WorldCat Identities

Trefethen, Lloyd N. (Lloyd Nicholas)

Overview
Works: 89 works in 241 publications in 1 language and 4,508 library holdings
Genres: Quotations  Miscellanea  Science films 
Roles: Author, Thesis advisor, Editor, Teacher
Classifications: QA300, 512.5
Publication Timeline
.
Most widely held works about Lloyd N Trefethen
 
Most widely held works by Lloyd N Trefethen
Numerical linear algebra by Lloyd N Trefethen( Book )

22 editions published between 1997 and 2000 in English and held by 577 WorldCat member libraries worldwide

An introduction to the field of numerical linear algebra. It aims to present the core, standard material in a novel way. Topics include iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability
Spectra and pseudospectra : the behavior of nonnormal matrices and operators by Lloyd N Trefethen( Book )

8 editions published in 2005 in English and held by 369 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."--Jacket
Spectral methods in MATLAB by Lloyd N Trefethen( Book )

17 editions published between 2000 and 2008 in English and held by 349 WorldCat member libraries worldwide

Mathematics of Computing -- Numerical Analysis
Schwarz-Christoffel mapping by Tobin A Driscoll( Book )

15 editions published in 2002 in English and held by 237 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 many applications in fields such as electromagnetism, fluid flow, design and inverse problems, and the solution of linear systems of equations. As a modern treatment of this subject, it is an accessible resource for engineers, scientists, and applied mathematicians who seek more experience with theoretical or computational conformal mapping techniques."--Jacket
Approximation theory and approximation practice by Lloyd N Trefethen( Book )

11 editions published between 2012 and 2013 in English and held by 149 WorldCat member libraries worldwide

Numerical conformal mapping by Lloyd N Trefethen( Book )

8 editions published between 1985 and 1986 in English and held by 102 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 84 WorldCat member libraries worldwide

Surface tension in fluid mechanics( Visual )

11 editions published between 1967 and 2005 in English and held by 83 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
A new direction in hydrodynamic stability beyond Eigenvalues( Book )

2 editions published in 1992 in English and held by 74 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 )

3 editions published in 1986 in English and held by 71 WorldCat member libraries worldwide

Classical free-streamline flow over a polygonal obstacle by Alan R Elcrat( Book )

2 editions published in 1984 in English and held by 70 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 67 WorldCat member libraries worldwide

Fundamentals of complex analysis for mathematics, science, and engineering by E. B Saff( Book )

8 editions published between 1993 and 2003 in English and held by 14 WorldCat member libraries worldwide

Wave propagation and stability for finite difference schemes by Lloyd N Trefethen( Book )

6 editions published in 1982 in English and Undetermined and held by 13 WorldCat member libraries worldwide

Pseudospectra of the convection-diffusion operator by Satish C Reddy( Book )

3 editions published in 1993 in English and held by 6 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."
The definition of numerical analysis by Lloyd N Trefethen( Book )

3 editions published in 1992 in English and held by 5 WorldCat member libraries worldwide

This is a brief essay discussing perceptions and misperceptions of numerical analysis. A common misperception is that numerical analysis is the study of rounding errors. Even numerical analysts have been misled by this view
Special issue on numerical conformal mapping( Book )

2 editions published in 1986 in English and held by 5 WorldCat member libraries worldwide

Trefethen's index cards : forty years of notes about people, words and mathematics by Lloyd N Trefethen( Book )

6 editions published in 2011 in English and held by 4 WorldCat member libraries worldwide

GMRES/CR and Arnoldi/Lanczos as matrix approximation problems by Anne Greenbaum( Book )

3 editions published in 1992 in English and held by 3 WorldCat member libraries worldwide

Pseudospectra of linear operators by Lloyd N Trefethen( Book )

3 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide

 
moreShow More Titles
fewerShow Fewer Titles
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.56 (from 0.02 for Trefethen' ... to 0.99 for Trefethen, ...)

Numerical linear algebra
Alternative Names
Lloyd N. Trefethen amerikansk matematikar

Lloyd N. Trefethen amerikansk matematiker

Lloyd N. Trefethen mathmaticien amricain

Lloyd Nicholas Trefethen

Lloyd Nicholas Trefethen US-amerikanischer Mathematiker

Trefethen, L. 1955-

Trefethen, L. N. 1955-

Trefethen, Lloyd 1955-

Trefethen, Lloyd N.

Trefethen, Lloyd Nicholas 1955-

Trefethen, N. 1955-

Trefethen, Nick

Trefethen, Nick 1955-

Languages
English (141)

Covers
Spectra and pseudospectra : the behavior of nonnormal matrices and operatorsSpectral methods in MATLABSchwarz-Christoffel mappingFundamentals of complex analysis for mathematics, science, and engineeringTrefethen's index cards : forty years of notes about people, words and mathematics