Conditions and conditioning, stability and stabilization

R.M.M. Mattheij

doi:10.1016/0096-3003(89)90138-0

Conditions and conditioning, stability and stabilization

R.M.M. Mattheij

Scientific Computing

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

An overview is given of several concepts that are useful when dealing with numerical BVP. In particular a generalisation of the well-conditioning concept for nonlinear problems is considered. This is done to be able to investigate a class of second order scalar nonlinear problems. A detailed study of the solution structure is made for this class. The results are applied to two specific problems (Korteweg-de Vries and Burgers) and a way is indicated to stabilize these (ill-posed) BVP.

Original language	English
Pages (from-to)	538-554
Journal	Applied Mathematics and Computation
Volume	31
DOIs	https://doi.org/10.1016/0096-3003(89)90138-0
Publication status	Published - 1989

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title = "Conditions and conditioning, stability and stabilization",

abstract = "An overview is given of several concepts that are useful when dealing with numerical BVP. In particular a generalisation of the well-conditioning concept for nonlinear problems is considered. This is done to be able to investigate a class of second order scalar nonlinear problems. A detailed study of the solution structure is made for this class. The results are applied to two specific problems (Korteweg-de Vries and Burgers) and a way is indicated to stabilize these (ill-posed) BVP.",

author = "R.M.M. Mattheij",

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AB - An overview is given of several concepts that are useful when dealing with numerical BVP. In particular a generalisation of the well-conditioning concept for nonlinear problems is considered. This is done to be able to investigate a class of second order scalar nonlinear problems. A detailed study of the solution structure is made for this class. The results are applied to two specific problems (Korteweg-de Vries and Burgers) and a way is indicated to stabilize these (ill-posed) BVP.

U2 - 10.1016/0096-3003(89)90138-0

DO - 10.1016/0096-3003(89)90138-0

M3 - Article

SN - 0096-3003

VL - 31

SP - 538

EP - 554

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Conditions and conditioning, stability and stabilization

Abstract

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