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Author ID: diethelm.kai Recent zbMATH articles by "Diethelm, Kai"
Published as: Diethelm, Kai; Diethelm, K.
Homepage: https://fang.fhws.de/fakultaet/personen/professoren-und-lehrkraefte/person/prof-...
External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef
Documents Indexed: 66 Publications since 1994, including 5 Books
Reviewing Activity: 403 Reviews
Co-Authors: 22 Co-Authors with 28 Joint Publications
1,354 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 4,928 times in 3,513 Documents Cited by Year
The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type. Zbl 1215.34001
Diethelm, Kai
2010
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
697
2002
Fractional calculus. Models and numerical methods. Zbl 1248.26011
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
675
2012
Analysis of fractional differential equations. Zbl 1014.34003
Diethelm, Kai; Ford, Neville J.
568
2002
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
353
2004
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
222
2005
An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071
Diethelm, Kai
218
1997
Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067
Diethelm, K.; Ford, N. J.
115
2002
Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070
Diethelm, Kai; Ford, Neville J.
114
2004
Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070
Diethelm, Kai; Walz, Guido
92
1997
Numerical analysis for distributed-order differential equations. Zbl 1159.65103
Diethelm, Kai; Ford, Neville J.
92
2009
Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550
Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc
65
2006
Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
54
2017
Numerical solutions of linear multi-term initial value problems of fractional order. Zbl 1083.65064
Diethelm, Kai; Luchko, Yuri
50
2004
Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods. Zbl 1035.65066
Diethelm, K.
50
2003
An efficient parallel algorithm for the numerical solution of fractional differential equations. Zbl 1273.65101
Diethelm, Kai
36
2011
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017
Diethelm, Kai
35
2008
Generalized compound quadrature formulae for finite-part integrals. Zbl 0871.41021
Diethelm, Kai
28
1997
Numerical solution methods for distributed order differential equations. Zbl 1032.65070
Diethelm, Kai; Ford, Neville J.
22
2001
Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003
Diethelm, Kai; Ford, Neville J.
22
2012
The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus. Zbl 1284.34010
Diethelm, Kai
21
2012
Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates. Zbl 0847.41019
Diethelm, Kai
16
1995
Why fractional derivatives with nonsingular kernels should not be used. Zbl 1474.26020
Diethelm, Kai; Garrappa, Roberto; Giusti, Andrea; Stynes, Martin
16
2020
Asymptotic behavior of solutions of linear multi-order fractional differential systems. Zbl 1386.34012
Diethelm, Kai; Siegmund, Stefan; Tuan, H. T.
15
2017
Smoothness properties of solutions of Caputo-type fractional differential equations. Zbl 1136.26302
Diethelm, Kai
13
2007
Modified compound quadrature rules for strongly singular integrals. Zbl 0809.41026
Diethelm, K.
13
1994
Approximation methods and stability of singular integral equations for Freud exponential weights on the line. Zbl 1085.41020
Damelin, S. B.; Diethelm, K.
12
2004
An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022
Diethelm, K.; Freed, A. D.
11
2006
On the separation of solutions of fractional differential equations. Zbl 1170.34022
Diethelm, Kai
11
2008
Fractional-order attractors synthesis via parameter switchings. Zbl 1222.37107
Danca, Marius F.; Diethelm, Kai
11
2010
Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303
Freed, Alan D.; Diethelm, Kai
10
2007
Monotonicity of functions and sign changes of their Caputo derivatives. Zbl 1337.26009
Diethelm, Kai
10
2016
Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals. Zbl 0821.41027
Diethelm, Kai
8
1994
A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009
Diethelm, Kai; Ford, Neville J.
7
2018
Boundedness and uniform numerical approximation of the weighted Hilbert transform on the real line. Zbl 0983.41015
Damelin, S. B.; Diethelm, Kai
7
2001
Predictor-corrector strategies for single- and multi-term fractional differential equations. Zbl 1028.65081
Diethelm, Kai
7
2002
Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals. Zbl 0857.41027
Diethelm, Kai
7
1996
Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Zbl 0940.65023
Damelin, S. B.; Diethelm, Kai
7
1999
A method for the practical evaluation of the Hilbert transform on the real line. Zbl 0944.65139
Diethelm, Kai
6
1999
Increasing the efficiency of shooting methods for terminal value problems of fractional order. Zbl 1349.65211
Diethelm, Kai
6
2015
Asymptotically sharp error bounds for a quadrature rule for Cauchy principal value integrals based on piecewise linear interpolation. Zbl 0851.41025
Diethelm, Kai
5
1995
An extension of the well-posedness concept for fractional differential equations of Caputo’s type. Zbl 1307.34008
Diethelm, Kai
5
2014
New error bounds for modified quadrature formulas for Cauchy principal value integrals. Zbl 0880.41024
Diethelm, Kai
4
1997
Non-optimality of certain quadrature rules for Cauchy principal value integrals. Zbl 0802.65017
Diethelm, K.
