Class information for:
Level 2: STEFAN PROBLEM//HEAT BALANCE INTEGRAL METHOD//ELASTIC TUBES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3615 1240 18.9 34%


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
16 4 ENGINEERING, CIVIL//CONSTRUCTION & BUILDING TECHNOLOGY//MECHANICS 627508
437 3       ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE PROBLEMS 26987
3615 2             STEFAN PROBLEM//HEAT BALANCE INTEGRAL METHOD//ELASTIC TUBES 1240
12568 1                   STEFAN PROBLEM//HEAT BALANCE INTEGRAL METHOD//KELLER BOX SCHEME 896
25412 1                   ELASTIC TUBES//MODIFIED REDUCTIVE PERTURBATION METHOD//ION ACOUSTIC COLD PLASMA 282
37297 1                   ACCELERATION FRONT//DYNAMIC STRESS FUNCTION//INTEGRAL EQUATION WITH SMALL KERNEL 62

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 STEFAN PROBLEM authKW 980456 10% 31% 127
2 HEAT BALANCE INTEGRAL METHOD authKW 472370 2% 71% 27
3 ELASTIC TUBES authKW 350278 2% 68% 21
4 KELLER BOX SCHEME authKW 124649 1% 56% 9
5 MODIFIED REDUCTIVE PERTURBATION METHOD authKW 123118 0% 100% 5
6 HEAT BALANCE INTEGRAL authKW 112558 1% 57% 8
7 BOUNDARY IMMOBILIZATION authKW 102597 0% 83% 5
8 NANOPARTICLE MELTING authKW 102597 0% 83% 5
9 PHASE CHANGE PROBLEM authKW 102597 0% 83% 5
10 BOUNDARY IMMOBILISATION authKW 98495 0% 100% 4

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 Mechanics 13992 37% 0% 458
2 Thermodynamics 9704 23% 0% 285
3 Engineering, General 6524 18% 0% 220
4 Mathematics, Applied 4653 25% 0% 310
5 Mathematics, Interdisciplinary Applications 4590 14% 0% 175
6 Engineering, Mechanical 1684 13% 0% 156
7 Physics, Mathematical 145 4% 0% 46
8 Physics, Multidisciplinary 141 7% 0% 82
9 Computer Science, Interdisciplinary Applications 106 3% 0% 39
10 Mathematics 69 5% 0% 60

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 PANEL MATH 73871 0% 100% 3
2 EA 3719 55402 0% 75% 3
3 FCE 51950 2% 11% 19
4 MACSI 49626 2% 11% 19
5 OIL OURCES INFORMAT 49247 0% 100% 2
6 SERV TRANSFERTS INTER ES PROC TIPS 49247 0% 100% 2
7 ATCC 24624 0% 100% 1
8 AUTOMAT ENVIRONM TRANSFER PROC CNRSTURAC 2 24624 0% 100% 1
9 CHEZ AJMI HACHAD 24624 0% 100% 1
10 COMPUTAT MECH INT METODOS COMPUTAC INGN 24624 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 ENGINEERING SCIENCE 20449 5% 1% 60
2 NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS 18222 3% 2% 32
3 QUARTERLY OF APPLIED MATHEMATICS 11069 2% 2% 27
4 INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 10773 7% 1% 87
5 IMA JOURNAL OF APPLIED MATHEMATICS 6782 2% 1% 20
6 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 6027 4% 1% 45
7 APPLIED MATHEMATICAL MODELLING 5098 3% 1% 37
8 JOURNAL OF THERMAL STRESSES 4773 1% 1% 18
9 INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER 4634 2% 1% 28
10 THERMAL SCIENCE 4571 1% 1% 18

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 STEFAN PROBLEM 980456 10% 31% 127 Search STEFAN+PROBLEM Search STEFAN+PROBLEM
2 HEAT BALANCE INTEGRAL METHOD 472370 2% 71% 27 Search HEAT+BALANCE+INTEGRAL+METHOD Search HEAT+BALANCE+INTEGRAL+METHOD
3 ELASTIC TUBES 350278 2% 68% 21 Search ELASTIC+TUBES Search ELASTIC+TUBES
4 KELLER BOX SCHEME 124649 1% 56% 9 Search KELLER+BOX+SCHEME Search KELLER+BOX+SCHEME
5 MODIFIED REDUCTIVE PERTURBATION METHOD 123118 0% 100% 5 Search MODIFIED+REDUCTIVE+PERTURBATION+METHOD Search MODIFIED+REDUCTIVE+PERTURBATION+METHOD
6 HEAT BALANCE INTEGRAL 112558 1% 57% 8 Search HEAT+BALANCE+INTEGRAL Search HEAT+BALANCE+INTEGRAL
7 BOUNDARY IMMOBILIZATION 102597 0% 83% 5 Search BOUNDARY+IMMOBILIZATION Search BOUNDARY+IMMOBILIZATION
8 NANOPARTICLE MELTING 102597 0% 83% 5 Search NANOPARTICLE+MELTING Search NANOPARTICLE+MELTING
9 PHASE CHANGE PROBLEM 102597 0% 83% 5 Search PHASE+CHANGE+PROBLEM Search PHASE+CHANGE+PROBLEM
10 BOUNDARY IMMOBILISATION 98495 0% 100% 4 Search BOUNDARY+IMMOBILISATION Search BOUNDARY+IMMOBILISATION

