Prince and the Parade and Sign O' The Times Era Studio Sessions

Prince and the Parade and Sign O' The Times Era Studio Sessions PDF Author: Duane Tudahl
Publisher: Rowman & Littlefield
ISBN: 1538144522
Category : Music
Languages : en
Pages : 724

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Book Description
"[W]ill command the rapt attention of casual fans and scholars alike." Booklist, Starred Review From Prince's superstardom to studio seclusion, this second book in the award-winning Prince Studio Sessions series spotlights how Prince, the biggest rock star on the planet at the time, risked everything to create some of the most introspective music of his four-decade career. Duane Tudahl takes us on an emotional and intimate journey of love, loss, rivalry, and renewal revealed through unprecedented access to dozens of musicians, singers, studio engineers, and others who worked with him and knew him best—with never-before-published memories from the Revolution, the Time, the Family, and Apollonia 6. Also included is a heartfelt foreword by musical legend Elton John about his time and friendship with Prince.

Prince and the Parade and Sign O' The Times Era Studio Sessions

Prince and the Parade and Sign O' The Times Era Studio Sessions PDF Author: Duane Tudahl
Publisher: Rowman & Littlefield
ISBN: 1538144522
Category : Music
Languages : en
Pages : 724

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Book Description
"[W]ill command the rapt attention of casual fans and scholars alike." Booklist, Starred Review From Prince's superstardom to studio seclusion, this second book in the award-winning Prince Studio Sessions series spotlights how Prince, the biggest rock star on the planet at the time, risked everything to create some of the most introspective music of his four-decade career. Duane Tudahl takes us on an emotional and intimate journey of love, loss, rivalry, and renewal revealed through unprecedented access to dozens of musicians, singers, studio engineers, and others who worked with him and knew him best—with never-before-published memories from the Revolution, the Time, the Family, and Apollonia 6. Also included is a heartfelt foreword by musical legend Elton John about his time and friendship with Prince.

High Order Difference Methods for Time Dependent PDE

High Order Difference Methods for Time Dependent PDE PDF Author: Bertil Gustafsson
Publisher: Springer Science & Business Media
ISBN: 3540749934
Category : Mathematics
Languages : en
Pages : 343

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Book Description
This book covers high order finite difference methods for time dependent PDE. It gives an overview of the basic theory and construction principles by using model examples. The book also contains a general presentation of the techniques and results for well-posedness and stability, with inclusion of the three fundamental methods of analysis both for PDE in its original and discretized form: the Fourier transform, the eneregy method and the Laplace transform.

Time Delay ODE/PDE Models

Time Delay ODE/PDE Models PDF Author: W.E. Schiesser
Publisher: CRC Press
ISBN: 1000763617
Category : Mathematics
Languages : en
Pages : 251

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Book Description
Time delayed (lagged) variables are an inherent feature of biological/physiological systems. For example, infection from a disease may at first be asymptomatic, and only after a delay is the infection apparent so that treatment can begin.Thus, to adequately describe physiological systems, time delays are frequently required and must be included in the equations of mathematical models. The intent of this book is to present a methodology for the formulation and computer implementation of mathematical models based on time delay ordinary differential equations (DODEs) and partial differential equations (DPDEs). The DODE/DPDE methodology is presented through a series of example applications, particularly in biomedical science and engineering (BMSE). The computer-based implementation of the example models is explained with routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers. The DPDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. The example applications can first be executed to confirm the reported solutions, then extended by variation of the parameters and the equation terms, and even the forumulation and use of alternative DODE/DPDE models. • Introduces time delay ordinary and partial differential equations (DODE/DPDEs) and their numerical computer-based integration (solution) • Illustrates the computer implementation of DODE/DPDE models with coding (programming) in R, a quality, open-source scientific programming system readily available from the Internet • Applies DODE/DPDE models to biological/physiological systems through a series of examples • Provides the R routines for all of the illustrative applications through a download link • Facilitates the use of the models with reasonable time and effort on modest computers

Time-discrete Method Of Lines For Options And Bonds, The: A Pde Approach

Time-discrete Method Of Lines For Options And Bonds, The: A Pde Approach PDF Author: Gunter H Meyer
Publisher: World Scientific
ISBN: 9814619698
Category : Business & Economics
Languages : en
Pages : 286

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Book Description
Few financial mathematical books have discussed mathematically acceptable boundary conditions for the degenerate diffusion equations in finance. In The Time-Discrete Method of Lines for Options and Bonds, Gunter H Meyer examines PDE models for financial derivatives and shows where the Fichera theory requires the pricing equation at degenerate boundary points, and what modifications of it lead to acceptable tangential boundary conditions at non-degenerate points on computational boundaries when no financial data are available.Extensive numerical simulations are carried out with the method of lines to examine the influence of the finite computational domain and of the chosen boundary conditions on option and bond prices in one and two dimensions, reflecting multiple assets, stochastic volatility, jump diffusion and uncertain parameters. Special emphasis is given to early exercise boundaries, prices and their derivatives near expiration. Detailed graphs and tables are included which may serve as benchmark data for solutions found with competing numerical methods.

