Class information for:
Level 1: METHOD OF FUNDAMENTAL SOLUTIONS//RADIAL BASIS FUNCTIONS//ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
2981 2096 26.8 57%



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
1289 2             ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//BOUNDARY ELEMENT METHOD//METHOD OF FUNDAMENTAL SOLUTIONS 8679
2981 1                   METHOD OF FUNDAMENTAL SOLUTIONS//RADIAL BASIS FUNCTIONS//ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 2096

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 METHOD OF FUNDAMENTAL SOLUTIONS authKW 2793019 13% 71% 271
2 RADIAL BASIS FUNCTIONS authKW 2351580 27% 28% 572
3 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS journal 843039 20% 14% 414
4 MULTIQUADRIC authKW 692692 3% 67% 71
5 SINGULAR BOUNDARY METHOD authKW 546704 2% 89% 42
6 MESHLESS METHOD authKW 474922 10% 16% 200
7 NUMER SIMULAT SOFTWARE ENGN SCI address 394916 2% 66% 41
8 DUAL RECIPROCITY METHOD authKW 393009 3% 46% 59
9 BOUNDARY KNOT METHOD authKW 351676 1% 93% 26
10 FICTITIOUS TIME INTEGRATION METHOD FTIM authKW 282004 1% 88% 22

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, Interdisciplinary Applications 67980 41% 1% 855
2 Engineering, General 56381 39% 0% 826
3 Mathematics, Applied 15359 34% 0% 720
4 Mechanics 2800 13% 0% 282
5 Computer Science, Interdisciplinary Applications 1004 6% 0% 136
6 Mathematics 550 8% 0% 178
7 Physics, Mathematical 389 4% 0% 94
8 Thermodynamics 149 3% 0% 58
9 Engineering, Mechanical 74 3% 0% 60
10 Acoustics 58 1% 0% 28

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 SIMULAT SOFTWARE ENGN SCI 394916 2% 66% 41
2 COMPUTAT SIMULAT 261660 2% 56% 32
3 HYDROTECH 121879 3% 15% 57
4 SCI TECHNOL MAGNETISM TECH OBJECTS 117217 1% 62% 13
5 INT SIMULAT SOFTWARE ENGN SCI 103672 1% 65% 11
6 HARBOR RIVER ENGN 102256 3% 11% 62
7 NUMER ANGEW MATH 69343 2% 13% 36
8 AEROSP EDUC 57428 1% 16% 24
9 MULTIPHASE PROC 46436 1% 11% 30
10 MATH G PEANO 45568 1% 24% 13

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 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 843039 20% 14% 414
2 CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 157842 7% 8% 143
3 LECTURE NOTES IN PURE AND APPLIED MATHEMATICS 58672 2% 9% 44
4 CMC-COMPUTERS MATERIALS & CONTINUA 54218 2% 8% 48
5 COMPUTERS & MATHEMATICS WITH APPLICATIONS 24424 6% 1% 127
6 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 18967 2% 3% 42
7 JOURNAL OF APPROXIMATION THEORY 16841 3% 2% 63
8 ADVANCES IN COMPUTATIONAL MATHEMATICS 15219 1% 5% 21
9 ADVANCES IN APPLIED MATHEMATICS AND MECHANICS 12968 1% 4% 20
10 CONSTRUCTIVE APPROXIMATION 9110 1% 3% 25

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 METHOD OF FUNDAMENTAL SOLUTIONS 2793019 13% 71% 271 Search METHOD+OF+FUNDAMENTAL+SOLUTIONS Search METHOD+OF+FUNDAMENTAL+SOLUTIONS
2 RADIAL BASIS FUNCTIONS 2351580 27% 28% 572 Search RADIAL+BASIS+FUNCTIONS Search RADIAL+BASIS+FUNCTIONS
3 MULTIQUADRIC 692692 3% 67% 71 Search MULTIQUADRIC Search MULTIQUADRIC
4 SINGULAR BOUNDARY METHOD 546704 2% 89% 42 Search SINGULAR+BOUNDARY+METHOD Search SINGULAR+BOUNDARY+METHOD
5 MESHLESS METHOD 474922 10% 16% 200 Search MESHLESS+METHOD Search MESHLESS+METHOD
6 DUAL RECIPROCITY METHOD 393009 3% 46% 59 Search DUAL+RECIPROCITY+METHOD Search DUAL+RECIPROCITY+METHOD
7 BOUNDARY KNOT METHOD 351676 1% 93% 26 Search BOUNDARY+KNOT+METHOD Search BOUNDARY+KNOT+METHOD
8 FICTITIOUS TIME INTEGRATION METHOD FTIM 282004 1% 88% 22 Search FICTITIOUS+TIME+INTEGRATION+METHOD+FTIM Search FICTITIOUS+TIME+INTEGRATION+METHOD+FTIM
9 RBF FD 262199 1% 100% 18 Search RBF+FD Search RBF+FD
10 MESHLESS 252708 4% 21% 81 Search MESHLESS Search MESHLESS

