Class information for:
Level 2: SHISHKIN MESH//SINGULAR PERTURBATION//MATHEMATICS, APPLIED

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
895 11341 20.3 43%


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
6664 1                   NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS//INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS//COLOCATED GRIDS 1458
6945 1                   SHISHKIN MESH//SINGULAR PERTURBATION//LAYER ADAPTED MESH 1426
9716 1                   SPECTRAL METHODS//SEMI INFINITE INTERVAL//NONHOMOGENEOUS DIRICHLET CONDITIONS 1127
10618 1                   MULTI SYMPLECTIC//RLW EQUATION//MULTI SYMPLECTIC SCHEME 1048
11055 1                   MOVING MESH METHOD//MOVING MESH//MONITOR FUNCTION 1010
14383 1                   REPRODUCING KERNEL SPACE//NONLOCAL BOUNDARY CONDITIONS//REPRODUCING KERNEL METHOD 773
17000 1                   NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS 623
18023 1                   HIGH ORDER COMPACT SCHEME//UNSTEADY CONVECTION DIFFUSION EQUATION//HIGH PERFORMANCE SCI COMP COMP SIMULAT 570
18733 1                   ORTHOGONAL SPLINE COLLOCATION//MATRIX DECOMPOSITION ALGORITHMS//ALMOST BLOCK DIAGONAL SYSTEMS 537
18800 1                   COMPUTAT THEORET FLUID DYNAM//METHOD OF SUPERPOSITION//BIORTHOGONALITY CONDITIONS 535
22156 1                   NONSTANDARD FINITE DIFFERENCE SCHEMES//NONSTANDARD FINITE DIFFERENCE METHOD//BURGERS HUXLEY EQUATION 391
22349 1                   BURGERS EQUATION//GENERALIZED TRAPEZOIDAL FORMULAS//MODIFIED BURGERS EQUATION 385
23534 1                   LOCAL DEFECT CORRECTION//VORTICITY VELOCITY FORMULATION//VELOCITY VORTICITY FORMULATION 343
25094 1                   INTRINSIC PARALLELISM//INTEGRAL MEAN METHOD//DOMAIN DECOMPOSITION PROCEDURES 291
26010 1                   LINEAR HYPERBOLIC EQUATION//TELEGRAPH EQUATION//SINE GORDON EQUATION 265
30963 1                   HEAT CONVECTION EQUATION//METHOD OF CORRECTIONS//DISJOINT DOMAINS 160
31142 1                   QUASI GASDYNAMIC SYSTEM OF EQUATIONS//QUASI GASDYNAMIC EQUATIONS//STABILITY OF SMALL PERTURBATIONS 157
33133 1                   GAUSSIAN APPROXIMATING FUNCTIONS//APPROXIMATE APPROXIMATIONS//APPROXIMATE FACTORIZATION ERRORS 128
34256 1                   ASYMPTOTIC NATURE//EXTENDED REAL STABILITY BOUNDARIES//LAMBERTS METHOD 114

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 415590 1% 95% 163
2 SINGULAR PERTURBATION authKW 211401 3% 20% 391
3 MATHEMATICS, APPLIED WoSSC 190345 51% 1% 5810
4 NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS journal 189442 3% 23% 312
5 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS journal 132010 4% 10% 501
6 LAYER ADAPTED MESH authKW 119619 0% 91% 49
7 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS journal 118532 4% 11% 419
8 SINGULARLY PERTURBED authKW 116664 1% 72% 60
9 UNIFORM CONVERGENCE authKW 115634 1% 31% 137
10 SINGULAR PERTURBATION PROBLEMS authKW 111482 1% 54% 77

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 190345 51% 1% 5810
2 Computer Science, Interdisciplinary Applications 37750 16% 1% 1810
3 Mechanics 36867 20% 1% 2308
4 Mathematics, Interdisciplinary Applications 35383 13% 1% 1474
5 Physics, Mathematical 16883 11% 1% 1284
6 Engineering, General 10994 8% 1% 900
7 Physics, Fluids & Plasmas 7507 7% 0% 769
8 Mathematics 6433 12% 0% 1323
9 Thermodynamics 4039 5% 0% 613
10 Engineering, Aerospace 1344 2% 0% 212

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 MATH 46372 24% 1% 2774
2 FUNDAMENTAL DISCIPLINES 29801 0% 92% 12
3 HIGH PERFORMANCE SCI COMP COMP SIMULAT 25017 0% 42% 22
4 NUMER MATH 14391 1% 7% 79
5 SCI COMP SHANGHAI UNIV 12537 0% 33% 14
6 MATH SCI 11421 5% 1% 615
7 PL MATH ENGN MECH 10762 0% 100% 4
8 COMPUTAT THEORET FLUID DYNAM 9656 0% 28% 13
9 MATH MECH 9381 1% 3% 112
10 PL MATH 8607 3% 1% 366

