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Author ID: diethelm.kai Recent zbMATH articles by "Diethelm, Kai"
Published as: Diethelm, Kai; Diethelm, K.
Homepage: https://fang.thws.de/en/faculty/staff/professors-and-lecturers/person/prof-dr-ka...
External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef
Documents Indexed: 80 Publications since 1994, including 5 Books and 11 Additional arXiv Preprints
Reviewing Activity: 415 Reviews
Co-Authors: 29 Co-Authors with 37 Joint Publications
1,735 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

63 Publications have been cited 6,936 times in 4,966 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
Fractional calculus. Models and numerical methods. Zbl 1248.26011
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
2012
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
903
2002
Analysis of fractional differential equations. Zbl 1014.34003
Diethelm, Kai; Ford, Neville J.
693
2002
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
418
2004
An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071
Diethelm, Kai
258
1997
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
258
2005
Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070
Diethelm, Kai; Ford, Neville J.
146
2004
Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067
Diethelm, K.; Ford, N. J.
133
2002
Numerical analysis for distributed-order differential equations. Zbl 1159.65103
Diethelm, Kai; Ford, Neville J.
127
2009
Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070
Diethelm, Kai; Walz, Guido
111
1997
Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
84
2017
Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550
Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc
77
2006
Numerical solutions of linear multi-term initial value problems of fractional order. Zbl 1083.65064
Diethelm, Kai; Luchko, Yuri
57
2004
Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods. Zbl 1035.65066
Diethelm, K.
56
2003
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017
Diethelm, Kai
43
2008
An efficient parallel algorithm for the numerical solution of fractional differential equations. Zbl 1273.65101
Diethelm, Kai
40
2011
Why fractional derivatives with nonsingular kernels should not be used. Zbl 1474.26020
Diethelm, Kai; Garrappa, Roberto; Giusti, Andrea; Stynes, Martin
40
2020
Generalized compound quadrature formulae for finite-part integrals. Zbl 0871.41021
Diethelm, Kai
35
1997
Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003
Diethelm, Kai; Ford, Neville J.
30
2012
Numerical solution methods for distributed order differential equations. Zbl 1032.65070
Diethelm, Kai; Ford, Neville J.
28
2001
The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus. Zbl 1284.34010
Diethelm, Kai
28
2012
Asymptotic behavior of solutions of linear multi-order fractional differential systems. Zbl 1386.34012
Diethelm, Kai; Siegmund, Stefan; Tuan, H. T.
23
2017
Monotonicity of functions and sign changes of their Caputo derivatives. Zbl 1337.26009
Diethelm, Kai
21
2016
On the separation of solutions of fractional differential equations. Zbl 1170.34022
Diethelm, Kai
18
2008
Smoothness properties of solutions of Caputo-type fractional differential equations. Zbl 1136.26302
Diethelm, Kai
18
2007
Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates. Zbl 0847.41019
Diethelm, Kai
17
1995
Modified compound quadrature rules for strongly singular integrals. Zbl 0809.41026
Diethelm, K.
14
1994
An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022
Diethelm, K.; Freed, A. D.
13
2006
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
Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303
Freed, Alan D.; Diethelm, Kai
12
2007
Fractional-order attractors synthesis via parameter switchings. Zbl 1222.37107
Danca, Marius F.; Diethelm, Kai
11
2010
A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009
Diethelm, Kai; Ford, Neville J.
11
2018
Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals. Zbl 0821.41027
Diethelm, Kai
10
1994
Increasing the efficiency of shooting methods for terminal value problems of fractional order. Zbl 1349.65211
Diethelm, Kai
10
2015
A method for the practical evaluation of the Hilbert transform on the real line. Zbl 0944.65139
Diethelm, Kai
9
1999
Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals. Zbl 0857.41027
Diethelm, Kai
9
1996
Boundedness and uniform numerical approximation of the weighted Hilbert transform on the real line. Zbl 0983.41015
Damelin, S. B.; Diethelm, Kai
8
2001
Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Zbl 0940.65023
Damelin, S. B.; Diethelm, Kai
7
1999
An extension of the well-posedness concept for fractional differential equations of Caputo’s type. Zbl 1307.34008
Diethelm, Kai
7
2014
Erratum to: ‘The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus”. Zbl 1430.34003
Diethelm, Kai
7
2017
Asymptotically sharp error bounds for a quadrature rule for Cauchy principal value integrals based on piecewise linear interpolation. Zbl 0851.41025
Diethelm, Kai
6
1995
Predictor-corrector strategies for single- and multi-term fractional differential equations. Zbl 1028.65081
Diethelm, Kai
6
2002
New error bounds for modified quadrature formulas for Cauchy principal value integrals. Zbl 0880.41024
Diethelm, Kai
5
1997
Non-optimality of certain quadrature rules for Cauchy principal value integrals. Zbl 0802.65017
Diethelm, K.
