Einführung in die angewandte Geometrie by Oswin Aichholzer, Bert Jüttler PDF

By Oswin Aichholzer, Bert Jüttler

ISBN-10: 3034601433

ISBN-13: 9783034601436

ISBN-10: 3034606516

ISBN-13: 9783034606516

Das Buch ist an der Schnittstelle zwischen linearer Algebra und rechnerischer Geometrie angesiedelt. Einerseits werden die klassischen Geometrien (euklidisch, affin, projektiv, nicht-euklidisch) mit Mitteln der linearen Algebra behandelt. Andererseits werden grundlegende Strukturen der rechnerischen Geometrie (Splinekurven, Mittelachsen, Triangulierungen) und algorithmische Methoden diskutiert. Der Schwerpunkt liegt dabei auf den geometrischen Eigenschaften, gleichzeitig werden auch relevante algorithmische Konzepte vorgestellt. Zahlreiche Übungsaufgaben (mit Lösungshinweisen) ergänzen die Darstellung.

Das Buch eignet sich für Studierende aus den Fachrichtungen Mathematik, Informatik, Maschinenbau, Bauingenieurwesen und verwandter Studiengänge ab dem zweiten Semester. Es kann als Lehrbuch verwendet werden oder als ergänzende Literatur für Grundvorlesungen über angewandte Geometrie, analytische Geometrie, rechnerische Geometrie (Computational Geometry) sowie machine Aided Geometric layout.

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Download e-book for kindle: Partielle Differentialgleichungen und numerische Methoden by Stig Larsson, Vidar Thomee, M. Krieger-Hauwede

By Stig Larsson, Vidar Thomee, M. Krieger-Hauwede

ISBN-10: 3540208232

ISBN-13: 9783540208235

Das Buch ist f?r Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. F?r jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enth?lt der textual content jeweils ein Kapitel zur mathematischen Theorie der Differentialgleichung gefolgt von einem Kapitel zu finiten Differenzenverfahren sowie einem zu Methoden der finiten Elemente. Den Kapiteln zu elliptischen Gleichungen geht ein Kapitel zum Zweipunkt-Randwertproblem f?r gew?hnliche Differentialgleichungen voran. Ebenso ist den Kapiteln zu zeitabh?ngigen Problemen ein Kapitel zum Anfangswertproblem f?r gew?hnliche Differentialgleichungen vorangestellt. Zudem gibt es ein Kapitel zum elliptischen Eigenwertproblem und zur Entwicklung nach Eigenfunktionen. Die Darstellung setzt keine tiefer gehenden Kenntnisse in research und Funktionalanalysis voraus. Das erforderliche Grundwissen ?ber lineare Funktionalanalysis und Sobolev-R?ume wird im Anhang im ?berblick besprochen.

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Download e-book for iPad: Homogenization in Time of Singularly Perturbed Mechanical by Folkmar Bornemann

By Folkmar Bornemann

ISBN-10: 3540644474

ISBN-13: 9783540644477

This publication is ready the categorical removal of quick oscillatory scales in dynamical structures, that is very important for effective computer-simulations and our figuring out of version hierarchies. the writer provides his new direct process, homogenization in time, in line with power ideas and susceptible convergence innovations. find out how to use this system is proven in numerous basic circumstances taken from classical and quantum mechanics. the consequences are utilized to important difficulties from plasma physics, molecular dynamics and quantum chemistry. history fabric from useful research is supplied and defined to make this booklet obtainable for a basic viewers of graduate scholars and researchers.

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Dietrich Braess's Finite Elemente: Theorie, schnelle Löser und Anwendungen in PDF

By Dietrich Braess

ISBN-10: 3540001220

ISBN-13: 9783540001225

ISBN-10: 3540724494

ISBN-13: 9783540724490

ISBN-10: 3540724508

ISBN-13: 9783540724506

Bei der numerischen Behandlung partieller Differentialgleichungen treten oft überraschende Phänomene auf. Neben der zügigen Behandlung der klassischen Theorie, die bis an die aktuelle Forschung heranführt, wird deshalb viel Wert auf die Darstellung von Beispielen und Gegenbeispielen gelegt. Die Beispiele haben mit dazu beigetragen, dass das Buch jetzt zu den Standardwerken bei den Finiten Elementen zählt.

Mit der fünften Auflage erfolgte eine weitere Abrundung bei den Themen, deren Bedeutung  in den letzten Jahren gewachsen ist. Mit der Theorie der a posteriori Fehlerschätzer wird  a priori info über den Diskretisierungsfehler  gewonnen, die in der klassischen Theorie noch nicht hergeleitet wurden und die – schärfer als sonst –eine Eigenart von a posteriori Schätzern beleuchtet. Die Behandlung von Platten in der Festkörpermechanik erhält jetzt mit dem Zwei-Energien-Prinzip eine solide Grundlage, nachdem in der letzten Auflage die Behandlung von Locking Effekten in eine vollständige Theorie mündete.

Das Buch richtet sich an Studierende der Mathematik im three. Und four. Studienjahr und in den späteren Kapiteln auch an junge Forscher, bei denen Finite Elemente im Mittelpunkt ihrer Arbeit stehen.

