Class information for:
Level 1: DIFFERENTIAL ALGEBRAIC SOLVER//MCI//M2NET

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
18777 536 20.5 44%



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
2 4 MATERIALS SCIENCE, MULTIDISCIPLINARY//PHYSICS, APPLIED//PHYSICS, CONDENSED MATTER 2836879
552 3       SHAPE MEMORY ALLOY//MARTENSITIC TRANSFORMATION//SHAPE MEMORY EFFECT 18031
333 2             SHAPE MEMORY ALLOY//MARTENSITIC TRANSFORMATION//SHAPE MEMORY EFFECT 18031
18777 1                   DIFFERENTIAL ALGEBRAIC SOLVER//MCI//M2NET 536

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 DIFFERENTIAL ALGEBRAIC SOLVER authKW 284839 1% 100% 5
2 MCI address 246474 3% 29% 15
3 M2NET address 233612 3% 23% 18
4 COUPLED DYNAM COMPLEX SYST address 227871 1% 100% 4
5 HALF SPACE TRANSIENT RESPONSE authKW 227871 1% 100% 4
6 NON LINEAR THERMOELASTICITY authKW 182295 1% 80% 4
7 NONLINEAR THERMOVISCOELASTICITY authKW 182295 1% 80% 4
8 CRC MATH MODELLING address 170903 1% 100% 3
9 MULTIDIMENSIONAL WAVE PROPAGATION authKW 151912 1% 67% 4
10 MADS CLAUSEN address 136321 4% 10% 23

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 7848 48% 0% 257
2 Mechanics 2245 23% 0% 123
3 Mathematics 1067 20% 0% 109
4 Engineering, General 280 6% 0% 32
5 Mathematics, Interdisciplinary Applications 154 4% 0% 23
6 Audiology & Speech-Language Pathology 137 2% 0% 12
7 Physics, Mathematical 109 5% 0% 25
8 Thermodynamics 71 4% 0% 19
9 Acoustics 66 2% 0% 13
10 Computer Science, Interdisciplinary Applications 34 3% 0% 15

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 MCI 246474 3% 29% 15
2 M2NET 233612 3% 23% 18
3 COUPLED DYNAM COMPLEX SYST 227871 1% 100% 4
4 CRC MATH MODELLING 170903 1% 100% 3
5 MADS CLAUSEN 136321 4% 10% 23
6 INFORMAT ENVIRONM DESIGN INTEGRAT 128176 1% 75% 3
7 MATH MODELLING NUMER ANAL GRP 75956 0% 67% 2
8 ACT RACK ISOLAT SYST INT SPACE STN CHARACTERIZAT 56968 0% 100% 1
9 ARDB COMPOSITE STRUCT 56968 0% 100% 1
10 CV PROD PLANNING 56968 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 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 10670 5% 1% 26
2 QUARTERLY OF APPLIED MATHEMATICS 10167 3% 1% 17
3 CONTINUUM MECHANICS AND THERMODYNAMICS 5367 2% 1% 9
4 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 4973 3% 1% 15
5 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 3759 2% 1% 13
6 MATHEMATICS AND MECHANICS OF SOLIDS 3278 1% 1% 7
7 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 3010 3% 0% 14
8 INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE 1577 2% 0% 11
9 EVOLUTION EQUATIONS AND CONTROL THEORY 1369 0% 1% 2
10 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 1340 3% 0% 17

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 DIFFERENTIAL ALGEBRAIC SOLVER 284839 1% 100% 5 Search DIFFERENTIAL+ALGEBRAIC+SOLVER Search DIFFERENTIAL+ALGEBRAIC+SOLVER
2 HALF SPACE TRANSIENT RESPONSE 227871 1% 100% 4 Search HALF+SPACE+TRANSIENT+RESPONSE Search HALF+SPACE+TRANSIENT+RESPONSE
3 NON LINEAR THERMOELASTICITY 182295 1% 80% 4 Search NON+LINEAR+THERMOELASTICITY Search NON+LINEAR+THERMOELASTICITY
4 NONLINEAR THERMOVISCOELASTICITY 182295 1% 80% 4 Search NONLINEAR+THERMOVISCOELASTICITY Search NONLINEAR+THERMOVISCOELASTICITY
5 MULTIDIMENSIONAL WAVE PROPAGATION 151912 1% 67% 4 Search MULTIDIMENSIONAL+WAVE+PROPAGATION Search MULTIDIMENSIONAL+WAVE+PROPAGATION
6 EVOLUTION EQUATION OF SECOND ORDER 128176 1% 75% 3 Search EVOLUTION+EQUATION+OF+SECOND+ORDER Search EVOLUTION+EQUATION+OF+SECOND+ORDER
7 ANDREWS PEGO TRANSFORMED EQUATIONS 113936 0% 100% 2 Search ANDREWS+PEGO+TRANSFORMED+EQUATIONS Search ANDREWS+PEGO+TRANSFORMED+EQUATIONS
8 COUPLED FIELD THEORY 113936 0% 100% 2 Search COUPLED+FIELD+THEORY Search COUPLED+FIELD+THEORY
9 ELECTRO MECHANICAL INTERACTIONS 113936 0% 100% 2 Search ELECTRO+MECHANICAL+INTERACTIONS Search ELECTRO+MECHANICAL+INTERACTIONS
10 FAST OSCILLATORY FUNCTIONS 113936 0% 100% 2 Search FAST+OSCILLATORY+FUNCTIONS Search FAST+OSCILLATORY+FUNCTIONS

