Publications du Laboratoire Jacques-Louis Lions
Title | Publications du Laboratoire Jacques-Louis Lions PDF eBook |
Author | |
Publisher | |
Pages | 538 |
Release | 2006 |
Genre | Numerical analysis |
ISBN |
Publications du Laboratoire d'analyse numérique
Title | Publications du Laboratoire d'analyse numérique PDF eBook |
Author | |
Publisher | |
Pages | 260 |
Release | 2002 |
Genre | Numerical analysis |
ISBN |
Multiscale Problems and Methods in Numerical Simulations
Title | Multiscale Problems and Methods in Numerical Simulations PDF eBook |
Author | James H. Bramble |
Publisher | Springer |
Pages | 171 |
Release | 2003-12-10 |
Genre | Mathematics |
ISBN | 3540398104 |
This volume aims to disseminate a number of new ideas that have emerged in the last few years in the field of numerical simulation, all bearing the common denominator of the "multiscale" or "multilevel" paradigm. This covers the presence of multiple relevant "scales" in a physical phenomenon; the detection and representation of "structures", localized in space or in frequency, in the solution of a mathematical model; the decomposition of a function into "details" that can be organized and accessed in decreasing order of importance; and the iterative solution of systems of linear algebraic equations using "multilevel" decompositions of finite dimensional spaces.
An Introduction to Scientific Computing
Title | An Introduction to Scientific Computing PDF eBook |
Author | Ionut Danaila |
Publisher | Springer Nature |
Pages | 379 |
Release | 2023-11-06 |
Genre | Mathematics |
ISBN | 3031350324 |
This book demonstrates scientific computing by presenting twelve computational projects in several disciplines including Fluid Mechanics, Thermal Science, Computer Aided Design, Signal Processing and more. Each follows typical steps of scientific computing, from physical and mathematical description, to numerical formulation and programming and critical discussion of results. The text teaches practical methods not usually available in basic textbooks: numerical checking of accuracy, choice of boundary conditions, effective solving of linear systems, comparison to exact solutions and more. The final section of each project contains the solutions to proposed exercises and guides the reader in using the MATLAB scripts available online.
Fourier Analysis and Nonlinear Partial Differential Equations
Title | Fourier Analysis and Nonlinear Partial Differential Equations PDF eBook |
Author | Hajer Bahouri |
Publisher | Springer Science & Business Media |
Pages | 530 |
Release | 2011-01-03 |
Genre | Mathematics |
ISBN | 3642168302 |
In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schrödinger equations. It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations.
Entropy Methods for the Boltzmann Equation
Title | Entropy Methods for the Boltzmann Equation PDF eBook |
Author | Fraydoun Rezakhanlou |
Publisher | Springer |
Pages | 122 |
Release | 2007-12-22 |
Genre | Mathematics |
ISBN | 3540737057 |
Featuring updated versions of two research courses held at the Centre Émile Borel in Paris in 2001, this book describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields. It also discusses four conjectures for the kinetic behavior of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.
Applied and Numerical Partial Differential Equations
Title | Applied and Numerical Partial Differential Equations PDF eBook |
Author | W. Fitzgibbon |
Publisher | Springer Science & Business Media |
Pages | 252 |
Release | 2010-01-08 |
Genre | Science |
ISBN | 9048132398 |
Standing at the intersection of mathematics and scientific computing, this collection of state-of-the-art papers in nonlinear PDEs examines their applications to subjects as diverse as dynamical systems, computational mechanics, and the mathematics of finance.