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Advances in AnalysisThe Legacy of Elias M. Stein

Advances in Analysis: The Legacy of Elias M. Stein

Charles Fefferman, Alexandru D. Ionescu, D.H. Phong, and Stephen Wainger

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691159416
eISBN:
9781400848935
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691159416.001.0001
Subject:
Mathematics, Numerical Analysis

Princeton University's Elias Stein was the first mathematician to see the profound interconnections that tie classical Fourier analysis to several complex variables and representation theory. His ... More

Classification of Pseudo-reductive Groups (AM-191)

Classification of Pseudo-reductive Groups (AM-191)

Brian Conrad and Gopal Prasad

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691167923
eISBN:
9781400874026
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691167923.001.0001
Subject:
Mathematics, Numerical Analysis

This book goes further than the exploration of the general structure of pseudo-reductive groups to study the classification over an arbitrary field. An Isomorphism Theorem proved here determines the ... More

Direct Methods for Sparse Matrices

Direct Methods for Sparse Matrices

I. S. Duff, A. M. Erisman, and J. K. Reid

Published in print:
2017
Published Online:
April 2017
ISBN:
9780198508380
eISBN:
9780191746420
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508380.001.0001
Subject:
Mathematics, Numerical Analysis

Direct Methods for Sparse Matrices, second edition, is a complete rewrite of the first edition published 30 years ago. Much has changed since that time. Problems have grown greatly in size and ... More

Feynman's Operational Calculus and BeyondNoncommutativity and Time-Ordering

Feynman's Operational Calculus and Beyond: Noncommutativity and Time-Ordering

Gerald W Johnson, Michel L. Lapidus, and Lance Nielsen

Published in print:
2015
Published Online:
September 2015
ISBN:
9780198702498
eISBN:
9780191772160
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198702498.001.0001
Subject:
Mathematics, Mathematical Physics, Numerical Analysis

This book provides an abstract theory of Feynman’s operational calculus for functions of (typically) noncommuting operators. Although it is inspired by Feynman’s original heuristic suggestions and ... More

Finite Element Methods for Maxwell's Equations

Finite Element Methods for Maxwell's Equations

Peter Monk

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198508885
eISBN:
9780191708633
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508885.001.0001
Subject:
Mathematics, Numerical Analysis

Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell’s equations is now an increasingly important tool in science and ... More

Finite Elements and Fast Iterative Solverswith Applications in Incompressible Fluid Dynamics

Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics

Howard Elman, David Silvester, and Andy Wathen

Published in print:
2014
Published Online:
September 2014
ISBN:
9780199678792
eISBN:
9780191780745
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199678792.001.0001
Subject:
Mathematics, Numerical Analysis, Computational Mathematics / Optimization

The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow. The first part (Chapters 1 through 5) covers the ... More

Hangzhou Lectures on Eigenfunctions of the Laplacian (AM-188)

Hangzhou Lectures on Eigenfunctions of the Laplacian (AM-188)

Christopher D. Sogge

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691160757
eISBN:
9781400850549
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691160757.001.0001
Subject:
Mathematics, Numerical Analysis

Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. The book gives a proof of the sharp Weyl ... More

Numerical Methods for Delay Differential Equations

Numerical Methods for Delay Differential Equations

Alfredo Bellen and Marino Zennaro

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506546
eISBN:
9780191709609
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506546.001.0001
Subject:
Mathematics, Numerical Analysis

The main purpose of the book is to introduce the numerical integration of the Cauchy problem for delay differential equations (DDEs) and of the neutral type. Comparisons between DDEs and ordinary ... More

Numerical Methods for Structured Markov Chains

Numerical Methods for Structured Markov Chains

Dario A. Bini, Guy Latouche, and Beatrice Meini

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198527688
eISBN:
9780191713286
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527688.001.0001
Subject:
Mathematics, Numerical Analysis

The book deals with the numerical solution of structured Markov chains which include M/G/1 and G/M/1-type Markov chains, QBD processes, non-skip-free queues, and tree-like stochastic processes and ... More

A Posteriori Error Estimation Techniques for Finite Element Methods

A Posteriori Error Estimation Techniques for Finite Element Methods

Rüdiger Verfürth

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199679423
eISBN:
9780191758485
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199679423.001.0001
Subject:
Mathematics, Applied Mathematics, Numerical Analysis

Self-adaptive discretization methods nowadays are an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to ... More

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