Download Python Scripting for Computational Science by Hans Petter Langtangen PDF

By Hans Petter Langtangen

The aim of this e-book is to coach computational scientists how one can increase adapted, versatile, and human-efficient operating environments outfitted from small courses (scripts) written within the easy-to-learn, high-level language Python. the focal point is on examples and functions of relevance to computational scientists: gluing current functions and instruments, e.g. for automating simulation, facts research, and visualization; guidance simulations and computational experiments; equipping previous courses with graphical person interfaces; making computational internet purposes; and developing interactive interfaces with a Maple/Matlab-like syntax to numerical purposes in C/C++ or Fortran. briefly, scripting with Python makes you even more effective, raises the reliability of your clinical paintings and allows you to have extra enjoyable - on Unix, home windows and Macintosh. the entire instruments and examples during this publication are open resource codes. The 3rd variation is appropriate with the recent NumPy implementation and contours up-to-date details, correction of mistakes, and more advantageous linked software program tools.

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Download Differential and Difference Equations through Computer by Hüseyin Kocak PDF

By Hüseyin Kocak

This is a just a little strange ebook with a twin function. First, it's a guide to aid readers use PRASER, this system at the accompanying diskette for mM own desktops. moment, it really is an illustrated consultant to the glorious international of experimental and theoretical dynamics, one that offers dozens of concrete examples starting from the main rudimentary, acceptable for the start pupil, to the hugely advanced, compatible for the study mathematician. earlier than indicating what PRASER does and the way it really works, allow me describe the way it got here a.bout. in the past decade the sector of differential and distinction equations has witnessed a striking explo­ sion of data, not just in conception but in addition in purposes to discip­ traces as varied as biology and fluid mechanics. desktops have performed a vital position during this approach via making attainable exact analyses of particular platforms. during this regard, one want purely point out the paintings of Lorenz on unusual attractors and the discoveries of Feigenbaum at the bifurcations of period maps.

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Download Numerische Mathematik 2: eine Einfuehrung by Josef Stoer, Roland Bulirsch PDF

By Josef Stoer, Roland Bulirsch

Dieses zweib?ndige Standardlehrbuch bietet einen umfassenden und aktuellen ?berblick ?ber die Numerische Mathematik. Dabei wird besonderer Wert auf solche Vorgehensweisen und Methoden gelegt, die sich durch gro?e Wirksamkeit auszeichnen. Ihr praktischer Nutzen, aber auch die Grenzen ihrer Anwendung werden vergleichend diskutiert. Zahlreiche Beispiele runden dieses unentbehrliche Buch ab. Die Neuauflage des zweiten Bandes wurde vollst?ndig ?berarbeitet und erg?nzt um eine Beschreibung weiterer Techniken im Rahmen der Mehrzielmethode zur L?sung von Randwertproblemen f?r Gew?hnliche Differentialgleichungen.

"Das Lehrbuch ... setzt Ma?st?be f?r eine Numerik-Vorlesung und ist jedem Studenten der angewandten Mathematik zu empfehlen." Die Neue Hochschule

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Download Symmetric Discontinuous Galerkin Methods for 1-D Waves: by Aurora Marica, Enrique Zuazua PDF

By Aurora Marica, Enrique Zuazua

This paintings describes the propagation homes of the so-called symmetric inside penalty discontinuous Galerkin (SIPG) approximations of the 1-d wave equation. this can be performed via linear approximations on uniform meshes. First, a cautious Fourier research is built, highlighting the coexistence of 2 Fourier spectral branches or spectral diagrams (physical and spurious) relating to the 2 parts of the numerical answer (averages and jumps). effective filtering mechanisms also are constructed through ideas formerly proved to be acceptable for classical schemes like finite variations or P1-classical finite parts. specifically, the paintings offers an evidence that the uniform observability estate is recovered uniformly by means of contemplating preliminary facts with null jumps and averages given by way of a bi-grid filtering set of rules. eventually, the ebook explains how those effects could be prolonged to different extra refined conforming and non-conforming finite point equipment, specifically to quadratic finite components, neighborhood discontinuous Galerkin tools and a model of the SIPG procedure including penalization at the general derivatives of the numerical resolution on the grid issues. This paintings is the 1st booklet to include a rigorous research of the discontinuous Galerkin equipment for wave keep watch over difficulties. it will likely be of curiosity to more than a few researchers focusing on wave approximations.

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Download Global Smoothness and Shape Preserving Interpolation by by Sorin G. Gal, George A. Anastassiou PDF

By Sorin G. Gal, George A. Anastassiou

This monograph examines and develops the worldwide Smoothness maintenance estate (GSPP) and the form maintenance estate (SPP) within the box of interpolation of services. The examine is built for the univariate and bivariate circumstances utilizing famous classical interpolation operators of Lagrange, Grünwald, Hermite-Fejér and Shepard kind. one of many first books at the topic, it offers attention-grabbing new effects alongwith a very good survey of previous research.

Key beneficial properties include:

- capability functions to info becoming, fluid dynamics, curves and surfaces, engineering, and computer-aided geometric design

- offers fresh paintings that includes many new fascinating effects in addition to a very good survey of earlier research

- many attention-grabbing open difficulties for destiny examine provided in the course of the text

- contains 20 very suggestive figures of 9 forms of Shepard surfaces pertaining to their form maintenance property

- widely used options of the proofs permit for simple software to acquiring related effects for different interpolation operators

This specified, well-written textual content is most fitted to graduate scholars and researchers in mathematical research, interpolation of features, natural and utilized mathematicians in numerical research, approximation idea, facts becoming, computer-aided geometric layout, fluid mechanics, and engineering researchers.

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Download Finite Elemente: Theorie, schnelle Löser und Anwendungen in by Dietrich Braess PDF

By Dietrich Braess

Bei der numerischen Behandlung partieller Differentialgleichungen treten oft ?berraschende Ph?nomene auf. Neben der z?gigen Behandlung der klassischen Theorie, die bis an die aktuellen Forschungsgebiete heranf?hrt, wird deshalb sehr viele Wert auf die Darstellung von Beispielen und Gegenbeispielen gelegt. Die Bespiele haben mit dazu beigetragen, dass das Buch jetzt zu den Standardwerken bei den Finiten Elementen z?hlt. Mit der dritten Auflage wurde eine Abrundung bei den Komplexen vorgenommen, deren Bedeutung in den letzten Jahren gewachsen sind: L 2-Projektionen in Verbindung mit den FE-L?sern, Fortin-Interpolation und Aufweicheffekte bei gemischten Elementen, Raumzerlegungen bei Mehrgitterverfahren und Locking-Effekte in der Festk?rpermechanik wurden st?rker eingebettet. Das Buch richtet sich an Studierende der Mathematik im three. und four. Studienjahr und in den sp?teren Kapiteln auch an junge Forscher, bei denen Finite Elemente im Mittelpunkt Ihrer Arbeit stehen.

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