Sigal Gottlieb's Books

Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations

By: Sigal Gottlieb,David I. Ketcheson,Chi-Wang Shu

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Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations

By: Sigal Gottlieb,David I. Ketcheson,Chi-Wang Shu

This book captures the state-of-the-art in the field of Strong Stability Preserving (SSP) time stepping methods, which have significant advantages for the time evolution of partial differential equations describing a wide range of physical phenomena. This comprehensive book describes the development of SSP methods, explains the types of problems which require the use of these methods and demonstrates the efficiency of these methods using a variety of numerical examples. Another valuable feature of this book is that it collects the most useful SSP methods, both explicit and implicit, and presents the other properties of these methods which make them desirable (such as low storage, small error coefficients, large linear stability domains). This book is valuable for both researchers studying the field of time-discretizations for PDEs, and the users of such methods.

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Page Count

189

Publisher

World Scientific

Published Date

ISBN 10

9814289264

ISBN 13

9789814289269

Spectral Methods for Time-Dependent Problems

By: Jan S. Hesthaven,Sigal Gottlieb,David Gottlieb

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Spectral Methods for Time-Dependent Problems

By: Jan S. Hesthaven,Sigal Gottlieb,David Gottlieb

Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners.

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Cambridge University Press

Published Date

ISBN 10

113945952X

ISBN 13

9781139459525

Shades of Public Finance

Illicit Bankruptcies, Innovative Municipal Bonds, and Why the Patriots Didn't Move to Hartford

By: Richard Land Sigal

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Shades of Public Finance

Illicit Bankruptcies, Innovative Municipal Bonds, and Why the Patriots Didn't Move to Hartford

By: Richard Land Sigal

Shades of Public Finance Vol. 1 lifts the curtain on aspects of American civil and financial underpinnings that most people know little about. Local water treatment systems, state university campuses, roads, parks and many other features of our cities and states have been built with local control and local decision-making because imaginative figures like Richard Sigal found ways to turn community assets into cash through bonds. Sigal explains in clear language how bonds are structured, who gets rich, who gets stuck and how politics impacts bond financing. Sigal highlights the frightening prospect of centralized, federal control of local communities infrastructure and growth because municipal bankruptcy has become an acceptable strategy in difficult financial times, despite workable options that preserve local creditworthiness.

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Page Count

185

Publisher

Dudley Court Press, LLC

Published Date

ISBN 10

1940013615

ISBN 13

9781940013619

The Changing Dynamics of U.S. Defense Spending

By: Leon V. Sigal

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The Changing Dynamics of U.S. Defense Spending

By: Leon V. Sigal

A behind-the-scenes look at the environment for defense policy and budgeting—in Congress, the news media, and the defense industry—reveals that the appearance of stability is deceiving. Pressures are building for change. Defense spending has leveled off at about $265 billion a year in outlays. Current commitments to preserve the existing force while purchasing new weaponry are creating significant budget issues which must be addressed. This book probes beneath the surface to show how the political base for defense spending is eroding. The economic benefits of defense spending and of foreign military sales are increasingly concentrated. A few well-placed members are now the main beneficiaries of add-ons to the budget. At the same time, mergers and acquisitions have left the defense industrial base largely intact, with new weapons filling every production line. Yet it will take sharp increases in the defense budget to fund these new weapons, increases that may not be politically viable. A provocative analysis by some of the leading scholars and researchers involved with defense and foreign policy issues, this will be of great interest to experts as well as general readers.

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Page Count

240

Publisher

Bloomsbury Publishing USA

Published Date

ISBN 10

0313028621

ISBN 13

9780313028625

Cancel Wars

How Universities Can Foster Free Speech, Promote Inclusion, and Renew Democracy

By: Sigal R. Ben-Porath

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Cancel Wars

How Universities Can Foster Free Speech, Promote Inclusion, and Renew Democracy

By: Sigal R. Ben-Porath

An even-handed exploration of the polarized state of campus politics that suggests ways for schools and universities to encourage discourse across difference. College campuses have become flashpoints of the current culture war and, consequently, much ink has been spilled over the relationship between universities and the cultivation or coddling of young American minds. Philosopher Sigal R. Ben-Porath takes head-on arguments that infantilize students who speak out against violent and racist discourse on campus or rehash interpretations of the First Amendment. Ben-Porath sets out to demonstrate the role of the university in American society and, specifically, how it can model free speech in ways that promote democratic ideals. In Cancel Wars, she argues that the escalating struggles over “cancel culture,” “safe spaces,” and free speech on campus are a manifestation of broader democratic erosion in the United States. At the same time, she takes a nuanced approach to the legitimate claims of harm put forward by those who are targeted by hate speech. Ben-Porath’s focus on the boundaries of acceptable speech (and on the disproportional impact that hate speech has on marginalized groups) sheds light on the responsibility of institutions to respond to extreme speech in ways that proactively establish conversations across difference. Establishing these conversations has profound implications for political discourse beyond the boundaries of collegiate institutions. If we can draw on the truth, expertise, and reliable sources of information that are within the work of academic institutions, we might harness the shared construction of knowledge that takes place at schools, colleges, and universities against truth decay. Of interest to teachers and school leaders, this book shows that by expanding and disseminating knowledge, universities can help rekindle the civic trust that is necessary for revitalizing democracy.

