The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides
The inverse fundamental operator marching method (IFOMM) is suggested to solve Cauchy problems associated with the Helmholtz equation in stratified waveguides. It is observed that the method for large-scale Cauchy problems is computationally efficient, highly accurate, and stable with respect to the...
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| Format: | Article |
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Hindawi Limited
2011-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2011/259479 |
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doaj-f39cf4f31af047659d889f0adfe9e9712020-11-24T20:53:42ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472011-01-01201110.1155/2011/259479259479The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified WaveguidesPeng Li0Weizhou Zhong1Department of Mathematics, North China University of Water Conservancy and Electric Power, Zhengzhou 450011, ChinaSchool of Economics and Finance, Xi'an Jiaotong University, Xi'an 710061, ChinaThe inverse fundamental operator marching method (IFOMM) is suggested to solve Cauchy problems associated with the Helmholtz equation in stratified waveguides. It is observed that the method for large-scale Cauchy problems is computationally efficient, highly accurate, and stable with respect to the noise in the data for the propagating part of a starting field. In further, the application scope of the IFOMM is discussed through providing an error estimation for the method. The estimation indicates that the IFOMM particularly suits to compute wave propagation in long-range and slowly varying stratified waveguides.http://dx.doi.org/10.1155/2011/259479 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Peng Li Weizhou Zhong |
| spellingShingle |
Peng Li Weizhou Zhong The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides Mathematical Problems in Engineering |
| author_facet |
Peng Li Weizhou Zhong |
| author_sort |
Peng Li |
| title |
The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides |
| title_short |
The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides |
| title_full |
The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides |
| title_fullStr |
The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides |
| title_full_unstemmed |
The Inverse Fundamental Operator Marching Method for Cauchy Problems in Range-Dependent Stratified Waveguides |
| title_sort |
inverse fundamental operator marching method for cauchy problems in range-dependent stratified waveguides |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2011-01-01 |
| description |
The inverse fundamental operator marching method (IFOMM) is suggested to
solve Cauchy problems associated with the Helmholtz equation in stratified waveguides.
It is observed that the method for large-scale Cauchy problems is computationally
efficient, highly accurate, and stable with respect to the noise in the data
for the propagating part of a starting field. In further, the application scope of the
IFOMM is discussed through providing an error estimation for the method. The estimation
indicates that the IFOMM particularly suits to compute wave propagation
in long-range and slowly varying stratified waveguides. |
| url |
http://dx.doi.org/10.1155/2011/259479 |
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