Class information for:
Level 1: RAPIDLY OSCILLATING SUMMANDS//ALGORITHM FOR JUSTIFYING ASYMPTOTICS//ASYMPTOTICS OF TIME PERIODIC SOLUTIONS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
35661 94 20.0 11%



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
18 4 THERMODYNAMICS//ENERGY & FUELS//ENGINEERING, CHEMICAL 531182
283 3       POWDER TECHNOLOGY//ENGINEERING, CHEMICAL//FLUIDIZATION 42723
1568 2             BUBBLE COLUMN//GAS HOLDUP//AIRLIFT REACTOR 7337
35661 1                   RAPIDLY OSCILLATING SUMMANDS//ALGORITHM FOR JUSTIFYING ASYMPTOTICS//ASYMPTOTICS OF TIME PERIODIC SOLUTIONS 94

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 RAPIDLY OSCILLATING SUMMANDS authKW 649694 2% 100% 2
2 ALGORITHM FOR JUSTIFYING ASYMPTOTICS authKW 324847 1% 100% 1
3 ASYMPTOTICS OF TIME PERIODIC SOLUTIONS authKW 324847 1% 100% 1
4 COMPLETE ASYMPTOTIC EXPANSION OF A PERIODIC SOLUTION authKW 324847 1% 100% 1
5 COMPLETE ASYMPTOTIC EXPANSION OF A TIME PERIODIC SOLUTION authKW 324847 1% 100% 1
6 COMPLETELY JUSTIFIED ASYMPTOTICS FOR SOLUTIONS authKW 324847 1% 100% 1
7 CONSTRUCTION AND JUSTIFICATION OF THE COMPLETE ASYMPTOTICS OF A SOLUTION authKW 324847 1% 100% 1
8 CONSTRUCTION AND SUBSTANTIATION OF COMPLETE ASYMPTOTIC EXPANSIONS OF SOLUTIONS authKW 324847 1% 100% 1
9 DEGENERATE LIMITING PROBLEM authKW 324847 1% 100% 1
10 DEGENERATE STATIONARY AVERAGED SYSTEM authKW 324847 1% 100% 1

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 Multidisciplinary Sciences 721 15% 0% 14
2 Mathematics 164 19% 0% 18
3 Engineering, Chemical 139 17% 0% 16
4 Physics, Mathematical 56 7% 0% 7
5 Mathematics, Applied 42 10% 0% 9
6 Physics, Multidisciplinary 28 10% 0% 9
7 Chemistry, Multidisciplinary 28 14% 0% 13
8 Engineering, Petroleum 9 1% 0% 1
9 Astronomy & Astrophysics 8 5% 0% 5
10 Mechanics 8 4% 0% 4

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 SO MATH 86622 2% 13% 2
2 VLADIKAVKAZ 64966 2% 10% 2
3 SOUTHERN MATH 41912 2% 6% 2
4 VLADIKAVKAZ SCI 39503 3% 4% 3
5 MATH MECH COMP SCI 30135 3% 3% 3
6 SOUTH MATH 14764 1% 5% 1
7 SO SCI 4019 2% 1% 2
8 KARPOV PHYS CHEM 1297 1% 0% 1
9 MATH MODELING 585 1% 0% 1
10 COMPUTAT MATH CYBERNET 348 1% 0% 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 KHIMICHESKAYA PROMYSHLENNOST 118547 14% 3% 13
2 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 6365 6% 0% 6
3 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 3 FIZIKA ASTRONOMIYA 5754 5% 0% 5
4 DOKLADY AKADEMII NAUK BELARUSI 5540 7% 0% 7
5 BEITRAGE AUS DER PLASMAPHYSIK-CONTRIBUTIONS TO PLASMA PHYSICS 3347 1% 1% 1
6 DIFFERENTIAL EQUATIONS 3129 6% 0% 6
7 SIBERIAN MATHEMATICAL JOURNAL 2687 5% 0% 5
8 ZHURNAL TEKHNICHESKOI FIZIKI 1920 6% 0% 6
9 CHEMICAL AND PETROLEUM ENGINEERING 1754 1% 1% 1
10 THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING 1584 3% 0% 3

