Lectures on numerical methods in bifurcation problems
著者
書誌事項
Lectures on numerical methods in bifurcation problems
（Lectures on mathematics and physics, . Mathematics ; 79）
Tata Institute of Fundamental Research , Published for the Tata Institute of Fundamental research [by] Springer-Verlag, 1987
- : gw
- : us
- タイトル別名
-
Numerical methods in bifurcation problems
大学図書館所蔵 件 / 全55件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"Lectures delivered at the Indian Institute of Science, Bangalore under the T.I.F.R. - I.I.Sc. Programme in Applications of Mathematics. Notes by A.K. Nandakumaran and Mythily Ramaswamy."
内容説明・目次
内容説明
These lectures introduce the modern theory and practical numerical methods for continuation of solutions of nonlinear problems depending upon parameters. Bifurcations are one of the many types of singularities that occur along such solution paths and their computation and methods for switching branches are treated. Homotopy methods and degree theory are introduced as are global Newton methods, constructive determination of Brouwer fixed points, periodic solutions of O.D.E.s, Hopf bifurcations, etc. The treatment is elementary and basic. Advanced calculus and linear algebra are sufficient to understand almost all of the material. A chapter showing applications and numerical methods for nonlinear O.D.E.s is included.
「Nielsen BookData」 より
