Class information for:
Level 1: NUMERICAL DIFFERENTIATION//AUTOMATIC FILTERING//MOLLIFICATION

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
28696 1                   NUMERICAL DIFFERENTIATION//AUTOMATIC FILTERING//MOLLIFICATION 220

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NUMERICAL DIFFERENTIATION authKW 1585168 20% 25% 45
2 AUTOMATIC FILTERING authKW 773588 4% 60% 9
3 MOLLIFICATION authKW 316145 4% 28% 8
4 DISCRETE MOLLIFICATION METHOD authKW 286517 1% 100% 2
5 EQUIPE ALIEN address 286517 1% 100% 2
6 HIGH PRESSURE COMMON RAIL INJECTION SYSTEM authKW 286517 1% 100% 2
7 IPI CONTROLLER authKW 286517 1% 100% 2
8 NOISE ERROR ANALYSIS authKW 286517 1% 100% 2
9 PL MATH METROL L2MA address 286517 1% 100% 2
10 TIME DERIVATIVE ESTIMATION authKW 286517 1% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 2425 42% 0% 92
2 Automation & Control Systems 1385 17% 0% 37
3 Engineering, General 282 9% 0% 20
4 Thermodynamics 174 8% 0% 17
5 Mathematics, Interdisciplinary Applications 150 6% 0% 14
6 Engineering, Mechanical 129 9% 0% 19
7 Mathematics 106 11% 0% 24
8 Engineering, Electrical & Electronic 74 13% 0% 29
9 Computer Science, Interdisciplinary Applications 27 4% 0% 8
10 Physics, Mathematical 17 3% 0% 7

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EQUIPE ALIEN 286517 1% 100% 2
2 PL MATH METROL L2MA 286517 1% 100% 2
3 C T1C UFR SEN 143258 0% 100% 1
4 CNRSUMR 8416 143258 0% 100% 1
5 ECS EA 143258 0% 100% 1
6 EQUIPE MAX 143258 0% 100% 1
7 FAK ELEKTROTECHN INFORMATIONSTECHN 143258 0% 100% 1
8 FUTURS RECH AUTOMAT NANCY 143258 0% 100% 1
9 FUTURS STIX 143258 0% 100% 1
10 FUTURS UFR MATH INFORMAT 143258 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMPUTERS & MATHEMATICS WITH APPLICATIONS 6440 10% 0% 21
2 AT-AUTOMATISIERUNGSTECHNIK 5604 2% 1% 5
3 JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER 5492 5% 0% 10
4 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 2996 1% 1% 2
5 INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 2624 2% 0% 4
6 JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES 2354 1% 1% 2
7 COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART B 1835 0% 1% 1
8 AMERICAN MATHEMATICAL MONTHLY 1285 2% 0% 5
9 NUMERICAL ALGORITHMS 1215 2% 0% 4
10 INVERSE PROBLEMS IN ENGINEERING 1000 0% 1% 1

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 NUMERICAL DIFFERENTIATION 1585168 20% 25% 45 Search NUMERICAL+DIFFERENTIATION Search NUMERICAL+DIFFERENTIATION
2 AUTOMATIC FILTERING 773588 4% 60% 9 Search AUTOMATIC+FILTERING Search AUTOMATIC+FILTERING
3 MOLLIFICATION 316145 4% 28% 8 Search MOLLIFICATION Search MOLLIFICATION
4 DISCRETE MOLLIFICATION METHOD 286517 1% 100% 2 Search DISCRETE+MOLLIFICATION+METHOD Search DISCRETE+MOLLIFICATION+METHOD
5 HIGH PRESSURE COMMON RAIL INJECTION SYSTEM 286517 1% 100% 2 Search HIGH+PRESSURE+COMMON+RAIL+INJECTION+SYSTEM Search HIGH+PRESSURE+COMMON+RAIL+INJECTION+SYSTEM
6 IPI CONTROLLER 286517 1% 100% 2 Search IPI+CONTROLLER Search IPI+CONTROLLER
7 NOISE ERROR ANALYSIS 286517 1% 100% 2 Search NOISE+ERROR+ANALYSIS Search NOISE+ERROR+ANALYSIS
8 TIME DERIVATIVE ESTIMATION 286517 1% 100% 2 Search TIME+DERIVATIVE+ESTIMATION Search TIME+DERIVATIVE+ESTIMATION
9 TSVD METHOD 286517 1% 100% 2 Search TSVD+METHOD Search TSVD+METHOD
10 DISCRETE MOLLIFICATION 254677 2% 44% 4 Search DISCRETE+MOLLIFICATION Search DISCRETE+MOLLIFICATION

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 1



rank cluster_id2 link
1 13515 ILL POSED PROBLEM//DATA COMPLETION//BACKWARD HEAT PROBLEM
2 7586 ILL POSED PROBLEM//DISCREPANCY PRINCIPLE//TIKHONOV REGULARIZATION
3 30651 STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS
4 27886 RELAXATION SPECTRUM//LOGARITHMIC SAMPLING//NONTANGENTIAL BOUNDARY VALUES
5 18280 WAVELET MULTISCALE METHOD//INVERSE COEFFICIENT PROBLEM//METHOD OF VARIATIONAL IMBEDDING
6 7161 INVERSE HEAT CONDUCTION PROBLEM//INVERSE HEAT CONDUCTION//CONJUGATE GRADIENT METHOD
7 34836 DYNAMICAL SYSTEMS METHOD DSM//MULTIPLICATIVE CALCULUS//NON NEWTONIAN CALCULUS
8 30709 COMPLEX HYPERSPHERE//MAXIMAL BRANCHING PROCESS//PERMUTATION FORMULA
9 36063 4 VINYL 2 NITRODIPHENYLMETHYL CARBOXYLATES//ACTIVE HYDROGEN COMPOUND//DARWIN SYSTEMS
10 11834 UNKNOWN SOURCE//INVERSE SOURCE PROBLEM//UNKNOWN COEFFICIENTS

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