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標(biāo)題: Titlebook: Numerical Methods for Ordinary Differential Equations; Initial Value Proble David F. Griffiths,Desmond J. Higham Textbook 2010 Springer-Ver [打印本頁]

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作者: 周年紀(jì)念日    時(shí)間: 2025-3-21 23:34

作者: 言行自由    時(shí)間: 2025-3-22 01:48
Adaptive Step Size Selection, is proportional to 1/. and the accuracy of the results is proportional to .., for a method of order .. Thus, halving . is expected to double. the amount of computational effort while reducing the error by a factor of 2. (more than an extra digit of accuracy if . > 3).
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Modified Equations,ods. This attention is now shifted to the numerical method (primarily LMMs) and we ask whether the numerically computed values might be closer to the solution of a modified differential equation than they are to the solution of the original differential equation. At first sight this may appear to in
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,Geometric Integration Part II—Hamiltonian Dynamics,s. As in the previous chapter our emphasis is on.– showing that methods must be carefully chosen if they are to possess the correct geometric property, and.– using the idea of modified equations to explain the qualitative behaviour of numerical methods.
作者: 傻    時(shí)間: 2025-3-22 17:50
Stochastic Differential Equations,imentally, in which case they are subject to measurement errors. Or the simulation of an epidemic might require an educated guess for the initial number of infected individuals. More fundamentally, there may be microscopic effects that (a) we are not able or willing to account for directly, but (b)
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1615-2085 in a first course, but also highlights new and emerging the.Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book fo
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,Linear Multistep Methods—I: Construction and Consistency,l-world applications, which generally involve (large) systems of ODEs whose differentiation is impractical unless automated tools are used [23]. We look, therefore, for alternatives that do not require the use of second and higher derivatives of the solution.
作者: labyrinth    時(shí)間: 2025-3-23 19:02
Modified Equations,solution of a modified differential equation than they are to the solution of the original differential equation. At first sight this may appear to introduce an unnecessary level of complication, but we will see in this chapter (as well as those that follow on geometric integration) that . can provide important insights about our computations.
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https://doi.org/10.1007/978-0-85729-148-6Convergence; Linear Multistep; Mathematica; Ordinary Differential Equations; Runge-Kutta; Stability; calcu
作者: 寬容    時(shí)間: 2025-3-24 06:37
David F. Griffiths,Desmond J. HighamFocuses on the analysis of numerical methods without losing sight of the practical nature of the subject.Covers topics traditionally treated in a first course, but also highlights new and emerging the
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Numerical Methods for Ordinary Differential Equations978-0-85729-148-6Series ISSN 1615-2085 Series E-ISSN 2197-4144
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,Linear Multistep Methods—IV: Systems of ODEs,In this chapter we describe the use of LMMs to solve systems of ODEs and show how the notion of absolute stability can be generalized to such problems. We begin with an example.
作者: 課程    時(shí)間: 2025-3-25 23:08
,Linear Multistep Methods—V: Solving Implicit Methods,The discussion of absolute stability in previous chapters shows that it can be advantageous to use an implicit LMM—usually when the step size in an explicit method has to be chosen on grounds of stability rather than accuracy. One then has to compute the numerical solution at each step by solving a nonlinear system of algebraic equations.
作者: 弓箭    時(shí)間: 2025-3-26 01:32

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,Runge-Kutta Methods–II Absolute Stability,The notion of absolute stability developed in Chapter 6 for LMMs is equally relevant to RK methods. Applying an RK method to the linear ODE .′(.) = λ.(.) with ?(λ) < 0, absolute stability requires that .. → 0 as . → ∞.
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Numerical Methods for Ordinary Differential EquationsInitial Value Proble
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作者: 推延    時(shí)間: 2025-3-27 08:54
1615-2085 quations..o Geometric integration..o Stochastic differential equations..The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in app978-0-85729-147-9978-0-85729-148-6Series ISSN 1615-2085 Series E-ISSN 2197-4144
作者: 植物群    時(shí)間: 2025-3-27 10:51