Finite Difference Methods for Ordinary and Partial Differential Equations

Finite Difference Methods for Ordinary and Partial Differential Equations PDF Author: Randall J. LeVeque
Publisher: SIAM
ISBN: 9780898717839
Category : Mathematics
Languages : en
Pages : 356

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Book Description
This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

Numerical Time-Dependent Partial Differential Equations for Scientists and Engineers

Numerical Time-Dependent Partial Differential Equations for Scientists and Engineers PDF Author: Moysey Brio
Publisher: Academic Press
ISBN: 0080917046
Category : Mathematics
Languages : en
Pages : 306

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Book Description
It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly influenced by the authors research in in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development. The material is based on a year-long graduate course taught at the University of Arizona since 1989. The book covers the first two-semesters of a three semester series. The second semester is based on a semester-long project, while the third semester requirement consists of a particular methods course in specific disciplines like computational fluid dynamics, finite element method in mechanical engineering, computational physics, biology, chemistry, photonics, etc.The first three chapters focus on basic properties of partial differential equations, including analysis of the dispersion relation, symmetries, particular solutions and instabilities of the PDEs; methods of discretization and convergence theory for initial value problems. The goal is to progress from observations of simple numerical artifacts like diffusion, damping, dispersion, and anisotropies to their analysis and management technique, as it is not always possible to completely eliminate them.In the second part of the book we cover topics for which there are only sporadic theoretical results, while they are an integral part and often the most important part for successful numerical simulation. We adopt a more heuristic and practical approach using numerical methods of investigation and validation. The aim is teach students subtle key issues in order to separate physics from numerics. The following topics are addressed: Implementation of transparent and absorbing boundary conditions; Practical stability analysis in the presence of the boundaries and interfaces; Treatment of problems with different temporal/spatial scales either explicit or implicit; preservation of symmetries and additional constraints; physical regularization of singularities; resolution enhancement using adaptive mesh refinement and moving meshes. - Self contained presentation of key issues in successful numerical simulation - Accessible to scientists and engineers with diverse background - Provides analysis of the dispersion relation, symmetries, particular solutions and instabilities of the partial differential equations

Real-Time PDE-Constrained Optimization

Real-Time PDE-Constrained Optimization PDF Author: Lorenz T. Biegler
Publisher: SIAM
ISBN: 0898716217
Category : Mathematics
Languages : en
Pages : 322

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Book Description
“…a timely contribution to a field of growing importance. This carefully edited book presents a rich collection of chapters ranging from mathematical methodology to emerging applications. I recommend it to students as a rigorous and comprehensive presentation of simulation-based optimization and to researchers as an overview of recent advances and challenges in the field.” — Jorge Nocedal, Professor, Northwestern University.Many engineering and scientific problems in design, control, and parameter estimation can be formulated as optimization problems that are governed by partial differential equations (PDEs). The complexities of the PDEs—and the requirement for rapid solution—pose significant difficulties. A particularly challenging class of PDE-constrained optimization problems is characterized by the need for real-time solution, i.e., in time scales that are sufficiently rapid to support simulation-based decision making. Real-Time PDE-Constrained Optimization, the first book devoted to real-time optimization for systems governed by PDEs, focuses on new formulations, methods, and algorithms needed to facilitate real-time, PDE-constrained optimization. In addition to presenting state-of-the-art algorithms and formulations, the text illustrates these algorithms with a diverse set of applications that includes problems in the areas of aerodynamics, biology, fluid dynamics, medicine, chemical processes, homeland security, and structural dynamics. Despite difficulties, there is a pressing need to capitalize on continuing advances in computing power to develop optimization methods that will replace simple rule-based decision making with optimized decisions based on complex PDE simulations. Audience The book is aimed at readers who have expertise in simulation and are interested in incorporating optimization into their simulations, who have expertise in numerical optimization and are interested in adapting optimization methods to the class of infinite-dimensional simulation problems, or who have worked in “offline” optimization contexts and are interested in moving to “online” optimization.Contents Preface; Part I: Concepts and Properties of Real-Time, Online Strategies. Chapter 1: Constrained Optimal Feedback Control of Systems Governed by Large Differential Algebraic Equations; Chapter 2: A Stabilizing Real-Time Implementation of Nonlinear Model Predictive Control; Chapter 3: Numerical Feedback Controller Design for PDE Systems Using Model Reduction: Techniques and Case Studies; Chapter 4: Least-Squares Finite Element Method for Optimization and Control Problems; Part II: Fast PDE-Constrained Optimization Solvers. Chapter 5: Space-Time Multigrid Methods for Solving Unsteady Optimal Control Problems; Chapter 6: A Time-Parallel Implicit Methodology for the Near-Real-Time Solution of Systems of Linear Oscillators; Chapter 7: Generalized SQP Methods with “Parareal” Time-Domain Decomposition for Time-Dependent PDE-Constrained Optimization; Chapter 8: Simultaneous Pseudo-Timestepping for State-Constrained Optimization Problems in Aerodynamics; Chapter 9: Digital Filter Stepsize Control in DASPK and Its Effect on Control Optimization Performance; Part III: Reduced Order Modeling. Chapter 10: Certified Rapid Solution of Partial Differential Equations for Real-Time Parameter Estimation and Optimization; Chapter 11: Model Reduction for Large-Scale Applications in Computational Fluid Dynamics; Chapter 12: Suboptimal Feedback Control of Flow Separation by POD Model Reduction; Part IV: Applications. Chapter 13: A Combined Shape-Newton and Topology Optimization Technique in Real-Time Image Segmentation; Chapter 14: COFIR: Coarse and Fine Image Registration; Chapter 15: Real-Time, Large Scale Optimization of Water Network Systems Using a Sub-domain Approach; Index.