4
1994
Error estimates for a quadrature rule for Cauchy principal value integrals. Zbl 0815.41024
Diethelm, Kai
4
1994
Error bounds for spline-based quadrature methods for strongly singular integrals. Zbl 0908.41022
Diethelm, Kai
4
1998
Erratum to: ‘The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus”. Zbl 1430.34003
Diethelm, Kai
3
2017
Error bounds for the numerical integration of functions with limited smoothness. Zbl 1305.41030
Diethelm, Kai
2
2014
Two general methods for the numerical approximation of multidimensional Cauchy principal value integrals. Zbl 0976.65025
Diethelm, Kai
2
2000
Weighted polynomial approximation and Hilbert transforms: their connections to the numerical solution of singular integral equations. Zbl 1072.41002
Damelin, S. B.; Diethelm, K.
2
2004
A numerical approach for Joulin’s model of a point source initiated flame. Zbl 1094.80006
Diethelm, Kai; Weilbeer, Marc
2
2004
Peano kernels of non-integer order. Zbl 0880.41022
Diethelm, K.
1
1997
Monotonicity results for a compound quadrature method for finite-part integrals. Zbl 1063.41021
Diethelm, Kai
1
2004
Existence and construction of definite estimation functionals. Zbl 0959.41020
Diethelm, K.
1
1999
Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals. Zbl 0949.41019
Diethelm, Kai; Köhler, Peter
1
2000
The order of convergence of modified interpolatory quadratures for singular integrals of Cauchy type. Zbl 0850.65031
Diethelm, Kai
1
1995
Why fractional derivatives with nonsingular kernels should not be used. Zbl 1474.26020
Diethelm, Kai; Garrappa, Roberto; Giusti, Andrea; Stynes, Martin
16
2020
A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009
Diethelm, Kai; Ford, Neville J.
7
2018
Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
54
2017
Asymptotic behavior of solutions of linear multi-order fractional differential systems. Zbl 1386.34012
Diethelm, Kai; Siegmund, Stefan; Tuan, H. T.
15
2017
Erratum to: ‘The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus”. Zbl 1430.34003
Diethelm, Kai
3
2017
Monotonicity of functions and sign changes of their Caputo derivatives. Zbl 1337.26009
Diethelm, Kai
10
2016
Increasing the efficiency of shooting methods for terminal value problems of fractional order. Zbl 1349.65211
Diethelm, Kai
6
2015
An extension of the well-posedness concept for fractional differential equations of Caputo’s type. Zbl 1307.34008
Diethelm, Kai
5
2014
Error bounds for the numerical integration of functions with limited smoothness. Zbl 1305.41030
Diethelm, Kai
2
2014
Fractional calculus. Models and numerical methods. Zbl 1248.26011
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
675
2012
Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003
Diethelm, Kai; Ford, Neville J.
22
2012
The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus. Zbl 1284.34010
Diethelm, Kai
21
2012
An efficient parallel algorithm for the numerical solution of fractional differential equations. Zbl 1273.65101
Diethelm, Kai
36
2011
The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type. Zbl 1215.34001
Diethelm, Kai
2010
Fractional-order attractors synthesis via parameter switchings. Zbl 1222.37107
Danca, Marius F.; Diethelm, Kai
11
2010
Numerical analysis for distributed-order differential equations. Zbl 1159.65103
Diethelm, Kai; Ford, Neville J.
92
2009
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017
Diethelm, Kai
35
2008
On the separation of solutions of fractional differential equations. Zbl 1170.34022
Diethelm, Kai
11
2008
Smoothness properties of solutions of Caputo-type fractional differential equations. Zbl 1136.26302
Diethelm, Kai
13
2007
Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303
Freed, Alan D.; Diethelm, Kai
10
2007
Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550
Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc
65
2006
An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022
Diethelm, K.; Freed, A. D.
