WorldCat Identities

Trefethen, Lloyd N. (Lloyd Nicholas)

Overview
Works: 62 works in 173 publications in 1 language and 3,670 library holdings
Genres: Quotations  Miscellanea 
Roles: Thesis advisor, Teacher
Classifications: QA360, 516.36
Publication Timeline
Key
Publications about  Lloyd N Trefethen Publications about Lloyd N Trefethen
Publications by  Lloyd N Trefethen Publications by Lloyd N Trefethen
Most widely held works by Lloyd N Trefethen
Schwarz-Christoffel mapping by Tobin A Driscoll ( )
12 editions published in 2002 in English and held by 1,123 WorldCat member libraries worldwide
This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and its many applications. It is intended as an accessible resource for engineers, scientists, and applied mathematicians who may not have much prior experience with theoretical or computational conformal mapping techniques
Numerical linear algebra by Lloyd N Trefethen ( Book )
19 editions published between 1997 and 2000 in English and held by 595 WorldCat member libraries worldwide
A concise, insightful, and elegant introduction to the field of numerical linear algebra. Designed for use as a stand-alone textbook in a one-semester, graduate-level course in the topic, it has already been class-tested by MIT and Cornell graduate students from all fields of mathematics, engineering, and the physical sciences. The authors' clear, inviting style and evident love of the field, along with their eloquent presentation of the most fundamental ideas in numerical linear algebra, make it popular with teachers and students alike
Spectral methods in MATLAB by Lloyd N Trefethen ( Book )
16 editions published between 2000 and 2008 in English and held by 399 WorldCat member libraries worldwide
This is the only book on spectral methods built around MATLAB programs. Along with finite differences and finite elements, spectral methods are one of the three main technologies for solving partial differential equations on computers. Since spectral methods involve significant linear algebra and graphics they are very suitable for the high level programming of MATLAB. This hands-on introduction is built around forty short and powerful MATLAB programs, which the reader can download from the World Wide Web
Spectra and pseudospectra : the behavior of nonnormal matrices and operators by Lloyd N Trefethen ( Book )
6 editions published in 2005 in English and held by 361 WorldCat member libraries worldwide
"This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences."--BOOK JACKET
Approximation theory and approximation practice by Lloyd N Trefethen ( Book )
8 editions published between 2012 and 2013 in English and held by 106 WorldCat member libraries worldwide
Numerical conformal mapping ( Book )
6 editions published between 1985 and 1986 in English and held by 103 WorldCat member libraries worldwide
Stability of finite difference models containing two boundaries of interfaces by Lloyd N Trefethen ( Book )
1 edition published in 1984 in English and held by 79 WorldCat member libraries worldwide
A new direction in hydrodynamic stability beyond Eigenvalues by Institute for Computer Applications in Science and Engineering ( Book )
3 editions published in 1992 in English and held by 69 WorldCat member libraries worldwide
Fluid flows that are smooth at low speeds become unstable and then turbulent at higher speeds. This phenomenon has traditionally been investigated by linearizing the equations of flow and looking for unstable eigenvalues of the linearized problem, but the results agree poorly in many cases with experiments. Nevertheless, it has become clear in recent years that linear effects play a central role in hydrodynamic instability. A reconciliation of these findings with the traditional analysis can be obtained by considering the pseudospectra of the linearized problem, which reveals that small perturbations to the smooth flow in the form of streamwise vortices may be amplified by factors on the order of 105 by a linear mechanism, even though all the eigenmodes are stable. The same principles apply also to other problems in the mathematical sciences that involve non-orthogonal eigenfunctions ... Hydrodynamic stability, Transition to turbulence
Fourier analysis of the SOR iteration by Randall J LeVeque ( Book )
5 editions published in 1986 in English and held by 67 WorldCat member libraries worldwide
