Computational Complexity Of Solving Equation Systems
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Computational Complexity Of Solving Equation Systems
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Author : Przemysław Broniek
language : en
Publisher: Springer
Release Date : 2015-07-24
Computational Complexity Of Solving Equation Systems written by Przemysław Broniek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-24 with Computers categories.
This volume considers the computational complexity of determining whether a system of equations over a fixed algebra A has a solution. It examines in detail the two problems this leads to: SysTermSat(A) and SysPolSat(A), in which equations are built out of terms or polynomials, respectively. The book characterizes those algebras for which SysPolSat can be solved in a polynomial time. So far, studies and their outcomes have not covered algebras that generate a variety admitting type 1 in the sense of Tame Congruence Theory. Since unary algebras admit only type 1, this book focuses on these algebras to tackle the main problem. It discusses several aspects of unary algebras and proves that the Constraint Satisfaction Problem for relational structures is polynomially equivalent to SysTermSat over unary algebras. The book’s final chapters discuss partial characterizations, present conclusions, and describe the problems that are still open.
Numerical Methods In Finance
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Author : Paolo Brandimarte
language : en
Publisher: John Wiley & Sons
Release Date : 2003-09-29
Numerical Methods In Finance written by Paolo Brandimarte and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-29 with Mathematics categories.
Balanced coverage of the methodology and theory of numerical methods in finance Numerical Methods in Finance bridges the gap between financial theory and computational practice while helping students and practitioners exploit MATLAB for financial applications. Paolo Brandimarte covers the basics of finance and numerical analysis and provides background material that suits the needs of students from both financial engineering and economics perspectives. Classical numerical analysis methods; optimization, including less familiar topics such as stochastic and integer programming; simulation, including low discrepancy sequences; and partial differential equations are covered in detail. Extensive illustrative examples of the application of all of these methodologies are also provided. The text is primarily focused on MATLAB-based application, but also includes descriptions of other readily available toolboxes that are relevant to finance. Helpful appendices on the basics of MATLAB and probability theory round out this balanced coverage. Accessible for students-yet still a useful reference for practitioners-Numerical Methods in Finance offers an expert introduction to powerful tools in finance.
Computational Complexity
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Author : Sanjeev Arora
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-20
Computational Complexity written by Sanjeev Arora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-20 with Computers categories.
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Intelligent Systems Modeling And Simulation Ii
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Author : Samsul Ariffin Abdul Karim
language : en
Publisher: Springer Nature
Release Date : 2022-10-12
Intelligent Systems Modeling And Simulation Ii written by Samsul Ariffin Abdul Karim and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-12 with Technology & Engineering categories.
This book develops a new system of modeling and simulations based on intelligence system. As we are directly moving from Third Industrial Revolution (IR3.0) to Fourth Industrial Revolution (IR4.0), there are many emergence techniques and algorithm that appear in many sciences and engineering branches. Nowadays, most industries are using IR4.0 in their product development as well as to refine their products. These include simulation on oil rig drilling, big data analytics on consumer analytics, fastest algorithm for large-scale numerical simulations and many more. These will save millions of dollar in the operating costs. Without any doubt, mathematics, statistics and computing are well blended to form an intelligent system for simulation and modeling. Motivated by this rapid development, in this book, a total of 41 chapters are contributed by the respective experts. The main scope of the book is to develop a new system of modeling and simulations based on machine learning, neural networks, efficient numerical algorithm and statistical methods. This book is highly suitable for postgraduate students, researchers as well as scientists that have interest in intelligent numerical modeling and simulations.
Stability Control And Computation For Time Delay Systems
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Author : Wim Michiels
language : en
Publisher: SIAM
Release Date : 2014-12-11
Stability Control And Computation For Time Delay Systems written by Wim Michiels and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-11 with Mathematics categories.
Time delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems.? In this revised edition, the authors make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book?s focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach.?
Tools And Algorithms For The Construction And Analysis Of Systems
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Author : Kurt Jensen
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-03-18
Tools And Algorithms For The Construction And Analysis Of Systems written by Kurt Jensen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-18 with Computers categories.
