Class information for:
Level 1: ILL POSED PROBLEM//INVERSE SOURCE PROBLEM//BACKWARD HEAT PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7697 1339 20.4 45%


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
1985 2             ILL POSED PROBLEM//INVERSE HEAT CONDUCTION PROBLEM//DISCREPANCY PRINCIPLE 5570
7697 1                   ILL POSED PROBLEM//INVERSE SOURCE PROBLEM//BACKWARD HEAT PROBLEM 1339

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 ILL POSED PROBLEM authKW 842706 14% 20% 182
2 INVERSE SOURCE PROBLEM authKW 581092 5% 42% 61
3 BACKWARD HEAT PROBLEM authKW 478862 2% 100% 21
4 BACKWARD HEAT CONDUCTION PROBLEM authKW 437218 2% 91% 21
5 BACKWARD PROBLEM authKW 357901 1% 83% 19
6 UNKNOWN SOURCE authKW 350805 1% 77% 20
7 INVERSE PROBLEM authKW 277258 21% 4% 287
8 UNKNOWN COEFFICIENTS authKW 273635 1% 100% 12
9 QUASI REVERSIBILITY METHOD authKW 249434 1% 58% 19
10 LIE GROUP SHOOTING METHOD authKW 244063 1% 63% 17

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 31620 60% 0% 810
2 Mathematics, Interdisciplinary Applications 6536 16% 0% 216
3 Mathematics 5939 29% 0% 395
4 Engineering, General 5458 16% 0% 210
5 Physics, Mathematical 1785 11% 0% 144
6 Mechanics 655 9% 0% 115
7 Multidisciplinary Sciences 262 3% 0% 35
8 Thermodynamics 164 3% 0% 46
9 Computer Science, Software Engineering 76 2% 0% 30
10 Computer Science, Interdisciplinary Applications 60 2% 0% 33

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 MATH LMI 136818 0% 100% 6
2 GRID PL TECHNOL 91208 0% 67% 6
3 GRP NUMER ANAL MATH MODELING NAM2 63140 0% 46% 6
4 PL ANAL GRP 56119 1% 31% 8
5 INFORMAT SYST TECHNOL METALURGY 45606 0% 100% 2
6 PL SCI HIGH 45606 0% 100% 2
7 GANSU SYST DYNAM RELIABIL RAILWAY TRANS 45602 0% 50% 4
8 UNIV NAT SCI 35993 1% 12% 13
9 SYST ENGN NAVAL ARCHITECTURE 32838 1% 10% 14
10 HANOI MATH 30399 0% 33% 4

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 IN SCIENCE AND ENGINEERING 124405 5% 8% 67
2 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 77501 3% 9% 36
3 INVERSE PROBLEMS 55215 7% 3% 91
4 CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 13925 3% 2% 34
5 DIFFERENTIAL EQUATIONS 13437 4% 1% 47
6 APPLICABLE ANALYSIS 13051 2% 2% 29
7 APPLIED MATHEMATICS AND COMPUTATION 8243 6% 0% 80
8 CMC-COMPUTERS MATERIALS & CONTINUA 7205 1% 2% 14
9 COMPUTERS & MATHEMATICS WITH APPLICATIONS 6876 4% 1% 54
10 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 5200 1% 3% 9

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 ILL POSED PROBLEM 842706 14% 20% 182 Search ILL+POSED+PROBLEM Search ILL+POSED+PROBLEM
2 INVERSE SOURCE PROBLEM 581092 5% 42% 61 Search INVERSE+SOURCE+PROBLEM Search INVERSE+SOURCE+PROBLEM
3 BACKWARD HEAT PROBLEM 478862 2% 100% 21 Search BACKWARD+HEAT+PROBLEM Search BACKWARD+HEAT+PROBLEM
4 BACKWARD HEAT CONDUCTION PROBLEM 437218 2% 91% 21 Search BACKWARD+HEAT+CONDUCTION+PROBLEM Search BACKWARD+HEAT+CONDUCTION+PROBLEM
5 BACKWARD PROBLEM 357901 1% 83% 19 Search BACKWARD+PROBLEM Search BACKWARD+PROBLEM
6 UNKNOWN SOURCE 350805 1% 77% 20 Search UNKNOWN+SOURCE Search UNKNOWN+SOURCE
7 INVERSE PROBLEM 277258 21% 4% 287 Search INVERSE+PROBLEM Search INVERSE+PROBLEM
8 UNKNOWN COEFFICIENTS 273635 1% 100% 12 Search UNKNOWN+COEFFICIENTS Search UNKNOWN+COEFFICIENTS
9 QUASI REVERSIBILITY METHOD 249434 1% 58% 19 Search QUASI+REVERSIBILITY+METHOD Search QUASI+REVERSIBILITY+METHOD
10 LIE GROUP SHOOTING METHOD 244063 1% 63% 17 Search LIE+GROUP+SHOOTING+METHOD Search LIE+GROUP+SHOOTING+METHOD

