Class information for:
Level 1: SHISHKIN MESH//SINGULAR PERTURBATION//LAYER ADAPTED MESH

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
6945 1426 18.3 37%


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
6945 1                   SHISHKIN MESH//SINGULAR PERTURBATION//LAYER ADAPTED MESH 1426

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 SHISHKIN MESH authKW 3186824 11% 93% 160
2 SINGULAR PERTURBATION authKW 1551462 26% 19% 375
3 LAYER ADAPTED MESH authKW 952015 3% 91% 49
4 SINGULAR PERTURBATION PROBLEMS authKW 864779 5% 53% 76
5 UNIFORM CONVERGENCE authKW 855495 9% 30% 132
6 SINGULARLY PERTURBED authKW 808962 4% 67% 56
7 SINGULARLY PERTURBED PROBLEM authKW 696429 5% 49% 67
8 EPSILON UNIFORM CONVERGENCE authKW 495636 2% 93% 25
9 PIECEWISE UNIFORM MESH authKW 452311 2% 81% 26
10 SINGULARLY PERTURBED PARABOLIC PROBLEM authKW 342586 1% 100% 16

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 58893 80% 0% 1134
2 Mathematics 2233 18% 0% 260
3 Mathematics, Interdisciplinary Applications 764 6% 0% 81
4 Engineering, General 630 6% 0% 79
5 Mechanics 591 8% 0% 114
6 Physics, Mathematical 475 6% 0% 82
7 Computer Science, Theory & Methods 158 4% 0% 51
8 Computer Science, Interdisciplinary Applications 96 3% 0% 41
9 Operations Research & Management Science 94 2% 0% 33
10 Computer Science, Software Engineering 33 2% 0% 23

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 FUNDAMENTAL DISCIPLINES 237173 1% 92% 12
2 NUMER MATH 106935 5% 7% 76
3 PL MATH INFORMAT TECHNOL IMATI 42823 0% 100% 2
4 MATH MECH 40776 6% 2% 82
5 SMCA 24084 0% 38% 3
6 BHARATI VIDY EETHS ENGN 21412 0% 100% 1
7 ESCUELA UNIV TERUEL 21412 0% 100% 1
8 F NUMER MATH 21412 0% 100% 1
9 FIXED INCOME ANALYT GRP 21412 0% 100% 1
10 INRA CR BORDEAUX 21412 0% 100% 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 INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 34979 2% 6% 29
2 APPLIED MATHEMATICS AND COMPUTATION 31634 11% 1% 161
3 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 25698 3% 3% 47
4 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 22348 7% 1% 103
5 APPLIED NUMERICAL MATHEMATICS 18140 4% 2% 50
6 IMA JOURNAL OF NUMERICAL ANALYSIS 18083 2% 2% 35
7 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 16248 4% 1% 55
8 JOURNAL OF COMPUTATIONAL MATHEMATICS 15353 2% 2% 31
9 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 10679 2% 2% 26
10 NUMERICAL ALGORITHMS 8706 2% 2% 27

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 SHISHKIN MESH 3186824 11% 93% 160 Search SHISHKIN+MESH Search SHISHKIN+MESH
2 SINGULAR PERTURBATION 1551462 26% 19% 375 Search SINGULAR+PERTURBATION Search SINGULAR+PERTURBATION
3 LAYER ADAPTED MESH 952015 3% 91% 49 Search LAYER+ADAPTED+MESH Search LAYER+ADAPTED+MESH
4 SINGULAR PERTURBATION PROBLEMS 864779 5% 53% 76 Search SINGULAR+PERTURBATION+PROBLEMS Search SINGULAR+PERTURBATION+PROBLEMS
5 UNIFORM CONVERGENCE 855495 9% 30% 132 Search UNIFORM+CONVERGENCE Search UNIFORM+CONVERGENCE
6 SINGULARLY PERTURBED 808962 4% 67% 56 Search SINGULARLY+PERTURBED Search SINGULARLY+PERTURBED
7 SINGULARLY PERTURBED PROBLEM 696429 5% 49% 67 Search SINGULARLY+PERTURBED+PROBLEM Search SINGULARLY+PERTURBED+PROBLEM
8 EPSILON UNIFORM CONVERGENCE 495636 2% 93% 25 Search EPSILON+UNIFORM+CONVERGENCE Search EPSILON+UNIFORM+CONVERGENCE
9 PIECEWISE UNIFORM MESH 452311 2% 81% 26 Search PIECEWISE+UNIFORM+MESH Search PIECEWISE+UNIFORM+MESH
10 SINGULARLY PERTURBED PARABOLIC PROBLEM 342586 1% 100% 16 Search SINGULARLY+PERTURBED+PARABOLIC+PROBLEM Search SINGULARLY+PERTURBED+PARABOLIC+PROBLEM