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 CHENG, AHD , (2012) MULTIQUADRIC AND ITS SHAPE PARAMETER-A NUMERICAL INVESTIGATION OF ERROR ESTIMATE, CONDITION NUMBER, AND ROUND-OFF ERROR BY ARBITRARY PRECISION COMPUTATION.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. VOL. 36. ISSUE 2. P. 220 -239 56 69% 52
2 KARAGEORGHIS, A , LESNIC, D , MARIN, L , (2011) A SURVEY OF APPLICATIONS OF THE MFS TO INVERSE PROBLEMS.INVERSE PROBLEMS IN SCIENCE AND ENGINEERING. VOL. 19. ISSUE 3. P. 309 -336 57 58% 73
3 UDDIN, M , ALI, H , ALI, A , (2015) KERNEL-BASED LOCAL MESHLESS METHOD FOR SOLVING MULTI-DIMENSIONAL WAVE EQUATIONS IN IRREGULAR DOMAIN.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. VOL. 107. ISSUE 6. P. 463 -479 39 85% 0
4 LIU, QG , SARLER, B , (2017) A NON-SINGULAR METHOD OF FUNDAMENTAL SOLUTIONS FOR TWO-DIMENSIONAL STEADY-STATE ISOTROPIC THERMOELASTICITY PROBLEMS.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. VOL. 75. ISSUE . P. 89 -102 31 97% 0
5 STEVENS, D , POWER, H , MENG, CY , HOWARD, D , CLIFFE, KA , (2013) AN ALTERNATIVE LOCAL COLLOCATION STRATEGY FOR HIGH-CONVERGENCE MESHLESS PDE SOLUTIONS, USING RADIAL BASIS FUNCTIONS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 254. ISSUE . P. 52 -75 32 97% 3
6 BOYD, JP , GILDERSLEEVE, KW , (2011) NUMERICAL EXPERIMENTS ON THE CONDITION NUMBER OF THE INTERPOLATION MATRICES FOR RADIAL BASIS FUNCTIONS.APPLIED NUMERICAL MATHEMATICS. VOL. 61. ISSUE 4. P. 443-459 33 94% 15
7 BOSELLI, F , OBRIST, D , KLEISER, L , (2012) A MULTILAYER METHOD OF FUNDAMENTAL SOLUTIONS FOR STOKES FLOW PROBLEMS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 231. ISSUE 18. P. 6139 -6158 35 90% 1
8 FAN, CM , HUANG, YK , LI, PW , LEE, YT , (2015) NUMERICAL SOLUTIONS OF TWO-DIMENSIONAL STOKES FLOWS BY THE BOUNDARY KNOT METHOD.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. VOL. 105. ISSUE 6. P. 491 -515 31 94% 0
9 LIN, J , CHEN, W , SZE, KY , (2012) A NEW RADIAL BASIS FUNCTION FOR HELMHOLTZ PROBLEMS.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. VOL. 36. ISSUE 12. P. 1923-1930 32 91% 4
10 CHEN, RH , WU, ZM , (2006) APPLYING MULTIQUADRIC QUASI-INTERPOLATION TO SOLVE BURGERS' EQUATION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 172. ISSUE 1. P. 472-484 33 100% 27

Classes with closest relation at Level 1



Rank Class id link
1 19246 TREFFTZ METHOD//EFFECTIVE CONDITION NUMBER//SINGULARITY PROBLEM
2 24266 DEGENERATE SCALE//DEGENERATE KERNEL//HARBOR RIVER ENGN
3 14456 BOUNDARY ELEMENT METHOD//GREEN ELEMENT METHOD//RADIAL INTEGRATION METHOD
4 13310 DATA COMPLETION//CAUCHY PROBLEM//ROBIN INVERSE PROBLEM
5 1705 MESHLESS METHOD//MESHFREE METHOD//MESHLESS
6 32188 SHEPARD OPERATOR//COMBINED SHEPARD OPERATORS//SHEPARD METHOD
7 14984 GEOMATH GRP//SPHERICAL DESIGNS//EUCLIDEAN DESIGN
8 7697 ILL POSED PROBLEM//INVERSE SOURCE PROBLEM//BACKWARD HEAT PROBLEM
9 15840 BIVARIATE SPLINES//TRIVARIATE SPLINES//DISCRETE QUASI INTERPOLANTS
10 26010 LINEAR HYPERBOLIC EQUATION//TELEGRAPH EQUATION//SINE GORDON EQUATION

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