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 LIU, CS , (2011) A SELF-ADAPTIVE LGSM TO RECOVER INITIAL CONDITION OR HEAT SOURCE OF ONE-DIMENSIONAL HEAT CONDUCTION EQUATION BY USING ONLY MINIMAL BOUNDARY THERMAL DATA.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. VOL. 54. ISSUE 7-8. P. 1305-1312 41 100% 5
2 YANG, F , FU, CL , LI, XX , (2016) A MOLLIFICATION REGULARIZATION METHOD FOR IDENTIFYING THE TIME-DEPENDENT HEAT SOURCE PROBLEM.JOURNAL OF ENGINEERING MATHEMATICS. VOL. 100. ISSUE 1. P. 67 -80 31 97% 0
3 LIU, CS , (2015) FINDING UNKNOWN HEAT SOURCE IN A NONLINEAR CAUCHY PROBLEM BY THE LIE-GROUP DIFFERENTIAL ALGEBRAIC EQUATIONS METHOD.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS. VOL. 50. ISSUE . P. 148 -156 30 97% 2
4 ZHANG, HW , ZHANG, XJ , (2017) GENERALIZED TIKHONOV METHOD FOR THE FINAL VALUE PROBLEM OF TIME-FRACTIONAL DIFFUSION EQUATION.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 94. ISSUE 1. P. 66 -78 32 82% 0
5 DENG, ZC , YANG, L , YU, JN , LUO, GW , (2013) IDENTIFYING THE DIFFUSION COEFFICIENT BY OPTIMIZATION FROM THE FINAL OBSERVATION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 219. ISSUE 9. P. 4410 -4422 32 84% 3
6 CHANG, CW , (2010) A FICTITIOUS TIME INTEGRATION METHOD FOR MULTI-DIMENSIONAL BACKWARD HEAT CONDUCTION PROBLEMS.CMC-COMPUTERS MATERIALS & CONTINUA. VOL. 19. ISSUE 3. P. 285 -314 35 80% 3
7 LIU, CS , (2016) HOMOGENIZED FUNCTIONS TO RECOVER H(T)/H(X) BY SOLVING A SMALL SCALE LINEAR SYSTEM OF DIFFERENCING EQUATIONS.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. VOL. 101. ISSUE . P. 1103 -1110 26 93% 0
8 LIU, CS , (2014) LIE-GROUP DIFFERENTIAL ALGEBRAIC EQUATIONS METHOD TO RECOVER HEAT SOURCE IN A CAUCHY PROBLEM WITH ANALYTIC CONTINUATION DATA.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. VOL. 78. ISSUE . P. 538 -547 25 96% 2
9 LIU, CS , (2010) A HIGHLY ACCURATE LGSM FOR SEVERELY ILL-POSED BHCP UNDER A LARGE NOISE ON THE FINAL TIME DATA.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. VOL. 53. ISSUE 19-20. P. 4132-4140 27 96% 4
10 JIN, B , RUNDELL, W , (2015) A TUTORIAL ON INVERSE PROBLEMS FOR ANOMALOUS DIFFUSION PROCESSES.INVERSE PROBLEMS. VOL. 31. ISSUE 3. P. - 34 59% 9

Classes with closest relation at Level 1


Rank Class id link
1 34131 GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT//GRP NUMER ANAL MATH MODELING NAM2//IDENTIFICATION PROBLEMS
2 13310 DATA COMPLETION//CAUCHY PROBLEM//ROBIN INVERSE PROBLEM
3 6067 INVERSE HEAT CONDUCTION PROBLEM//INVERSE HEAT CONDUCTION//CONJUGATE GRADIENT METHOD
4 29071 DYNAMICAL SYSTEMS METHOD DSM//INTEGRO INTERPOLATION//NUMERICAL DIFFERENTIATION
5 18640 WAVELET MULTISCALE METHOD//INVERSE COEFFICIENT PROBLEM//COEFFICIENT IDENTIFICATION
6 14383 REPRODUCING KERNEL SPACE//NONLOCAL BOUNDARY CONDITIONS//REPRODUCING KERNEL METHOD
7 36205 OVERDETERMINATION CONDITION//ULTRAPARABOLIC EQUATIONS//ANISOTROPIC UNIQUENESS CLASS
8 7830 ILL POSED PROBLEM//DISCREPANCY PRINCIPLE//TIKHONOV REGULARIZATION
9 37074 DIAGONAL DOMINANT MATRICES//LAGGED FIBONNACI GENERATOR//SOLUTION OF SYTEM OF LINEAR EQUATIONS
10 2981 METHOD OF FUNDAMENTAL SOLUTIONS//RADIAL BASIS FUNCTIONS//ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

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