Class information for:
Level 1: SUMMATION BY PARTS//HIGH ORDER FINITE DIFFERENCE METHODS//SUMMATION BY PARTS OPERATORS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18105 566 23.1 43%


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
68 3       ENGINEERING, AEROSPACE//AIAA JOURNAL//MECHANICS 84081
762 2             JOURNAL OF COMPUTATIONAL PHYSICS//SMOOTHED PARTICLE HYDRODYNAMICS//SHALLOW WATER EQUATIONS 12326
18105 1                   SUMMATION BY PARTS//HIGH ORDER FINITE DIFFERENCE METHODS//SUMMATION BY PARTS OPERATORS 566

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 SUMMATION BY PARTS authKW 1730247 7% 76% 42
2 HIGH ORDER FINITE DIFFERENCE METHODS authKW 842276 4% 71% 22
3 SUMMATION BY PARTS OPERATORS authKW 820577 3% 89% 17
4 SIMULTANEOUS APPROXIMATION TERMS authKW 647379 2% 100% 12
5 SBP SAT authKW 414982 2% 77% 10
6 OVERLAPPING GRIDS authKW 293701 2% 39% 14
7 AERONAUT SYST INTEGRAT address 264342 1% 70% 7
8 COASTAL OCEAN FLOW authKW 161845 1% 100% 3
9 MESH INTERFACE authKW 161845 1% 100% 3
10 SMALL CELL PROBLEM authKW 161845 1% 100% 3

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 Computer Science, Interdisciplinary Applications 10207 36% 0% 205
2 Mathematics, Applied 5115 38% 0% 215
3 Physics, Mathematical 4729 26% 0% 146
4 Mechanics 1605 19% 0% 108
5 Engineering, Aerospace 1164 7% 0% 40
6 Mathematics, Interdisciplinary Applications 819 9% 0% 51
7 Physics, Fluids & Plasmas 456 7% 0% 42
8 Engineering, General 124 4% 0% 23
9 Computer Science, Software Engineering 67 3% 0% 17
10 Mathematics 23 4% 0% 25

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 AERONAUT SYST INTEGRAT 264342 1% 70% 7
2 AERODYNAM FFA 107896 0% 100% 2
3 COMPUTAT AEROSCI BRANCH CASB 107896 0% 100% 2
4 LANGLEY LARC 107896 0% 100% 2
5 SCI COMP INFORMAT TECHNOL 103740 1% 38% 5
6 AEROSP FLIGHT 97104 1% 60% 3
7 PL SCI COMP 77465 4% 6% 25
8 COMP AERODYNAM 71930 0% 67% 2
9 AERONAUT VEHICAL ENGN 53948 0% 100% 1
10 AEROSP VEHICLE ENGN 53948 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 JOURNAL OF COMPUTATIONAL PHYSICS 83147 23% 1% 131
2 JOURNAL OF SCIENTIFIC COMPUTING 40425 6% 2% 33
3 SIAM JOURNAL ON SCIENTIFIC COMPUTING 13101 5% 1% 29
4 COMPUTERS & FLUIDS 13077 5% 1% 30
5 INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 12207 6% 1% 34
6 SIAM JOURNAL ON NUMERICAL ANALYSIS 8880 5% 1% 26
7 APPLIED NUMERICAL MATHEMATICS 8064 4% 1% 21
8 MATHEMATICS OF COMPUTATION 4880 3% 0% 19
9 AIAA JOURNAL 4762 6% 0% 32
10 IMA JOURNAL OF NUMERICAL ANALYSIS 4496 2% 1% 11

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 SUMMATION BY PARTS 1730247 7% 76% 42 Search SUMMATION+BY+PARTS Search SUMMATION+BY+PARTS
2 HIGH ORDER FINITE DIFFERENCE METHODS 842276 4% 71% 22 Search HIGH+ORDER+FINITE+DIFFERENCE+METHODS Search HIGH+ORDER+FINITE+DIFFERENCE+METHODS
3 SUMMATION BY PARTS OPERATORS 820577 3% 89% 17 Search SUMMATION+BY+PARTS+OPERATORS Search SUMMATION+BY+PARTS+OPERATORS
4 SIMULTANEOUS APPROXIMATION TERMS 647379 2% 100% 12 Search SIMULTANEOUS+APPROXIMATION+TERMS Search SIMULTANEOUS+APPROXIMATION+TERMS
5 SBP SAT 414982 2% 77% 10 Search SBP+SAT Search SBP+SAT
6 OVERLAPPING GRIDS 293701 2% 39% 14 Search OVERLAPPING+GRIDS Search OVERLAPPING+GRIDS
7 COASTAL OCEAN FLOW 161845 1% 100% 3 Search COASTAL+OCEAN+FLOW Search COASTAL+OCEAN+FLOW
8 MESH INTERFACE 161845 1% 100% 3 Search MESH+INTERFACE Search MESH+INTERFACE
9 SMALL CELL PROBLEM 161845 1% 100% 3 Search SMALL+CELL+PROBLEM Search SMALL+CELL+PROBLEM
10 STABLE STENCIL 161845 1% 100% 3 Search STABLE+STENCIL Search STABLE+STENCIL

