Class information for:
Level 2: ILL POSED PROBLEM//INVERSE HEAT CONDUCTION PROBLEM//DISCREPANCY PRINCIPLE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1985 5570 21.1 42%


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
6067 1                   INVERSE HEAT CONDUCTION PROBLEM//INVERSE HEAT CONDUCTION//CONJUGATE GRADIENT METHOD 1536
7697 1                   ILL POSED PROBLEM//INVERSE SOURCE PROBLEM//BACKWARD HEAT PROBLEM 1339
7830 1                   ILL POSED PROBLEM//DISCREPANCY PRINCIPLE//TIKHONOV REGULARIZATION 1322
18640 1                   WAVELET MULTISCALE METHOD//INVERSE COEFFICIENT PROBLEM//COEFFICIENT IDENTIFICATION 542
23800 1                   ABSOLUTE NEIGHBORHOOD MULTI RETRACTS//NON CLASSICAL HEAT EQUATION//MOVABLE SPACE 334
29071 1                   DYNAMICAL SYSTEMS METHOD DSM//INTEGRO INTERPOLATION//NUMERICAL DIFFERENTIATION 193
34131 1                   GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT//GRP NUMER ANAL MATH MODELING NAM2//IDENTIFICATION PROBLEMS 115
35166 1                   MORLET POWER SPECTRUM//REGULARIZING ITERATION SCHEMES//ALGORITHM FOR SOLUTION 101
35999 1                   ANODIC MATRICES//ASH CONTENT IN GRAPHITE//CARBON NANOSTRUCTURE SYNTHESIS 88

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 1109513 8% 48% 426
2 INVERSE HEAT CONDUCTION PROBLEM authKW 428654 2% 67% 116
3 DISCREPANCY PRINCIPLE authKW 424409 2% 79% 98
4 INVERSE PROBLEM authKW 421243 13% 11% 722
5 TIKHONOV REGULARIZATION authKW 319375 4% 28% 210
6 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS journal 273747 2% 36% 138
7 INVERSE PROBLEMS IN SCIENCE AND ENGINEERING journal 248040 3% 23% 193
8 INVERSE PROBLEMS journal 242570 7% 11% 389
9 REGULARIZATION authKW 225475 7% 11% 376
10 INVERSE HEAT CONDUCTION authKW 181638 1% 58% 57

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 83926 49% 1% 2708
2 Thermodynamics 22612 17% 0% 932
3 Mechanics 12541 17% 0% 954
4 Mathematics, Interdisciplinary Applications 9444 10% 0% 541
5 Mathematics 9095 19% 0% 1035
6 Engineering, General 8981 10% 0% 561
7 Engineering, Mechanical 7294 12% 0% 689
8 Physics, Mathematical 6080 10% 0% 546
9 Automation & Control Systems 480 2% 0% 129
10 Computer Science, Software Engineering 262 2% 0% 116

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 IND MATH 68368 1% 18% 69
2 GRP NUMER ANAL MATH MODELING NAM2 60702 0% 92% 12
3 MATH LMI 32881 0% 100% 6
4 GRID PL TECHNOL 29834 0% 78% 7
5 UMR 6608 24988 0% 21% 22
6 PROC POWER ENGN 24546 0% 41% 11
7 CURST 21921 0% 100% 4
8 THERMAL SCI 9113 21921 0% 100% 4
9 SYST NAVAL MECHATRON ENGN 18708 1% 10% 33
10 MATH 17430 22% 0% 1201

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 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 273747 2% 36% 138
2 INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 248040 3% 23% 193
3 INVERSE PROBLEMS 242570 7% 11% 389
4 NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS 38766 2% 7% 99
5 INVERSE PROBLEMS IN ENGINEERING 36780 1% 22% 31
6 INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 25948 5% 2% 287
7 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 19094 1% 4% 81
8 APPLICABLE ANALYSIS 15702 1% 4% 65
9 INVERSE PROBLEMS AND IMAGING 12609 1% 7% 33
10 NUMERICAL HEAT TRANSFER PART A-APPLICATIONS 10043 1% 3% 70