This book constitutes the refereed proceedings of the 10th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2004, held in Barcelona, Spain in March/April 2004. The 37 revised full papers and 6 revised tool demonstration papers presented were carefully reviewed and selected from a total of 162 submissions. The papers are organized in topical sections on theorem proving, probabilistic model checking, testing, tools, explicit state and Petri nets, scheduling, constraint solving, timed systems, case studies, software, temporal logic, abstraction, and automata techniques.
Tools And Algorithms For The Construction And Analysis Of Systems
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Author : Nir Piterman
language : en
Publisher: Springer
Release Date : 2013-02-17
Tools And Algorithms For The Construction And Analysis Of Systems written by Nir Piterman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-17 with Computers categories.
This book constitutes the proceedings of the 19th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2013, held in Rome, Italy, in March 2013. The 42 papers presented in this volume were carefully reviewed and selected from 172 submissions. They are organized in topical sections named: Markov chains; termination; SAT/SMT; games and synthesis; process algebra; pushdown; runtime verification and model checking; concurrency; learning and abduction; timed automata; security and access control; frontiers (graphics and quantum); functional programs and types; tool demonstrations; explicit-state model checking; Büchi automata; and competition on software verification.
Mathematical Foundations Of Computer Science 2001
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Author : Jiri Sgall
language : en
Publisher: Springer
Release Date : 2003-08-06
Mathematical Foundations Of Computer Science 2001 written by Jiri Sgall and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-06 with Computers categories.
This book constitutes the refereed proceedings of the 26th International Symposium on Mathematical Foundations of Computer Science, MFCS 2001, held in Marianske Lazne, Czech Republic in August 2001. The 51 revised full papers presented together with 10 invited contributions were carefully reviewed and selected from a total of 118 submissions. All current aspects of theoretical computer science are addressed ranging from mathematical logic and programming theory to algorithms, discrete mathematics, and complexity theory. Besides classical issues, modern topics like quantum computing are discussed as well.
Mathematical Foundations Of Computer Science 2005
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Author : Joanna Jedrzejowicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-17
Mathematical Foundations Of Computer Science 2005 written by Joanna Jedrzejowicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-17 with Computers categories.
This book constitutes the refereed proceedings of the 30th International Symposium on Mathematical Foundations of Computer Science, MFCS 2005, held in Gdansk, Poland in August/September 2005. The 62 revised full papers presented together with full papers or abstracts of 7 invited talks were carefully reviewed and selected from 137 submissions. All current aspects in theoretical computer science are addressed, ranging from quantum computing, approximation, automata, circuits, scheduling, games, languages, discrete mathematics, combinatorial optimization, graph theory, networking, algorithms, and complexity to programming theory, formal methods, and mathematical logic.
The Art Of High Performance Computing For Computational Science Vol 2
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Author : Masaaki Geshi
language : en
Publisher: Springer Nature
Release Date : 2019-10-01
The Art Of High Performance Computing For Computational Science Vol 2 written by Masaaki Geshi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-01 with Computers categories.
This book presents advanced and practical techniques for performance optimization for highly parallel processing. Featuring various parallelization techniques in material science, it is a valuable resource for anyone developing software codes for computational sciences such as physics, chemistry, biology, earth sciences, space science, weather, disaster prevention and manufacturing, as well as for anyone using those software codes. Chapter 1 outlines supercomputers and includes a brief explanation of the history of hardware. Chapter 2 presents procedures for performance evaluation, while Chapter 3 describes the set of tuned applications in materials science, nanoscience and nanotechnology, earth science and engineering on the K computer. Introducing the order-N method, based on density functional theory (DFT) calculation, Chapter 4 explains how to extend the applicability of DFT to large-scale systems by reducing the computational complexity. Chapter 5 discusses acceleration and parallelization in classical molecular dynamics simulations, and lastly, Chapter 6 explains techniques for large-scale quantum chemical calculations, including the order-N method. This is the second of the two volumes that grew out of a series of lectures in the K computer project in Japan. The first volume addresses more basic techniques, and this second volume focuses on advanced and concrete techniques.