11
2006
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
222
2005
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
353
2004
Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070
Diethelm, Kai; Ford, Neville J.
114
2004
Numerical solutions of linear multi-term initial value problems of fractional order. Zbl 1083.65064
Diethelm, Kai; Luchko, Yuri
50
2004
Approximation methods and stability of singular integral equations for Freud exponential weights on the line. Zbl 1085.41020
Damelin, S. B.; Diethelm, K.
12
2004
Weighted polynomial approximation and Hilbert transforms: their connections to the numerical solution of singular integral equations. Zbl 1072.41002
Damelin, S. B.; Diethelm, K.
2
2004
A numerical approach for Joulin’s model of a point source initiated flame. Zbl 1094.80006
Diethelm, Kai; Weilbeer, Marc
2
2004
Monotonicity results for a compound quadrature method for finite-part integrals. Zbl 1063.41021
Diethelm, Kai
1
2004
Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods. Zbl 1035.65066
Diethelm, K.
50
2003
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
697
2002
Analysis of fractional differential equations. Zbl 1014.34003
Diethelm, Kai; Ford, Neville J.
568
2002
Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067
Diethelm, K.; Ford, N. J.
115
2002
Predictor-corrector strategies for single- and multi-term fractional differential equations. Zbl 1028.65081
Diethelm, Kai
7
2002
Numerical solution methods for distributed order differential equations. Zbl 1032.65070
Diethelm, Kai; Ford, Neville J.
22
2001
Boundedness and uniform numerical approximation of the weighted Hilbert transform on the real line. Zbl 0983.41015
Damelin, S. B.; Diethelm, Kai
7
2001
Two general methods for the numerical approximation of multidimensional Cauchy principal value integrals. Zbl 0976.65025
Diethelm, Kai
2
2000
Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals. Zbl 0949.41019
Diethelm, Kai; Köhler, Peter
1
2000
Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Zbl 0940.65023
Damelin, S. B.; Diethelm, Kai
7
1999
A method for the practical evaluation of the Hilbert transform on the real line. Zbl 0944.65139
Diethelm, Kai
6
1999
Existence and construction of definite estimation functionals. Zbl 0959.41020
Diethelm, K.
1
1999
Error bounds for spline-based quadrature methods for strongly singular integrals. Zbl 0908.41022
Diethelm, Kai
4
1998
An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071
Diethelm, Kai
218
1997
Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070
Diethelm, Kai; Walz, Guido
92
1997
Generalized compound quadrature formulae for finite-part integrals. Zbl 0871.41021
Diethelm, Kai
28
1997
New error bounds for modified quadrature formulas for Cauchy principal value integrals. Zbl 0880.41024
Diethelm, Kai
4
1997
Peano kernels of non-integer order. Zbl 0880.41022
Diethelm, K.
1
1997
Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals. Zbl 0857.41027
Diethelm, Kai
7
1996
Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates. Zbl 0847.41019
Diethelm, Kai
16
1995
Asymptotically sharp error bounds for a quadrature rule for Cauchy principal value integrals based on piecewise linear interpolation. Zbl 0851.41025
Diethelm, Kai
5
1995
The order of convergence of modified interpolatory quadratures for singular integrals of Cauchy type. Zbl 0850.65031
Diethelm, Kai
1
1995
Modified compound quadrature rules for strongly singular integrals. Zbl 0809.41026
Diethelm, K.
13
1994
Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals. Zbl 0821.41027
Diethelm, Kai
8
1994
Non-optimality of certain quadrature rules for Cauchy principal value integrals. Zbl 0802.65017
Diethelm, K.
4
1994
Error estimates for a quadrature rule for Cauchy principal value integrals. Zbl 0815.41024
Diethelm, Kai
4
1994
all top 5

Cited by 4,206 Authors