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 WANG, LXX , MELNIK, RVN , (2010) LOW DIMENSIONAL APPROXIMATIONS TO FERROELASTIC DYNAMICS AND HYSTERETIC BEHAVIOR DUE TO PHASE TRANSFORMATIONS.JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME. VOL. 77. ISSUE 3. P. - 50 68% 3
2 MELNIK, RVN , (2009) COUPLING CONTROL AND HUMAN FACTORS IN MATHEMATICAL MODELS OF COMPLEX SYSTEMS.ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE. VOL. 22. ISSUE 3. P. 351 -362 60 56% 9
3 PAWLOW, I , ZAJAZKOWSKI, WM , (2003) ON DIFFUSED-INTERFACE MODELS OF SHAPE MEMORY ALLOYS.CONTROL AND CYBERNETICS. VOL. 32. ISSUE 3. P. 629-658 43 74% 0
4 WANG, LX , MELNIK, RVN , (2012) NONLINEAR DYNAMICS OF SHAPE MEMORY ALLOY OSCILLATORS IN TUNING STRUCTURAL VIBRATION FREQUENCIES.MECHATRONICS. VOL. 22. ISSUE 8. P. 1085 -1096 34 50% 6
5 SUZUKI, T , TASAKI, S , (2010) STATIONARY SOLUTIONS TO A THERMOELASTIC SYSTEM ON SHAPE MEMORY MATERIALS.NONLINEARITY. VOL. 23. ISSUE 10. P. 2623 -2656 19 90% 1
6 MELNIK, RVN , WEI, XL , MORENO-HAGELSIEB, G , (2009) NONLINEAR DYNAMICS OF CELL CYCLES WITH STOCHASTIC MATHEMATICAL MODELS.JOURNAL OF BIOLOGICAL SYSTEMS. VOL. 17. ISSUE 3. P. 425 -460 49 34% 2
7 PAWLOW, I , SUZUKI, T , TASAKI, S , (2012) STATIONARY SOLUTIONS TO A STRAIN-GRADIENT TYPE THERMOVISCOELASTIC SYSTEM.DIFFERENTIAL AND INTEGRAL EQUATIONS. VOL. 25. ISSUE 3-4. P. 289 -340 18 86% 0
8 EMMRICH, E , SISKA, D , (2013) EVOLUTION EQUATIONS OF SECOND ORDER WITH NONCONVEX POTENTIAL AND LINEAR DAMPING: EXISTENCE VIA CONVERGENCE OF A FULL DISCRETIZATION.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 255. ISSUE 10. P. 3719-3746 19 68% 0
9 LASSEN, B , MELNIK, RVN , WILLATZEN, M , (2009) SPURIOUS SOLUTIONS IN THE MULTIBAND EFFECTIVE MASS THEORY APPLIED TO LOW DIMENSIONAL NANOSTRUCTURES.COMMUNICATIONS IN COMPUTATIONAL PHYSICS. VOL. 6. ISSUE 4. P. 699 -729 34 37% 10
10 BONETTI, E , (2001) GLOBAL SOLUTION TO A FREMOND MODEL FOR SHAPE MEMORY ALLOYS WITH THERMAL MEMORY.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 46. ISSUE 4. P. 535 -565 18 82% 10

Classes with closest relation at Level 1



Rank Class id link
1 20088 MECHANOCHEM SYNTH NEW MAT//PHASE FIELD APPROACH//INTERMEDIATE MELT
2 5435 COMPRESSIBLE NAVIER STOKES EQUATIONS//DENSITY DEPENDENT VISCOSITY//INCOMPRESSIBLE LIMIT
3 6982 CAHN HILLIARD EQUATION//CAHN HILLIARD//EXPONENTIAL ATTRACTOR
4 7290 QUASILINEAR HYPERBOLIC SYSTEM//LINEAR DEGENERACY//QUASILINEAR HYPERBOLIC SYSTEM OF CONSERVATION LAWS
5 674 SHAPE MEMORY ALLOY//SUPERELASTICITY//PSEUDOELASTICITY
6 6623 YOUNG MEASURES//QUASICONVEXITY//RANK ONE CONVEXITY
7 21425 COMPLEMENTING CONDITION//JOURNAL OF ELASTICITY//CHEMICAL AFFINITY TENSOR
8 37604 MATH MODELLING UKRAINIAN//ADVECTIVE DIFFUSIVE PROCESS//ASYMMETRIC STRESS TENSOR
9 23840 DOUBLE DISPERSION EQUATION//DAMPED BOUSSINESQ EQUATION//BOUSSINESQ EQUATION
10 9530 FREE DISCONTINUITY PROBLEMS//RATE INDEPENDENT PROCESSES//QUASISTATIC EVOLUTION

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