Edit Profile (opens in new tab) Diethelm, Kai Compute Distance To: Compute Author ID: 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: 68 Publications since 1994, including 5 Books Reviewing Activity: 403 Reviews Co-Authors: 23 Co-Authors with 30 Joint Publications 1,382 Co-Co-Authors all top 5 Co-Authors 38 single-authored 11 Ford, Neville J. 5 Damelin, Steven Benjamin 5 Freed, Alan David 3 Tuan, Hoang The 2 Băleanu, Dumitru I. 2 Scalas, Enrico 2 Siegmund, Stefan 2 Trujillo, Juan J. 2 Weilbeer, Marc 1 Danca, Marius-Florin 1 Ford, Judith M. 1 Garrappa, Roberto 1 Giusti, Andrea 1 Kitzing, Konrad 1 Köhler, Peter 1 Luchko, Yuri 1 Luchko, Yurii F. 1 Picard, Rainer H. 1 Stynes, Martin 1 Thai, Ha Duc 1 Trostorff, Sascha 1 Walz, Guido 1 Waurick, Marcus all top 5 Serials 14 Fractional Calculus & Applied Analysis 8 Journal of Computational and Applied Mathematics 3 Numerical Functional Analysis and Optimization 3 Journal of Integral Equations and Applications 3 Numerical Algorithms 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Computing 2 Numerische Mathematik 2 Series on Complexity, Nonlinearity, and Chaos 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 BIT 1 SIAM Journal on Numerical Analysis 1 Studia Scientiarum Mathematicarum Hungarica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Approximation Theory and its Applications 1 Journal of Dynamics and Differential Equations 1 ETNA. Electronic Transactions on Numerical Analysis 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Journal of Computational Analysis and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 The ANZIAM Journal 1 Lecture Notes in Mathematics 1 Mathematik im Fokus all top 5 Fields 32 Numerical analysis (65-XX) 31 Approximations and expansions (41-XX) 30 Real functions (26-XX) 30 Ordinary differential equations (34-XX) 11 Integral equations (45-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 56 Publications have been cited 5,056 times in 3,589 Documents Cited by ▼ Year ▼ The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type. Zbl 1215.34001Diethelm, Kai 1,195 2010 A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 725 2002 Fractional calculus. Models and numerical methods. Zbl 1248.26011Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 688 2012 Analysis of fractional differential equations. Zbl 1014.34003Diethelm, Kai; Ford, Neville J. 583 2002 Detailed error analysis for a fractional Adams method. Zbl 1055.65098Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 354 2004 Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. 224 2005 An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071Diethelm, Kai 220 1997 Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067Diethelm, K.; Ford, N. J. 117 2002 Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070Diethelm, Kai; Ford, Neville J. 115 2004 Numerical analysis for distributed-order differential equations. Zbl 1159.65103Diethelm, Kai; Ford, Neville J. 94 2009 Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070Diethelm, Kai; Walz, Guido 92 1997 Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc 66 2006 Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 59 2017 Numerical solutions of linear multi-term initial value problems of fractional order. Zbl 1083.65064Diethelm, Kai; Luchko, Yuri 53 2004 Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods. Zbl 1035.65066Diethelm, K. 53 2003 An efficient parallel algorithm for the numerical solution of fractional differential equations. Zbl 1273.65101Diethelm, Kai 36 2011 An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017Diethelm, Kai 35 2008 Generalized compound quadrature formulae for finite-part integrals. Zbl 0871.41021Diethelm, Kai 28 1997 Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003Diethelm, Kai; Ford, Neville J. 25 2012 The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus. Zbl 1284.34010Diethelm, Kai 22 2012 Numerical solution methods for distributed order differential equations. Zbl 1032.65070Diethelm, Kai; Ford, Neville J. 22 2001 Why fractional derivatives with nonsingular kernels should not be used. Zbl 1474.26020Diethelm, Kai; Garrappa, Roberto; Giusti, Andrea; Stynes, Martin 20 2020 Asymptotic behavior of solutions of linear multi-order fractional differential systems. Zbl 1386.34012Diethelm, Kai; Siegmund, Stefan; Tuan, H. T. 17 2017 Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates. Zbl 0847.41019Diethelm, Kai 16 1995 Smoothness properties of solutions of Caputo-type fractional