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 NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS 189442 3% 23% 312
2 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 132010 4% 10% 501
3 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 118532 4% 11% 419
4 JOURNAL OF COMPUTATIONAL PHYSICS 111465 6% 6% 682
5 APPLIED MATHEMATICS AND COMPUTATION 108737 7% 5% 844
6 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 106044 2% 17% 231
7 APPLIED NUMERICAL MATHEMATICS 54577 2% 8% 245
8 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 46986 4% 4% 423
9 SIAM JOURNAL ON NUMERICAL ANALYSIS 43720 2% 6% 259
10 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 31003 1% 8% 146

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 415590 1% 95% 163 Search SHISHKIN+MESH Search SHISHKIN+MESH
2 SINGULAR PERTURBATION 211401 3% 20% 391 Search SINGULAR+PERTURBATION Search SINGULAR+PERTURBATION
3 LAYER ADAPTED MESH 119619 0% 91% 49 Search LAYER+ADAPTED+MESH Search LAYER+ADAPTED+MESH
4 SINGULARLY PERTURBED 116664 1% 72% 60 Search SINGULARLY+PERTURBED Search SINGULARLY+PERTURBED
5 UNIFORM CONVERGENCE 115634 1% 31% 137 Search UNIFORM+CONVERGENCE Search UNIFORM+CONVERGENCE
6 SINGULAR PERTURBATION PROBLEMS 111482 1% 54% 77 Search SINGULAR+PERTURBATION+PROBLEMS Search SINGULAR+PERTURBATION+PROBLEMS
7 SINGULARLY PERTURBED PROBLEM 106694 1% 54% 74 Search SINGULARLY+PERTURBED+PROBLEM Search SINGULARLY+PERTURBED+PROBLEM
8 MOVING MESH METHOD 99218 0% 67% 55 Search MOVING+MESH+METHOD Search MOVING+MESH+METHOD
9 BURGERS EQUATION 96383 1% 23% 155 Search BURGERS+EQUATION Search BURGERS+EQUATION
10 NONSTANDARD FINITE DIFFERENCE SCHEMES 92494 0% 72% 48 Search NONSTANDARD+FINITE+DIFFERENCE+SCHEMES Search NONSTANDARD+FINITE+DIFFERENCE+SCHEMES

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 364 74% 24
2 GUO, BY , (2013) SOME PROGRESS IN SPECTRAL METHODS.SCIENCE CHINA-MATHEMATICS. VOL. 56. ISSUE 12. P. 2411 -2438 110 89% 7
3 PATIDAR, KC , (2016) NONSTANDARD FINITE DIFFERENCE METHODS: RECENT TRENDS AND FURTHER DEVELOPMENTS.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 22. ISSUE 6. P. 817 -849 100 68% 1
4 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
5 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 91 68% 14
6 MOHAMMADI, R , (2015) EXPONENTIAL B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF THE GENERALIZED REGULARIZED LONG WAVE EQUATION.CHINESE PHYSICS B. VOL. 24. ISSUE 5. P. - 49 82% 4
7 STIKONAS, A , (2014) A SURVEY ON STATIONARY PROBLEMS, GREEN'S FUNCTIONS AND SPECTRUM OF STURM-LIOUVILLE PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS.NONLINEAR ANALYSIS-MODELLING AND CONTROL. VOL. 19. ISSUE 3. P. 301 -334 65 57% 17
8 MOHAMMADI, M , MOKHTARI, R , (2011) SOLVING THE GENERALIZED REGULARIZED LONG WAVE EQUATION ON THE BASIS OF A REPRODUCING KERNEL SPACE.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 235. ISSUE 14. P. 4003 -4014 39 100% 45
9 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 56 93% 41
10 ACHARYA, S , BALIGA, BR , KARKI, K , MURTHY, JY , PRAKASH, C , VANKA, SP , (2007) PRESSURE-BASED FINITE-VOLUME METHODS IN COMPUTATIONAL FLUID DYNAMICS.JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME. VOL. 129. ISSUE 4. P. 407-424 60 72% 37

Classes with closest relation at Level 2


Rank Class id link
1 2408 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
2 1538 RUNGE KUTTA METHODS//GENERAL LINEAR METHODS//PHASE LAG
3 458 DISCONTINUOUS GALERKIN METHOD//COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//SUPERCONVERGENCE
4 2845 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS
5 762 JOURNAL OF COMPUTATIONAL PHYSICS//SMOOTHED PARTICLE HYDRODYNAMICS//SHALLOW WATER EQUATIONS
6 939 DOMAIN DECOMPOSITION//PRECONDITIONER//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
7 1289 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//BOUNDARY ELEMENT METHOD//METHOD OF FUNDAMENTAL SOLUTIONS
8 2524 LATTICE BOLTZMANN METHOD//LATTICE BOLTZMANN//LATTICE BOLTZMANN EQUATION
9 2610 TAYLOR COUETTE FLOW//VORTEX BREAKDOWN//GAS CENTRIFUGE
10 3615 STEFAN PROBLEM//HEAT BALANCE INTEGRAL METHOD//ELASTIC TUBES

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