172 Băleanu, Dumitru I.
65 Ntouyas, Sotiris K.
56 Ahmad, Bashir
45 Benchohra, Mouffak
38 Gómez-Aguilar, José Francisco
38 Machado, José António Tenreiro
38 Wang, Jinrong
37 Agarwal, Ravi P.
36 Liu, Fawang
32 Al-saedi, Ahmed Eid Salem
32 Li, Changpin
32 Nieto Roig, Juan Jose
32 Tariboon, Jessada
29 Dehghan Takht Fooladi, Mehdi
28 Diethelm, Kai
28 Jafari, Hossein
28 Momani, Shaher M.
27 Ford, Neville J.
27 Zhou, Yong
26 Abbas, Said
26 Wang, Hong
25 Daftardar-Gejji, Varsha
24 Garrappa, Roberto
23 Danca, Marius-Florin
23 Turner, Ian William
23 Zheng, Xiangcheng
22 Abdeljawad, Thabet
22 Atangana, Abdon
22 O’Regan, Donal
21 Stynes, Martin
21 Zeng, Fanhai
20 Torres, Delfim Fernando Marado
20 Wang, Guotao
19 Bhrawy, Ali Hassan
18 Khader, Mohamed M.
18 Tarasov, Vasily E.
17 Deng, Weihua
17 Salahshour, Soheil
17 Yang, Xiao-Jun
16 Abbaszadeh, Mostafa
16 Anastassiou, George Angelos
16 Bhalekar, Sachin
16 Cao, Jinde
16 Chen, Yangquan
15 Fečkan, Michal
15 Khristova, Snezhana G.
15 Kostić, Marko
15 Kumar, Sunil
15 Li, Hong
15 Liu, Yang
15 Trujillo, Juan J.
15 Yan, Yubin
14 Karniadakis, George Em
14 Owolabi, Kolade Matthew
14 Wu, Guocheng
14 Zhang, Lihong
13 Ahmadian, Ali
13 Fernandez, Arran
13 Jiang, Xiaoyun
13 Srivastava, Hari Mohan
13 Sweilam, Nasser Hassan
13 Tuan, Hoang The
12 Abdo, Mohammed Salem
12 Agarwal, Praveen
12 Chu, Yuming
12 Kolokoltsov, Vassili N.
12 Odibat, Zaid M.
12 Rezapour, Shahram
11 El-Sayed, Ahmed Mohamed Ahmed
11 Escobar-Jiménez, Ricardo Fabricio
11 Jarad, Fahd
11 Javidi, Mohammad
11 Jia, Mei
11 Kumar, Sachin
11 Lopes, António M.
11 Ouahab, Abdelghani
11 Pedas, Arvet
11 Rajagopal, Karthikeyan
11 Sayevand, Khosro
11 Shah, Kamal
11 Stamova, Ivanka Milkova
11 Sun, Hongguang
11 Yang, Xiaozhong
11 Zaky, Mahmoud A.
10 Anh, Vo V.
10 Doungmo Goufo, Emile Franc
10 El-Saka, Hala A. A.
10 Gomoyunov, Mikhail Igorevich
10 Goodrich, Christopher S.
10 Henderson, Johnny Lee
10 Ibrahim, Rabha Waell
10 Inc, Mustafa
10 Mohebbi, Akbar
10 Sun, Zhizhong
10 Tavazoei, Mohammad Saleh
10 Ur Rehman, Mujeeb
10 Xu, Chuanju
10 Yu, Yongguang
10 Zhao, Jingjun
9 Almeida, Ricardo
...and 4,106 more Authors
all top 5

Cited in 394 Serials

236 Advances in Difference Equations
145 Fractional Calculus & Applied Analysis
143 Chaos, Solitons and Fractals
132 Applied Mathematics and Computation
130 Abstract and Applied Analysis
122 Nonlinear Dynamics
121 Journal of Computational and Applied Mathematics
107 Computers & Mathematics with Applications
85 Communications in Nonlinear Science and Numerical Simulation
65 Computational and Applied Mathematics
59 Mathematical Problems in Engineering
58 Applied Numerical Mathematics
50 Journal of Computational Physics
49 Journal of Applied Mathematics and Computing
47 AIMS Mathematics
46 Applied Mathematical Modelling
43 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
39 Numerical Algorithms
39 International Journal of Applied and Computational Mathematics
38 Fractals
38 Discrete Dynamics in Nature and Society
37 International Journal of Computer Mathematics
36 Journal of Scientific Computing
32 Mathematics and Computers in Simulation
31 Boundary Value Problems
30 Physica A
30 Advances in Mathematical Physics
28 Chaos
27 Mathematical Methods in the Applied Sciences
27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
27 Applied Mathematics Letters
27 Fractional Differential Calculus
26 Journal of Mathematical Analysis and Applications
25 Mediterranean Journal of Mathematics
25 Journal of Function Spaces
21 Complexity
19 Journal of Optimization Theory and Applications
19 Journal of Integral Equations and Applications
19 Filomat
17 International Journal of Nonlinear Sciences and Numerical Simulation
17 Discrete and Continuous Dynamical Systems. Series S
17 International Journal of Biomathematics
17 Open Mathematics
16 SIAM Journal on Scientific Computing
16 Differential Equations and Dynamical Systems
15 Turkish Journal of Mathematics
15 International Journal of Differential Equations
