التفاصيل البيبلوغرافية
| العنوان: |
Applying an iterative method numerically to solve n × n matrix Wiener-Hopf equations with exponential factors. |
| المؤلفون: |
Priddin, Matthew J., Kisil, Anastasia V., Ayton, Lorna J. |
| المصدر: |
Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences; 1/10/2020, Vol. 378 Issue 2162, p1-18, 18p |
| مصطلحات موضوعية: |
SYLVESTER matrix equations, BOUNDARY value problems, EQUATIONS, PLANE wavefronts, SCATTERING (Physics), RIEMANN-Hilbert problems, NONLINEAR equations |
| مستخلص: |
This paper presents a generalization of a recent iterative approach to solving a class of 2 ×2 matrix Wiener-Hopf equations involving exponential factors. We extend the method to square matrices of arbitrary dimension n, as arise in mixed boundary value problems with n junctions. To demonstrate the method, we consider the classical problem of scattering a plane wave by a set of collinear plates. The results are compared to other known methods. We describe an effective implementation using a spectral method to compute the required Cauchy transforms. The approach is ideally suited to obtaining far-field directivity patterns of utility to applications. Convergence in iteration is fastest for large wavenumbers, but remains practical at modest wavenumbers to achieve a high degree of accuracy. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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