作者: intrude    時(shí)間: 2025-3-27 16:34
Eisenwerkstoffe,Reines Eisen ist sehr weich und verformbar. Abgesehen von den hohen Herstellkosten wird es wegen seiner geringen Festigkeit nicht als Konstruktionswerkstoff verwendet. Die gro?e magnetische . und niedrige . machen es aber zum wichtigen Werkstoff in der Elektrotechnik.
作者: 哄騙    時(shí)間: 2025-3-27 21:34
Grundlagen der Metall- und Legierungskunde,Die in diesem Kapitel erl?uterten Begriffe werden in den nachfolgenden Kapiteln immer wieder angewendet. Die Kenntnis dieser Begriffe ist unumg?nglich für das Verst?ndnis der Vorg?nge in den Werkstoffen und damit letztlich für die Beurteilung der M?glichkeiten, durch technische Prozesse die Werkstoffeigenschaften zu beeinflussen.
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SpringerBriefs in Food, Health, and Nutritionhttp://image.papertrans.cn/n/image/660686.jpg
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作者: CHART    時(shí)間: 2025-3-29 00:21
Substrate Noise Coupling in RFICshe problem is to determine shipment sizes from each warehouse to each retailer at minimium costs. The cost components are the expected overage and underage costs at the end of the period, as well as the transportation costs corresponding to the shipments. The transportation costs have a fixed-charge
作者: 猛擊    時(shí)間: 2025-3-29 05:33
nefits from the liberalization of border-crossing regimes to transport and trade various consumer goods. Engaging in “secondary economy” activities contradicted both the common expectations of student conduct and the idealist ethics, promoted by the official discourse of the communist regime, of per
作者: 駕駛    時(shí)間: 2025-3-29 10:26
isation scenarios. Information processing under uncertainty is not a problem which must draw upon mathematics alone for solutions — an interdisciplinary approach which reviews the philosophies behind the mathematical paradigms traditionally applied, and borrows techniques from Physics, Computing and
作者: debble    時(shí)間: 2025-3-29 15:17
Paul Hoyningen-Huene by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka‘s general approach, have appeared, the validity of some of them extending beyond the complex analytic case. The proof has now been so streamlined that, although it was seen 50 years ago a
作者: 切掉    時(shí)間: 2025-3-29 19:30
Walter Bartlr the next decade in growth areas like renewable energy, e-mobility, or industry. A key approach for reducing the system size is increasing the switching frequency. While this is very effective in shrinking down the size of passives, higher dynamic losses lead to more cooling effort. In recent years
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作者: 平躺    時(shí)間: 2025-3-30 11:58
Temporal Statistic Based Video Watermarking Scheme Robust against Geometric Attacks and Frame Droppiially for video watermarking. This paper presents a multi-bit video watermarking scheme resilient to geometric attacks and frame dropping by utilizing the geometric invariant sequence generated from the average dc energy of the input video and the temporal statistic described by its histogram. First
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Automobile Driving Behavior Recognition Using Boosting Sequential Labeling Method for Adaptive Drivean driving behavior. In such a study, we need to deal with a large amount of stored data, which can be managed by splitting the analysis according to the driving states described by driver maneuvers and driving environment. As the first step of our long-term project, the driving behavior learning is
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Assessing Dynamic Exposure to Air Pollution, the other hand, we say that two relations . and .′ on the same set . are . when for each element . of ., the restrictions of . and .′ to . {.} are isomorphic. In this paper, we show that if . and .′ are two hypomorphic relations on a set of cardinality ≥ 12 and if . is decomposable then .′ is also decomposable.
作者: DOSE    時(shí)間: 2025-3-31 06:43
Die Bedeutung bürgerschaftlichen Engagements für die Integration in Kommunen Kernaufgaben der Gemeinden, St?dte und Kreise bei der kommunalen Integration wird der jeweilige Beitrag bürgerschaftlichen Engagements dargestellt. Abschlie?end wird diskutiert, welche (kommunalen) Rahmenbedingungen Engagierte bei der F?rderung kommunaler Integration ben?tigen.
作者: vector    時(shí)間: 2025-3-31 09:34
Protein Synthesis ,,nt accounts of protein synthesis.. The second objective can be achieved by making a crude extract, from a suitable biological source, which contains a complete mixture of all the components necessary for protein synthesis. This extract is then used for . translation of purified fractions containing mRNA (Figure 7.1).
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Juan Salamanca,Alexandro Baldassine Entfernung und Ersatz des Funktionsausfalles durch Injektion von bestimmten Extrakten oder Verfütterung der ganzen Drüsen. Der Angriffspunkt der Inkrete für die Regelung des Blutbildes ist die Bildungsst?tte der Blutk?rperchen: das lymphatische System, Milz und Lymphknoten, für die Lymphozyten, da
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Arie S. Issareal to readers interested in performance studies, memory studies, gender studies, Vietnamese studies, and oral history..978-3-030-08821-7978-3-319-73615-0Series ISSN 2634-5870 Series E-ISSN 2634-5889
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Contributors to the Understanding of Hypermobility and Ehlers-Danlos Syndrome in the Modern Era,lity is presented in this chapter. The author, PB was acquainted with most of them and they were regarded as personal friends. Joint hypermobility or articular hyperlaxity is conventually defined by the Beighton score. This index is commonly used and perhaps the most reliable professional tool for e
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