The SOR iteration for solving linear systems of equations depends upon an overrelaxation factor omega. We show that for the standard model problem of Poisson's equation on a rectangle, the optimal omega and corresponding convergence rate can be rigorously obtained by Fourier analysis. The trick is to tilt the space-time grid so that the SOR Successive overrelaxation stencil becomes symmetrical. The tilted grid also gives insight into the relation between convergence rates of several variants. Keywords: Successive overrelaxation,Iterative methods
Classical free-streamline flow over a polygonal obstacle by Institute for Computer Applications in Science and Engineering ( Book )
2 editions published in 1984 in English and held by 65 WorldCat member libraries worldwide
Well-posedness of one-way wave equations and absorbing boundary conditions by Lloyd N Trefethen ( Book )
3 editions published in 1985 in English and held by 59 WorldCat member libraries worldwide
Surface tension in fluid mechanics ( Visual )
4 editions published between 1970 and 1988 in English and held by 36 WorldCat member libraries worldwide
Presents a series of experiments to show that surfaces exert forces. Defines the fundamental boundary conditions governing the effects of these forces. Includes illustrations of nucleation, "wine tears," swimming bubbles, and high speed pictures of the breakup of water sheets and soap films
Wave propagation and stability for finite difference schemes by Lloyd N Trefethen ( )
5 editions published in 1982 in English and Undetermined and held by 13 WorldCat member libraries worldwide
This dissertation investigates the behavior of finite difference models of linear hyperbolic partial differential equations. Whereas a hyperbolic equation is nondispersive and nondissipative, difference models are invariably dispersive, and often dissipative too. We set about analyzing them by means of existing techniques from the theory of dispersive wave propagation, making extensive use in particular of the concept of group velocity, the velocity at which energy propagates. The first three chapters present a general analysis of wave propagation in difference models. We describe systematically the effects of dispersion on numerical errors, for both smooth and parasitic waves. The reflection and transmission of waves at boundaries and interfaces are then studied at length. The key point for this is a distinction introduced here between leftgoing and rightgoing signals, which is based not on the characteristics of the original equation, but on the group velocities of the numerical model. The last three chapters examine stability for finite difference models of initial boundary value problems
Fundamentals of complex analysis with applications to engineering and science by E. B Saff ( Book )
4 editions published in 2003 in English and held by 7 WorldCat member libraries worldwide
Special issue on numerical conformal mapping ( Book )
3 editions published in 1986 in English and held by 6 WorldCat member libraries worldwide
Trefethen's index cards forty years of notes about people, words and mathematics by Lloyd N Trefethen ( Book )
4 editions published in 2011 in English and held by 5 WorldCat member libraries worldwide
Pseudospectra of the convection-diffusion operator by Satish C Reddy ( Book )
2 editions published in 1993 in English and held by 5 WorldCat member libraries worldwide
Abstract: "The spectrum of the simplest ID convection-diffusion operator is a discrete subset of the negative real axis, but the pseudospectra are regions in the complex plane that approximate parabolas. Put another way, the norm of the resolvent is exponentially large as a function of the Péclet number throughout a certain parabolic region. These observations have a simple physical basis, and suggest that conventional spectral analysis for convection-diffusion operators may be of limited value in some applications."
Finite difference and spectral methods for ordinary and partial differential equations by Lloyd N Trefethen ( Book )
3 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
GMRES/CR and Arnoldi/Lanczos as matrix approximation problems by Anne Greenbaum ( )
2 editions published in 1992 in English and held by 4 WorldCat member libraries worldwide
Pseudospectra of linear operators by Lloyd N Trefethen ( )
2 editions published in 1995 in English and held by 4 WorldCat member libraries worldwide
 
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Audience Level
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Audience level: 0.62 (from 0.10 for Trefethen, ... to 0.96 for GMRES/CR a ...)
Alternative Names
Trefethen, L. N. 1955-
Trefethen, Lloyd 1955-
Trefethen, Lloyd N.
Trefethen, Lloyd Nicholas 1955-
Trefethen, Nick
Trefethen, Nick 1955-
Languages
English (114)
Covers