Randall J. LeVeque - Böcker
Visar alla böcker från författaren Randall J. LeVeque. Handla med fri frakt och snabb leverans.
5 produkter
5 produkter
Del 31 - Cambridge Texts in Applied Mathematics
Finite Volume Methods for Hyperbolic Problems
Häftad, Engelska, 2002
906 kr
Skickas inom 7-10 vardagar
This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.
704 kr
Skickas inom 7-10 vardagar
This book addresses an important class of mathematical problems (the Riemann problem) for first-order hyperbolic partial differential equations (PDEs), which arise when modeling wave propagation in applications such as fluid dynamics, traffic flow, acoustics, and elasticity.It covers the fundamental ideas related to classical Riemann solutions, including their special structure and the types of waves that arise, as well as the ideas behind fast approximate solvers for the Riemann problem.The emphasis is on the general ideas, but each chapter delves into a particular application. The book is available in electronic form as a collection of Jupyter notebooks that contain executable computer code and interactive figures and animations.
Computational Methods for Astrophysical Fluid Flow
Saas-Fee Advanced Course 27. Lecture Notes 1997 Swiss Society for Astrophysics and Astronomy
Inbunden, Engelska, 1998
1 064 kr
Skickas inom 10-15 vardagar
This book leads directly to the most modern numerical techniques for compressible fluid flow, with special consideration given to astrophysical applications. Emphasis is put on high-resolution shock-capturing finite-volume schemes based on Riemann solvers. The applications of such schemes, in particular the PPM method, are given and include large-scale simulations of supernova explosions by core collapse and thermonuclear burning and astrophysical jets. Parts two and three treat radiation hydrodynamics. The power of adaptive (moving) grids is demonstrated with a number of stellar-physical simulations showing very crispy shock-front structures.
Computational Methods for Astrophysical Fluid Flow
Saas-Fee Advanced Course 27. Lecture Notes 1997 Swiss Society for Astrophysics and Astronomy
Häftad, Engelska, 2010
1 064 kr
Skickas inom 10-15 vardagar
This book leads directly to the most modern numerical techniques for compressible fluid flow, with special consideration given to astrophysical applications. Emphasis is put on high-resolution shock-capturing finite-volume schemes based on Riemann solvers. The applications of such schemes, in particular the PPM method, are given and include large-scale simulations of supernova explosions by core collapse and thermonuclear burning and astrophysical jets. Parts two and three treat radiation hydrodynamics. The power of adaptive (moving) grids is demonstrated with a number of stellar-physical simulations showing very crispy shock-front structures.
482 kr
Skickas inom 10-15 vardagar
These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Pa rt 1 deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, a detailed description of the wave structure of solutions to the Riemann problem. The emphasis is on tools and techniques that are indispensible in developing good numerical methods for discontinuous solutions. Part 2 is devoted to the development of high resolution shock-capturing methods, including the theory of total variation diminishing (TDV) methods and the use of limiter functions. This book is intended for a wide audience and should be of use both to numerical analysts and to computational researchers in a variety of applications.