Fundamentals of Scientific Computing [recurso electrónico] / by Bertil Gustafsson.

Por: Gustafsson, Bertil [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: Texto

TextoSeries Texts in Computational Science and Engineering ; 8Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: XIV, 326 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642194955Tema(s): Mathematics | Computer simulation | Biology -- Data processing | Computer science -- Mathematics | Computer science | Engineering mathematics | Mathematics | Computational Mathematics and Numerical Analysis | Computational Science and Engineering | Computer Appl. in Life Sciences | Appl.Mathematics/Computational Methods of Engineering | Numerical and Computational Physics | Simulation and ModelingFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 518 | 518 Clasificación LoC:QA71-90Recursos en línea: Libro electrónico Texto

Contenidos:

Part I Models and elementary mathematics -- Part II Fundamentals in numerical analysis -- Part III Numerical methods for differential equations -- Part IV Numerical methods for algebraic equations -- Part V Applications -- References -- Index.

En: Springer eBooksResumen: The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB .

Existencias ( 1 )
Notas de título ( 3 )

Existencias
Tipo de ítem	Biblioteca actual	Colección	Signatura	Copia número	Estado	Fecha de vencimiento	Código de barras
Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QA71 -90 (Browse shelf(Abre debajo))	1	No para préstamo		375860-2001

The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB .