Class information for:
Level 1: ORTHOGONAL SPLINE COLLOCATION//MATRIX DECOMPOSITION ALGORITHMS//ALMOST BLOCK DIAGONAL SYSTEMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18733 537 17.7 32%


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
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
895 2             SHISHKIN MESH//SINGULAR PERTURBATION//MATHEMATICS, APPLIED 11341
18733 1                   ORTHOGONAL SPLINE COLLOCATION//MATRIX DECOMPOSITION ALGORITHMS//ALMOST BLOCK DIAGONAL SYSTEMS 537

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 ORTHOGONAL SPLINE COLLOCATION authKW 1332768 6% 76% 31
2 MATRIX DECOMPOSITION ALGORITHMS authKW 454894 1% 100% 8
3 ALMOST BLOCK DIAGONAL SYSTEMS authKW 284309 1% 100% 5
4 DIFFERENTIAL MATRIX RICCATI EQUATION DMRE authKW 227447 1% 100% 4
5 PIECEWISE HERMITE BICUBICS authKW 227447 1% 100% 4
6 GAUSS POINTS authKW 200241 2% 39% 9
7 SPLINE COLLOCATION authKW 191103 2% 31% 11
8 ALGEBRAIC MATRIX SYLVESTER EQUATION AMSE authKW 170585 1% 100% 3
9 NODAL COLLOCATION authKW 170585 1% 100% 3
10 PIECEWISE HERMITE CUBICS authKW 170585 1% 100% 3

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 15034 66% 0% 353
2 Computer Science, Software Engineering 868 10% 0% 52
3 Computer Science, Interdisciplinary Applications 369 8% 0% 41
4 Mechanics 211 8% 0% 42
5 Mathematics 204 10% 0% 53
6 Mathematics, Interdisciplinary Applications 185 5% 0% 25
7 Computer Science, Theory & Methods 160 5% 0% 29
8 Engineering, General 146 4% 0% 24
9 Physics, Mathematical 89 4% 0% 23
10 Automation & Control Systems 84 3% 0% 16

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 ARMY MIL PERSONNEL STRUCT PLANS G1 56862 0% 100% 1
2 MMNISA 56862 0% 100% 1
3 NUCLEO ARQ COMP SISTEMAS OPERACIONAIS 56862 0% 100% 1
4 P MATH COMP 56862 0% 100% 1
5 POPOVICIU NUMER ANAL 56862 0% 100% 1
6 SIS INFORMAT 56862 0% 100% 1
7 5200 28430 0% 50% 1
8 CHINA EDUC MINISTRY 28430 0% 50% 1
9 DYNAM MACRO ECON ANAL 28430 0% 50% 1
10 MOBIL UPSTREAM STRATEG 28430 0% 50% 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 SIAM JOURNAL ON NUMERICAL ANALYSIS 45135 11% 1% 57
2 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 33143 5% 2% 26
3 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 9454 3% 1% 15
4 IMA JOURNAL OF NUMERICAL ANALYSIS 8824 3% 1% 15
5 NUMERISCHE MATHEMATIK 6155 3% 1% 18
6 SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING 5407 2% 1% 9
7 SOVIET JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING 3918 0% 3% 2
8 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 3253 1% 1% 7
9 MATHEMATICS OF COMPUTATION 3201 3% 0% 15
10 BIT 2418 1% 1% 4

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 ORTHOGONAL SPLINE COLLOCATION 1332768 6% 76% 31 Search ORTHOGONAL+SPLINE+COLLOCATION Search ORTHOGONAL+SPLINE+COLLOCATION
2 MATRIX DECOMPOSITION ALGORITHMS 454894 1% 100% 8 Search MATRIX+DECOMPOSITION+ALGORITHMS Search MATRIX+DECOMPOSITION+ALGORITHMS
3 ALMOST BLOCK DIAGONAL SYSTEMS 284309 1% 100% 5 Search ALMOST+BLOCK+DIAGONAL+SYSTEMS Search ALMOST+BLOCK+DIAGONAL+SYSTEMS
4 DIFFERENTIAL MATRIX RICCATI EQUATION DMRE 227447 1% 100% 4 Search DIFFERENTIAL+MATRIX+RICCATI+EQUATION+DMRE Search DIFFERENTIAL+MATRIX+RICCATI+EQUATION+DMRE
5 PIECEWISE HERMITE BICUBICS 227447 1% 100% 4 Search PIECEWISE+HERMITE+BICUBICS Search PIECEWISE+HERMITE+BICUBICS
6 GAUSS POINTS 200241 2% 39% 9 Search GAUSS+POINTS Search GAUSS+POINTS
7 SPLINE COLLOCATION 191103 2% 31% 11 Search SPLINE+COLLOCATION Search SPLINE+COLLOCATION
8 ALGEBRAIC MATRIX SYLVESTER EQUATION AMSE 170585 1% 100% 3 Search ALGEBRAIC+MATRIX+SYLVESTER+EQUATION+AMSE Search ALGEBRAIC+MATRIX+SYLVESTER+EQUATION+AMSE
9 NODAL COLLOCATION 170585 1% 100% 3 Search NODAL+COLLOCATION Search NODAL+COLLOCATION
10 PIECEWISE HERMITE CUBICS 170585 1% 100% 3 Search PIECEWISE+HERMITE+CUBICS Search PIECEWISE+HERMITE+CUBICS

