%0 Book Section %1 spence1999numerical %A Spence, Alastair %A Graham, Ivan G. %B The Graduate Student's Guide to Numerical Analysis '98: Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis %C Berlin, Heidelberg %D 1999 %E Ainsworth, Mark %E Levesley, Jeremy %E Marletta, Marco %I Springer Berlin Heidelberg %K 34c23-odes-bifurcation 47j25-nonlinear-operators-iterative-procedures 65h10-systems-of-nonlinear-algebraic-equations 65h17-nonlinear-algebraic-transcendental-equations-eigenvalues-eigenvectors 65j05-numerical-analysis-in-abstract-spaces 65j15-numerical-analysis-nonlinear-operators %P 177--216 %R 10.1007/978-3-662-03972-4_5 %T Numerical Methods for Bifurcation Problems %U https://doi.org/10.1007/978-3-662-03972-4_5 %X This set of lecture notes provides an introduction to the numerical solution of bifurcation problems. The lectures are pitched at UK MSc level and the theory is given for finite dimensional operators --- so we shall require only matrix theory, finite dimensional calculus, etc. Only the basic principles for three of the most common bifurcations will be discussed, but the hope is that after reading these notes a student should be able to tackle the original journal papers. Almost all the results extend to infinite dimensional operators defined in an appropriate setting, e.g. Banach or Hilbert Spaces. %@ 978-3-662-03972-4

@inbook{spence1999numerical, abstract = {This set of lecture notes provides an introduction to the numerical solution of bifurcation problems. The lectures are pitched at UK MSc level and the theory is given for finite dimensional operators --- so we shall require only matrix theory, finite dimensional calculus, etc. Only the basic principles for three of the most common bifurcations will be discussed, but the hope is that after reading these notes a student should be able to tackle the original journal papers. Almost all the results extend to infinite dimensional operators defined in an appropriate setting, e.g. Banach or Hilbert Spaces.}, added-at = {2020-08-11T03:19:57.000+0200}, address = {Berlin, Heidelberg}, author = {Spence, Alastair and Graham, Ivan G.}, biburl = {https://www.bibsonomy.org/bibtex/213db0395797074d2983b67a50ac31aef/gdmcbain}, booktitle = {The Graduate Student's Guide to Numerical Analysis '98: Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis}, description = {Numerical Methods for Bifurcation Problems | SpringerLink}, doi = {10.1007/978-3-662-03972-4_5}, editor = {Ainsworth, Mark and Levesley, Jeremy and Marletta, Marco}, interhash = {7f7bbe2cf1a516ee9da99ee046b1b0d9}, intrahash = {13db0395797074d2983b67a50ac31aef}, isbn = {978-3-662-03972-4}, keywords = {34c23-odes-bifurcation 47j25-nonlinear-operators-iterative-procedures 65h10-systems-of-nonlinear-algebraic-equations 65h17-nonlinear-algebraic-transcendental-equations-eigenvalues-eigenvectors 65j05-numerical-analysis-in-abstract-spaces 65j15-numerical-analysis-nonlinear-operators}, pages = {177--216}, publisher = {Springer Berlin Heidelberg}, timestamp = {2020-08-11T03:22:37.000+0200}, title = {Numerical Methods for Bifurcation Problems}, url = {https://doi.org/10.1007/978-3-662-03972-4_5}, year = 1999 }