Kategoria BISAC: Mathematics >> Counting & Numeration

A website's ranking on Google can spell the difference between success and failure for a new business. NCAA football ratings determine which schools get to play for the big money in postseason bowl games. Product ratings influence everything from the clothes we wear to the movies we select on Netflix. Ratings and rankings are everywhere, but how exactly do they work? Who's #1? offers an engaging and accessible account of how scientific rating and ranking methods are created and applied to a variety of uses.

Amy Langville and Carl Meyer provide the first comprehensive...

This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. Notable inclusions are the treatment of irregularly shaped boundaries, polar coordinates and the use of flux-limiters when approximating hyperbolic conservation laws. The numerical analysis of difference schemes is rigorously developed using discrete maximum principles and discrete Fourier...

This book offers unique insight on structural safety and reliability by combining computational methods that address multiphysics problems, involving multiple equations describing different physical phenomena and multiscale problems, involving discrete sub-problems that together describe important aspects of a system at multiple scales. The book examines a range of engineering domains and problems using dynamic analysis, nonlinear methods, error estimation, finite element analysis and other computational techniques.

This book also:

- Introduces novel numerical methods

-...

Which One Doesn't Belong? has won the Mathical Book Prize, which will be presented to Christopher Danielson at the National Math Festival in Washington, DC on April 22, 2017. The Mathical Book Prize is an annual award for fiction and nonfiction books that inspire children of all ages to see math in the world around them.

Every colorful page of Christopher Danielson's children's picture book, Which One Doesn't Belong?, contains a...

Christoph Lohmann beschaftigt sich mit numerischen Verfahren fur die Fokker-Planck-Gleichung. Ausgehend von einer Fourierapproximation leitet er notwendige Bedingungen fur die Nichtnegativitat der Wahrscheinlichkeitsdichte und positive Semidefinitheit zugehoriger Orientierungstensoren her. Unter Verwendung dieser Bedingungen entwickelt der Autor neuartige Korrekturtechniken fur die Fourierkoeffizienten, die zu einer genauen und physikkonformen Approximation der Orientierungstensoren fuhren.

Sascha Trubelhorn befasst sich mit der effizienten numerischen Berechnung stationarer Zustande von parameterabhangigen reibungsfreien Fluidstromungen. Zur Auflosung der bei solchen hyperbolischen Problemen typischerweise auftretenden Unstetigkeiten werden besonders feine raumliche Gitter benotigt, welche in Verbindung mit einem impliziten Pseudozeitintegrationsverfahren viel Rechenleistung erfordern, insbesondere, wenn viele Testserien zur Abdeckung der eingehenden Parameterraume durchgefuhrt werden sollen. Der Autor zeigt, wie dieser hohe Aufwand durch den Einsatz von Reduced-Order Models...

This textbook deals with the numerical solution of initial and boundary value problems for ordinary differential equations. It takes the reader directly to the practically proven methods from their theoretical foundation via their analysis to questions of implementation. The textbook contains a wealth of exercises together with numerous application examples. Sections of this third edition have been revised and it has been supplemented with MATLAB codes.