George Benthien's Numerical Mathematics Tutorials

Author : George Benthien
Publication Date : 2003

Tutorials available in PDF format:

- Harmonic Analysis - discusses some of the numerical aspects of practical harmonic analysis.

- Numerical Linear Algebra - describes many of the standard numerical methods used in Linear Algebra.

- Digital Encoding - describes methods for encoding digital information in an electric or optical signal.

- Modeling of Sonar Transducers and Arrays - describes some of the mathematical tools used in the modeling of Sonar transducers and arrays.

- Symmetry Reductions - shows how to use geometric symmetry in order to reduce the solution of the original system of equations to the solution of a number of smaller systems of equations.

Technical papers available in PDF format:

- Acoustic Array Interactions in the Time Domain - presents a method for improving the convergence in the frequency domain of the mutual interaction impulse response functions for an array of Sonar transducers.

- Solution of the Kirchhoff Integral Equation in Acoustics - presents a numerical technique to improve the stability associated with the solution of Kirchhoff's equation when the time step is too small.

- Far-field Pressure Due to a Planar Piston of Arbitrary Shape - describes a technique for calculating the far-field pressure due to a vibrating piston of arbitrary shape located on an infinite rigid planar baffle.

- Mutual Interaction of Pistons of Arbitrary Shape on a Planar Rigid Baffle - illustrates how Lindeman's technique can be extended to the mutual acoustic interaction between two pistons of arbitrary shape on a rigid planar baffle.

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