergence of Runge–Kutta methods and also considers in detail the design of efficient explicit methods for non-stiff xviii NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS A reading of this ... 262 363 Singly implicit methods 266 364 Generalizations of singly implicit methods 271 365 Effective order and DESIRE methods 273 16 NUMERICAL METHODS FOR ORDINARY DIFF...
Ngày tải lên: 27/06/2014, 08:20
... y 4 +2y 3 (−y 1 y 5 )+2y 4 (−y 2 y 5 +1), which simplifies to dy 5 dx =3y 4 . (103q) Numerical Methods for Ordinary Differential Equations Numerical Methods for Ordinary Differential Equations, Second Edition. J. C. Butcher © 2008 ... implicit methods 271 365 Effective order and DESIRE methods 273 6 NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS A second t...
Ngày tải lên: 13/02/2014, 20:20
Numerical Methods for Ordinary Differential Equations pdf
... function f which Numerical Methods for Ordinary Differential Equations, Second Edition. J. C. Butcher © 2008 John Wiley & Sons, Ltd. ISBN: 978-0-470-72335-7 xvi NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL ... right-derivative is given by 6 NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS A second type of transformation is based on a two-dimensional orthogon...
Ngày tải lên: 27/06/2014, 05:20
Numerical Methods for Ordinary Differential Equations Numerical Methods pptx
... C 2 functions on [0, 1] for which u(0) = u(1) = 0. The eigenfunctions for the continuous problem are of the form sin(kπx), for Numerical Methods for Ordinary Differential Equations Second Edition J. ... y 4 +2y 3 (−y 1 y 5 )+2y 4 (−y 2 y 5 +1), which simplifies to dy 5 dx =3y 4 . (103q) xiv NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS problems. For implicit...
Ngày tải lên: 27/06/2014, 18:20
Numerical Methods for Finance pdf
... used only for identification and explanation without intent to infringe. Library of Congress Cataloging-in-Publication Data Miller, John (John James Henry), 1937- Numerical methods for finance ... of adapting the Monte Carlo method for American and Bermudan option pricing; see for instance [6, 7, 16, 20,23, 26, 28, 30, 31].A survey of Monte Carlomethods for American option pricing...
Ngày tải lên: 07/03/2014, 15:20
Numerical Methods for Finance ppt
... Therefore, writing 11 for the vector all of whose entries are equal to 1, we have M R v ≤ M R v ∞ 11 = (1 −r δt)v ∞ 11 for any vector v. It follows that M R v ∞ (1 − r δt) ≤v ∞ for all ... a space-discretized version of the actual pricing function v(x, t). The usual time stepping methods for linear ordinary differential equations (ODEs) can all be used, but the complemen...
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compact numerical methods for computers linear algebra and function minimisation 2ed - adam hilger
... are not to lose any information this quantity must be non-zero. 72 6 Compact numerical methods for computers within the arithmetic of the system. Two programs in FORTRAN for determining the machine ... solutions to simultaneous linear equations by constructing the triangular form Rx = f from the original equations. Note that each of the equations (2.2), that is (6.4) for i...
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hilbert space methods for partial differential equations - r. showalter
Ngày tải lên: 31/03/2014, 15:56
numerical methods for engineers and scientists
... Convergence Single-Point Methods Extrapolation Methods Multipoint Methods Summary of Methods and Results Nonlinear Implicit Finite Difference Equations Higher-Order Ordinary Differential Equations Systems ... method for solving boundary-value ordinary differential equations, presented in Section 8.3, requires the solution of a nonlinear equation. Implicit methods for so...
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