Class information for:
Level 1: TRANSMISSION EIGENVALUES//INVERSE SCATTERING//LINEAR SAMPLING METHOD

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
5050 1682 21.8 50%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
16 4 ENGINEERING, CIVIL//CONSTRUCTION & BUILDING TECHNOLOGY//MECHANICS 627508
437 3       ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE PROBLEMS 26987
1984 2             INVERSE PROBLEMS//INVERSE SCATTERING//TOPOLOGICAL DERIVATIVE 5575
5050 1                   TRANSMISSION EIGENVALUES//INVERSE SCATTERING//LINEAR SAMPLING METHOD 1682

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 TRANSMISSION EIGENVALUES authKW 990124 4% 91% 60
2 INVERSE SCATTERING authKW 829211 11% 24% 190
3 LINEAR SAMPLING METHOD authKW 604152 2% 79% 42
4 INTERIOR TRANSMISSION PROBLEM authKW 545140 2% 97% 31
5 INVERSE PROBLEMS journal 475503 18% 9% 299
6 INVERSE SCATTERING PROBLEM authKW 330891 3% 33% 56
7 HELMHOLTZ EQUATION authKW 320575 8% 13% 140
8 INVERSE OBSTACLE SCATTERING authKW 249806 1% 81% 17
9 INTERIOR TRANSMISSION EIGENVALUES authKW 235982 1% 100% 13
10 INVERSE ACOUSTIC SCATTERING authKW 211220 1% 73% 16

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with term
in class
1 Mathematics, Applied 54069 70% 0% 1183
2 Physics, Mathematical 15994 27% 0% 462
3 Mathematics 2017 16% 0% 272
4 Acoustics 1089 5% 0% 86
5 Mechanics 481 7% 0% 115
6 Mathematics, Interdisciplinary Applications 367 4% 0% 64
7 Engineering, General 282 4% 0% 61
8 Audiology & Speech-Language Pathology 262 2% 0% 30
9 Computer Science, Interdisciplinary Applications 223 4% 0% 63
10 Computer Science, Software Engineering 62 2% 0% 32

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 NUMER ANGEW MATH 147344 3% 17% 47
2 NUMER PL MATH 68298 1% 16% 24
3 INRIA SACLAY ILE FRANCE 58070 1% 27% 12
4 LMAC EA2222 54457 0% 100% 3
5 NUMER ANDGEWANDTE MATH 54457 0% 100% 3
6 MATH NAT SCI COMP SCI 1 40842 0% 75% 3
7 UMR ENSTA CNRS INRIA 40842 0% 75% 3
8 RADON RICAM 36305 0% 100% 2
9 SECT FE 12 36305 0% 100% 2
10 COMP DATA SCI 32409 0% 36% 5

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 INVERSE PROBLEMS 475503 18% 9% 299
2 INVERSE PROBLEMS AND IMAGING 125117 3% 12% 57
3 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 44471 6% 3% 94
4 SIAM JOURNAL ON APPLIED MATHEMATICS 32779 5% 2% 79
5 APPLICABLE ANALYSIS 21806 2% 3% 42
6 IMA JOURNAL OF APPLIED MATHEMATICS 18079 2% 3% 38
7 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 17019 1% 7% 13
8 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 11286 3% 1% 48
9 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 9311 1% 4% 14
10 QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS 9045 1% 2% 24

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 TRANSMISSION EIGENVALUES 990124 4% 91% 60 Search TRANSMISSION+EIGENVALUES Search TRANSMISSION+EIGENVALUES
2 INVERSE SCATTERING 829211 11% 24% 190 Search INVERSE+SCATTERING Search INVERSE+SCATTERING
3 LINEAR SAMPLING METHOD 604152 2% 79% 42 Search LINEAR+SAMPLING+METHOD Search LINEAR+SAMPLING+METHOD
4 INTERIOR TRANSMISSION PROBLEM 545140 2% 97% 31 Search INTERIOR+TRANSMISSION+PROBLEM Search INTERIOR+TRANSMISSION+PROBLEM
5 INVERSE SCATTERING PROBLEM 330891 3% 33% 56 Search INVERSE+SCATTERING+PROBLEM Search INVERSE+SCATTERING+PROBLEM
6 HELMHOLTZ EQUATION 320575 8% 13% 140 Search HELMHOLTZ+EQUATION Search HELMHOLTZ+EQUATION
7 INVERSE OBSTACLE SCATTERING 249806 1% 81% 17 Search INVERSE+OBSTACLE+SCATTERING Search INVERSE+OBSTACLE+SCATTERING
8 INTERIOR TRANSMISSION EIGENVALUES 235982 1% 100% 13 Search INTERIOR+TRANSMISSION+EIGENVALUES Search INTERIOR+TRANSMISSION+EIGENVALUES
9 INVERSE ACOUSTIC SCATTERING 211220 1% 73% 16 Search INVERSE+ACOUSTIC+SCATTERING Search INVERSE+ACOUSTIC+SCATTERING
10 MULTI STATIC RESPONSE MSR MATRIX 199677 1% 100% 11 Search MULTI+STATIC+RESPONSE+MSR+MATRIX Search MULTI+STATIC+RESPONSE+MSR+MATRIX

