Class information for:
Level 1: WEEKS METHOD//SLOWLY CONVERGENT SERIES//LAPLACE TRANSFORM INVERSION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28552 204 15.9 28%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
383 3       STATISTICS & PROBABILITY//ANNALS OF PROBABILITY//STOCHASTIC PROCESSES AND THEIR APPLICATIONS 31557
3975 2             LAPLACE TRANSFORM INVERSION//FRACTIONAL MOMENTS//MOMENT PROBLEM 725
28552 1                   WEEKS METHOD//SLOWLY CONVERGENT SERIES//LAPLACE TRANSFORM INVERSION 204

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 WEEKS METHOD authKW 598734 2% 100% 4
2 SLOWLY CONVERGENT SERIES authKW 598730 3% 67% 6
3 LAPLACE TRANSFORM INVERSION authKW 346397 4% 26% 9
4 INVERSION OF LAPLACE TRANSFORM authKW 342130 2% 57% 4
5 TALBOTS METHOD authKW 340184 2% 45% 5
6 LAPLACE TRANSFORM REAL INVERSION authKW 299367 1% 100% 2
7 MULTIDIMENSIONAL LAPLACE TRANSFORMS authKW 299367 1% 100% 2
8 SLOWLY CONVERGENT POWER SERIES authKW 299367 1% 100% 2
9 NUMERICAL LAPLACE TRANSFORM INVERSION authKW 266099 2% 44% 4
10 FILTER FUNCTION authKW 244928 3% 27% 6

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 5530 65% 0% 132
2 Physics, Mathematical 391 13% 0% 26
3 Mathematics 213 15% 0% 31
4 Computer Science, Software Engineering 183 7% 0% 15
5 Computer Science, Interdisciplinary Applications 64 5% 0% 11
6 Mechanics 49 6% 0% 13
7 Computer Science, Theory & Methods 38 4% 0% 9
8 Engineering, General 30 3% 0% 7
9 Computer Science, Cybernetics 19 1% 0% 2
10 Mathematics, Interdisciplinary Applications 16 2% 0% 5

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 EXPLORAT DEV CHINA 149683 0% 100% 1
2 M RIZZARDI DIPARTIMENTO SCI TECNOL 149683 0% 100% 1
3 SECTOR ADVANCE ENGN 149683 0% 100% 1
4 SURVEYING GEOMAT ENGNG 149683 0% 100% 1
5 CR MECHATRON ENGN AEH1 74841 0% 50% 1
6 RIC CALCOLO PARALLELO SUPERCALCOLATORI 74841 0% 50% 1
7 PARALLEL COMP SUPERCOMP 54427 1% 18% 2
8 MECHATRON ENGN GRP 49893 0% 33% 1
9 CRAMS 37419 0% 25% 1
10 DIPARTIMENTO STUDI AZIENDALI QUANTITATIVI 37419 0% 25% 1

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 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 12906 5% 1% 10
2 INVERSE PROBLEMS 9850 7% 0% 15
3 MATHEMATICS OF COMPUTATION 9645 8% 0% 16
4 NUMERICAL ALGORITHMS 8380 5% 1% 10
5 INVERSE PROBLEMS IN ENGINEERING 4183 1% 1% 2
6 NUMERISCHE MATHEMATIK 4056 4% 0% 9
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2885 7% 0% 14
8 COMMUNICATIONS IN APPLIED MATHEMATICS AND COMPUTATIONAL SCIENCE 2493 0% 2% 1
9 BIT 1593 1% 1% 2
10 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 1568 1% 1% 2

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 WEEKS METHOD 598734 2% 100% 4 Search WEEKS+METHOD Search WEEKS+METHOD
2 SLOWLY CONVERGENT SERIES 598730 3% 67% 6 Search SLOWLY+CONVERGENT+SERIES Search SLOWLY+CONVERGENT+SERIES
3 LAPLACE TRANSFORM INVERSION 346397 4% 26% 9 Search LAPLACE+TRANSFORM+INVERSION Search LAPLACE+TRANSFORM+INVERSION
4 INVERSION OF LAPLACE TRANSFORM 342130 2% 57% 4 Search INVERSION+OF+LAPLACE+TRANSFORM Search INVERSION+OF+LAPLACE+TRANSFORM
5 TALBOTS METHOD 340184 2% 45% 5 Search TALBOTS+METHOD Search TALBOTS+METHOD
6 LAPLACE TRANSFORM REAL INVERSION 299367 1% 100% 2 Search LAPLACE+TRANSFORM+REAL+INVERSION Search LAPLACE+TRANSFORM+REAL+INVERSION
7 MULTIDIMENSIONAL LAPLACE TRANSFORMS 299367 1% 100% 2 Search MULTIDIMENSIONAL+LAPLACE+TRANSFORMS Search MULTIDIMENSIONAL+LAPLACE+TRANSFORMS
8 SLOWLY CONVERGENT POWER SERIES 299367 1% 100% 2 Search SLOWLY+CONVERGENT+POWER+SERIES Search SLOWLY+CONVERGENT+POWER+SERIES
9 NUMERICAL LAPLACE TRANSFORM INVERSION 266099 2% 44% 4 Search NUMERICAL+LAPLACE+TRANSFORM+INVERSION Search NUMERICAL+LAPLACE+TRANSFORM+INVERSION
10 FILTER FUNCTION 244928 3% 27% 6 Search FILTER+FUNCTION Search FILTER+FUNCTION