differential equations. Zbl 1136.26302Diethelm, Kai 14 2007 Modified compound quadrature rules for strongly singular integrals. Zbl 0809.41026Diethelm, K. 13 1994 On the separation of solutions of fractional differential equations. Zbl 1170.34022Diethelm, Kai 13 2008 Approximation methods and stability of singular integral equations for Freud exponential weights on the line. Zbl 1085.41020Damelin, S. B.; Diethelm, K. 12 2004 An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022Diethelm, K.; Freed, A. D. 12 2006 Monotonicity of functions and sign changes of their Caputo derivatives. Zbl 1337.26009Diethelm, Kai 12 2016 Fractional-order attractors synthesis via parameter switchings. Zbl 1222.37107Danca, Marius F.; Diethelm, Kai 11 2010 Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303Freed, Alan D.; Diethelm, Kai 10 2007 A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009Diethelm, Kai; Ford, Neville J. 8 2018 Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals. Zbl 0821.41027Diethelm, Kai 8 1994 Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals. Zbl 0857.41027Diethelm, Kai 7 1996 Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Zbl 0940.65023Damelin, S. B.; Diethelm, Kai 7 1999 Boundedness and uniform numerical approximation of the weighted Hilbert transform on the real line. Zbl 0983.41015Damelin, S. B.; Diethelm, Kai 7 2001 Predictor-corrector strategies for single- and multi-term fractional differential equations. Zbl 1028.65081Diethelm, Kai 7 2002 Increasing the efficiency of shooting methods for terminal value problems of fractional order. Zbl 1349.65211Diethelm, Kai 7 2015 A method for the practical evaluation of the Hilbert transform on the real line. Zbl 0944.65139Diethelm, Kai 6 1999 Asymptotically sharp error bounds for a quadrature rule for Cauchy principal value integrals based on piecewise linear interpolation. Zbl 0851.41025Diethelm, Kai 5 1995 An extension of the well-posedness concept for fractional differential equations of Caputo’s type. Zbl 1307.34008Diethelm, Kai 5 2014 Error bounds for spline-based quadrature methods for strongly singular integrals. Zbl 0908.41022Diethelm, Kai 4 1998 New error bounds for modified quadrature formulas for Cauchy principal value integrals. Zbl 0880.41024Diethelm, Kai 4 1997 Non-optimality of certain quadrature rules for Cauchy principal value integrals. Zbl 0802.65017Diethelm, K. 4 1994 Error estimates for a quadrature rule for Cauchy principal value integrals. Zbl 0815.41024Diethelm, Kai 4 1994 Erratum to: ‘The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus”. Zbl 1430.34003Diethelm, Kai 4 2017 Error bounds for the numerical integration of functions with limited smoothness. Zbl 1305.41030Diethelm, Kai 2 2014 A numerical approach for Joulin’s model of a point source initiated flame. Zbl 1094.80006Diethelm, Kai; Weilbeer, Marc 2 2004 Two general methods for the numerical approximation of multidimensional Cauchy principal value integrals. Zbl 0976.65025Diethelm, Kai 2 2000 Weighted polynomial approximation and Hilbert transforms: their connections to the numerical solution of singular integral equations. Zbl 1072.41002Damelin, S. B.; Diethelm, K. 2 2004 Peano kernels of non-integer order. Zbl 0880.41022Diethelm, K. 1 1997 Existence and construction of definite estimation functionals. Zbl 0959.41020Diethelm, K. 1 1999 Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals. Zbl 0949.41019Diethelm, Kai; Köhler, Peter 1 2000 The order of convergence of modified interpolatory quadratures for singular integrals of Cauchy type. Zbl 0850.65031Diethelm, Kai 1 1995 Monotonicity results for a compound quadrature method for finite-part integrals. Zbl 1063.41021Diethelm, Kai 1 2004 Why fractional derivatives with nonsingular kernels should not be used. Zbl 1474.26020Diethelm, Kai; Garrappa, Roberto; Giusti, Andrea; Stynes, Martin 20 2020 A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009Diethelm, Kai; Ford, Neville J. 8 2018 Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 59 2017 Asymptotic behavior of solutions of linear multi-order fractional differential systems. Zbl 1386.34012Diethelm, Kai; Siegmund, Stefan; Tuan, H. T. 17 2017 Erratum to: ‘The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus”. Zbl 1430.34003Diethelm, Kai 4 2017 Monotonicity of functions and sign changes of their Caputo derivatives. Zbl 1337.26009Diethelm, Kai 12 2016 Increasing the efficiency of shooting methods for terminal value problems of fractional order. Zbl 1349.65211Diethelm, Kai 