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Programming for Computations - Python: A Gentle Introduction by Svein Linge, Hans Petter Langtangen PDF

By Svein Linge, Hans Petter Langtangen

ISBN-10: 3319324276

ISBN-13: 9783319324272

ISBN-10: 3319324284

ISBN-13: 9783319324289

This ebook offers computing device programming as a key procedure for fixing mathematical difficulties. There are models of the booklet, one for MATLAB and one for Python. The e-book used to be encouraged via the Springer ebook TCSE 6: A Primer on medical Programming with Python (by Langtangen), however the type is extra obtainable and concise, based on the desires of engineering scholars.

The ebook outlines the shortest attainable course from no past event with programming to a suite of talents that permits the scholars to jot down basic courses for fixing universal mathematical issues of numerical equipment in engineering and technological know-how classes. The emphasis is on everyday algorithms, fresh layout of courses, use of services, and automated checks for verification.

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Download PDF by Pierre-Louis Curien: Categorical Combinators, Sequential Algorithms, and

By Pierre-Louis Curien

ISBN-10: 1461203171

ISBN-13: 9781461203179

ISBN-10: 1461267048

ISBN-13: 9781461267041

This ebook is a revised version of the monograph which seemed below an analogous identify within the sequence learn Notes in Theoretical machine technological know-how, Pit­ guy, in 1986. as well as a common attempt to enhance typography, English, and presentation, the most novelty of this moment variation is the mixing of a few new fabric. a part of it really is mine (mostly together with coauthors). this is short consultant to those additions. i've got augmented the account of specific combinatory common sense with an outline of the confluence homes of rewriting platforms of categor­ ical combinators (Hardin, Yokouchi), and of the newly constructed cal­ culi of specific substitutions (Abadi, Cardelli, Curien, Hardin, Levy, and Rios), that are comparable in spirit to the explicit combinatory good judgment, yet are toward the syntax of A-calculus (Section 1.2). The learn of the whole abstraction challenge for PCF and extensions of it's been enriched with a brand new complete abstraction outcome: the version of sequential algorithms is absolutely summary with recognize to an extension of PCF with a keep watch over operator (Cartwright, Felleisen, Curien). An order­ extensional version of error-sensitive sequential algorithms is additionally absolutely summary for a corresponding extension of PCF with a keep an eye on operator and mistakes (Sections 2.6 and 4.1). I recommend that sequential algorithms lend themselves to a decomposition of the functionality areas that results in types of linear good judgment (Lamarche, Curien), and that connects sequentiality with video games (Joyal, Blass, Abramsky) (Sections 2.1 and 2.6).

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Download PDF by Kendall Atkinson, Weimin Han: Theoretical Numerical Analysis: A Functional Analysis

By Kendall Atkinson, Weimin Han

ISBN-10: 0387215263

ISBN-13: 9780387215266

ISBN-10: 0387951423

ISBN-13: 9780387951423

This booklet provides an creation to practical research for graduate scholars pursuing examine related to numerical research. The textual content covers uncomplicated result of useful research in addition to extra issues wanted in theoretical numerical research. functions of practical research are given by way of contemplating numerical tools for fixing partial differential equations and necessary equations. wide workouts are incorporated on the finish of every part besides options for added analyzing. This ebook is principally fitted to scholars attracted to the numerical resolution of differential and/or crucial equations, however it also will entice numerical analysts and mathematically-oriented scholars and researchers in engineering, physics, and similar parts.

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Accuracy Verification Methods: Theory and Algorithms - download pdf or read online

By Olli Mali

ISBN-10: 9400775806

ISBN-13: 9789400775800

ISBN-10: 9400775814

ISBN-13: 9789400775817

The value of accuracy verification equipment was once understood on the very starting of the advance of numerical research. contemporary a long time have noticeable a fast progress of effects on the topic of adaptive numerical tools and a posteriori estimates. notwithstanding, during this vital region there frequently exists a visible hole among mathematicians growing the speculation and researchers constructing utilized algorithms which may be utilized in engineering and clinical computations for assured and effective errors control.

The pursuits of the ebook are to (1) provide a clear clarification of the underlying mathematical thought in a mode obtainable not just to complex numerical analysts but in addition to engineers and scholars; (2) current distinct step by step algorithms that keep on with from a thought; (3) speak about their merits and disadvantages, components of applicability, provide strategies and examples.

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Read e-book online Introduction to Global Optimization Exploiting Space-Filling PDF

By Yaroslav D. Sergeyev

ISBN-10: 1461480418

ISBN-13: 9781461480419

ISBN-10: 1461480426

ISBN-13: 9781461480426

Introduction to international Optimization Exploiting Space-Filling Curves offers an outline of classical and new effects referring to the use of space-filling curves in international optimization. The authors examine a relations of derivative-free numerical algorithms making use of space-filling curves to minimize the dimensionality of the worldwide optimization challenge; besides a few unconventional principles, comparable to adaptive recommendations for estimating Lipschitz consistent, balancing international and native info to speed up the hunt. Convergence stipulations of the defined algorithms are studied intensive and theoretical concerns are illustrated via numerical examples. This paintings additionally features a code for enforcing space-filling curves that may be used for developing new international optimization algorithms. simple principles from this article should be utilized to a few difficulties together with issues of multiextremal and partly outlined constraints and non-redundant parallel computations could be geared up. Professors, scholars, researchers, engineers, and different execs within the fields of natural arithmetic, nonlinear sciences learning fractals, operations learn, administration technological know-how, business and utilized arithmetic, laptop technological know-how, engineering, economics, and the environmental sciences will locate this identify important . ​

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