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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


The Standard Approach via Continuous ODE Methods

Alfredo Bellen and Marino Zennaro

in Numerical Methods for Delay Differential Equations

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198506546
eISBN:
9780191709609
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198506546.003.0004
Subject:
Mathematics, Numerical Analysis

This chapter focuses on the error and convergence analysis of the technique based on the use of a discrete method for ODEs endowed with some continuous extension, which is called the standard ... More


Simulations with the Hybrid Monte Carlo algorithm: implementation and data analysis

Stefan Schaefer

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199691609
eISBN:
9780191731792
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691609.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This tutorial gives a practical introduction to the Hybrid Monte Carlo algorithm and the analysis of Monte Carlo data. The method is exemplified at the ϕ 4 theory, for which all steps from the ... More


What I Learned Losing a Million Dollars

Jim Paul and Brendan Moynihan

Published in print:
2013
Published Online:
November 2015
ISBN:
9780231164689
eISBN:
9780231535236
Item type:
book
Publisher:
Columbia University Press
DOI:
10.7312/columbia/9780231164689.001.0001
Subject:
Business and Management, Finance, Accounting, and Banking

The author's meteoric rise took him from a small town in Northern Kentucky to governor of the Chicago Mercantile Exchange, yet he lost it all—his fortune, his reputation, and his job—in one fatal ... More


The Navier–Stokes Equations

Howard C. Elman, David J. Silvester, and Andrew J. Wathen

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

Published in print:
2014
Published Online:
September 2014
ISBN:
9780199678792
eISBN:
9780191780745
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199678792.003.0009
Subject:
Mathematics, Numerical Analysis, Computational Mathematics / Optimization

This chapter concerns the statement and properties of the steady Navier–Stokes equations and the corresponding weak formulation. This includes discussion of stability theory, bifurcation and ... More


Other sparsity-oriented issues

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

in Direct Methods for Sparse Matrices

Published in print:
2017
Published Online:
April 2017
ISBN:
9780198508380
eISBN:
9780191746420
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508380.003.0015
Subject:
Mathematics, Numerical Analysis

We consider solving a problem that is closely related to one that we have previously solved or whose parts have previously been solved. We study backward error analysis for sparse problems, obtaining ... More


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