5
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
Upper and lower estimates for the separation of solutions to fractional differential equations. Zbl 1503.34012
Diethelm, Kai; Tuan, Hoang The
4
2022
Two general methods for the numerical approximation of multidimensional Cauchy principal value integrals. Zbl 0976.65025
Diethelm, Kai
3
2000
A numerical approach for Joulin’s model of a point source initiated flame. Zbl 1094.80006
Diethelm, Kai; Weilbeer, Marc
2
2004
Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals. Zbl 0949.41019
Diethelm, Kai; Köhler, Peter
2
2000
Peano kernels of non-integer order. Zbl 0880.41022
Diethelm, K.
2
1997
Monotonicity results for a compound quadrature method for finite-part integrals. Zbl 1063.41021
Diethelm, Kai
2
2004
The order of convergence of modified interpolatory quadratures for singular integrals of Cauchy type. Zbl 0850.65031
Diethelm, Kai
2
1995
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
Error bounds for the numerical integration of functions with limited smoothness. Zbl 1305.41030
Diethelm, Kai
2
2014
Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems. Zbl 1503.34011
Diethelm, Kai; Thai, Ha Duc; Tuan, Hoang The
2
2022
Estimation of quadrature errors in terms of Caputo-type fractional derivatives. Zbl 1036.41016
Diethelm, Kai
1
1999
Existence and construction of definite estimation functionals. Zbl 0959.41020
Diethelm, K.
1
1999
A definiteness criterion for linear functionals and its application to Cauchy principal value quadrature. Zbl 0853.41016
Diethelm, Kai
1
1996
Fractional error constants for quadrature formulas. Zbl 0922.41016
Diethelm, Kai
1
1998
A fractional version of the Peano-Sard theorem. Zbl 0892.41018
Diethelm, Kai
1
1997
A Hilbert space approach to fractional differential equations. Zbl 07491616
Diethelm, Kai; Kitzing, Konrad; Picard, Rainer; Siegmund, Stefan; Trostorff, Sascha; Waurick, Marcus
1
2022
Upper and lower estimates for the separation of solutions to fractional differential equations. Zbl 1503.34012
Diethelm, Kai; Tuan, Hoang The
4
2022
Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems. Zbl 1503.34011
Diethelm, Kai; Thai, Ha Duc; Tuan, Hoang The
2
2022
A Hilbert space approach to fractional differential equations. Zbl 07491616
Diethelm, Kai; Kitzing, Konrad; Picard, Rainer; Siegmund, Stefan; Trostorff, Sascha; Waurick, Marcus
1
2022
Why fractional derivatives with nonsingular kernels should not be used. Zbl 1474.26020
Diethelm, Kai; Garrappa, Roberto; Giusti, Andrea; Stynes, Martin
40
2020
A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009
Diethelm, Kai; Ford, Neville J.
11
2018
Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006
Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J.
84
2017
Asymptotic behavior of solutions of linear multi-order fractional differential systems. Zbl 1386.34012
Diethelm, Kai; Siegmund, Stefan; Tuan, H. T.
23
2017
Erratum to: ‘The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus”. Zbl 1430.34003
Diethelm, Kai
7
2017
Monotonicity of functions and sign changes of their Caputo derivatives. Zbl 1337.26009
Diethelm, Kai
21
2016
Increasing the efficiency of shooting methods for terminal value problems of fractional order. Zbl 1349.65211
Diethelm, Kai
10
2015
An extension of the well-posedness concept for fractional differential equations of Caputo’s type. Zbl 1307.34008
Diethelm, Kai
7
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.
2012
Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003
Diethelm, Kai; Ford, Neville J.
30
2012
The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus. Zbl 1284.34010
Diethelm, Kai
28
2012
An efficient parallel algorithm for the numerical solution of fractional differential equations. Zbl 1273.65101
Diethelm, Kai
40
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.