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 RAPIDLY OSCILLATING SUMMANDS 649694 2% 100% 2 Search RAPIDLY+OSCILLATING+SUMMANDS Search RAPIDLY+OSCILLATING+SUMMANDS
2 ALGORITHM FOR JUSTIFYING ASYMPTOTICS 324847 1% 100% 1 Search ALGORITHM+FOR+JUSTIFYING+ASYMPTOTICS Search ALGORITHM+FOR+JUSTIFYING+ASYMPTOTICS
3 ASYMPTOTICS OF TIME PERIODIC SOLUTIONS 324847 1% 100% 1 Search ASYMPTOTICS+OF+TIME+PERIODIC+SOLUTIONS Search ASYMPTOTICS+OF+TIME+PERIODIC+SOLUTIONS
4 COMPLETE ASYMPTOTIC EXPANSION OF A PERIODIC SOLUTION 324847 1% 100% 1 Search COMPLETE+ASYMPTOTIC+EXPANSION+OF+A+PERIODIC+SOLUTION Search COMPLETE+ASYMPTOTIC+EXPANSION+OF+A+PERIODIC+SOLUTION
5 COMPLETE ASYMPTOTIC EXPANSION OF A TIME PERIODIC SOLUTION 324847 1% 100% 1 Search COMPLETE+ASYMPTOTIC+EXPANSION+OF+A+TIME+PERIODIC+SOLUTION Search COMPLETE+ASYMPTOTIC+EXPANSION+OF+A+TIME+PERIODIC+SOLUTION
6 COMPLETELY JUSTIFIED ASYMPTOTICS FOR SOLUTIONS 324847 1% 100% 1 Search COMPLETELY+JUSTIFIED+ASYMPTOTICS+FOR+SOLUTIONS Search COMPLETELY+JUSTIFIED+ASYMPTOTICS+FOR+SOLUTIONS
7 CONSTRUCTION AND JUSTIFICATION OF THE COMPLETE ASYMPTOTICS OF A SOLUTION 324847 1% 100% 1 Search CONSTRUCTION+AND+JUSTIFICATION+OF+THE+COMPLETE+ASYMPTOTICS+OF+A+SOLUTION Search CONSTRUCTION+AND+JUSTIFICATION+OF+THE+COMPLETE+ASYMPTOTICS+OF+A+SOLUTION
8 CONSTRUCTION AND SUBSTANTIATION OF COMPLETE ASYMPTOTIC EXPANSIONS OF SOLUTIONS 324847 1% 100% 1 Search CONSTRUCTION+AND+SUBSTANTIATION+OF+COMPLETE+ASYMPTOTIC+EXPANSIONS+OF+SOLUTIONS Search CONSTRUCTION+AND+SUBSTANTIATION+OF+COMPLETE+ASYMPTOTIC+EXPANSIONS+OF+SOLUTIONS
9 DEGENERATE LIMITING PROBLEM 324847 1% 100% 1 Search DEGENERATE+LIMITING+PROBLEM Search DEGENERATE+LIMITING+PROBLEM
10 DEGENERATE STATIONARY AVERAGED SYSTEM 324847 1% 100% 1 Search DEGENERATE+STATIONARY+AVERAGED+SYSTEM Search DEGENERATE+STATIONARY+AVERAGED+SYSTEM

