Class information for:
Level 1: STEFAN PROBLEM//HEAT BALANCE INTEGRAL METHOD//KELLER BOX SCHEME

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12568 896 19.7 33%


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

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 1356978 14% 31% 127
2 HEAT BALANCE INTEGRAL METHOD authKW 653747 3% 71% 27
3 KELLER BOX SCHEME authKW 172513 1% 56% 9
4 HEAT BALANCE INTEGRAL authKW 155779 1% 57% 8
5 BOUNDARY IMMOBILIZATION authKW 141991 1% 83% 5
6 NANOPARTICLE MELTING authKW 141991 1% 83% 5
7 PHASE CHANGE PROBLEM authKW 141991 1% 83% 5
8 BOUNDARY IMMOBILISATION authKW 136313 0% 100% 4
9 SPHERICAL SOLIDIFICATION authKW 109049 0% 80% 4
10 REFINED INTEGRAL METHOD authKW 90872 0% 67% 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 Thermodynamics 13063 31% 0% 279
2 Mechanics 10625 38% 0% 339
3 Mathematics, Interdisciplinary Applications 4217 16% 0% 142
4 Engineering, General 3787 16% 0% 143
5 Mathematics, Applied 3688 26% 0% 234
6 Engineering, Mechanical 2216 17% 0% 149
7 Computer Science, Interdisciplinary Applications 106 4% 0% 32
8 Mathematics 100 6% 0% 55
9 Computer Science, Software Engineering 19 2% 0% 14
10 Physics, Mathematical 16 2% 0% 17

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 EA 3719 76674 0% 75% 3
2 FCE 71909 2% 11% 19
3 MACSI 68694 2% 11% 19
4 SERV TRANSFERTS INTER ES PROC TIPS 68156 0% 100% 2
5 ATCC 34078 0% 100% 1
6 AUTOMAT ENVIRONM TRANSFER PROC CNRSTURAC 2 34078 0% 100% 1
7 CHEZ AJMI HACHAD 34078 0% 100% 1
8 COMPUTAT MECH INT METODOS COMPUTAC INGN 34078 0% 100% 1
9 COMPUTATIONAL GEODYNAM 34078 0% 100% 1
10 EA ENISE 3719 34078 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 NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS 25243 4% 2% 32
2 INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 14975 10% 1% 87
3 QUARTERLY OF APPLIED MATHEMATICS 10176 2% 1% 22
4 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 8376 5% 1% 45
5 IMA JOURNAL OF APPLIED MATHEMATICS 6787 2% 1% 17
6 INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER 6434 3% 1% 28
7 THERMAL SCIENCE 6339 2% 1% 18
8 JOURNAL OF THERMAL STRESSES 4592 2% 1% 15
9 NUMERICAL HEAT TRANSFER 4323 1% 2% 6
10 INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW 3965 1% 1% 13

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 1356978 14% 31% 127 Search STEFAN+PROBLEM Search STEFAN+PROBLEM
2 HEAT BALANCE INTEGRAL METHOD 653747 3% 71% 27 Search HEAT+BALANCE+INTEGRAL+METHOD Search HEAT+BALANCE+INTEGRAL+METHOD
3 KELLER BOX SCHEME 172513 1% 56% 9 Search KELLER+BOX+SCHEME Search KELLER+BOX+SCHEME
4 HEAT BALANCE INTEGRAL 155779 1% 57% 8 Search HEAT+BALANCE+INTEGRAL Search HEAT+BALANCE+INTEGRAL
5 BOUNDARY IMMOBILIZATION 141991 1% 83% 5 Search BOUNDARY+IMMOBILIZATION Search BOUNDARY+IMMOBILIZATION
6 NANOPARTICLE MELTING 141991 1% 83% 5 Search NANOPARTICLE+MELTING Search NANOPARTICLE+MELTING
7 PHASE CHANGE PROBLEM 141991 1% 83% 5 Search PHASE+CHANGE+PROBLEM Search PHASE+CHANGE+PROBLEM
8 BOUNDARY IMMOBILISATION 136313 0% 100% 4 Search BOUNDARY+IMMOBILISATION Search BOUNDARY+IMMOBILISATION
9 SPHERICAL SOLIDIFICATION 109049 0% 80% 4 Search SPHERICAL+SOLIDIFICATION Search SPHERICAL+SOLIDIFICATION
10 REFINED INTEGRAL METHOD 90872 0% 67% 4 Search REFINED+INTEGRAL+METHOD Search REFINED+INTEGRAL+METHOD

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 1


Rank Class id link
1 31683 CONTACT MELTING//POWER SHIPPING//CLOSE CONTACT MELTING
2 9320 HIGH PRESSURE DIE CASTING//INTERFACIAL HEAT TRANSFER COEFFICIENT//SQUEEZE CASTING
3 37297 ACCELERATION FRONT//DYNAMIC STRESS FUNCTION//INTEGRAL EQUATION WITH SMALL KERNEL
4 16906 FAST AUTOMATIC DIFFERENTIATION//IMMISCIBLE COMPRESSIBLE//WATER HYDROGEN
5 20585 MAXIMAL L P L Q REGULARITY//DEGENERATE BOUNDARY CONDITION//BABUSKAS PARADOX
6 25428 DISSOCIATED GASES//ACCEPTED EXPERIMENTAL CORRELATION//CONDENSATION WITH NONCONDENSABLE GAS
7 33845 BUBBLE CAPTURE//WATER CARBON DIOXIDE SOLUTION//BUBBLE ENTRAPMENT
8 24928 PONDED WATER//FREEZING HEAT TRANSFER//BIOPROD ENVIRONM INFORMAT SCI BIOPROD
9 25404 THERMAL ENGINEERING//3D INVERSE SOURCE RECONSTRUCTION//AEROTHERMAL FLOWS
10 102 PHASE CHANGE MATERIAL//THERMAL ENERGY STORAGE//PHASE CHANGE MATERIALS

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