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 BACK, JM , MCCUE, SW , HSIEH, MHN , MORONEY, TJ , (2014) THE EFFECT OF SURFACE TENSION AND KINETIC UNDERCOOLING ON A RADIALLY-SYMMETRIC MELTING PROBLEM.APPLIED MATHEMATICS AND COMPUTATION. VOL. 229. ISSUE . P. 41 -52 36 59% 6
2 MITCHELL, SL , (2014) AN ACCURATE APPLICATION OF THE INTEGRAL METHOD APPLIED TO THE DIFFUSION OF OXYGEN IN ABSORBING TISSUE.APPLIED MATHEMATICAL MODELLING. VOL. 38. ISSUE 17-18. P. 4396 -4408 22 100% 1
3 MITCHELL, SL , (2011) AN ACCURATE NODAL HEAT BALANCE INTEGRAL METHOD WITH SPATIAL SUBDIVISION.NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS. VOL. 60. ISSUE 1. P. 34-56 23 92% 6
4 KOT, VA , (2016) INTEGRAL METHOD OF BOUNDARY CHARACTERISTICS: THE DIRICHLET CONDITION. PRINCIPLES.HEAT TRANSFER RESEARCH. VOL. 47. ISSUE 11. P. 1035 -1055 29 66% 0
5 MITCHELL, SL , VYNNYCKY, M , (2015) THE OXYGEN DIFFUSION PROBLEM: ANALYSIS AND NUMERICAL SOLUTION.APPLIED MATHEMATICAL MODELLING. VOL. 39. ISSUE 9. P. 2763 -2776 22 85% 0
6 SADOUN, N , SI-AHMED, EK , COLINET, P , LEGRAND, J , (2012) ON THE BOUNDARY IMMOBILIZATION AND VARIABLE SPACE GRID METHODS FOR TRANSIENT HEAT CONDUCTION PROBLEMS WITH PHASE CHANGE: DISCUSSION AND REFINEMENT.COMPTES RENDUS MECANIQUE. VOL. 340. ISSUE 7. P. 501 -511 23 79% 6
7 REUTSKIY, SY , (2014) THE METHOD OF APPROXIMATE FUNDAMENTAL SOLUTIONS (MAFS) FOR STEFAN PROBLEMS FOR THE SPHERE.APPLIED MATHEMATICS AND COMPUTATION. VOL. 227. ISSUE . P. 648 -655 20 83% 1
8 YIGIT, F , (2008) SINUSOIDAL PERTURBATION SOLUTION FOR SOLIDIFICATION OF PURE MATERIALS ON A PLANAR MOLD OF FINITE THICKNESS.INTERNATIONAL JOURNAL OF THERMAL SCIENCES. VOL. 47. ISSUE 1. P. 25 -34 21 91% 1
9 DRAGOMIRESCU, FI , EISENSCHMIDT, K , ROHDE, C , WEIGAND, B , (2016) PERTURBATION SOLUTIONS FOR THE FINITE RADIALLY SYMMETRIC STEFAN PROBLEM.INTERNATIONAL JOURNAL OF THERMAL SCIENCES. VOL. 104. ISSUE . P. 386 -395 15 88% 2
10 MITCHELL, SL , (2015) APPLYING THE COMBINED INTEGRAL METHOD TO TWO-PHASE STEFAN PROBLEMS WITH DELAYED ONSET OF PHASE CHANGE.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 281. ISSUE . P. 58 -73 15 100% 2

Classes with closest relation at Level 2


Rank Class id link
1 923 PHASE CHANGE MATERIAL//THERMAL ENERGY STORAGE//SOLAR ENERGY
2 1154 SEMI SOLID//THIXOFORMING//SEMI SOLID PROCESSING
3 3469 NORMAL DEPTH//NEFTYANOE KHOZYAISTVO//UNCONFINED SEEPAGE
4 1985 ILL POSED PROBLEM//INVERSE HEAT CONDUCTION PROBLEM//DISCREPANCY PRINCIPLE
5 1438 UNDERCOOLING//DIRECTIONAL SOLIDIFICATION//SOLIDIFICATION
6 4140 BUBBLE CAPTURE//IMPRINT ELECTRICAL FIELD//ALUMINA ZIRCON
7 410 NATURAL CONVECTION//THERMODYNAMICS//INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
8 2408 HOMOTOPY PERTURBATION METHOD//VARIATIONAL ITERATION METHOD//ADOMIAN DECOMPOSITION METHOD
9 1888 JOURNAL OF CRYSTAL GROWTH//CZOCHRALSKI METHOD//THERMOCAPILLARY CONVECTION
10 2394 PERMAFROST//STATE FROZEN SOIL ENGN//COLD REGIONS SCIENCE AND TECHNOLOGY

Go to start page