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 BIALECKI, B , FAIRWEATHER, G , (2001) ORTHOGONAL SPLINE COLLOCATION METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 128. ISSUE 1-2. P. 55 -82 52 76% 60
2 AMODIO, P , CASH, JR , ROUSSOS, G , WRIGHT, RW , FAIRWEATHER, G , GLADWELL, I , KRAUT, GL , PAPRZYCKI, M , (2000) ALMOST BLOCK DIAGONAL LINEAR SYSTEMS: SEQUENTIAL AND PARALLEL SOLUTION TECHNIQUES, AND APPLICATIONS.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. VOL. 7. ISSUE 5. P. 275 -317 49 64% 18
3 MUIR, PH , PANCER, RN , JACKSON, KR , (2003) PMIRKDC: A PARALLEL MONO-IMPLICIT RUNGE-KUTTA CODE WITH DEFECT CONTROL FOR BOUNDARY VALUE ODES.PARALLEL COMPUTING. VOL. 29. ISSUE 6. P. 711-741 31 65% 2
4 BIALECKI, B , FAIRWEATHER, G , KARAGEORGHIS, A , (2011) MATRIX DECOMPOSITION ALGORITHMS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS: A SURVEY.NUMERICAL ALGORITHMS. VOL. 56. ISSUE 2. P. 253 -295 42 31% 14
5 AMODIO, P , ROMANAZZI, G , (2006) ALGORITHM 859: BABDCR - A FORTRAN 90 PACKAGE FOR THE SOLUTION OF BORDERED ABD LINEAR SYSTEMS.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. VOL. 32. ISSUE 4. P. 597-608 13 100% 1
6 AITBAYEV, R , BIALECKI, B , (2003) A PRECONDITIONED CONJUGATE GRADIENT METHOD FOR NONSELFADJOINT OR INDEFINITE ORTHOGONAL SPLINE COLLOCATION PROBLEMS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 41. ISSUE 2. P. 589-604 18 78% 1
7 AITBAYEV, R , (2005) MULTILEVEL PRECONDITIONERS FOR NON-SELF-ADJOINT OR INDEFINITE ORTHOGONAL SPLINE COLLOCATION PROBLEMS.SIAM JOURNAL ON NUMERICAL ANALYSIS. VOL. 43. ISSUE 2. P. 686-706 19 66% 1
8 KHEBCHAREON, M , PANI, AK , FAIRWEATHER, G , (2016) CONVERGENCE ANALYSES OF CRANK-NICOLSON ORTHOGONAL SPLINE COLLOCATION METHODS FOR LINEAR PARABOLIC PROBLEMS IN TWO SPACE VARIABLES.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING. VOL. 13. ISSUE 1. P. 58 -72 9 100% 0
9 BIALECKI, B , FAIRWEATHER, G , (1995) MATRIX DECOMPOSITION ALGORITHMS IN ORTHOGONAL SPLINE COLLOCATION FOR SEPARABLE ELLIPTIC BOUNDARY-VALUE-PROBLEMS.SIAM JOURNAL ON SCIENTIFIC COMPUTING. VOL. 16. ISSUE 2. P. 330-347 15 100% 7
10 WU, JM , SHEN, LJ , (2002) SPECTRAL ANALYSIS OF THE FIRST-ORDER HERMITE CUBIC SPLINE COLLOCATION DIFFERENTIATION MATRICES.JOURNAL OF COMPUTATIONAL MATHEMATICS. VOL. 20. ISSUE 5. P. 551-560 11 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 23134 TIME SINGULARITIES//CONSTANT ASTIGMATISM EQUATION//TIME SINGULARITY OF THE FIRST KIND
2 17717 TRIDIAGONAL MATRICES//JORDANS FORM//TRIDIAGONAL LINEAR SYSTEMS
3 33133 GAUSSIAN APPROXIMATING FUNCTIONS//APPROXIMATE APPROXIMATIONS//APPROXIMATE FACTORIZATION ERRORS
4 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
5 9716 SPECTRAL METHODS//SEMI INFINITE INTERVAL//NONHOMOGENEOUS DIRICHLET CONDITIONS
6 34256 ASYMPTOTIC NATURE//EXTENDED REAL STABILITY BOUNDARIES//LAMBERTS METHOD
7 4898 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS
8 18023 HIGH ORDER COMPACT SCHEME//UNSTEADY CONVECTION DIFFUSION EQUATION//HIGH PERFORMANCE SCI COMP COMP SIMULAT
9 6945 SHISHKIN MESH//SINGULAR PERTURBATION//LAYER ADAPTED MESH
10 29437 WOOD BASED COMPOSITE MATERIALS//PROBLEM SOLVING ENVIRONMENT//INTERFACE RELAXATION

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