bao ve laptop an toan pdf

... motion possesses the position vectors r1 and r2 relative to the origins of two inertial frames S1 and S2, respectively, and if further S1 and S2 have a relative velocity V, then it follows from ... deepest appreciation and love goes to our families, Florence, Ellen, Dan, and Jane (Rothbart), and Miriam, Sianna, Hunter, and Elliott (Brown) Their encouragement, help, suggestions, and patience are ... the seven chapters included from the Second Edition of the Mechanical Design and Systems Handbook, and covers the basic laws of dynamics and the motion of rigid bodies so important in the analysis...

Ngày tải lên: 06/05/2015, 07:48

... book nor any part maybe reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying,microfilming, and recording, or by any information storage and retrieval ... Hoffman Preface The secondedition of this bookcontains several majorimprovements the first edition over Some these improvements of involve format and presentation philosophy, and someof the changes ... indispensable in developing and understanding manynumerical algorithms, are presented and discussed 0.1 OBJECTIVE AND APPROACH The objective of this bookis to introduce the engineer and scientist...

Ngày tải lên: 02/04/2014, 15:44

... New Zealand and as practical support The weekly workshop in numerical analysis at The University of Auckland has been an important activity in the lives of many students, colleagues and myself ... in Auckland and overseas, have read and worked through drafts of the book at various stages of its development Their comments have been invaluable to me and I express my heartfelt thanks Amongst ... information and supporting material see http://www.math.auckland.ac.nz/~butcher/ODE-book-2008 Reacknowledgements I have many people to thank and to rethank in my efforts to produce an improved edition...

Ngày tải lên: 13/02/2014, 20:20

... Gorman (Chartered Accountant, Dublin) Bernard Hanzon (University College Cork) Frank Monks (Nexgen Capital, Dublin) Frank Oertel (University College Cork) Shane Whelan (University College Dublin) ... (University of Technology Sydney, Australia) Wil Schilders (Philips, Eindhoven, Netherlands) Hans Schumacher (Tilburg University, Netherlands) Ruediger Seydel (University of Cologne, Germany) ... reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information...

Ngày tải lên: 07/03/2014, 15:20

... Gorman (Chartered Accountant, Dublin) Bernard Hanzon (University College Cork) Frank Monks (Nexgen Capital, Dublin) Frank Oertel (University College Cork) Shane Whelan (University College Dublin) ... (University of Technology Sydney, Australia) Wil Schilders (Philips, Eindhoven, Netherlands) Hans Schumacher (Tilburg University, Netherlands) Ruediger Seydel (University of Cologne, Germany) ... reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information...

Ngày tải lên: 18/03/2014, 00:20

... one does not have to be a numerical analyst to interpret the results I have used the BASIC, FORTRAN, Pascal and C versions of PARANOIA, and have seen reports of Modula-2 and ADA®† versions In the ... manipulations of matrices and vectors More advanced works detail the theorems and algorithms for particular situations An important collection of well-referenced material is Golub and Van Loan ... vector B, and both form an angle of approximately 6° with vector A However, while the angle between the vector sums (A + B) and (A + C) is only about 0.07°, the angle between (B – A) and (C –...

Ngày tải lên: 31/03/2014, 15:02

... American Options, Chuan-Hsiang Han, Jean-Pierre Fouque Downside and Drawdown Risk Characteristics of Optimal Portfolios in Continuous Time, Dennis Yang, Minjie Yu, Qiang Zhang Investment Performance ... NEW YORK OXFORD PARIS SAN DIEGO SAN FRANCISCO SINGAPORE SYDNEY TOKYO North-Holland is an imprint of Elsevier North-Holland is an imprint of Elsevier The Boulevard, Langford Lane, Kidlington, Oxford ... Meyer-Brandis Optimal Quantization for Finance: From Random Vectors to Stochastic Processes, Gilles Pag` s, Jacques Printems e Stochastic Clock and Financial Markets, H´ lyette Geman e Analytical...

Ngày tải lên: 02/04/2014, 14:54

... New Zealand and as practical support The weekly workshop in numerical analysis at The University of Auckland has been an important activity in the lives of many students, colleagues and myself ... in Auckland and overseas, have read and worked through drafts of the book at various stages of its development Their comments have been invaluable to me and I express my heartfelt thanks Amongst ... information and supporting material see http://www.math.auckland.ac.nz/~butcher/ODE-book-2008 Reacknowledgements I have many people to thank and to rethank in my efforts to produce an improved edition...

Ngày tải lên: 27/06/2014, 05:20

... New Zealand and as practical support The weekly workshop in numerical analysis at The University of Auckland has been an important activity in the lives of many students, colleagues and myself ... in Auckland and overseas, have read and worked through drafts of the book at various stages of its development Their comments have been invaluable to me and I express my heartfelt thanks Amongst ... information and supporting material see http://www.math.auckland.ac.nz/~butcher/ODE-book-2008 Reacknowledgements I have many people to thank and to rethank in my efforts to produce an improved edition...

Ngày tải lên: 27/06/2014, 08:20

... New Zealand and as practical support The weekly workshop in numerical analysis at The University of Auckland has been an important activity in the lives of many students, colleagues and myself ... in Auckland and overseas, have read and worked through drafts of the book at various stages of its development Their comments have been invaluable to me and I express my heartfelt thanks Amongst ... information and supporting material see http://www.math.auckland.ac.nz/~butcher/ODE-book-2008 Reacknowledgements I have many people to thank and to rethank in my efforts to produce an improved edition...

