Improved error bounds for second-order differential equations with two turning points

Journal of Research of the National Bureau of Standards Section B Mathematical Sciences ◽

10.6028/jres.080b.047 ◽

1976 ◽

Vol 80B (4) ◽

pp. 437 ◽

Author(s):

F.W.J. Olver

Keyword(s):

Differential Equations ◽

Error Bounds ◽

Turning Points ◽

Second Order ◽

Second Order Differential Equations

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Asymptotic theory of second order differential equations with two simple turning points

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00277924 ◽

1958 ◽

Vol 2 (1) ◽

pp. 129-150 ◽

Author(s):

Nicholas D. Kazarinoff

Keyword(s):

Differential Equations ◽

Asymptotic Theory ◽

Turning Points ◽

Second Order ◽

Second Order Differential Equations

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Asymptotics of solutions of second-order differential equations with two turning points and a complex parameter. I

Journal of Soviet Mathematics ◽

10.1007/bf01455060 ◽

1979 ◽

Vol 11 (5) ◽

pp. 804-814

Author(s):

Z. A. Yanson

Keyword(s):

Differential Equations ◽

Turning Points ◽

Second Order ◽

Complex Parameter ◽

Asymptotics Of Solutions ◽

Second Order Differential Equations

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Connection Formulas for Second-Order Differential Equations with Multiple Turning Points

SIAM Journal on Mathematical Analysis ◽

10.1137/0508009 ◽

1977 ◽

Vol 8 (1) ◽

pp. 127-154 ◽

Author(s):

F. W. J. Olver

Keyword(s):

Differential Equations ◽

Turning Points ◽

Second Order ◽

Second Order Differential Equations ◽

Connection Formulas

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Error Bounds for Asymptotic Solutions of Second-Order Differential Equations Having an Irregular Singularity of Arbitrary Rank

Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis ◽

10.1137/0702018 ◽

1965 ◽

Vol 2 (2) ◽

pp. 244-249 ◽

Author(s):

F. W. J. Olver ◽

F. Stenger

Keyword(s):

Differential Equations ◽

Error Bounds ◽

Second Order ◽

Asymptotic Solutions ◽

Irregular Singularity ◽

Second Order Differential Equations ◽

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Boundary value problems for systems of second-order differential equations: approximations, convergence and upper error bounds

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(90)90004-j ◽

1990 ◽

Vol 30 (1) ◽

pp. 39-54

Author(s):

Lucas Jódar

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Error Bounds ◽

Boundary Value ◽

Second Order ◽

Second Order Differential Equations

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On error bounds for the Gautschi-type exponential integrator applied to oscillatory second-order differential equations

Numerische Mathematik ◽

10.1007/s00211-005-0583-8 ◽

2005 ◽

Vol 100 (1) ◽

pp. 71-89 ◽

Author(s):

Volker Grimm

Keyword(s):

Differential Equations ◽

Error Bounds ◽

Second Order ◽

Second Order Differential Equations ◽

Exponential Integrator

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Error bounds for explicit ERKN integrators for systems of multi-frequency oscillatory second-order differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2013.08.002 ◽

2013 ◽

Vol 74 ◽

pp. 17-34 ◽

Author(s):

Bin Wang ◽

Xinyuan Wu ◽

Jianlin Xia

Keyword(s):

Differential Equations ◽

Error Bounds ◽

Second Order ◽

Second Order Differential Equations ◽

Erkn Integrators

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ASYMPTOTIC THEORY OF SECOND ORDER DIFFERENTIAL EQUATIONS WITH TWO SIMPLE TURNING POINTS

10.21236/ad0219117 ◽

1958 ◽

Author(s):

NICHOLAS D. KAZARINOFF

Keyword(s):

Differential Equations ◽

Asymptotic Theory ◽

Turning Points ◽

Second Order ◽

Second Order Differential Equations

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Connection Formulas for Second-Order Differential Equations Having an Arbitrary Number of Turning Points of Arbitrary Multiplicities

SIAM Journal on Mathematical Analysis ◽

10.1137/0508053 ◽

1977 ◽

Vol 8 (4) ◽

pp. 673-700 ◽

Author(s):

F. W. J. Olver

Keyword(s):

Differential Equations ◽

Arbitrary Number ◽

Turning Points ◽

Second Order ◽

Second Order Differential Equations ◽

Connection Formulas

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Connection Formulas for Second Order Differential Equations with a Complex Parameter and Having an Arbitrary Number of Turning Points

Mathematische Nachrichten ◽

10.1002/mana.19941650114 ◽

1994 ◽

Vol 165 (1) ◽

pp. 205-229 ◽

Author(s):

W. Eberhard ◽

G. Freiling ◽

A. Schneider

Keyword(s):

Differential Equations ◽

Arbitrary Number ◽

Turning Points ◽

Second Order ◽

Complex Parameter ◽

Second Order Differential Equations ◽

Connection Formulas

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