Wave front expansions and Pade' approximants for transient waves in linear dispersive media

2005 ◽  
pp. 189-207 ◽  
Author(s):  
G. Turchetti ◽  
F. Mainardi
Keyword(s):  
Wave Front ◽  
Padé Approximants ◽  
Dispersive Media ◽  
Transient Waves ◽  
Pade Approximants

scholarly journals Padé approximants and noise: rational functions

1999 ◽  
Vol 105 (1-2) ◽  
pp. 285-297 ◽  
Author(s):  
Jacek Gilewicz ◽  
Maciej Pindor
Keyword(s):  
Rational Functions ◽  
Padé Approximants ◽  
Pade Approximants

scholarly journals Padé approximants for the ground-state energy of closed-shell quantum dots

1997 ◽  
Vol 56 (24) ◽  
pp. 15740-15743 ◽  
Author(s):  
Augusto Gonzalez ◽  
Bart Partoens ◽  
François M. Peeters
Keyword(s):  
Quantum Dots ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Closed Shell ◽  
Padé Approximants ◽  
Pade Approximants

scholarly journals Discrete integrable systems generated by Hermite-Padé approximants

Nonlinearity ◽  
2016 ◽  
Vol 29 (5) ◽  
pp. 1487-1506 ◽  
Author(s):  
Alexander I Aptekarev ◽  
Maxim Derevyagin ◽  
Walter Van Assche
Keyword(s):  
Integrable Systems ◽  
Padé Approximants ◽  
Discrete Integrable Systems ◽  
Pade Approximants

Pade-Approximants for the Electron Gas and for Symmetrical Plasmas

1988 ◽  
Vol 500 (8) ◽  
pp. 529-538 ◽  
Author(s):  
W. Ebeling ◽  
H. Lehmann
Keyword(s):  
Electron Gas ◽  
Padé Approximants ◽  
Pade Approximants

scholarly journals Transient Excitation of an Elastic Half Space by a Point Load Traveling on the Surface

1969 ◽  
Vol 36 (3) ◽  
pp. 505-515 ◽  
Author(s):  
D. C. Gakenheimer ◽  
J. Miklowitz
Keyword(s):  
Exact Solution ◽  
Free Surface ◽  
Steady State ◽  
Wave Front ◽  
Half Space ◽  
Displacement Field ◽  
Elastic Half Space ◽  
Point Load ◽  
Limit Case ◽  
Transient Waves

The propagation of transient waves in a homogeneous, isotropic, linearly elastic half space excited by a traveling normal point load is investigated. The load is suddenly applied and then it moves rectilinearly at a constant speed along the free surface. The displacements are derived for the interior of the half space and for all load speeds. Wave-front expansions are obtained from the exact solution, in addition to results pertaining to the steady-state displacement field. The limit case of zero load speed is considered, yielding new results for Lamb’s point load problem.

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