Category: Number Systems

  • Advances in Applied Mathematics and Global Optimization: In by David Y. Gao,Hanif D. Sherali

    By David Y. Gao,Hanif D. Sherali

    The articles that include this distinct annual quantity for the Advances in Mechanics and Mathematics sequence were written in honor of Gilbert Strang, an international well known mathematician and unheard of individual. Written by way of prime specialists in complementarity, duality, worldwide optimization, and quantum computations, this assortment unearths the wonderful thing about those mathematical disciplines and investigates fresh advancements in international optimization, nonconvex and nonsmooth research, nonlinear programming, theoretical and engineering mechanics, huge scale computation, quantum algorithms and computation, and data theory.

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  • Advanced Field-Solver Techniques for RC Extraction of by Wenjian Yu,Xiren Wang

    By Wenjian Yu,Xiren Wang

    Resistance and capacitance (RC) extraction is an important step in modeling the interconnection wires and substrate coupling influence in nanometer-technology built-in circuits (IC). The field-solver suggestions for RC extraction warrantly the accuracy of modeling, and have gotten more and more vital in assembly the call for for actual modeling and simulation of VLSI designs. Advanced Field-Solver thoughts for RC Extraction of built-in Circuits provides a scientific advent to, and remedy of, the major field-solver equipment for RC extraction of VLSI interconnects and substrate coupling in mixed-signal ICs. a variety of field-solver innovations are defined intimately, with real-world examples to demonstrate the benefits and drawbacks of every algorithm.

    This ebook will gain graduate scholars and researchers within the box of electric and machine engineering in addition to engineers operating within the IC layout and layout automation industries.

    Dr. Wenjian Yu is an affiliate Professor on the division of machine technology and expertise at Tsinghua collage in China; Dr. Xiren Wang is a R&D Engineer at Cadence layout structures within the USA.

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  • Mathematical Model of Spontaneous Potential Well-Logging and by Tatsien Li,Yongji Tan,Zhijie Cai,Wei Chen,Jingnong Wang

    By Tatsien Li,Yongji Tan,Zhijie Cai,Wei Chen,Jingnong Wang

    Spontaneous capability (SP) well-logging is without doubt one of the commonest and important well-logging suggestions in petroleum exploitation. This monograph is the 1st of its sort at the mathematical version of spontaneous power well-logging and its numerical recommendations. The mathematical version confirmed during this ebook indicates the need of introducing Sobolev areas with fractional energy, which heavily raises the trouble of proving the well-posedness and featuring numerical resolution schemes. during this booklet, within the axisymmetric state of affairs the well-posedness of the corresponding mathematical version is proved and 3 effective schemes of numerical answer are proposed, supported through a couple of numerical examples to satisfy useful computation needs.

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  • A Simple Introduction to the Mixed Finite Element Method: by Gabriel N. Gatica

    By Gabriel N. Gatica

    the most function of this ebook is to supply an easy and available creation to the mixed finite point procedure as a primary software to numerically resolve a large type of boundary price difficulties coming up in physics and engineering sciences. The e-book is based on fabric that was once taught in corresponding undergraduate and graduate courses on the Universidad de Concepcion, Concepcion, Chile, over the last 7 years. in comparison with numerous different classical books within the topic, the most beneficial properties of the present one need to do, on one hand, with an try of featuring and explaining most of the main points within the proofs and within the diverse purposes. particularly numerous results and elements of the corresponding research which are often on hand merely in papers or proceedings are incorporated here.
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  • Partial Differential Equations: Theory, Control and by Philippe G. Ciarlet,Tatsien Li,Yvon Maday

    By Philippe G. Ciarlet,Tatsien Li,Yvon Maday

    This booklet collects papers in general provided on the "International convention on Partial Differential Equations: concept, keep an eye on and Approximation" (May 28 to June 1, 2012 in Shanghai) in honor of the medical legacy of the phenomenal mathematician Jacques-Louis Lions. The individuals are major specialists from around the globe, together with participants of the Academies of Sciences in France, the united states and China etc., and their papers conceal key fields of study, e.g. partial differential equations, keep watch over concept and numerical research, that Jacques-Louis Lions created or contributed loads to establishing.