7 2015 An extension of the well-posedness concept for fractional differential equations of Caputo’s type. Zbl 1307.34008Diethelm, Kai 5 2014 Error bounds for the numerical integration of functions with limited smoothness. Zbl 1305.41030Diethelm, Kai 2 2014 Fractional calculus. Models and numerical methods. Zbl 1248.26011Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 688 2012 Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003Diethelm, Kai; Ford, Neville J. 25 2012 The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus. Zbl 1284.34010Diethelm, Kai 22 2012 An efficient parallel algorithm for the numerical solution of fractional differential equations. Zbl 1273.65101Diethelm, Kai 36 2011 The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type. Zbl 1215.34001Diethelm, Kai 1,195 2010 Fractional-order attractors synthesis via parameter switchings. Zbl 1222.37107Danca, Marius F.; Diethelm, Kai 11 2010 Numerical analysis for distributed-order differential equations. Zbl 1159.65103Diethelm, Kai; Ford, Neville J. 94 2009 An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017Diethelm, Kai 35 2008 On the separation of solutions of fractional differential equations. Zbl 1170.34022Diethelm, Kai 13 2008 Smoothness properties of solutions of Caputo-type fractional differential equations. Zbl 1136.26302Diethelm, Kai 14 2007 Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303Freed, Alan D.; Diethelm, Kai 10 2007 Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc 66 2006 An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022Diethelm, K.; Freed, A. D. 12 2006 Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. 224 2005 Detailed error analysis for a fractional Adams method. Zbl 1055.65098Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 354 2004 Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070Diethelm, Kai; Ford, Neville J. 115 2004 Numerical solutions of linear multi-term initial value problems of fractional order. Zbl 1083.65064Diethelm, Kai; Luchko, Yuri 53 2004 Approximation methods and stability of singular integral equations for Freud exponential weights on the line. Zbl 1085.41020Damelin, S. B.; Diethelm, K. 12 2004 A numerical approach for Joulin’s model of a point source initiated flame. Zbl 1094.80006Diethelm, Kai; Weilbeer, Marc 2 2004 Weighted polynomial approximation and Hilbert transforms: their connections to the numerical solution of singular integral equations. Zbl 1072.41002Damelin, S. B.; Diethelm, K. 2 2004 Monotonicity results for a compound quadrature method for finite-part integrals. Zbl 1063.41021Diethelm, Kai 1 2004 Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods. Zbl 1035.65066Diethelm, K. 53 2003 A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 725 2002 Analysis of fractional differential equations. Zbl 1014.34003Diethelm, Kai; Ford, Neville J. 583 2002 Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067Diethelm, K.; Ford, N. J. 117 2002 Predictor-corrector strategies for single- and multi-term fractional differential equations. Zbl 1028.65081Diethelm, Kai 7 2002 Numerical solution methods for distributed order differential equations. Zbl 1032.65070Diethelm, Kai; Ford, Neville J. 22 2001 Boundedness and uniform numerical approximation of the weighted Hilbert transform on the real line. Zbl 0983.41015Damelin, S. B.; Diethelm, Kai 7 2001 Two general methods for the numerical approximation of multidimensional Cauchy principal value integrals. Zbl 0976.65025Diethelm, Kai 2 2000 Asymptotic behaviour of fixed-order error constants of modified quadrature formulae for Cauchy principal value integrals. Zbl 0949.41019Diethelm, Kai; Köhler, Peter 1 2000 Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Zbl 0940.65023Damelin, S. B.; Diethelm, Kai 7 1999 A method for the practical evaluation of the Hilbert transform on the real line. Zbl 0944.65139Diethelm, Kai 6 1999 Existence and construction of definite estimation functionals. Zbl 0959.41020Diethelm, K. 1 1999 Error bounds for spline-based quadrature methods for strongly singular integrals. Zbl 0908.41022Diethelm, Kai 4 1998 An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071Diethelm, Kai 220 1997 Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070Diethelm, Kai; Walz, Guido 92 1997 Generalized compound quadrature formulae for finite-part integrals. Zbl 0871.41021Diethelm, Kai 28 1997 New error bounds for modified quadrature formulas for Cauchy principal value integrals. Zbl 0880.41024Diethelm, Kai 4 1997 