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Integration Algorithms and Classical Mechanics

Integration Algorithms and Classical Mechanics PDF Author: Jerrold E. Marsden, George W. Patrick, and William F. Shadwick
Publisher: American Mathematical Soc.
ISBN: 9780821871188
Category : Differentiable dynamical systems
Languages : en
Pages : 260

Book Description
Dedicated to the late Juan Carlos Simo, this volume contains the proceedings of a workshop held at the Fields Institute in October 1993. The articles focus on current algorithms for the integration of mechanical systems, from systems in celestial mechanics to coupled rigid bodies to fluid mechanics. The scope of the articles ranges from symplectic integration methods to energy-momentum methods and related themes.

Integration Algorithms and Classical Mechanics

Integration Algorithms and Classical Mechanics PDF Author: Jerrold E. Marsden, George W. Patrick, and William F. Shadwick
Publisher: American Mathematical Soc.
ISBN: 9780821871188
Category : Differentiable dynamical systems
Languages : en
Pages : 260

Book Description
Dedicated to the late Juan Carlos Simo, this volume contains the proceedings of a workshop held at the Fields Institute in October 1993. The articles focus on current algorithms for the integration of mechanical systems, from systems in celestial mechanics to coupled rigid bodies to fluid mechanics. The scope of the articles ranges from symplectic integration methods to energy-momentum methods and related themes.

Integration Algorithms and Classical Mechanics

Integration Algorithms and Classical Mechanics PDF Author: Jerrold E. Marsden
Publisher: American Mathematical Soc.
ISBN: 0821802593
Category : Mathematics
Languages : en
Pages : 258

Book Description
Dedicated to the late Juan Carlos Simo, this volume contains the proceedings of a workshop held at the Fields Institute in October 1993. The articles focus on current algorithms for the integration of mechanical systems, from systems in celestial mechanics to coupled rigid bodies to fluid mechanics. The scope of the articles ranges from symplectic integration methods to energy-momentum methods and related themes.

Symbolic Integration I

Symbolic Integration I PDF Author: Manuel Bronstein
Publisher: Springer Science & Business Media
ISBN: 3662033860
Category : Mathematics
Languages : en
Pages : 311

Book Description
This first volume in the series "Algorithms and Computation in Mathematics", is destined to become the standard reference work in the field. Manuel Bronstein is the number-one expert on this topic and his book is the first to treat the subject both comprehensively and in sufficient detail - incorporating new results along the way. The book addresses mathematicians and computer scientists interested in symbolic computation, developers and programmers of computer algebra systems as well as users of symbolic integration methods. Many algorithms are given in pseudocode ready for immediate implementation, making the book equally suitable as a textbook for lecture courses on symbolic integration.

Acta Numerica 2002: Volume 11

Acta Numerica 2002: Volume 11 PDF Author: Arieh Iserles
Publisher: Cambridge University Press
ISBN: 9780521818766
Category : Mathematics
Languages : en
Pages : 600

Book Description
An annual volume presenting substantive survey articles in numerical mathematics and scientific computing.

Topics in Semidefinite and Interior-Point Methods

Topics in Semidefinite and Interior-Point Methods PDF Author: Panos M. Pardalos
Publisher: American Mathematical Soc.
ISBN: 0821808257
Category : Mathematics
Languages : en
Pages : 272

Book Description
This volume presents refereed papers presented at the workshop Semidefinite Programming and Interior-Point Approaches for Combinatorial Problems: held at The Fields Institute in May 1996. Semidefinite programming (SDP) is a generalization of linear programming (LP) in that the non-negativity constraints on the variables is replaced by a positive semidefinite constraint on matrix variables. Many of the elegant theoretical properties and powerful solution techniques follow through from LP to SDP. In particular, the primal-dual interior-point methods, which are currently so successful for LP, can be used to efficiently solve SDP problems. In addition to the theoretical and algorithmic questions, SDP has found many important applications in combinatorial optimization, control theory and other areas of mathematical programming. The papers in this volume cover a wide spectrum of recent developments in SDP. The volume would be suitable as a textbook for advanced courses in optimization. It is intended for graduate students and researchers in mathematics, computer science, engineering and operations.

Geometric, Control and Numerical Aspects of Nonholonomic Systems

Geometric, Control and Numerical Aspects of Nonholonomic Systems PDF Author: Jorge Cortés Monforte
Publisher: Springer
ISBN: 3540457305
Category : Mathematics
Languages : en
Pages : 235

Book Description
Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical Mechanics, Differential Geometry, Numerical Analysis or Control Theory are brought together in this study of nonholonomic systems.

Operator Theory and Its Applications

Operator Theory and Its Applications PDF Author: Alexander G. Ramm
Publisher: American Mathematical Soc.
ISBN: 0821819909
Category : Mathematics
Languages : en
Pages : 594

Book Description
Together with the papers on the abstract operator theory are many papers on the theory of differential operators, boundary value problems, inverse scattering and other inverse problems, and on applications to biology, chemistry, wave propagation, and many other areas."--BOOK JACKET.

Topics in Mathematical Economics and Game Theory

Topics in Mathematical Economics and Game Theory PDF Author: Robert J. Aumann
Publisher: American Mathematical Soc.
ISBN: 9780821805251
Category : Business & Economics
Languages : en
Pages : 306

Book Description
Since the publication of "Theory of Games and Economic Behavior" by von Neumann and Morgenstern, the concept of games has played an increasing role in economics. It also plays a role of growing importance in other sciences, including biology, political science, and psychology. Many scientists have made seminal advances and continue to be leaders in the field, including Harsanyi, Shapley, Shubik, and Selten. Professor Robert Aumann, in addition to his important contributions to game theory and economics, made a number of significant contributions to mathematics. This volume provides a collection of essays in mathematical economics and game theory, including cutting-edge research on noncooperative game theory and its foundations, bargaining theory, and general equilibrium theory. Also included is a reprint of Aumann's classic paper, "Acceptable Points in General Cooperative n-Person Games" and of the oft-cited, yet hard to find, paper by Maschler, "The Worth of a Cooperative Enterprise to Each Member". This book illustrates the wide range of applications of mathematics to economics, game theory, and social choice. The volume is dedicated to Professor Robert J. Aumann, Hebrew University, Jerusalem, Israel, for his contributions in mathematics and social sciences.

Galois Theory, Hopf Algebras, and Semiabelian Categories

Galois Theory, Hopf Algebras, and Semiabelian Categories PDF Author: George Janelidze, Bodo Pareigis, and Walter Tholen
Publisher: American Mathematical Soc.
ISBN: 9780821871478
Category :
Languages : en
Pages : 588

Book Description


Algebraic K-Theory

Algebraic K-Theory PDF Author: Victor Percy Snaith
Publisher: American Mathematical Soc.
ISBN: 0821808184
Category : Mathematics
Languages : en
Pages : 374

Book Description
The proceedings volume from the March 1996 conference is dedicated to the late Bob Thomason, one of the leading research mathematicians specializing in algebraic K-theory. Twelve contributions include research papers treated in the lectures at the conference, articles inspired by those lectures, an exposition of Thomason's famous result concerning the relationship between algebraic K-theory and etale cohomology, and an exposition explaining and elaborating upon unpublished work of O. Gabber on Bloch-Ogus-Gersten type resolutions in K-theory and algebraic geometry. Annotation copyrighted by Book News, Inc., Portland, OR