Ngày tải lên: 27/06/2014, 18:20

... Existence and uniqueness ofu: Since b(v, v) is strictly convex, j is convex, and L is linear, we have J strictly convex; J is l.s.c because i>(-, •) and L are continuous and j is l.s.c Since; is convex, ... methods An elegant way to overcome this difficulty has been introduced by Hestenes [1] and Powell [1]: the so-called augmented Lagrangian methods in which the combined use of penalty and Lagrange ... (ii) J is strictly convex Since L is linear, to prove the strict convexity of J it suffices to prove that the functional v -> a(v, v) is strictly convex Let < t < and u,veV with u=£v; then

Ngày tải lên: 27/06/2014, 18:20

... New Zealand and as practical support The weekly workshop in numerical analysis at The University of Auckland has been an important activity in the lives of many students, colleagues and myself ... in Auckland and overseas, have read and worked through drafts of the book at various stages of its development Their comments have been invaluable to me and I express my heartfelt thanks Amongst ... information and supporting material see http://www.math.auckland.ac.nz/~butcher/ODE-book-2008 Reacknowledgements I have many people to thank and to rethank in my efforts to produce an improved edition...

Ngày tải lên: 13/08/2014, 05:21

... elementary properties of arithmetic and geometric means Furthermore, (ii) can be proved from the identity an − bn = (an 1 − bn−1 )2 √ √ an 1 + bn−1 The common limit of the an and bn sequences is known ... converging to 2, whereas (134b) seems to have no hope of ever doing so Of course the starting value, y0 , is the distinguishing feature, and we can perhaps investigate which values converge and ... constants, but many have more manageable one-sided Lipschitz constants, and this can be an aid in obtaining realistic growth estimates for the effect of perturbations We confine ourselves to problems...

Ngày tải lên: 13/08/2014, 05:21

... equations This is done by writing y1 and y2 for the space coordinates Y1 and Y2 , and writing y3 and y4 for the velocity coordinates, given as the first derivatives of Y1 and Y2 With this reformulation, ... multiply by the product − h tan(xn−1 ) − h tan(xn−2 ) · · · − h tan(xk ) We have the approximation cos(x + h) = cos(h) − sin(h) tan(x) ≈ − h tan(x), cos(x) so that (214b) can be written approximately ... that a numerical method converges to the true solution over a bounded interval, it is interesting to know how errors behave over an unbounded interval Obtaining quantitative results is difficult, because...

Ngày tải lên: 13/08/2014, 05:21

... given the name ‘preconsistency’ Another interpretation of preconsistency can be found in terms of the covariance of the numerical method with respect to a translation By a translation we mean ... justified However, for large stepsizes, there is an advantage in PECE methods because many types of unstable behaviour exhibit themselves more severely for PEC methods For example, the iterative starting ... (235h) That c4 = can be shown, by solving for b2 , b3 and b4 , from equations (235b), (235c) and (235e); by then solving for a32 , a42 and a43 from (235d), (235f) and (235g); and then by substituting...

Ngày tải lên: 13/08/2014, 05:21

... on {g, h, i}, and the group S2 generated by the single permutation, in which b and c are interchanged, d and g are interchanged, e and h are interchanged, and f and i are interchanged Thus the ... in y and getting past it NUMERICAL DIFFERENTIAL EQUATION METHODS 135 The results will be sensitive to the initial stepsize and, to guarantee we have represented typical and representative behaviour, ... tolerance For both the error calculations and the rejected step totals, the results indicate mean values over this range of initial h with shading showing the mean values plus or minus the standard...

Ngày tải lên: 13/08/2014, 05:21

... with their recursive definitions in the form (314a) and the corresponding differential equations Note that the construction given here is given as an exercise in Hairer, Nørsett and Wanner (1993) ... Since θ can take any value and since qi is not constant, it is not possible that ψ is never zero RUNGE–KUTTA METHODS 318 165 Local truncation error The conditions for order give guarantees that ... (320c) (320d) To solve these equations in the most straightforward manner, it is convenient to treat c2 and c3 as free parameters and to carry out three steps First, solve for b2 and b3 from the...

Ngày tải lên: 13/08/2014, 05:21

... six because the evaluation of the seventh and last stage derivative can be retained to serve as the first stage derivative for the subsequent step An alternative choice of free parameters leads ... explicit methods is no longer available and needs to be replaced by an iterative computation However, there are several very good reasons, both theoretical and practical, for moving these methods ... this quantity to Φ(t) gives the result Φ(t) + B r(t) = Φ(t) = , γ(t) γ(t) which is equivalent to (333d) To prove the converse, we first note that, because B = 0, the previous argument can be reversed...

Ngày tải lên: 13/08/2014, 05:21

... even more brief, but will serve as an introduction to an alternative approach to achieve similar results In addition to Wanner, Hairer and Nørsett (1978), the reader is referred to Iserles and ... cannot vanish now follows by observing that Ds (z) = ζ1 ζ2 ζ3 · · · ζs Hence, D = Ds does not have a zero in the left half-plane Alternative proofs of this and related results have been given ... problem for AN- stability is an instance of the test problem for BN-stability This means that we can complete the chain of equivalences interconnecting AN- stability, BN-stability and algebraic...

Ngày tải lên: 13/08/2014, 05:21

... A-stable, and the other minor considerations are all satisfied Convenience might suggest an alternative value λ = RUNGE–KUTTA METHODS 365 273 Effective order and DESIRE methods An alternative way ... continued in the table and these are the only possibilities that exist (Wanner, Hairer and Nørsett, 1978) This means that there are no L-stable methods – and in fact there is not even an A-stable method ... b , c) and (A, b , c), respectively We have written s and s for the numbers of stages in the first and second method, respectively By writing y0 for the initial value for the first method and y1...

Ngày tải lên: 13/08/2014, 05:21