The Connection Problem for Two Neighboring Regular Singular Points of General Linear Complex Ordinary Differential Equations

Reinhard Schäfke

doi:10.1137/0511077

The Connection Problem for Two Neighboring Regular Singular Points of General Linear Complex Ordinary Differential Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/0511077 ◽

1980 ◽

Vol 11 (5) ◽

pp. 863-875 ◽

Cited By ~ 8

Author(s):

Reinhard Schäfke

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Singular Points ◽

General Linear ◽

Linear Complex ◽

Connection Problem

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The Connection Problem for General Linear Ordinary Differential Equations at Two Regular Singular Points with Applications in the Theory of Special Functions

SIAM Journal on Mathematical Analysis ◽

10.1137/0511076 ◽

1980 ◽

Vol 11 (5) ◽

pp. 848-862 ◽

Cited By ~ 37

Author(s):

Reinhard Schäfke ◽

Dieter Schmidt

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Special Functions ◽

Singular Points ◽

General Linear ◽

Linear Ordinary Differential Equations ◽

Connection Problem

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A two point connection problem for general linear ordinary differential equations

Hiroshima Mathematical Journal ◽

10.32917/hmj/1206137065 ◽

1974 ◽

Vol 4 (2) ◽

pp. 293-338 ◽

Cited By ~ 14

Author(s):

Mitsuhiko Kohno

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

General Linear ◽

Linear Ordinary Differential Equations ◽

Connection Problem

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Stokes phenomenon for general linear ordinary differential equations with two singular points

Japan-United States Seminar on Ordinary Differential and Functional Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0058748 ◽

1971 ◽

pp. 310-314 ◽

Cited By ~ 1

Author(s):

Mitsuhiko Kohno

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Singular Points ◽

General Linear ◽

Stokes Phenomenon ◽

Linear Ordinary Differential Equations

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A new class of efficient general linear methods for ordinary differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.12.022 ◽

2020 ◽

Vol 151 ◽

pp. 282-300

Author(s):

M. Braś ◽

Z. Jackiewicz

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

General Linear Methods ◽

General Linear ◽

New Class

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The Order of Convergence of General Linear Methods for Ordinary Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0715043 ◽

1978 ◽

Vol 15 (4) ◽

pp. 643-661 ◽

Cited By ~ 13

Author(s):

G. J. Cooper

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Order Of Convergence ◽

General Linear Methods ◽

General Linear

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Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(96)00043-8 ◽

1996 ◽

Vol 21 (4) ◽

pp. 385-415 ◽

Cited By ~ 38

Author(s):

J.C. Butcher ◽

Z. Jackiewicz

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

General Linear Methods ◽

General Linear

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General linear methods for the parallel solution of ordinary differential equations

Contributions in Numerical Mathematics ◽

10.1142/9789812798886_0008 ◽

1993 ◽

pp. 99-111 ◽

Cited By ~ 1

Author(s):

J. C. Butcher

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

General Linear Methods ◽

General Linear ◽

Parallel Solution

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The initial development of the WKB solutions of linear second order ordinary differential equations and their use in the connection problem

Historia Mathematica ◽

10.1016/0315-0860(77)90111-2 ◽

1977 ◽

Vol 4 (2) ◽

pp. 183-204 ◽

Cited By ~ 9

Author(s):

Arthur Schlissel

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Second Order ◽

Initial Development ◽

Connection Problem

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The Numerical Analysis of Ordinary Differential Equations: Runge–Kutta and General Linear Methods (J. C. Butcher)

SIAM Review ◽

10.1137/1031147 ◽

1989 ◽

Vol 31 (4) ◽

pp. 693-693 ◽

Cited By ~ 1

Author(s):

W. H. Enright

Keyword(s):

Numerical Analysis ◽

Differential Equations ◽

Ordinary Differential Equations ◽

General Linear Methods ◽

General Linear ◽

Runge Kutta

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A Connection Problem for Second Order Linear Differential Equations with Two Irregular Singular Points

SIAM Journal on Mathematical Analysis ◽

10.1137/0507013 ◽

1976 ◽

Vol 7 (2) ◽

pp. 157-175 ◽

Cited By ~ 17

Author(s):

Friedrich Naundorf

Keyword(s):

Differential Equations ◽

Second Order ◽

Singular Points ◽

Linear Differential Equations ◽

Order Linear ◽

Connection Problem ◽

Linear Differential ◽

Irregular Singular Points

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