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 SVARD, M , NORDSTROM, J , (2014) REVIEW OF SUMMATION-BY-PARTS SCHEMES FOR INITIAL-BOUNDARY-VALUE PROBLEMS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 268. ISSUE . P. 17 -38 82 80% 21
2 FERNANDEZ, DCD , HICKEN, JE , ZINGG, DW , (2014) REVIEW OF SUMMATION-BY-PARTS OPERATORS WITH SIMULTANEOUS APPROXIMATION TERMS FOR THE NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS.COMPUTERS & FLUIDS. VOL. 95. ISSUE . P. 171 -196 58 71% 10
3 BERG, J , NORDSTROM, J , (2014) DUALITY BASED BOUNDARY CONDITIONS AND DUAL CONSISTENT FINITE DIFFERENCE DISCRETIZATIONS OF THE NAVIER-STOKES AND EULER EQUATIONS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 259. ISSUE . P. 135 -153 31 91% 1
4 FERNANDEZ, DCD , BOOM, PD , ZINGG, DW , (2017) CORNER-CORRECTED DIAGONAL-NORM SUMMATION-BY-PARTS OPERATORS FOR THE FIRST DERIVATIVE WITH INCREASED ORDER OF ACCURACY.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 330. ISSUE . P. 902 -923 25 96% 0
5 FERNANDEZ, DD , BOOM, PD , ZINGG, DW , (2014) A GENERALIZED FRAMEWORK FOR NODAL FIRST DERIVATIVE SUMMATION-BY-PARTS OPERATORS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 266. ISSUE . P. 214 -239 27 75% 9
6 MATTSSON, K , ALMQUIST, M , CARPENTER, MH , (2014) OPTIMAL DIAGONAL-NORM SBP OPERATORS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 264. ISSUE . P. 91 -111 29 71% 4
7 NORDSTROM, J , ERIKSSON, S , ELIASSON, P , (2012) WEAK AND STRONG WALL BOUNDARY PROCEDURES AND CONVERGENCE TO STEADY-STATE OF THE NAVIER-STOKES EQUATIONS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 231. ISSUE 14. P. 4867-4884 28 78% 2
8 WANG, SY , VIRTA, K , KREISS, G , (2016) HIGH ORDER FINITE DIFFERENCE METHODS FOR THE WAVE EQUATION WITH NON-CONFORMING GRID INTERFACES.JOURNAL OF SCIENTIFIC COMPUTING. VOL. 68. ISSUE 3. P. 1002 -1028 21 91% 0
9 REICHERT, A , HEATH, MT , BODONY, DJ , (2012) ENERGY STABLE NUMERICAL METHODS FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS USING OVERLAPPING DOMAIN DECOMPOSITION.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 231. ISSUE 16. P. 5243-5265 28 74% 2
10 MATTSSON, K , ALMQUIST, M , (2013) A SOLUTION TO THE STABILITY ISSUES WITH BLOCK NORM SUMMATION BY PARTS OPERATORS.JOURNAL OF COMPUTATIONAL PHYSICS. VOL. 253. ISSUE . P. 418-442 23 82% 10

Classes with closest relation at Level 1


Rank Class id link
1 4240 HYPERBOLIC CONSERVATION LAWS//HIGH ORDER ACCURACY//WENO SCHEME
2 11305 CARBUNCLE PHENOMENON//SHOCK INSTABILITY//LOW MACH NUMBER FLOW
3 12746 CONSTRAINED TRANSPORT//MULTIDIMENSIONAL RIEMANN SOLVERS//CE SE METHOD
4 18023 HIGH ORDER COMPACT SCHEME//UNSTEADY CONVECTION DIFFUSION EQUATION//HIGH PERFORMANCE SCI COMP COMP SIMULAT
5 6664 NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS//INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS//COLOCATED GRIDS
6 36547 EQUIVALENT MONOMASS OSCILLATOR//MULTIMODAL OSCILLATOR//TUNED DYNAMIC DAMPER
7 6932 IMMERSED BOUNDARY METHOD//IMMERSED INTERFACE METHOD//IMMERSED BOUNDARY
8 6877 PERFECTLY MATCHED LAYER//ABSORBING BOUNDARY CONDITIONS//NON REFLECTING BOUNDARY CONDITION
9 22592 MANUFACTURED SOLUTIONS//CODE VERIFICATION//AREA METRIC
10 4201 COMPUTATIONAL AEROACOUSTICS//INTERNATIONAL JOURNAL OF AEROACOUSTICS//JET NOISE

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