127
2009
An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017
Diethelm, Kai
43
2008
On the separation of solutions of fractional differential equations. Zbl 1170.34022
Diethelm, Kai
18
2008
Smoothness properties of solutions of Caputo-type fractional differential equations. Zbl 1136.26302
Diethelm, Kai
18
2007
Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303
Freed, Alan D.; Diethelm, Kai
12
2007
Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550
Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc
77
2006
An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022
Diethelm, K.; Freed, A. D.
13
2006
Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352
Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu.
258
2005
Detailed error analysis for a fractional Adams method. Zbl 1055.65098
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
418
2004
Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070
Diethelm, Kai; Ford, Neville J.
146
2004
Numerical solutions of linear multi-term initial value problems of fractional order. Zbl 1083.65064
Diethelm, Kai; Luchko, Yuri
57
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
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
2
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
Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods. Zbl 1035.65066
Diethelm, K.
56
2003
A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049
Diethelm, Kai; Ford, Neville J.; Freed, Alan D.
903
2002
Analysis of fractional differential equations. Zbl 1014.34003
Diethelm, Kai; Ford, Neville J.
693
2002
Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067
Diethelm, K.; Ford, N. J.
133
2002
Predictor-corrector strategies for single- and multi-term fractional differential equations. Zbl 1028.65081
Diethelm, Kai
6
2002
Numerical solution methods for distributed order differential equations. Zbl 1032.65070
Diethelm, Kai; Ford, Neville J.
28
2001
Boundedness and uniform numerical approximation of the weighted Hilbert transform on the real line. Zbl 0983.41015
Damelin, S. B.; Diethelm, Kai
8
2001
Two general methods for the numerical approximation of multidimensional Cauchy principal value integrals. Zbl 0976.65025
Diethelm, Kai
3
2000
Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals. Zbl 0949.41019
Diethelm, Kai; Köhler, Peter
2
2000
A method for the practical evaluation of the Hilbert transform on the real line. Zbl 0944.65139
Diethelm, Kai
9
1999
Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Zbl 0940.65023
Damelin, S. B.; Diethelm, Kai
7
1999
Estimation of quadrature errors in terms of Caputo-type fractional derivatives. Zbl 1036.41016
Diethelm, Kai
1
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
Fractional error constants for quadrature formulas. Zbl 0922.41016
Diethelm, Kai
1
1998
An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071
Diethelm, Kai
258
1997
Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070
Diethelm, Kai; Walz, Guido
111
1997
Generalized compound quadrature formulae for finite-part integrals. Zbl 0871.41021
Diethelm, Kai
35
1997
New error bounds for modified quadrature formulas for Cauchy principal value integrals. Zbl 0880.41024
Diethelm, Kai
5
1997
Peano kernels of non-integer order. Zbl 0880.41022
Diethelm, K.
2
1997
A fractional version of the Peano-Sard theorem. Zbl 0892.41018
Diethelm, Kai
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
9
1996
A definiteness criterion for linear functionals and its application to Cauchy principal value quadrature. Zbl 0853.41016
Diethelm, Kai
1
1996
Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates. Zbl 0847.41019
Diethelm, Kai
17
1995
Asymptotically sharp error bounds for a quadrature rule for Cauchy principal value integrals based on piecewise linear interpolation. Zbl 0851.41025
Diethelm, Kai
6
1995
The order of convergence of modified interpolatory quadratures for singular integrals of Cauchy type. Zbl 0850.65031
Diethelm, Kai
2
1995
Modified compound quadrature rules for strongly singular integrals. Zbl 0809.41026
Diethelm, K.
14
1994
Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals. Zbl 0821.41027
Diethelm, Kai
10
1994
Non-optimality of certain quadrature rules for Cauchy principal value integrals. Zbl 0802.65017
Diethelm, K.
5
1994
Error estimates for a quadrature rule for Cauchy principal value integrals. Zbl 0815.41024
Diethelm, Kai
4
1994
all top 5

Cited by 5,630 Authors

