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Record Nr. |
UNINA9910460076103321 |
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Autore |
O'Neil Peter V. |
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Titolo |
Solutions manual for beginning partial differential equations / / Peter V. O'Neil |
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Pubbl/distr/stampa |
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Hoboken, New Jersey : , : Wiley, , 2014 |
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©2014 |
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ISBN |
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1-118-88058-7 |
1-118-62998-1 |
1-118-96967-7 |
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Edizione |
[Third edition.] |
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Descrizione fisica |
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1 online resource (199 p.) |
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Collana |
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Pure and Applied Mathematics : A Wiley Series of Texts, Monographs and Tracts |
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Disciplina |
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Soggetti |
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Differential equations |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di contenuto |
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Cover; Series; Title Page; Copyright; Preface; Chapter 1: First Ideas; 1.1 Two Partial Differential Equations; 1.2 Fourier Series; 1.3 Two Eigenvalue Problems; 1.4 A Proof of the Convergence Theorem; Chapter 2: Solutions of the Heat Equation; 2.1 Solutions on an Interval [0,L]; 2.2 A Nonhomogeneous Problem; Chapter 3: Solutions of the Wave Equation; 3.1 Solutions on Bounded Intervals; 3.2 The Cauchy Problem; 3.3 The Wave Equation in Higher Dimensions; Chapter 4: Dirichlet and Neumann Problems; 4.1 Laplace''s Equation and Harmonic Functions; 4.2 The Dirichlet Problem for a Rectangle |
4.3 The Dirichlet Problem for a Disk4.4 Properties of Harmonic Functions; 4.5 The Neumann Problem; 4.6 Poisson''s Equation; 4.7 An Existence Theorem for the Dirichlet Problem; Chapter 5: Fourier Integral Methods of Solution; 5.1 The Fourier Integral of a Function; 5.2 The Heat Equation on the Real Line; 5.3 The Debate Over the Age of the Earth; 5.4 Burgers' Equation; 5.5 The Cauchy Problem for the Wave Equation; 5.6 Laplace''s Equation on Unbounded Domains; Chapter 6: Solutions Using Eigenfunction Expansions; 6.1 A Theory of Eigenfunction Expansions; 6.2 Bessel Functions |
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6.3 Applications of Bessel Functions6.4 Legendre Polynomials and Applications; Chapter 7: Integral Transform Methods of Solution; 7.1 The Fourier Transform; 7.2 Heat and Wave Equations; 7.3 The Telegraph Equation; 7.4 The Laplace Transform; Chapter 8: First-Order Equations; 8.1 Linear First-Order Equations; 8.2 The Significance of Characteristics; 8.3 The Quasi-Linear Equation; Series List; End User License Agreement |
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Sommario/riassunto |
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As the Solutions Manual, this book is meant to accompany the main title, Beginning of Partial Differential Equations, Third Edition. The Third Edition features a challenging, yet accessible, introduction to partial differential equations, and provides a solid introduction to partial differential equations, particularly methods of solution based on characteristics, separation of variables, as well as Fourier series, integrals, and transforms. Thoroughly updated with novel applications such as Poe's pendulum and Kepler's problem in astronomy, the book begins with first-order linear and quasi-li |
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2. |
Record Nr. |
UNINA9910973896503321 |
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Autore |
Unalmis Deren |
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Titolo |
On the Sources and Consequences of Oil Price Shocks : : The Role of Storage / / Deren Unalmis, Ibrahim Unalmis, Filiz Unsal |
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Pubbl/distr/stampa |
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Washington, D.C. : , : International Monetary Fund, , 2012 |
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ISBN |
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9781616357023 |
1616357029 |
9781475598438 |
1475598432 |
9781283947794 |
128394779X |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (42 p.) |
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Collana |
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IMF Working Papers |
IMF working paper ; ; WP/12/270 |
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Altri autori (Persone) |
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UnalmisIbrahim |
UnsalFiliz |
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Disciplina |
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Soggetti |
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Petroleum products - Prices - Econometric models |
Petroleum products - Storage |
Investments: Energy |
Inflation |
Macroeconomics |
Economic Theory |
General Aggregative Models: Keynes |
Keynesian |
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Post-Keynesian |
Energy and the Macroeconomy |
Energy: Demand and Supply |
Prices |
Energy: General |
Commodity Markets |
Price Level |
Deflation |
Agriculture: Aggregate Supply and Demand Analysis |
Investment & securities |
Economic theory & philosophy |
Oil prices |
Oil |
Commodity price fluctuations |
Supply shocks |
Commodities |
Economic theory |
Petroleum industry and trade |
Supply and demand |
United States |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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At head of title: Research Department -- verso of t.p. |
"November 2012"-- verso of t.p. |
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Nota di bibliografia |
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Includes bibliographical references (p. 22-25). |
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Nota di contenuto |
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Cover; Contents; 1. Introduction; 2. The Model; 2.1 Households; 2.2 Firms and Production; 2.3 Monetary and Fiscal Policy; 2.4 Goods Market Equilibrium; 2.5 Storage and Oil Market Equilibrium; 3. Estimation; 3.1 Data; 3.2 Calibrated Parameters; 3.3 Prior Distributions and Estimation Results; 4. Conclusion; References; Appendix; Tables; 1. Calibrated parameters; 2. Prior distributions and posterior estimates (sample period: 1982Q1-2007Q4); 3. Variance decomposition (sample period: 1982Q1-2007Q4); 4. Variance decomposition (sample period: 2000Q1-2007Q4); Figures |
1. Impulse responses to a one standard deviation positive TFP shock2. Impulse responses to a one standard deviation positive labor productivity shock; 3. Impulse responses to a one standard deviation negative oil supply shock; 4. Impulse responses to a one standard deviation storage demand shock; 5. Impulse responses to a one standard deviation positive TFP shock with and without storage; 6. Impulse responses to a one standard deviation positive labor productivity shock with and without storage; 7. Impulse responses to a one standard deviation negative oil supplywith and without storage |
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Sommario/riassunto |
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Building on recent work on the role of speculation and inventories in oil markets, we embed a competitive oil storage model within a DSGE model of the U.S. economy. This enables us to formally analyze the impact of a (speculative) storage demand shock and to assess how the effects of various demand and supply shocks change in the presence of |
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oil storage facility. We find that business-cycle driven oil demand shocks are the most important drivers of U.S. oil price fluctuations during 1982-2007. Disregarding the storage facility in the model causes a considerable upward bias in the estimated role of oil supply shocks in driving oil price fluctuations. Our results also confirm that a change in the composition of shocks helps explain the resilience of the macroeconomic environment to the oil price surge after 2003. Finally, speculative storage is shown to have a mitigating or amplifying role depending on the nature of the shock. |
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