Title | Numerical Boundary Value ODEs [electronic resource] : Proceedings of an International Workshop, Vancouver, Canada, July 10-13, 1984 / edited by Uri M. Ascher, Robert D. Russell |
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Imprint | Boston, MA : Birkhรคuser Boston, 1985 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-5160-6 |
Descript | XII, 318 p. online resource |
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 (โstiffโ) 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