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Numerical Boundary Value ODEs
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Numerical Boundary Value ODEs Proceedings of an International Workshop, Vancouver, Canada, July 10–13, 1984 / by Ascher, Russell.
Saved in:
書目詳細資料
Main Authors:
Ascher
(Author)
,
Russell
(Author)
企業作者:
SpringerLink (Online service)
格式:
電子書
語言:
English
出版:
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
1985.
版:
1st ed. 1985.
叢編:
Progress in Scientific Computing ;
5
Springer eBook Collection.
主題:
Numerical analysis.
Differential equations.
Computer mathematics.
Electronic resources (E-books)
在線閱讀:
Click to view e-book
Holy Cross Note:
Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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書本目錄:
I. Conditioning, dichotomy and related numerical considerations
A unified view of some recent developments in the numerical solution of BVODEs
The role of conditioning in shooting techniques
On non-invertible boundary value problems
Riccati transformations: When and how to use?
Discretizations with dichotomic stability for two-point boundary value problems
II. Implementation aspects of various methods
Improving the performance of numerical methods for two-point boundary value problems
Reducing the number of variational equations in the implementation of multiple shooting
The spline-collocation and the spline-Galerkin methods for Orr-Sommerfeld problem
III. Singular perturbation (‘stiff’) problems
On the simultaneous use of asymptotic and numerical methods to solve nonlinear two-points problems with boundary and interior layers
Two families of symmetric difference schemes for singular perturbation problems
A numerical method for singular perturbation problems with turning points
Numerical solution of singular perturbed boundary value problems using a collocation method with tension splines
IV. Bifurcation problems and delay differential equations
Solving boundary value problems for functional differential equations by collocation
The approximation of simple singularities
Calculating the loss of stability by transient methods, with application to parabolic partial differential equations
A Runge-Kutta-Nystrom method for delay differential equations
V. Special applications
A finite difference method for the basic stationary semiconductor device equations
Solution of premixed and counterflow diffusion flame problems by adaptive boundary value methods.
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