211 Băleanu, Dumitru I.
81 Ntouyas, Sotiris K.
73 Ahmad, Bashir
59 Wang, Jinrong
54 Zhou, Yong
53 Machado, José António Tenreiro
49 Gómez-Aguilar, José Francisco
48 Agarwal, Ravi P.
48 Benchohra, Mouffak
47 Al-saedi, Ahmed Eid Salem
42 Liu, Fawang
41 Abdeljawad, Thabet
41 Nieto Roig, Juan Jose
39 Li, Changpin
39 Tariboon, Jessada
37 Wang, Hong
35 Momani, Shaher M.
35 Stynes, Martin Joseph
35 Zheng, Xiangcheng
34 Garrappa, Roberto
33 Dehghan Takht Fooladi, Mehdi
32 Diethelm, Kai
32 Jafari, Hossein
32 O’Regan, Donal
29 Ford, Neville J.
27 Abbas, Said
27 Fernandez, Arran
26 Atangana, Abdon
26 Daftardar-Gejji, Varsha
26 Zeng, Fanhai
25 Cao, Jinde
25 Danca, Marius-Florin
25 Tarasov, Vasily E.
25 Turner, Ian William
23 Fečkan, Michal
23 Kumar, Sunil
23 Torres, Delfim Fernando Marado
22 Anastassiou, George Angelos
22 Bhrawy, Ali Hassan
22 Wang, Guotao
22 Wu, Guocheng
21 Deng, Weihua
21 Khristova, Snezhana G.
21 Rezapour, Shahram
21 Salahshour, Soheil
21 Shah, Kamal
21 Yan, Yubin
20 Chen, Yangquan
20 Trujillo, Juan J.
20 Tuan, Hoang The
19 Abdo, Mohammed Salem
19 Gomoyunov, Mikhail Igorevich
19 Khader, Mohamed M.
19 Yang, Xiao-Jun
18 Jiang, Xiaoyun
18 Karniadakis, George Em
18 Li, Hong
18 Liu, Yang
18 Nguyen Huy Tuan
18 Sweilam, Nasser Hassan
18 Ur Rehman, Mujeeb
17 Abbaszadeh, Mostafa
17 Jia, Mei
17 Kostić, Marko
17 Odibat, Zaid M.
17 Rajagopal, Karthikeyan
17 Sun, Hongguang
16 Agarwal, Praveen
16 Ahmadian, Ali
16 Chu, Yuming
16 Jarad, Fahd
16 Srivastava, Hari Mohan
15 Inc, Mustafa
15 Liu, Xiping
15 Lopes, António M.
15 Owolabi, Kolade Matthew
15 Pedas, Arvet
15 Sayevand, Khosro
15 Sooppy Nisar, Kottakkaran
15 Vijayakumar, Velusamy
15 Zada, Akbar
14 Almeida, Ricardo
14 Bhalekar, Sachin
14 Debbouche, Amar
14 Huang, Jianfei
14 Jiang, Wei
14 Kolokoltsov, Vassili N.
14 Mokhtary, Payam
14 Stamova, Ivanka Milkova
14 Xu, Chuanju
14 Yang, Xiaozhong
14 Zaky, Mahmoud A.
14 Zhang, Lihong
13 El-Sayed, Ahmed Mohamed Ahmed
13 Escobar-Jiménez, Ricardo Fabricio
13 Etemad, Sina
13 Javidi, Mohammad
13 Qureshi, Sania
13 Shahmorad, Sedaghat
13 Sun, Zhizhong
...and 5,530 more Authors
all top 5

Cited in 456 Serials

266 Advances in Difference Equations
226 Fractional Calculus & Applied Analysis
199 Chaos, Solitons and Fractals
192 Mathematical Methods in the Applied Sciences
175 Communications in Nonlinear Science and Numerical Simulation
174 Applied Mathematics and Computation
162 Journal of Computational and Applied Mathematics
152 Computers & Mathematics with Applications
138 Abstract and Applied Analysis
134 Nonlinear Dynamics
87 Computational and Applied Mathematics
81 Applied Numerical Mathematics
72 Mathematical Problems in Engineering
71 Applied Mathematical Modelling
65 Mathematics and Computers in Simulation
63 Journal of Applied Mathematics and Computing
60 Journal of Computational Physics
54 Numerical Algorithms
52 AIMS Mathematics
50 Fractals
49 Applied Mathematics Letters
48 Journal of Scientific Computing
48 International Journal of Computer Mathematics
47 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
44 Physica A
43 Numerical Methods for Partial Differential Equations
42 Discrete Dynamics in Nature and Society
41 International Journal of Applied and Computational Mathematics
40 Boundary Value Problems
34 Advances in Mathematical Physics
34 Journal of Function Spaces
30 Chaos
30 International Journal of Nonlinear Sciences and Numerical Simulation
30 Fractional Differential Calculus
29 Journal of Mathematical Analysis and Applications
29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
29 Mediterranean Journal of Mathematics
28 Discrete and Continuous Dynamical Systems. Series S
23 Complexity
22 Physics Letters. A
22 Journal of Integral Equations and Applications
22 International Journal of Biomathematics
21 Journal of Optimization Theory and Applications
20 Journal of the Franklin Institute
20 Filomat
20 Differential Equations and Dynamical Systems
19 Advances in Computational Mathematics
19 Chinese Journal of Physics (Taipei)
19 International Journal of Differential Equations