14 Advances in Computational Mathematics
14 Journal of Vibration and Control
14 Nonlinear Analysis. Modelling and Control
14 Mathematics
13 Computer Methods in Applied Mechanics and Engineering
13 Journal of the Franklin Institute
13 Mathematical Modelling of Natural Phenomena
13 Journal of Nonlinear Science and Applications
12 BIT
12 SIAM Journal on Numerical Analysis
12 Discrete and Continuous Dynamical Systems. Series B
12 Journal of Applied Mathematics
12 Journal of Applied Analysis and Computation
11 Acta Mechanica
11 Numerical Functional Analysis and Optimization
11 Journal of Inequalities and Applications
11 Waves in Random and Complex Media
11 Journal of Mathematics
10 Asian Journal of Control
10 Axioms
10 Computational Methods for Differential Equations
9 Applicable Analysis
9 Engineering Analysis with Boundary Elements
9 Cubo
9 Advances in Applied Mathematics and Mechanics
8 Calcolo
8 Signal Processing
8 Soft Computing
8 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 S\(\vec{\text{e}}\)MA Journal
8 East Asian Journal on Applied Mathematics
7 Circuits, Systems, and Signal Processing
7 Journal of the Egyptian Mathematical Society
7 Symmetry
7 Palestine Journal of Mathematics
7 Communications on Applied Mathematics and Computation
6 Automatica
6 Results in Mathematics
6 SIAM Journal on Control and Optimization
6 Computational Mechanics
6 Discrete and Continuous Dynamical Systems
6 Mathematical Modelling and Analysis
6 Computational Methods in Applied Mathematics
6 Fixed Point Theory and Applications
6 Proceedings of the Steklov Institute of Mathematics
6 Tbilisi Mathematical Journal
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Mathematical Sciences
6 Evolution Equations and Control Theory
6 Journal of Applied Nonlinear Dynamics
6 International Journal of Systems Science. Principles and Applications of Systems and Integration
5 Reports on Mathematical Physics
...and 294 more Serials
all top 5

Cited in 52 Fields

1,859 Ordinary differential equations (34-XX)
1,197 Numerical analysis (65-XX)
1,102 Real functions (26-XX)
836 Partial differential equations (35-XX)
320 Integral equations (45-XX)
320 Operator theory (47-XX)
292 Systems theory; control (93-XX)
289 Biology and other natural sciences (92-XX)
215 Dynamical systems and ergodic theory (37-XX)
137 Special functions (33-XX)
102 Approximations and expansions (41-XX)
101 Probability theory and stochastic processes (60-XX)
98 Calculus of variations and optimal control; optimization (49-XX)
96 Mechanics of deformable solids (74-XX)
83 Fluid mechanics (76-XX)
76 Difference and functional equations (39-XX)
76 Integral transforms, operational calculus (44-XX)
68 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
61 Information and communication theory, circuits (94-XX)
45 Statistical mechanics, structure of matter (82-XX)
38 Mechanics of particles and systems (70-XX)
37 Operations research, mathematical programming (90-XX)
31 Harmonic analysis on Euclidean spaces (42-XX)
28 Computer science (68-XX)
24 Functional analysis (46-XX)
22 Optics, electromagnetic theory (78-XX)
19 Measure and integration (28-XX)
17 Functions of a complex variable (30-XX)
15 Classical thermodynamics, heat transfer (80-XX)
14 Quantum theory (81-XX)
13 Global analysis, analysis on manifolds (58-XX)
13 Geophysics (86-XX)
7 Combinatorics (05-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 General and overarching topics; collections (00-XX)
6 Abstract harmonic analysis (43-XX)
6 General topology (54-XX)
6 Statistics (62-XX)
4 Number theory (11-XX)
4 Sequences, series, summability (40-XX)
4 Differential geometry (53-XX)
3 History and biography (01-XX)
2 Topological groups, Lie groups (22-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Relativity and gravitational theory (83-XX)
1 Mathematical logic and foundations (03-XX)
1 Nonassociative rings and algebras (17-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

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