On the conditioning of multipoint and integral boundary value problems

F.R. Hoog, de; R.M.M. Mattheij

doi:10.1137/0520016

On the conditioning of multipoint and integral boundary value problems

F.R. Hoog, de, R.M.M. Mattheij

Scientific Computing

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Abstract

Linear multipoint boundary value problems are investigated from the point of view of the condition number and properties of the fundamental solution. It is found that when the condition number is not large, the solution space is polychotomic. On the other hand, if the solution space is polychotomic then there exist boundary conditions such that the associated boundary value problem is well conditioned.

Original language	English
Pages (from-to)	200-214
Journal	SIAM Journal on Mathematical Analysis
Volume	20
Issue number	1
DOIs	https://doi.org/10.1137/0520016
Publication status	Published - 1989

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title = "On the conditioning of multipoint and integral boundary value problems",

abstract = "Linear multipoint boundary value problems are investigated from the point of view of the condition number and properties of the fundamental solution. It is found that when the condition number is not large, the solution space is polychotomic. On the other hand, if the solution space is polychotomic then there exist boundary conditions such that the associated boundary value problem is well conditioned.",

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AB - Linear multipoint boundary value problems are investigated from the point of view of the condition number and properties of the fundamental solution. It is found that when the condition number is not large, the solution space is polychotomic. On the other hand, if the solution space is polychotomic then there exist boundary conditions such that the associated boundary value problem is well conditioned.

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

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On the conditioning of multipoint and integral boundary value problems

Abstract

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