Class information for:
Level 3: MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
145 63904 23.9 48%


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
458 2             DISCONTINUOUS GALERKIN METHOD//COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING//SUPERCONVERGENCE 15995
895 2             SHISHKIN MESH//SINGULAR PERTURBATION//MATHEMATICS, APPLIED 11341
935 2             FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE 10998
939 2             DOMAIN DECOMPOSITION//PRECONDITIONER//NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 10969
1538 2             RUNGE KUTTA METHODS//GENERAL LINEAR METHODS//PHASE LAG 7453
2408 2             HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD 4192
2845 2             VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS 2956

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 MATHEMATICS, APPLIED WoSSC 1027758 50% 7% 32067
2 SIAM JOURNAL ON NUMERICAL ANALYSIS journal 353289 3% 43% 1746
3 FRACTIONAL DIFFERENTIAL EQUATIONS authKW 333676 1% 83% 849
4 APPLIED NUMERICAL MATHEMATICS journal 284474 2% 45% 1328
5 MATH address 248979 24% 4% 15278
6 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS journal 241204 4% 23% 2276
7 APPLIED MATHEMATICS AND COMPUTATION journal 230820 5% 17% 2933
8 FRACTIONAL CALCULUS authKW 222071 1% 60% 780
9 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS WoSSC 215434 13% 6% 8621
10 DOMAIN DECOMPOSITION authKW 212873 1% 52% 872

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 1027758 50% 7% 32067
2 Mathematics, Interdisciplinary Applications 215434 13% 6% 8621
3 Mechanics 98870 14% 3% 9197
4 Engineering, General 94105 10% 4% 6167
5 Computer Science, Interdisciplinary Applications 89198 11% 3% 6762
6 Physics, Mathematical 61495 9% 3% 5911
7 Mathematics 43507 13% 2% 8061
8 Physics, Fluids & Plasmas 15519 4% 2% 2771
9 Computer Science, Software Engineering 12891 4% 2% 2401
10 Computer Science, Theory & Methods 7251 4% 1% 2306

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 248979 24% 4% 15278
2 LSEC 60727 0% 42% 304
3 MATH SCI 57577 5% 4% 3287
4 COMPUTAT MATH SCI ENGN COMP 56858 0% 38% 316
5 PL MATH 51311 3% 5% 2119
6 MATH SYST SCI 44861 1% 11% 864
7 MATH COMP SCI 43405 3% 5% 1877
8 ICMSEC 40260 0% 52% 162
9 SCI COMPUTAT 32426 0% 26% 269
10 HUGO STEINHAUS 30812 0% 66% 98

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 353289 3% 43% 1746
2 APPLIED NUMERICAL MATHEMATICS 284474 2% 45% 1328
3 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 241204 4% 23% 2276
4 APPLIED MATHEMATICS AND COMPUTATION 230820 5% 17% 2933
5 SIAM JOURNAL ON SCIENTIFIC COMPUTING 202829 2% 35% 1217
6 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 199873 1% 56% 754
7 NUMERISCHE MATHEMATIK 195617 2% 37% 1110
8 COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 180804 3% 22% 1782
9 INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 178927 2% 31% 1226
10 JOURNAL OF COMPUTATIONAL PHYSICS 155531 3% 17% 1924

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 FRACTIONAL DIFFERENTIAL EQUATIONS 333676 1% 83% 849 Search FRACTIONAL+DIFFERENTIAL+EQUATIONS Search FRACTIONAL+DIFFERENTIAL+EQUATIONS
2 FRACTIONAL CALCULUS 222071 1% 60% 780 Search FRACTIONAL+CALCULUS Search FRACTIONAL+CALCULUS
3 DOMAIN DECOMPOSITION 212873 1% 52% 872 Search DOMAIN+DECOMPOSITION Search DOMAIN+DECOMPOSITION
4 DISCONTINUOUS GALERKIN METHOD 176048 1% 58% 645 Search DISCONTINUOUS+GALERKIN+METHOD Search DISCONTINUOUS+GALERKIN+METHOD
5 FRACTIONAL DERIVATIVE 161008 1% 57% 599 Search FRACTIONAL+DERIVATIVE Search FRACTIONAL+DERIVATIVE
6 SUPERCONVERGENCE 150709 1% 73% 437 Search SUPERCONVERGENCE Search SUPERCONVERGENCE
7 HOMOTOPY PERTURBATION METHOD 145406 1% 74% 411 Search HOMOTOPY+PERTURBATION+METHOD Search HOMOTOPY+PERTURBATION+METHOD
8 VARIATIONAL ITERATION METHOD 141453 1% 82% 361 Search VARIATIONAL+ITERATION+METHOD Search VARIATIONAL+ITERATION+METHOD
9 ADOMIAN DECOMPOSITION METHOD 134022 1% 79% 357 Search ADOMIAN+DECOMPOSITION+METHOD Search ADOMIAN+DECOMPOSITION+METHOD
10 CAPUTO DERIVATIVE 123836 0% 90% 290 Search CAPUTO+DERIVATIVE Search CAPUTO+DERIVATIVE