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref.
in cl.
Shr. of ref. in
cl.
Citations
1 COLTON, D , KRESS, R , (2006) USING FUNDAMENTAL SOLUTIONS IN INVERSE SCATTERING.INVERSE PROBLEMS. VOL. 22. ISSUE 3. P. R49 -R66 47 100% 53
2 BAO, G , CUI, T , LI, PJ , (2014) INVERSE DIFFRACTION GRATING OF MAXWELL'S EQUATIONS IN BIPERIODIC STRUCTURES.OPTICS EXPRESS. VOL. 22. ISSUE 4. P. 4799-4816 40 91% 2
3 LI, PJ , WANG, YL , ZHAO, Y , (2016) NEAR-FIELD IMAGING OF BIPERIODIC SURFACES FOR ELASTIC WAVES.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 324. ISSUE . P. 1 -23 34 92% 0
4 PARK, WK , (2015) MULTI-FREQUENCY SUBSPACE MIGRATION FOR IMAGING OF PERFECTLY CONDUCTING, ARC-LIKE CRACKS IN FULL- AND LIMITED-VIEW INVERSE SCATTERING PROBLEMS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 283. ISSUE . P. 52 -80 37 77% 0
5 CHENG, T , LI, PJ , WANG, YL , (2013) NEAR-FIELD IMAGING OF PERFECTLY CONDUCTING GRATING SURFACES.JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION. VOL. 30. ISSUE 12. P. 2473-2481 29 97% 3
6 COLTON, D , HADDAR, H , PIANA, M , (2003) THE LINEAR SAMPLING METHOD IN INVERSE ELECTROMAGNETIC SCATTERING THEORY.INVERSE PROBLEMS. VOL. 19. ISSUE 6. P. S105-S137 36 90% 93
7 GUO, J , WU, QH , YAN, GZ , (2015) THE INVERSE SCATTERING PROBLEM BY A CRACK BURIED IN A PIECEWISE HOMOGENEOUS MEDIUM.IMA JOURNAL OF APPLIED MATHEMATICS. VOL. 80. ISSUE 4. P. 1199 -1218 28 97% 0
8 BAO, G , LI, PJ , (2014) CONVERGENCE ANALYSIS IN NEAR-FIELD IMAGING.INVERSE PROBLEMS. VOL. 30. ISSUE 8. P. - 30 91% 1
9 YAMAN, F , YAKHNO, VG , POTTHAST, R , (2013) A SURVEY ON INVERSE PROBLEMS FOR APPLIED SCIENCES.MATHEMATICAL PROBLEMS IN ENGINEERING. VOL. . ISSUE . P. - 68 40% 2
10 LI, PJ , WANG, YL , ZHAO, Y , (2016) CONVERGENCE ANALYSIS IN NEAR-FIELD IMAGING FOR ELASTIC WAVES.APPLICABLE ANALYSIS. VOL. 95. ISSUE 11. P. 2339 -2360 27 96% 0

Classes with closest relation at Level 1



Rank Class id link
1 19672 TOPOLOGICAL DERIVATIVE//TOPOLOGICAL SENSITIVITY//TOPOLOGICAL GRADIENT
2 8884 INVERSE CONDUCTIVITY PROBLEM//DIRICHLET TO NEUMANN MAP//CALDERON PROBLEM
3 27861 WAVE SCATTERING BY SMALL BODIES//MANY BODY SCATTERING PROBLEM//REFRACTION COEFFICIENT
4 13310 DATA COMPLETION//CAUCHY PROBLEM//ROBIN INVERSE PROBLEM
5 30984 RADIATING SOLUTIONS//VOLUME SINGULAR INTEGRAL EQUATION//EVOLUTIONARY EQUATIONS
6 2143 MICROWAVE IMAGING//INVERSE SCATTERING//MICROWAVE TOMOGRAPHY
7 7131 HELMHOLTZ EQUATION//ULTRA WEAK VARIATIONAL FORMULATION//WAVE BASED METHOD
8 10908 TIME REVERSAL//TIME REVERSAL TR//ONDES ACOUST
9 29796 NONRADIATING SOURCES//MINIMUM ENERGY SOURCES//UNDERGROUND RADAR
10 25530 CONVOLUTION OF FOURIER EXPANSIONS//CRACKED DOMAIN//ARBITRARY PARTITION OF BOUNDARY

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