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Page Count

207

Publisher

University of Chicago Press

Published Date

ISBN 10

0226823806

ISBN 13

9780226823805

Race, Class, and Affirmative Action

By: Sigal Alon

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Race, Class, and Affirmative Action

By: Sigal Alon

No issue in American higher education is more contentious than that of race-based affirmative action. In light of the ongoing debate around the topic and recent Supreme Court rulings, affirmative action policy may be facing further changes. As an alternative to race-based affirmative action, some analysts suggest affirmative action policies based on class. In Race, Class, and Affirmative Action, sociologist Sigal Alon studies the race-based affirmative action policies in the United States. and the class-based affirmative action policies in Israel. Alon evaluates how these different policies foster campus diversity and socioeconomic mobility by comparing the Israeli policy with a simulated model of race-based affirmative action and the U.S. policy with a simulated model of class-based affirmative action. Alon finds that affirmative action at elite institutions in both countries is a key vehicle of mobility for disenfranchised students, whether they are racial and ethnic minorities or socioeconomically disadvantaged. Affirmative action improves their academic success and graduation rates and leads to better labor market outcomes. The beneficiaries of affirmative action in both countries thrive at elite colleges and in selective fields of study. As Alon demonstrates, they would not be better off attending less selective colleges instead. Alon finds that Israel’s class-based affirmative action programs have provided much-needed entry slots at the elite universities to students from the geographic periphery, from high-poverty high schools, and from poor families. However, this approach has not generated as much ethnic diversity as a race-based policy would. By contrast, affirmative action policies in the United States have fostered racial and ethnic diversity at a level that cannot be matched with class-based policies. Yet, class-based policies would do a better job at boosting the socioeconomic diversity at these bastions of privilege. The findings from both countries suggest that neither race-based nor class-based models by themselves can generate broad diversity. According to Alon, the best route for promoting both racial and socioeconomic diversity is to embed the consideration of race within class-based affirmative action. Such a hybrid model would maximize the mobility benefits for both socioeconomically disadvantaged and minority students. Race, Class, and Affirmative Action moves past political talking points to offer an innovative, evidence-based perspective on the merits and feasibility of different designs of affirmative action.

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Page Count

346

Publisher

Russell Sage Foundation

Published Date

ISBN 10

1610448545

ISBN 13

9781610448543

Mathematical Concepts of Quantum Mechanics

By: Stephen J. Gustafson,Israel Michael Sigal

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Mathematical Concepts of Quantum Mechanics

By: Stephen J. Gustafson,Israel Michael Sigal

The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last four chapters could also serve as an introductory course in quantum field theory.

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Page Count

380

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642218660

ISBN 13

9783642218668

Tough Choices

Structured Paternalism and the Landscape of Choice

By: Sigal R. Ben-Porath

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Tough Choices

Structured Paternalism and the Landscape of Choice

By: Sigal R. Ben-Porath

To what extent should government be permitted to intervene in personal choices? In grappling with this question, liberal theory seeks to balance individual liberty with the advancement of collective goals such as equality. Too often, however, society's obligation to provide meaningful opportunities is overshadowed by its commitment to personal freedom. Tough Choices charts a middle course between freedom-oriented anti-interventionism and equality-oriented social welfare, presenting a way to structure choices that equalize opportunities while protecting the freedom of individuals to choose among them. Drawing on insights from behavioral economics, psychology, and educational theory, Sigal Ben-Porath makes the case for structured paternalism, which is based on the understanding that state intervention is often inevitable, and that therefore theorists and policymakers must focus on the extent to which it can productively be applied, as well as on the forms it should take in different social domains. Ben-Porath explores how structured paternalism can play a role in providing equal opportunities for individual choice in an array of personal and social contexts, including the intimate lives of adults, parent-child relationships, school choice, and intercultural relations. Tough Choices demonstrates how structured paternalism can inform more egalitarian social policies, ones that acknowledge personal, social, and cultural differences as well as the challenges all individuals may face when they make a choice.

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Page Count

193

Publisher

Princeton University Press

Published Date

ISBN 10

1400836867

ISBN 13

9781400836864

Spectral Methods for Time-Dependent Problems

By: Jan S. Hesthaven,Sigal Gottlieb,David Gottlieb

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Spectral Methods for Time-Dependent Problems

By: Jan S. Hesthaven,Sigal Gottlieb,David Gottlieb

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Page Count

284

Publisher

Cambridge University Press

Published Date

ISBN 10

0521792118

ISBN 13

9780521792110

Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations

By: Sigal Gottlieb,David I. Ketcheson,Chi-Wang Shu

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Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations

By: Sigal Gottlieb,David I. Ketcheson,Chi-Wang Shu

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Solve jigsaw puzzle

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Page Count

189

Publisher

World Scientific

Published Date

ISBN 10

9814289264

ISBN 13

9789814289269

Book's by Sigal Gottlieb

Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations

Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations

Spectral Methods for Time-Dependent Problems

Spectral Methods for Time-Dependent Problems

Shades of Public Finance

Shades of Public Finance

The Changing Dynamics of U.S. Defense Spending

The Changing Dynamics of U.S. Defense Spending

Cancel Wars

Cancel Wars

Race, Class, and Affirmative Action

Race, Class, and Affirmative Action

Mathematical Concepts of Quantum Mechanics

Mathematical Concepts of Quantum Mechanics

Tough Choices

Tough Choices

Spectral Methods for Time-Dependent Problems

Spectral Methods for Time-Dependent Problems

Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations

Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations

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