Die Determinantenmethode zur Berechnung des charakteristischen Exponenten der endlichen Hillschen Differentialgleichung

DOI10.1007/BF01399008zbMath0473.65057OpenAlexW2259602374MaRDI QIDQ1158738

Ekkehard Wagenführer

Publication date: 1980

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186299

zbMATH Keywords

numerical examplesinfinite productscharacteristic exponentinfinite determinantsdeterminental methodfinite Hill differential equation

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Numerical computation of determinants (65F40) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Approximation to limiting values (summation of series, etc.) (40A25) Convergence and divergence of infinite products (40A20)

Related Items (4)

Convergence Improvement for the Infinite Determinants of Hill Systems ⋮ Convergence Improvement for the Infinite Determinants of Hill Systems ⋮ Second-order linear differential equations with two irregular singular points of rank three: The characteristic exponent ⋮ On calculating the eigenvalues of the finite Hill's differential equation

Cites Work

• Infinite determinants associated with Hill's equation
• Berechnung des charakteristischen Exponenten der endlichen Hillschen Differentialgleichung durch Numerische Integration
• Ein Verfahren höherer Konvergenzordnung zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung
• On the convergence of infinite Hill-type determinants
• Ein Verfahren zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung. III
• Über die Konvergenz verallgemeinerter HILLscher Determinanten

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