Time-dependent Partial Differential Equations and Their Numerical Solution

Time-dependent Partial Differential Equations and Their Numerical Solution PDF Author: Heinz-Otto Kreiss
Publisher: Springer Science & Business Media
ISBN: 9783764361259
Category : Mathematics
Languages : en
Pages : 100

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Book Description
This book studies time-dependent partial differential equations and their numerical solution, developing the analytic and the numerical theory in parallel, and placing special emphasis on the discretization of boundary conditions. The theoretical results are then applied to Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. This book will be a useful introduction to the field for applied mathematicians and graduate students.

New Horizons in Time-Domain Diffuse Optical Spectroscopy and Imaging

New Horizons in Time-Domain Diffuse Optical Spectroscopy and Imaging PDF Author: Yoko Hoshi
Publisher: MDPI
ISBN: 3039361007
Category : Science
Languages : en
Pages : 246

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Book Description
Jöbsis was the first to describe the in vivo application of near-infrared spectroscopy (NIRS), also called diffuse optical spectroscopy (DOS). NIRS was originally designed for the clinical monitoring of tissue oxygenation, and today it has also become a useful tool for neuroimaging studies (functional near-infrared spectroscopy, fNIRS). However, difficulties in the selective and quantitative measurements of tissue hemoglobin (Hb), which have been central in the NIRS field for over 40 years, remain to be solved. To overcome these problems, time-domain (TD) and frequency-domain (FD) measurements have been tried. Presently, a wide range of NIRS instruments are available, including commonly available commercial instruments for continuous wave (CW) measurements, based on the modified Beer–Lambert law (steady-state domain measurements). Among these measurements, the TD measurement is the most promising approach, although compared with CW and FD measurements, TD measurements are less common, due to the need for large and expensive instruments with poor temporal resolution and limited dynamic range. However, thanks to technological developments, TD measurements are increasingly being used in research, and also in various clinical settings. This Special Issue highlights issues at the cutting edge of TD DOS and diffuse optical tomography (DOT). It covers all aspects related to TD measurements, including advances in hardware, methodology, the theory of light propagation, and clinical applications.

Images of Time

Images of Time PDF Author: George Jaroszkiewicz
Publisher: Oxford University Press
ISBN: 019107568X
Category : Science
Languages : en
Pages : 312

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Book Description
Have you ever wondered about Time: what it is or how to discuss it? If you have, then you may have been bewildered by the many different views and opinions in many diverse fields to be found, such as physics, mathematics, philosophy, religion, history, and science fiction novels and films. This book will help you unravel fact from fiction. It provides a broad survey of many of these views, these images of time, covering historical, cultural, philosophical, biological, mathematical and physical images of time, including classical and quantum mechanics, special and general relativity and cosmology. This book gives you more than just a review of such images. It provides the reader a basis for judging the scientific soundness of these various images. It develops the reader's critical ability to distinguish Images of Time in terms of its contextual completeness. Differentiating between metaphysical images (which cannot be scientifically validated) and those that could, in principle, be put to empirical test. Showing that mathematical and classical mechanical images are more complete, and genuine quantum mechanics based images have the greatest degree of contextual completeness. Through the use of a simple algorithm, the reader can decide the classification of any of the images of time discussed in this book. These distinctions are of particular importance in this day and age, when we are flooded by a plethora of competing Images of Time. Many of these have no scientific basis or empirical support or content. This book will be of value not only to philosophers, scientists and students, but also to the general reader interested in this fundamental topic, because it introduces a method of distinguishing between science fiction and science fact.