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 1109513 8% 48% 426 Search ILL+POSED+PROBLEM Search ILL+POSED+PROBLEM
2 INVERSE HEAT CONDUCTION PROBLEM 428654 2% 67% 116 Search INVERSE+HEAT+CONDUCTION+PROBLEM Search INVERSE+HEAT+CONDUCTION+PROBLEM
3 DISCREPANCY PRINCIPLE 424409 2% 79% 98 Search DISCREPANCY+PRINCIPLE Search DISCREPANCY+PRINCIPLE
4 INVERSE PROBLEM 421243 13% 11% 722 Search INVERSE+PROBLEM Search INVERSE+PROBLEM
5 TIKHONOV REGULARIZATION 319375 4% 28% 210 Search TIKHONOV+REGULARIZATION Search TIKHONOV+REGULARIZATION
6 REGULARIZATION 225475 7% 11% 376 Search REGULARIZATION Search REGULARIZATION
7 INVERSE HEAT CONDUCTION 181638 1% 58% 57 Search INVERSE+HEAT+CONDUCTION Search INVERSE+HEAT+CONDUCTION
8 INVERSE SOURCE PROBLEM 144215 1% 42% 62 Search INVERSE+SOURCE+PROBLEM Search INVERSE+SOURCE+PROBLEM
9 NONLINEAR ILL POSED PROBLEMS 142327 1% 84% 31 Search NONLINEAR+ILL+POSED+PROBLEMS Search NONLINEAR+ILL+POSED+PROBLEMS
10 CONJUGATE GRADIENT METHOD 140952 2% 19% 136 Search CONJUGATE+GRADIENT+METHOD Search CONJUGATE+GRADIENT+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 MIERZWICZAK, M , KOLODZIEJ, JA , (2011) THE DETERMINATION OF HEAT SOURCES IN TWO DIMENSIONAL INVERSE STEADY HEAT PROBLEMS BY MEANS OF THE METHOD OF FUNDAMENTAL SOLUTIONS.INVERSE PROBLEMS IN SCIENCE AND ENGINEERING. VOL. 19. ISSUE 6. P. 777 -792 48 100% 9
2 GAZZOLA, S , NOVATI, P , RUSSO, MR , (2015) ON KRYLOV PROJECTION METHODS AND TIKHONOV REGULARIZATION.ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. VOL. 44. ISSUE . P. 83 -123 44 90% 7
3 LIU, CS , CHANG, CW , (2015) A SIMPLE ALGORITHM FOR SOLVING CAUCHY PROBLEM OF NONLINEAR HEAT EQUATION WITHOUT INITIAL VALUE.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. VOL. 80. ISSUE . P. 562 -569 45 90% 1
4 MIERZWICZAK, M , KOLODZIEJ, JA , (2010) APPLICATION OF THE METHOD OF FUNDAMENTAL SOLUTIONS AND RADIAL BASIS FUNCTIONS FOR INVERSE TRANSIENT HEAT SOURCE PROBLEM.COMPUTER PHYSICS COMMUNICATIONS. VOL. 181. ISSUE 12. P. 2035-2043 48 91% 13
5 MIERZWICZAK, M , KOLODZIEJ, JA , (2011) THE DETERMINATION TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY AS INVERSE STEADY HEAT CONDUCTION PROBLEM.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. VOL. 54. ISSUE 4. P. 790-796 46 88% 22
6 CHANG, CW , LIU, CS , CHANG, JR , (2005) A GROUP PRESERVING SCHEME FOR INVERSE HEAT CONDUCTION PROBLEMS.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES. VOL. 10. ISSUE 1. P. 13 -38 53 88% 41
7 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
8 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 32 100% 0
9 ZHENG, GH , WEI, T , (2014) RECOVERING THE SOURCE AND INITIAL VALUE SIMULTANEOUSLY IN A PARABOLIC EQUATION.INVERSE PROBLEMS. VOL. 30. ISSUE 6. P. - 40 80% 2
10 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 35 92% 3

Classes with closest relation at Level 2


Rank Class id link
1 1984 INVERSE PROBLEMS//INVERSE SCATTERING//TOPOLOGICAL DERIVATIVE
2 3975 LAPLACE TRANSFORM INVERSION//FRACTIONAL MOMENTS//MOMENT PROBLEM
3 3615 STEFAN PROBLEM//HEAT BALANCE INTEGRAL METHOD//ELASTIC TUBES
4 2139 DISTRIBUTED PARAMETER SYSTEMS//CARLEMAN ESTIMATES//NULL CONTROLLABILITY
5 3169 OPTIMAL CONTROL//STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM
6 2752 BIOHEAT TRANSFER//HYPERBOLIC HEAT CONDUCTION//THERMOGRAPHY
7 1289 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//BOUNDARY ELEMENT METHOD//METHOD OF FUNDAMENTAL SOLUTIONS
8 3469 NORMAL DEPTH//NEFTYANOE KHOZYAISTVO//UNCONFINED SEEPAGE
9 1925 JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER//RADIATIVE HEAT TRANSFER//DISCRETE ORDINATES METHOD
10 2845 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS

Go to start page