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 GUSACHENKO, VV , LEVENSHTAM, VB , (2015) ASYMPTOTIC ANALYSIS OF LINEAR PARABOLIC PROBLEMS WITH SINGULARITIES.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 55. ISSUE 1. P. 71 -84 7 100% 0
2 LEVENSHTAM, VB , ISHMEEV, MR , (2015) ASYMPTOTIC INTEGRATION OF LINEAR SYSTEM WITH HIGH-FREQUENCY COEFFICIENTS AND STOKES OPERATOR IN THE MAIN PART.ASYMPTOTIC ANALYSIS. VOL. 92. ISSUE 3-4. P. 363 -376 6 100% 0
3 SOLOUKHIN, RI , MARTYNENKO, OG , (1982) HEAT AND MASS-TRANSFER BIBLIOGRAPHY - SOVIET WORKS.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. VOL. 25. ISSUE 2. P. 151-160 26 63% 1
4 LEVENSHTAM, VB , SHUBIN, PE , (2016) JUSTIFICATION OF THE AVERAGING METHOD FOR DIFFERENTIAL EQUATIONS WITH LARGE RAPIDLY OSCILLATING SUMMANDS AND BOUNDARY CONDITIONS.MATHEMATICAL NOTES. VOL. 100. ISSUE 1-2. P. 80 -92 4 100% 0
5 LEVENSHTAM, VB , (2015) JUSTIFICATION OF THE AVERAGING METHOD FOR A SYSTEM OF EQUATIONS WITH THE NAVIER-STOKES OPERATOR IN THE PRINCIPAL PART.ST PETERSBURG MATHEMATICAL JOURNAL. VOL. 26. ISSUE 1. P. 69 -90 4 100% 1
6 LEVENSHTAM, VB , (2012) ASYMPTOTIC ANALYSIS OF LINEAR DIFFERENTIAL EQUATIONS WITH A LARGE PARAMETER: THE RESONANCE CASE.SIBERIAN MATHEMATICAL JOURNAL. VOL. 53. ISSUE 1. P. 100-105 4 100% 1
7 LEVENSHTAM, VB , (2014) ASYMPTOTIC INTEGRATION OF LINEAR PARABOLIC PROBLEMS WITH HIGH-FREQUENCY COEFFICIENTS IN THE CRITICAL CASE.MATHEMATICAL NOTES. VOL. 96. ISSUE 3-4. P. 499 -513 3 100% 0
8 BABICH, PV , LEVENSHTAM, VB , (2016) DIRECT AND INVERSE ASYMPTOTIC PROBLEMS WITH HIGH-FREQUENCY TERMS.ASYMPTOTIC ANALYSIS. VOL. 97. ISSUE 3-4. P. 329 -336 2 100% 0
9 KHATSKEVICH, VL , (2016) ON THE HOMOGENIZATION PRINCIPLE IN A TIME-PERIODIC PROBLEM FOR THE NAVIER-STOKES EQUATIONS WITH RAPIDLY OSCILLATING MASS FORCE.MATHEMATICAL NOTES. VOL. 99. ISSUE 5-6. P. 757 -768 2 100% 0
10 GUSACHENKO, VV , IL'ICHEVA, EA , LEVENSHTAM, VB , (2013) LINEAR PARABOLIC PROBLEM: HIGH-FREQUENCY ASYMPTOTICS IN THE CRITICAL CASE.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 53. ISSUE 7. P. 882-895 2 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 31290 LASG IAP CLIMATE SYSTEM OCEAN MODEL//SOLAR RADIATION PENETRATION//ABSORPTION OF SOLAR RADIATION
2 30215 GENERALIZED SEPARATION FACTOR//EL PR//AMPHOTERIC EXCHANGE
3 25405 VIBRATION FORCE FIELD//NEW MAT TECHNOL PACKAGE//ENGN NOVEL EQUIPMENT POLYMER PROC
4 31400 JOURNAL OF JAPAN SOCIETY OF LUBRICATION ENGINEERS//CONTACT FATIGUE CRACK FORMATION//DISCONTINUOUS RUBBING
5 26494 HIGH TEMPERATURE//ELECTRIC GAS BREAKDOWN//HIGHLY INHOMOGENEOUS PLASMA
6 29858 ADVANCED NIMONICS//BROWN 2250 GG//CO2 VAPOR COMPRESSION CYCLE
7 22458 SPINOZA//BARUCH DE SPINOZA//JEWISH CULTURE
8 26581 THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING//SMOLENSK BRANCH//INNOVATIVE RESOURCES
9 25166 ENERGY ENGN SYST ANAL DIRECTORATE//ENERGY SCI ENGN DIRECTORATE//PLATINUM DICHLORIDE
10 24312 SIMULAT NANOSTRUCT SYST//THEORET POLYMER PHYS//STELLA AVRAM GOREN GOLDSTEIN BIOTECHNOL EN

Go to start page