Class information for:
Level 1: RESOLVENT CONDITION//KREISS MATRIX THEOREM//MAXIMUM NORM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22112 392 18.2 32%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
1538 2             RUNGE KUTTA METHODS//GENERAL LINEAR METHODS//PHASE LAG 7453
22112 1                   RESOLVENT CONDITION//KREISS MATRIX THEOREM//MAXIMUM NORM 392

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 RESOLVENT CONDITION authKW 701054 3% 75% 12
2 KREISS MATRIX THEOREM authKW 467373 2% 100% 6
3 MAXIMUM NORM authKW 239332 3% 24% 13
4 A STABLE RATIONAL FUNCTIONS authKW 155791 1% 100% 2
5 ABSTRACT INITIAL BOUNDARY VALUE PROBLEMS authKW 155791 1% 100% 2
6 FORCED FISHER EQUATION authKW 155791 1% 100% 2
7 FRACTIONAL STEP RUNGE KUTTA METHODS authKW 155791 1% 100% 2
8 FRACTIONAL STEP RUNGE KUTTA NYSTROM METHODS authKW 155791 1% 100% 2
9 INITIAL BOUNDARY VALUES PROBLEMS authKW 155791 1% 100% 2
10 KREISS BOUNDED OPERATOR authKW 155791 1% 100% 2

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 13484 73% 0% 285
2 Mathematics 2016 32% 0% 124
3 Computer Science, Software Engineering 282 7% 0% 26
4 Mechanics 41 5% 0% 18
5 Multidisciplinary Sciences 32 2% 0% 7
6 Engineering, General 21 2% 0% 9
7 Mathematics, Interdisciplinary Applications 13 2% 0% 7
8 Physics, Mathematical 12 2% 0% 9
9 Computer Science, Interdisciplinary Applications 1 1% 0% 4
10 Thermodynamics 0 1% 0% 3

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 MATEMAT LICADA COMPUTAC 149657 4% 14% 14
2 ANAL SCI COMPUT 77896 0% 100% 1
3 ANCIEN MONTESORO 77896 0% 100% 1
4 CALCUL EPFL 77896 0% 100% 1
5 CIENCIAS DPTO ECUAC FUNC 77896 0% 100% 1
6 GRAMM MATH PL 77896 0% 100% 1
7 HYPOINT 77896 0% 100% 1
8 LEHRSTUHL OPTIMALSTEUERUNG 77896 0% 100% 1
9 MATEMAT ALICADA COMPUTAC 77896 0% 100% 1
10 SECT PL THEORET MECH 77896 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 BIT NUMERICAL MATHEMATICS 30106 6% 2% 24
2 MATHEMATICS OF COMPUTATION 26856 9% 1% 37
3 NUMERISCHE MATHEMATIK 17643 7% 1% 26
4 SIAM JOURNAL ON NUMERICAL ANALYSIS 17111 8% 1% 30
5 APPLIED NUMERICAL MATHEMATICS 11663 5% 1% 21
6 STUDIA MATHEMATICA 5974 4% 1% 15
7 COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART A 3662 1% 2% 2
8 IMA JOURNAL OF NUMERICAL ANALYSIS 3434 2% 1% 8
9 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 2067 2% 0% 7
10 JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS 1945 0% 3% 1

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 RESOLVENT CONDITION 701054 3% 75% 12 Search RESOLVENT+CONDITION Search RESOLVENT+CONDITION
2 KREISS MATRIX THEOREM 467373 2% 100% 6 Search KREISS+MATRIX+THEOREM Search KREISS+MATRIX+THEOREM
3 MAXIMUM NORM 239332 3% 24% 13 Search MAXIMUM+NORM Search MAXIMUM+NORM
4 A STABLE RATIONAL FUNCTIONS 155791 1% 100% 2 Search A+STABLE+RATIONAL+FUNCTIONS Search A+STABLE+RATIONAL+FUNCTIONS
5 ABSTRACT INITIAL BOUNDARY VALUE PROBLEMS 155791 1% 100% 2 Search ABSTRACT+INITIAL+BOUNDARY+VALUE+PROBLEMS Search ABSTRACT+INITIAL+BOUNDARY+VALUE+PROBLEMS
6 FORCED FISHER EQUATION 155791 1% 100% 2 Search FORCED+FISHER+EQUATION Search FORCED+FISHER+EQUATION
7 FRACTIONAL STEP RUNGE KUTTA METHODS 155791 1% 100% 2 Search FRACTIONAL+STEP+RUNGE+KUTTA+METHODS Search FRACTIONAL+STEP+RUNGE+KUTTA+METHODS
8 FRACTIONAL STEP RUNGE KUTTA NYSTROM METHODS 155791 1% 100% 2 Search FRACTIONAL+STEP+RUNGE+KUTTA+NYSTROM+METHODS Search FRACTIONAL+STEP+RUNGE+KUTTA+NYSTROM+METHODS
9 INITIAL BOUNDARY VALUES PROBLEMS 155791 1% 100% 2 Search INITIAL+BOUNDARY+VALUES+PROBLEMS Search INITIAL+BOUNDARY+VALUES+PROBLEMS
10 KREISS BOUNDED OPERATOR 155791 1% 100% 2 Search KREISS+BOUNDED+OPERATOR Search KREISS+BOUNDED+OPERATOR