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  • Meshfree Methods for Partial Differential Equations II: 43 by Michael Griebel,Marc Alexander Schweitzer

    By Michael Griebel,Marc Alexander Schweitzer

    The numerical remedy of partial differential equations with particle tools and meshfree discretization ideas is a truly lively study box either within the arithmetic and engineering group. because of their independence of a mesh, particle schemes and meshfree equipment can care for huge geometric alterations of the area extra simply than classical discretization options. additionally, meshfree tools supply a promising procedure for the coupling of particle versions to non-stop types. This quantity of LNCSE is a suite of the papers from the court cases of the second one overseas Workshop on Meshfree tools held in September 2003 in Bonn. The articles deal with different meshfree tools (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their program in utilized arithmetic, physics and engineering. the quantity is meant to foster this new and interesting sector of interdisciplinary study and to give contemporary advances and leads to this field.
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  • Computational Methods of Feature Selection (Chapman & by Huan Liu,Hiroshi Motoda

    By Huan Liu,Hiroshi Motoda

    because of expanding calls for for dimensionality relief, learn on function choice has deeply and broadly improved into many fields, together with computational information, development reputation, computing device studying, info mining, and information discovery. Highlighting present examine concerns, Computational tools of characteristic Selection introduces the elemental options and ideas, cutting-edge algorithms, and novel purposes of this software.

    The ebook starts by means of exploring unsupervised, randomized, and causal function choice. It then reviews on a few fresh result of empowering function choice, together with energetic function choice, decision-border estimate, using ensembles with autonomous probes, and incremental characteristic choice. this is often through discussions of weighting and native tools, similar to the ReliefF kinfolk, k-means clustering, neighborhood function relevance, and a brand new interpretation of reduction. The booklet for that reason covers textual content class, a brand new characteristic choice rating, and either constraint-guided and competitive function choice. the ultimate part examines purposes of function choice in bioinformatics, together with characteristic development in addition to redundancy-, ensemble-, and penalty-based function choice.

    Through a transparent, concise, and coherent presentation of issues, this quantity systematically covers the foremost options, underlying rules, and creative purposes of characteristic choice, illustrating how this robust device can successfully harness titanic, high-dimensional information and switch it into priceless, trustworthy information.

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  • Grundwissen Mathematikstudium: Höhere Analysis, Numerik und by Martin Brokate,Norbert Henze,Frank Hettlich,Andreas

    By Martin Brokate,Norbert Henze,Frank Hettlich,Andreas Meister,Gabriela Schranz-Kirlinger,Thomas Sonar,Daniel Rademacher

     Dieses vierfarbige Lehrbuch wendet sich an Studierende der Mathematik in Bachelor-Studiengängen. Es bietet in einem Band ein lebendiges Bild der mathematischen Inhalte, die üblicherweise im zweiten und dritten Studienjahr behandelt werden (mit Ausnahme der Algebra).

    Mathematik-Studierende finden wichtige Begriffe, Sätze und Beweise ausführlich und mit vielen Beispielen erklärt und werden an grundlegende Konzepte und Methoden herangeführt.

    Im Mittelpunkt stehen das Verständnis der mathematischen Zusammenhänge und des Aufbaus der Theorie sowie die Strukturen und Ideen wichtiger Sätze und Beweise. Es wird nicht nur ein in sich geschlossenes Theoriengebäude dargestellt, sondern auch verdeutlicht, wie es entsteht und wozu die Inhalte später benötigt werden.