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 KADALBAJOO, MK , GUPTA, V , (2010) A BRIEF SURVEY ON NUMERICAL METHODS FOR SOLVING SINGULARLY PERTURBED PROBLEMS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 217. ISSUE 8. P. 3641 -3716 351 71% 24
2 KOPTEVA, N , O'RIORDAN, E , (2010) SHISHKIN MESHES IN THE NUMERICAL SOLUTION OF SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING. VOL. 7. ISSUE 3. P. 393 -415 69 99% 20
3 LINSS, T , (2003) LAYER-ADAPTED MESHES FOR CONVECTION-DIFFUSION PROBLEMS.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. VOL. 192. ISSUE 9-10. P. 1061-1105 55 92% 41
4 KUMAR, M , SINGH, P , MISHRA, HK , (2007) A RECENT SURVEY ON COMPUTATIONAL TECHNIQUES FOR SOLVING SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. VOL. 84. ISSUE 10. P. 1439 -1463 44 88% 7
5 ROOS, HG , STYNES, M , (2015) SOME OPEN QUESTIONS IN THE NUMERICAL ANALYSIS OF SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS.COMPUTATIONAL METHODS IN APPLIED MATHEMATICS. VOL. 15. ISSUE 4. P. 531 -550 47 64% 1
6 SHARMA, KK , RAI, P , PATIDAR, KC , (2013) A REVIEW ON SINGULARLY PERTURBED DIFFERENTIAL EQUATIONS WITH TURNING POINTS AND INTERIOR LAYERS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 219. ISSUE 22. P. 10575-10609 48 62% 5
7 LI, ZW , WU, B , XU, YS , (2016) HIGH ORDER GALERKIN METHODS WITH GRADED MESHES FOR TWO-DIMENSIONAL REACTION-DIFFUSION PROBLEMS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING. VOL. 13. ISSUE 3. P. 319 -343 27 90% 0
8 KADALBAJOO, MK , PATIDAR, KC , (2002) A SURVEY OF NUMERICAL TECHNIQUES FOR SOLVING SINGULARLY PERTURBED ORDINARY DIFFERENTIAL EQUATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 130. ISSUE 2-3. P. 457 -510 58 54% 42
9 ZHANG, J , LIU, XW , (2016) CONVERGENCE IN L-2 NORM OF THE SDFEM ON A SHISHKIN TRIANGULAR MESH FOR PROBLEMS WITH CHARACTERISTIC LAYERS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 287. ISSUE . P. 171 -183 22 96% 0
10 SALAMA, A , AL-AMERY, D , (2016) HIGH-ORDER UNIFORMLY CONVERGENT METHOD FOR NONLINEAR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH SMALL SHIFTS.TURKISH JOURNAL OF MATHEMATICS. VOL. 40. ISSUE 5. P. 1144 -1167 22 92% 0

Classes with closest relation at Level 1


Rank Class id link
1 37501 COMBINATION TECHNIQUE//TWO SCALE DISCRETIZATION//SPARSE GRIDS
2 33508 COMPLEX HYPERSPHERE//MAXIMAL BRANCHING PROCESS//PERMUTATION FORMULA
3 33664 METHOD OF DIFFERENTIAL INEQUALITIES//SINGULARLY PERTURBED PARABOLIC PROBLEMS//BOUNDARY LAYER ASYMPTOTICS
4 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
5 21865 NONLINEAR ESTIMATES OF THE PERRON TYPE//INTERPOLATING OPERATORS//MONOTONE ITERATIONS
6 18733 ORTHOGONAL SPLINE COLLOCATION//MATRIX DECOMPOSITION ALGORITHMS//ALMOST BLOCK DIAGONAL SYSTEMS
7 22156 NONSTANDARD FINITE DIFFERENCE SCHEMES//NONSTANDARD FINITE DIFFERENCE METHOD//BURGERS HUXLEY EQUATION
8 18023 HIGH ORDER COMPACT SCHEME//UNSTEADY CONVECTION DIFFUSION EQUATION//HIGH PERFORMANCE SCI COMP COMP SIMULAT
9 14383 REPRODUCING KERNEL SPACE//NONLOCAL BOUNDARY CONDITIONS//REPRODUCING KERNEL METHOD
10 6366 A POSTERIORI ERROR ESTIMATES//NONCONFORMING FINITE ELEMENT//A POSTERIORI ERROR ESTIMATOR

Go to start page