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 453 92% 24
2 DAVIS, TA , RAJAMANICKAM, S , SID-LAKHDAR, WM , (2016) A SURVEY OF DIRECT METHODS FOR SPARSE LINEAR SYSTEMS.ACTA NUMERICA. VOL. 25. ISSUE . P. 383 -566 313 88% 0
3 JEON, JH , CHERSTVY, AG , BARKAI, E , METZLER, R , (2014) ANOMALOUS DIFFUSION MODELS AND THEIR PROPERTIES: NON-STATIONARITY, NON-ERGODICITY, AND AGEING AT THE CENTENARY OF SINGLE PARTICLE TRACKING.PHYSICAL CHEMISTRY CHEMICAL PHYSICS. VOL. 16. ISSUE 44. P. 24128 -24164 203 67% 156
4 HE, JH , (2008) AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING.INTERNATIONAL JOURNAL OF MODERN PHYSICS B. VOL. 22. ISSUE 21. P. 3487-3578 179 72% 289
5 SIMONCINI, V , SZYLD, DB , (2007) RECENT COMPUTATIONAL DEVELOPMENTS IN KRYLOV SUBSPACE METHODS FOR LINEAR SYSTEMS.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. VOL. 14. ISSUE 1. P. 1 -59 195 85% 127
6 TAKIZAWA, K , (2014) COMPUTATIONAL ENGINEERING ANALYSIS WITH THE NEW-GENERATION SPACE-TIME METHODS.COMPUTATIONAL MECHANICS. VOL. 54. ISSUE 2. P. 193 -211 166 96% 10
7 BENZI, M , (2002) PRECONDITIONING TECHNIQUES FOR LARGE LINEAR SYSTEMS: A SURVEY.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 182. ISSUE 2. P. 418 -477 162 90% 376
8 ROSSIKHIN, YA , SHITIKOVA, MV , (2010) APPLICATION OF FRACTIONAL CALCULUS FOR DYNAMIC PROBLEMS OF SOLID MECHANICS: NOVEL TRENDS AND RECENT RESULTS.APPLIED MECHANICS REVIEWS. VOL. 63. ISSUE 1. P. - 173 74% 87
9 METZLER, R , KLAFTER, J , (2000) THE RANDOM WALK'S GUIDE TO ANOMALOUS DIFFUSION: A FRACTIONAL DYNAMICS APPROACH.PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS. VOL. 339. ISSUE 1. P. 1 -77 100 62% 3416
10 METZLER, R , KLAFTER, J , (2004) THE RESTAURANT AT THE END OF THE RANDOM WALK: RECENT DEVELOPMENTS IN THE DESCRIPTION OF ANOMALOUS TRANSPORT BY FRACTIONAL DYNAMICS.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL. VOL. 37. ISSUE 31. P. R161 -R208 161 57% 914

Classes with closest relation at Level 3


Rank Class id link
1 485 LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED
2 437 ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE PROBLEMS
3 460 POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS
4 68 ENGINEERING, AEROSPACE//AIAA JOURNAL//MECHANICS
5 244 MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP
6 568 COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN
7 377 TOPOLOGY OPTIMIZATION//STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION//LATTICE RULES
8 651 GOSSYPOL//3 MCPD//VORONOI DIAGRAM
9 579 BOLTZMANN EQUATION//JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS//MAGNETOGASDYNAMICS
10 299 PHYSICS, MATHEMATICAL//JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS//BACKLUND TRANSFORMATION

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