    Herausragende Merkmale sind:

    • durchgängig vierfarbiges format mit mehr als 350 Abbildungen
    • prägnant formulierte Kerngedanken bilden die Abschnittsüberschriften
    • Selbsttests in kurzen Abständen ermöglichen Lernkontrollen während des Lesens
    • farbige Merkkästen heben das Wichtigste hervor
    • „Unter-der-Lupe“-Boxen zoomen in Beweise hinein, motivieren und erklären information
    • „Hintergrund-und-Ausblick“-Boxen stellen Zusammenhänge zu anderen Gebieten und weiterführenden Themen her
    • Zusammenfassungen zu jedem Kapitel sowie Übersichtsboxen
    • mehr als 500 Verständnisfragen, Rechenaufgaben und Aufgaben zu Beweisen

    Der inhaltliche Schwerpunkt liegt auf dem weiteren Ausbau der research sowie auf den Themen der Vorlesungen Numerik sowie Wahrscheinlichkeitstheorie und Statistik. Behandelt werden darüber hinaus Inhalte und Methodenkompetenzen, die vielerorts im zweiten und dritten Studienjahr der Mathematikausbildung vermittelt werden.

    Auf der web site zum Buch Matheweb finden Sie

    • Hinweise, Lösungswege und Ergebnisse zu allen Aufgaben
    • die Möglichkeit, zu den Kapiteln Fragen zu stellen

    Das Buch wird allen Studierenden der Mathematik ein verlässlicher Begleiter sein.

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  • Approximation and Computation: In Honor of Gradimir V. by Walter Gautschi,Giuseppe Mastroianni,Themistocles Rassias

    By Walter Gautschi,Giuseppe Mastroianni,Themistocles Rassias

    Approximation thought and numerical research are valuable to the production of actual laptop simulations and mathematical versions. examine in those components can impression the computational recommendations utilized in numerous mathematical and computational sciences.

    This choice of contributed chapters, devoted to well known mathematician Gradimir V. Milovanović, characterize the new paintings of specialists within the fields of approximation idea and numerical research. those invited contributions describe new tendencies in those vital components of analysis together with theoretic advancements, new computational algorithms, and multidisciplinary applications.

    Special beneficial properties of this volume:

    - provides effects and approximation tools in a number of computational settings together with: polynomial and orthogonal platforms, analytic capabilities, and differential equations.

    - presents a ancient assessment of approximation concept and lots of of its subdisciplines;

    - includes new effects from diversified parts of study spanning arithmetic, engineering, and the computational sciences.

    "Approximation and Computation" is meant for mathematicians and researchers targeting approximation idea and numerical research, yet is additionally a important source to scholars and researchers within the computational and utilized sciences.

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  • High Performance Scientific and Engineering Computing: by Michael Breuer,Franz Durst,Christoph Zenger

    By Michael Breuer,Franz Durst,Christoph Zenger

    In Douglas Adams' booklet 'Hitchhiker's advisor to the Galaxy', hyper-intelligent beings reached some degree of their lifestyles the place they desired to comprehend the aim in their personal lifestyles and the universe. They outfitted a supercomputer, known as Deep suggestion, and upon of entirety, they requested it for the reply to the final word query of existence, the universe and every thing else. the pc labored for a number of millennia at the solutions to a majority of these questions. whilst the day arrived for hyper-intelligent beings the to obtain the reply, they have been shocked, surprised and disillusioned to listen to that the reply was once easily forty two. The nonetheless open inquiries to scientists and engineers are usually a lot sim­ pler and for this reason the solutions are extra moderate. additionally, simply because humans are too impatient and never able to look ahead to this sort of lengthy pe­ riod, high-performance computing strategies were constructed, resulting in a lot speedier solutions. in accordance with those advancements within the final twenty years, medical and engineering computing has developed to a key know-how which performs a major function in deciding upon, or no less than shaping, destiny learn and improvement actions in lots of branches of undefined. improvement paintings has been occurring world wide leading to numerical equipment which are now to be had for simulations that weren't foreseeable a few years in the past. despite the fact that, nowadays the provision of supercomputers with Teraflop perfor­ mance helps wide computations with technical relevance. a brand new age of engineering has started.
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