19 Open Mathematics
17 Turkish Journal of Mathematics
17 Journal of Inequalities and Applications
16 Computer Methods in Applied Mechanics and Engineering
16 SIAM Journal on Scientific Computing
16 Nonlinear Analysis. Modelling and Control
16 Journal of Applied Mathematics
16 Waves in Random and Complex Media
16 Journal of Nonlinear Science and Applications
15 BIT
15 SIAM Journal on Numerical Analysis
15 Discrete and Continuous Dynamical Systems. Series B
15 Asian Journal of Control
15 Mathematics
15 Computational Methods for Differential Equations
14 Journal of Vibration and Control
14 Qualitative Theory of Dynamical Systems
14 Journal of Mathematics
13 Numerical Functional Analysis and Optimization
13 Mathematical Modelling of Natural Phenomena
13 S\(\vec{\text{e}}\)MA Journal
13 Journal of Applied Analysis and Computation
13 Mathematical Sciences
12 Acta Mechanica
12 Circuits, Systems, and Signal Processing
11 Applicable Analysis
11 Neural Networks
11 Advances in Applied Mathematics and Mechanics
11 Journal of Mathematical Extension
10 Journal of the Egyptian Mathematical Society
10 Engineering Analysis with Boundary Elements
10 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
10 Cubo
10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
10 Axioms
10 Journal of Mathematical Modeling
10 International Journal of Systems Science. Principles and Applications of Systems and Integration
10 Communications on Applied Mathematics and Computation
9 Calcolo
9 Fuzzy Sets and Systems
9 Journal of Differential Equations
9 Electronic Journal of Differential Equations (EJDE)
9 East Asian Journal on Applied Mathematics
8 Computer Physics Communications
8 Journal of Mathematical Physics
8 Rendiconti del Circolo Matemàtico di Palermo. Serie II
8 Signal Processing
8 Soft Computing
8 Mathematical Modelling and Analysis
8 Computational Methods in Applied Mathematics
...and 356 more Serials
all top 5

Cited in 55 Fields

2,634 Ordinary differential equations (34-XX)
1,686 Numerical analysis (65-XX)
1,585 Real functions (26-XX)
1,279 Partial differential equations (35-XX)
500 Operator theory (47-XX)
446 Biology and other natural sciences (92-XX)
443 Integral equations (45-XX)
423 Systems theory; control (93-XX)
275 Dynamical systems and ergodic theory (37-XX)
220 Special functions (33-XX)
164 Probability theory and stochastic processes (60-XX)
140 Calculus of variations and optimal control; optimization (49-XX)
130 Approximations and expansions (41-XX)
129 Mechanics of deformable solids (74-XX)
125 Fluid mechanics (76-XX)
123 Integral transforms, operational calculus (44-XX)
104 Difference and functional equations (39-XX)
102 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
82 Information and communication theory, circuits (94-XX)
63 Statistical mechanics, structure of matter (82-XX)
47 Computer science (68-XX)
46 Harmonic analysis on Euclidean spaces (42-XX)
46 Mechanics of particles and systems (70-XX)
45 Operations research, mathematical programming (90-XX)
32 Functional analysis (46-XX)
27 Classical thermodynamics, heat transfer (80-XX)
24 Measure and integration (28-XX)
24 Global analysis, analysis on manifolds (58-XX)
24 Optics, electromagnetic theory (78-XX)
21 Functions of a complex variable (30-XX)
21 Quantum theory (81-XX)
19 Geophysics (86-XX)
10 Combinatorics (05-XX)
9 General and overarching topics; collections (00-XX)
9 Statistics (62-XX)
8 Number theory (11-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Sequences, series, summability (40-XX)
8 Abstract harmonic analysis (43-XX)
7 Differential geometry (53-XX)
5 Topological groups, Lie groups (22-XX)
5 General topology (54-XX)
4 Potential theory (31-XX)
4 Several complex variables and analytic spaces (32-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Relativity and gravitational theory (83-XX)
2 Geometry (51-XX)
2 Convex and discrete geometry (52-XX)
2 Algebraic topology (55-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

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