Accurate estimates for the fundamental solutions of discrete boundary value problems

R.M.M. Mattheij

doi:10.1016/0022-247X(84)90112-4

Accurate estimates for the fundamental solutions of discrete boundary value problems

R.M.M. Mattheij

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

2 Citaten (Scopus)

Samenvatting

It is investigated how the solutions of a discretized ODE can be related to solutions of the ODE, by using a perturbation analysis based on boundary value formulations. In particular it is indicated how one can find estimates for discrete modes that correspond to certain continuous modes. These estimates are fairly sharp in a relative sense as is shown by some examples. As a consequence one can deduce that certain properties of the one solution space like a dichotomy, carry over to the other.

Originele taal-2	Engels
Pagina's (van-tot)	444-464
Aantal pagina's	21
Tijdschrift	Journal of Mathematical Analysis and Applications
Volume	101
Nummer van het tijdschrift	2
DOI's	https://doi.org/10.1016/0022-247X(84)90112-4
Status	Gepubliceerd - 1984

Toegang tot document

10.1016/0022-247X(84)90112-4

Vingerafdruk Duik in de onderzoeksthema's van 'Accurate estimates for the fundamental solutions of discrete boundary value problems'. Samen vormen ze een unieke vingerafdruk.

Citeer dit

@article{d1724259633048dab62466ff29d839e9,

title = "Accurate estimates for the fundamental solutions of discrete boundary value problems",

abstract = "It is investigated how the solutions of a discretized ODE can be related to solutions of the ODE, by using a perturbation analysis based on boundary value formulations. In particular it is indicated how one can find estimates for discrete modes that correspond to certain continuous modes. These estimates are fairly sharp in a relative sense as is shown by some examples. As a consequence one can deduce that certain properties of the one solution space like a dichotomy, carry over to the other.",

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

year = "1984",

doi = "10.1016/0022-247X(84)90112-4",

language = "English",

volume = "101",

pages = "444--464",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Agon Elsevier",

number = "2",

}

TY - JOUR

T1 - Accurate estimates for the fundamental solutions of discrete boundary value problems

AU - Mattheij, R.M.M.

PY - 1984

Y1 - 1984

N2 - It is investigated how the solutions of a discretized ODE can be related to solutions of the ODE, by using a perturbation analysis based on boundary value formulations. In particular it is indicated how one can find estimates for discrete modes that correspond to certain continuous modes. These estimates are fairly sharp in a relative sense as is shown by some examples. As a consequence one can deduce that certain properties of the one solution space like a dichotomy, carry over to the other.

AB - It is investigated how the solutions of a discretized ODE can be related to solutions of the ODE, by using a perturbation analysis based on boundary value formulations. In particular it is indicated how one can find estimates for discrete modes that correspond to certain continuous modes. These estimates are fairly sharp in a relative sense as is shown by some examples. As a consequence one can deduce that certain properties of the one solution space like a dichotomy, carry over to the other.

U2 - 10.1016/0022-247X(84)90112-4

DO - 10.1016/0022-247X(84)90112-4

M3 - Article

VL - 101

SP - 444

EP - 464

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -