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

Basic class information
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
22 4 AUTOMATION & CONTROL SYSTEMS//ENGINEERING, CIVIL//ACOUSTICS 457813
441 3       INVERSE PROBLEMS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE SCATTERING 27955
2090 2             ILL POSED PROBLEM//INVERSE PROBLEM//DISCREPANCY PRINCIPLE 5566
7161 1                   INVERSE HEAT CONDUCTION PROBLEM//INVERSE HEAT CONDUCTION//CONJUGATE GRADIENT METHOD 1426
7586 1                   ILL POSED PROBLEM//DISCREPANCY PRINCIPLE//TIKHONOV REGULARIZATION 1375
11834 1                   UNKNOWN SOURCE//INVERSE SOURCE PROBLEM//UNKNOWN COEFFICIENTS 979
13515 1                   ILL POSED PROBLEM//DATA COMPLETION//BACKWARD HEAT PROBLEM 862
18280 1                   WAVELET MULTISCALE METHOD//INVERSE COEFFICIENT PROBLEM//METHOD OF VARIATIONAL IMBEDDING 584
28696 1                   NUMERICAL DIFFERENTIATION//AUTOMATIC FILTERING//MOLLIFICATION 220
34836 1                   DYNAMICAL SYSTEMS METHOD DSM//MULTIPLICATIVE CALCULUS//NON NEWTONIAN CALCULUS 120

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ILL POSED PROBLEM authKW 1505369 9% 53% 499
2 INVERSE PROBLEM authKW 531437 15% 12% 816
3 DISCREPANCY PRINCIPLE authKW 467313 2% 79% 104
4 INVERSE HEAT CONDUCTION PROBLEM authKW 418758 2% 63% 117
5 TIKHONOV REGULARIZATION authKW 381941 4% 29% 232
6 INVERSE PROBLEMS journal 330945 8% 13% 454
7 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS journal 325146 3% 37% 155
8 REGULARIZATION authKW 292137 8% 12% 431
9 INVERSE PROBLEMS IN SCIENCE AND ENGINEERING journal 275469 4% 24% 206
10 INVERSE HEAT CONDUCTION authKW 204441 1% 59% 61

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 89811 50% 1% 2799
2 Thermodynamics 21674 16% 0% 911
3 Mechanics 12322 17% 0% 949
4 Mathematics, Interdisciplinary Applications 11943 11% 0% 606
5 Engineering, General 11180 11% 0% 625
6 Mathematics 8837 18% 0% 1024
7 Physics, Mathematical 8521 11% 0% 638
8 Engineering, Mechanical 7184 12% 0% 686
9 Automation & Control Systems 423 2% 0% 124
10 Computer Science, Software Engineering 334 2% 0% 127

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IND MATH 83988 1% 19% 77
2 GRP NUMER ANAL MATH MODELING NAM2 59784 0% 81% 13
3 MATH LMI 40250 0% 89% 8
4 GRID PL TECHNOL 30815 0% 78% 7
5 PL ANAL GRP 25457 0% 38% 12
6 PROC POWER ENGN 25354 0% 41% 11
7 EA 2222 23604 0% 38% 11
8 LAMSIN 23485 0% 23% 18
9 CURST 22642 0% 100% 4
10 THERMAL SCI 9113 22642 0% 100% 4

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INVERSE PROBLEMS 330945 8% 13% 454
2 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 325146 3% 37% 155
3 INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 275469 4% 24% 206
4 INVERSE PROBLEMS IN ENGINEERING 54135 1% 26% 37
5 NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS 32794 2% 6% 91
6 INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 23876 5% 2% 278
7 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 23159 2% 5% 89
8 INVERSE PROBLEMS AND IMAGING 16679 1% 8% 38
9 APPLICABLE ANALYSIS 14281 1% 4% 63
10 NUMERICAL HEAT TRANSFER PART A-APPLICATIONS 9194 1% 2% 67

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ILL POSED PROBLEM 1505369 9% 53% 499 Search ILL+POSED+PROBLEM Search ILL+POSED+PROBLEM
2 INVERSE PROBLEM 531437 15% 12% 816 Search INVERSE+PROBLEM Search INVERSE+PROBLEM
3 DISCREPANCY PRINCIPLE 467313 2% 79% 104 Search DISCREPANCY+PRINCIPLE Search DISCREPANCY+PRINCIPLE
4 INVERSE HEAT CONDUCTION PROBLEM 418758 2% 63% 117 Search INVERSE+HEAT+CONDUCTION+PROBLEM Search INVERSE+HEAT+CONDUCTION+PROBLEM
5 TIKHONOV REGULARIZATION 381941 4% 29% 232 Search TIKHONOV+REGULARIZATION Search TIKHONOV+REGULARIZATION
6 REGULARIZATION 292137 8% 12% 431 Search REGULARIZATION Search REGULARIZATION
7 INVERSE HEAT CONDUCTION 204441 1% 59% 61 Search INVERSE+HEAT+CONDUCTION Search INVERSE+HEAT+CONDUCTION
8 NONLINEAR ILL POSED PROBLEMS 147009 1% 84% 31 Search NONLINEAR+ILL+POSED+PROBLEMS Search NONLINEAR+ILL+POSED+PROBLEMS
9 DATA COMPLETION 134051 1% 79% 30 Search DATA+COMPLETION Search DATA+COMPLETION
10 CONJUGATE GRADIENT METHOD 132526 2% 18% 132 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.

Classes with closest relation at Level 2


rank cluster_id2 link
1 2496 INVERSE PROBLEMS//INVERSE SCATTERING//TRANSMISSION EIGENVALUES
2 1712 CARLEMAN ESTIMATES//NULL CONTROLLABILITY//GENERAL DECAY
3 574 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//MESHLESS METHOD//BOUNDARY ELEMENT METHOD
4 680 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
5 2062 JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER//RADIATIVE HEAT TRANSFER//DISCRETE ORDINATES METHOD
6 3305 GENERALIZED MAXIMUM ENTROPY//LAPLACE TRANSFORM INVERSION//FRACTIONAL MOMENTS
7 3319 PROPER ORTHOGONAL DECOMPOSITION//REDUCED BASIS METHOD//REDUCED ORDER MODEL
8 2987 DISTRIBUTED PARAMETER SYSTEMS//INFINITE DIMENSIONAL SYSTEMS//BOUNDARY CONTROL
9 3616 TOTAL LEAST SQUARES//STRUCTURED TOTAL LEAST SQUARES//SINGULAR SPECTRUM ANALYSIS
10 2262 ELECTRICAL IMPEDANCE TOMOGRAPHY//ELECTRICAL CAPACITANCE TOMOGRAPHY//PHYSIOLOGICAL MEASUREMENT

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