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 IQBAL, M , (2005) NUMERICAL SOLUTIONS OF LINEAR ILL-POSED PROBLEMS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 16. ISSUE 1. P. 29-37 7 100% 0
2 GAUTSCHI, W , (2010) THE SPIRAL OF THEODORUS, NUMERICAL ANALYSIS, AND SPECIAL FUNCTIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 235. ISSUE 4. P. 1042-1052 5 100% 1
3 MURLI, A , D'AMORE, L , CAMPAGNA, R , MELE, V , (2014) ALGORITHM 946: RELIADIFF-A C PLUS PLUS SOFTWARE PACKAGE FOR REAL LAPLACE TRANSFORM INVERSION BASED ON ALGORITHMIC DIFFERENTIATION.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 40. ISSUE 4. P. - 9 50% 0
4 D'AMORE, L , MURLI, A , (2002) REGULARIZATION OF A FOURIER SERIES METHOD FOR THE LAPLACE TRANSFORM INVERSION WITH REAL DATA.INVERSE PROBLEMS. VOL. 18. ISSUE 4. P. 1185-1205 7 88% 5
5 MASJED-JAMEI, M , DEHGHAN, M , (2005) ON RATIONAL CLASSICAL ORTHOGONAL POLYNOMIALS AND THEIR APPLICATION FOR EXPLICIT COMPUTATION OF INVERSE LAPLACE TRANSFORMS.MATHEMATICAL PROBLEMS IN ENGINEERING. VOL. . ISSUE 2. P. 215-230 6 86% 1
6 KRYZHNIY, VV , (2003) REGULARIZING OPERATORS OF REAL-VALUED INVERSE LAPLACE TRANSFORMATION.INVERSE PROBLEMS IN ENGINEERING. VOL. 11. ISSUE 6. P. 561-574 6 86% 0
7 LEU, JF , TSAY, SY , HWANG, C , (2000) USE OF B-SPLINES TO OBTAIN ACCURATE TRANSIENT RESPONSES FOR FEEDBACK CONTROL SYSTEMS WITH TIME DELAYS.CHEMICAL ENGINEERING COMMUNICATIONS. VOL. 178. ISSUE . P. 199-219 7 78% 2
8 WEIDEMAN, JAC , (1999) ALGORITHMS FOR PARAMETER SELECTION IN THE WEEKS METHOD FOR INVERTING THE LAPLACE TRANSFORM.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 21. ISSUE 1. P. 111-128 6 86% 22
9 ABATE, J , VALKO, PP , (2004) MULTI-PRECISION LAPLACE TRANSFORM INVERSION.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING. VOL. 60. ISSUE 5. P. 979-993 5 71% 180
10 ASH, JM , CATOIU, S , (2016) MULTIDIMENSIONAL RIEMANN DERIVATIVES.STUDIA MATHEMATICA. VOL. 235. ISSUE 1. P. 87 -100 3 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 19111 FRACTIONAL MOMENTS//MOMENT PROBLEM//ENTHALPY DISTRIBUTION
2 15853 CONVERGENCE ACCELERATION//MULTIVARIATE PADE APPROXIMANTS//SEQUENCE TRANSFORMATIONS
3 16120 EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL
4 26896 FERMI DIRAC INTEGRAL//CHANDRASEKHAR H FUNCTION//GENERALIZED FERMI DIRAC INTEGRAL
5 15382 PHOTON DENSITY WAVE SPECTROSCOPY//INNOFSPEC POTSDAM//PARTICLE SIZING
6 7830 ILL POSED PROBLEM//DISCREPANCY PRINCIPLE//TIKHONOV REGULARIZATION
7 27393 RENEWAL FUNCTION//AUTOPSY MODEL//MOMENTS BASED APPROXIMATION
8 15602 REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS
9 23214 LAGRANGE POLYNOMIALS//KAMPE DE FERIET FUNCTION//LAGRANGE HERMITE POLYNOMIALS
10 28344 SOLVABLE DYNAMICAL SYSTEMS//ISOCHRONOUS DYNAMICAL SYSTEMS//INTEGRABLE DYNAMICAL SYSTEMS

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