Lectures on numerical methods in bifurcation problems

Author(s)

• Keller, Herbert Bishop

Bibliographic Information

Lectures on numerical methods in bifurcation problems

by H.B. Keller

（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

Other Title

Numerical methods in bifurcation problems

Note

"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."

Description and Table of Contents

Description

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.

by "Nielsen BookData"

Details

• NCID: BA03676972
• ISBN:
  • 3540183671
  • 0387183671
• Country Code: ii
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Bombay,Berlin ; Tokyo
• Pages/Volumes: iv, 155 p.
• Size: 24 cm
• Parent Bibliography ID:
  • BA00334575