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 CALVO, MP , PALENCIA, C , (2002) AVOIDING THE ORDER REDUCTION OF RUNGE-KUTTA METHODS FOR LINEAR INITIAL BOUNDARY VALUE PROBLEMS.MATHEMATICS OF COMPUTATION. VOL. 71. ISSUE 240. P. 1529-1543 20 91% 8
2 ALONSO-MALLO, I , (2002) RUNGE-KUTTA METHODS WITHOUT ORDER REDUCTION FOR LINEAR INITIAL BOUNDARY VALUE PROBLEMS.NUMERISCHE MATHEMATIK. VOL. 91. ISSUE 4. P. 577 -603 17 89% 11
3 SPIJKER, MN , TRACOGNA, S , WELFERT, BD , (2003) ABOUT THE SHARPNESS OF THE STABILITY ESTIMATES IN THE KREISS MATRIX THEOREM.MATHEMATICS OF COMPUTATION. VOL. 72. ISSUE 242. P. 697-713 14 100% 8
4 LI, BY , (2015) MAXIMUM-NORM STABILITY AND MAXIMAL REGULARITY OF FEMS FOR PARABOLIC EQUATIONS WITH LIPSCHITZ CONTINUOUS COEFFICIENTS.NUMERISCHE MATHEMATIK. VOL. 131. ISSUE 3. P. 489 -516 15 65% 3
5 LEKA, Z , (2014) TIME REGULARITY AND FUNCTIONS OF THE VOLTERRA OPERATOR.STUDIA MATHEMATICA. VOL. 220. ISSUE 1. P. 1 -14 12 80% 4
6 ALONSO-MALLO, I , PALENCIA, C , (2003) OPTIMAL ORDERS OF CONVERGENCE FOR RUNGE-KUTTA METHODS AND LINEAR, INITIAL BOUNDARY VALUE PROBLEMS.APPLIED NUMERICAL MATHEMATICS. VOL. 44. ISSUE 1-2. P. 1-19 13 100% 2
7 MORETA, MJ , BUJANDA, B , JORGE, JC , (2016) AVOIDING THE ORDER REDUCTION WHEN SOLVING SECOND-ORDER IN TIME PDES WITH FRACTIONAL STEP RUNGE-KUTTA-NYSTROM METHODS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 71. ISSUE 7. P. 1425 -1447 9 100% 0
8 ALONSO-MALLO, I , CANO, B , (2002) SPECTRAL/ROSENBROCK DISCRETIZATIONS WITHOUT ORDER REDUCTION FOR LINEAR PARABOLIC PROBLEMS.APPLIED NUMERICAL MATHEMATICS. VOL. 41. ISSUE 2. P. 247 -268 16 73% 6
9 IN'T HOUT, KJ , SPIJKER, MN , (2003) ANALYSIS OF ERROR GROWTH VIA STABILITY REGIONS IN NUMERICAL INITIAL VALUE PROBLEMS.BIT NUMERICAL MATHEMATICS. VOL. 43. ISSUE 2. P. 363-385 13 87% 1
10 BAKAEV, NY , (1998) ON VARIABLE STEPSIZE RUNGE-KUTTA APPROXIMATIONS OF A CAUCHY PROBLEM FOR THE EVOLUTION EQUATION.BIT NUMERICAL MATHEMATICS. VOL. 38. ISSUE 3. P. 462 -485 13 100% 13

Classes with closest relation at Level 1


Rank Class id link
1 14340 MAXIMAL REGULARITY//DIFFERENTIAL OPERATOR EQUATIONS//OPERATOR VALUED FOURIER MULTIPLIERS
2 4898 GENERAL LINEAR METHODS//RUNGE KUTTA METHODS//ORDER CONDITIONS
3 18236 BOUNDED CONJUGATION ORBIT//KATZNELSON TZAFRIRI THEOREM//ARENS MICHAEL REPRESENTATION
4 28993 MEAN ERGODIC OPERATOR//POWER BOUNDED OPERATOR//COHOMOLOGY EQUATION
5 14970 INTEGRATED SEMIGROUP//C SEMIGROUPS//ABSTRACT CAUCHY PROBLEM
6 24665 AIR POLLUTION MODELS//TROTTER KATO PRODUCT FORMULA//OPERATOR NORM CONVERGENCE
7 32017 GENERALIZED GREENS FUNCTION//MULTIRATE TIME STEPPING//OPERATOR DECOMPOSITION
8 16120 EXPONENTIAL INTEGRATORS//MATRIX FUNCTIONS//MATRIX EXPONENTIAL
9 36311 CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY
10 8961 FINITE VOLUME ELEMENT METHOD//CHARACTERISTIC METHODS//EULERIAN LAGRANGIAN METHOD

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