Numerical Models for Differential Problems

Nonfiction, Science & Nature, Mathematics, Number Systems, Mathematical Analysis
Cover of the book Numerical Models for Differential Problems by Alfio Quarteroni, Springer Milan
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alfio Quarteroni ISBN: 9788847055223
Publisher: Springer Milan Publication: April 25, 2014
Imprint: Springer Language: English
Author: Alfio Quarteroni
ISBN: 9788847055223
Publisher: Springer Milan
Publication: April 25, 2014
Imprint: Springer
Language: English

In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.

More books from Springer Milan

Cover of the book Brain Tumors by Alfio Quarteroni
Cover of the book From Total Quality Control to Lean Six Sigma by Alfio Quarteroni
Cover of the book Perioperative and Critical Care Medicine by Alfio Quarteroni
Cover of the book Cardiac Arrhythmias 1995 by Alfio Quarteroni
Cover of the book Genetic Cardiomyopathies by Alfio Quarteroni
Cover of the book Trauma Surgery by Alfio Quarteroni
Cover of the book Solved Problems in Quantum and Statistical Mechanics by Alfio Quarteroni
Cover of the book Lunar Domes by Alfio Quarteroni
Cover of the book The Respiratory System in Equations by Alfio Quarteroni
Cover of the book From Basic Immunology to Immune-Mediated Demyelination by Alfio Quarteroni
Cover of the book Metabolism and Artificial Nutrition in the Critically Ill by Alfio Quarteroni
Cover of the book Treatment of Esophageal and Hypopharingeal Squamous Cell Carcinoma by Alfio Quarteroni
Cover of the book Contrast Echocardiography in Clinical Practice by Alfio Quarteroni
Cover of the book Chlamydia Pneumoniae Infection by Alfio Quarteroni
Cover of the book What's New in Surgical Oncology by Alfio Quarteroni
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy