From Cagniard's method for solving seismic pulse problems to the method of the differential transform

DOI10.1016/0898-1221(82)90050-5zbMath0483.73087OpenAlexW1996245172MaRDI QIDQ1163423

H. C. Murrell, Abraham A. Ungar

Publication date: 1982

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(82)90050-5

zbMATH Keywords

branch cutsresidue calculusapplication to Garvin's problemintegral-free transformpath deformations in complex planepulse- propagation

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Seismology (including tsunami modeling), earthquakes (86A15) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Laplace transform (44A10) Waves in solid mechanics (74J99) Geophysical solid mechanics (74L05)

Related Items (4)

Electromagnetic head waves ⋮ Lamb’s problem: a brief history ⋮ A new approach to Cagniard's problem ⋮ The differential transform and its application to an electrostatics image problem

Cites Work

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• A new operational calculus method
• A note on Ranger's line rotelet near a plane
• Wave generation in an elastic half-space by a normal point load moving uniformly over the free surface
• The application of the differential transform technique to point source problems of elasticity
• Exact transient solution of the buried line source problem
• A modification of cagniard’s method for solving seismic pulse problems
• An Electromagnetic Progressing Wave Representation for the Field of a Uniformly Moving Point Charge
• Transient Excitation of an Elastic Half Space by a Point Load Traveling on the Surface
• An Operator Related to the Inverse Laplace Transform

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