Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler problems that can be analyzed separately. In this book one studies operator splitting for a family of nonlinear evolution equations, including hyperbolic conservation laws and degenerate convection-diffusion equations. Common for these equations is the prevalence of rough, or non-smooth, solutions, e.g., shocks.
%0 Book
%1 citeulike:13672732
%A Holden, Helge
%A Karlsen, Kenneth H.
%A Lie, Knut-Andreas
%A Risebro, Nils H.
%B Splitting Methods for Partial Differential Equations with Rough Solutions : Analysis and MATLAB Programs
%D 2010
%I European Mathematical Society
%K 47e05-ordinary-differential-operators
%P 1--17
%R 10.4171/078
%T Introduction
%U http://www.math.ntnu.no/operatorsplitting
%X Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler problems that can be analyzed separately. In this book one studies operator splitting for a family of nonlinear evolution equations, including hyperbolic conservation laws and degenerate convection-diffusion equations. Common for these equations is the prevalence of rough, or non-smooth, solutions, e.g., shocks.
%& 1
%@ 9783037190784
@book{citeulike:13672732,
abstract = {{Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler problems that can be analyzed separately. In this book one studies operator splitting for a family of nonlinear evolution equations, including hyperbolic conservation laws and degenerate convection-diffusion equations. Common for these equations is the prevalence of rough, or non-smooth, solutions, e.g., shocks.}},
added-at = {2017-06-29T07:13:07.000+0200},
author = {Holden, Helge and Karlsen, Kenneth H. and Lie, Knut-Andreas and Risebro, Nils H.},
biburl = {https://www.bibsonomy.org/bibtex/204d13ba3f69541d99952bd2da0696137/gdmcbain},
booktitle = {Splitting Methods for Partial Differential Equations with Rough Solutions : Analysis and {MATLAB} Programs},
chapter = 1,
citeulike-article-id = {13672732},
citeulike-attachment-1 = {holden_10_introduction_1026087.pdf; /pdf/user/gdmcbain/article/13672732/1026087/holden_10_introduction_1026087.pdf; e02e6986ee7d73adee637dc3ae8d76e034f01766},
citeulike-linkout-0 = {http://dx.doi.org/10.4171/078},
citeulike-linkout-1 = {http://www.math.ntnu.no/operatorsplitting},
doi = {10.4171/078},
file = {holden_10_introduction_1026087.pdf},
interhash = {f4ad537f84fb44bd5b1b9f531a79bb32},
intrahash = {04d13ba3f69541d99952bd2da0696137},
isbn = {9783037190784},
keywords = {47e05-ordinary-differential-operators},
pages = {1--17},
posted-at = {2015-07-15 01:14:53},
priority = {0},
publisher = {European Mathematical Society},
series = {EMS Series of Lectures in Mathematics},
timestamp = {2017-06-29T07:13:07.000+0200},
title = {{Introduction}},
url = {http://www.math.ntnu.no/operatorsplitting},
year = 2010
}