Peano kernels of non-integer order. Zbl 0880.41022Diethelm, K. 1 1997 Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals. Zbl 0857.41027Diethelm, Kai 7 1996 Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates. Zbl 0847.41019Diethelm, Kai 16 1995 Asymptotically sharp error bounds for a quadrature rule for Cauchy principal value integrals based on piecewise linear interpolation. Zbl 0851.41025Diethelm, Kai 5 1995 The order of convergence of modified interpolatory quadratures for singular integrals of Cauchy type. Zbl 0850.65031Diethelm, Kai 1 1995 Modified compound quadrature rules for strongly singular integrals. Zbl 0809.41026Diethelm, K. 13 1994 Uniform convergence of optimal order quadrature rules for Cauchy principal value integrals. Zbl 0821.41027Diethelm, Kai 8 1994 Non-optimality of certain quadrature rules for Cauchy principal value integrals. Zbl 0802.65017Diethelm, K. 4 1994 Error estimates for a quadrature rule for Cauchy principal value integrals. Zbl 0815.41024Diethelm, Kai 4 1994 all cited Publications top 5 cited Publications all top 5 Cited by 4,311 Authors 173 Băleanu, Dumitru I. 67 Ntouyas, Sotiris K. 57 Ahmad, Bashir 46 Benchohra, Mouffak 38 Gómez-Aguilar, José Francisco 38 Machado, José António Tenreiro 38 Wang, Jinrong 37 Agarwal, Ravi P. 36 Liu, Fawang 33 Al-saedi, Ahmed Eid Salem 33 Tariboon, Jessada 32 Li, Changpin 32 Nieto Roig, Juan Jose 30 Diethelm, Kai 29 Dehghan Takht Fooladi, Mehdi 28 Jafari, Hossein 28 Momani, Shaher M. 27 Ford, Neville J. 26 Abbas, Said 26 Wang, Hong 25 Daftardar-Gejji, Varsha 25 Garrappa, Roberto 24 Abdeljawad, Thabet 24 Zheng, Xiangcheng 23 Danca, Marius-Florin 23 Turner, Ian William 22 Atangana, Abdon 22 O’Regan, Donal 22 Zeng, Fanhai 21 Stynes, Martin 20 Torres, Delfim Fernando Marado 20 Wang, Guotao 20 Zhou, Yong 19 Bhrawy, Ali Hassan 18 Khader, Mohamed M. 18 Salahshour, Soheil 18 Tarasov, Vasily E. 17 Bhalekar, Sachin 17 Deng, Weihua 17 Trujillo, Juan J. 17 Yang, Xiao-Jun 16 Abbaszadeh, Mostafa 16 Anastassiou, George Angelos 16 Cao, Jinde 16 Chen, Yangquan 16 Kumar, Sunil 15 Fečkan, Michal 15 Karniadakis, George Em 15 Khristova, Snezhana G. 15 Kostić, Marko 15 Li, Hong 15 Tuan, Hoang The 15 Wu, Guocheng 15 Yan, Yubin 14 Ahmadian, Ali 14 Chu, Yuming 14 Jiang, Xiaoyun 14 Liu, Yang 14 Owolabi, Kolade Matthew 14 Zhang, Lihong 13 Fernandez, Arran 13 Kolokoltsov, Vassili N. 13 Srivastava, Hari Mohan 13 Sweilam, Nasser Hassan 12 Abdo, Mohammed Salem 12 Agarwal, Praveen 12 Jia, Mei 12 Odibat, Zaid M. 12 Rezapour, Shahram 12 Sun, Hongguang 11 El-Sayed, Ahmed Mohamed Ahmed 11 Escobar-Jiménez, Ricardo Fabricio 11 Gomoyunov, Mikhail Igorevich 11 Jarad, Fahd 11 Javidi, Mohammad 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 Tavazoei, Mohammad Saleh 11 Yang, Xiaozhong 11 Yu, Yongguang 11 Zaky, Mahmoud A. 10 Anh, Vo V. 10 Doungmo Goufo, Emile Franc 10 El-Saka, Hala A. A. 10 Goodrich, Christopher S. 10 Henderson, Johnny Lee 10 Ibrahim, Rabha Waell 10 Inc, Mustafa 10 Liu, Xiping 10 Mohebbi, Akbar 10 Mokhtary, Payam 10 Sun, Zhizhong 10 Ur Rehman, Mujeeb 10 Xu, Chuanju ...and 4,211 more Authors all top 5 Cited in 397 Serials 236 Advances in Difference Equations 169 Fractional Calculus & Applied Analysis 164 Chaos, Solitons and Fractals 132 Applied Mathematics and Computation 130 Abstract and Applied Analysis 122 Journal of Computational and Applied Mathematics 122 Nonlinear Dynamics 107 Computers & Mathematics with Applications 88 Communications in Nonlinear Science and Numerical Simulation 66 Computational and Applied Mathematics 59 Mathematical Problems in Engineering 58 Applied Numerical Mathematics 53 Journal of Applied Mathematics and Computing 50 Journal of Computational Physics 47 Applied Mathematical Modelling 47 AIMS Mathematics 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 37 Boundary Value Problems 36 Journal of Scientific Computing 32 Mathematics and Computers in Simulation 31 Physica A 30 Advances in Mathematical Physics 28 Applied Mathematics Letters 28 Chaos 27 Mathematical Methods in the Applied Sciences 27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Journal of Applied Mathematics 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 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 S\(\vec{\text{e}}\)MA Journal 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 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 Reports on Mathematical Physics 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 ...and 297 more Serials all top 5 Cited in 52 Fields 1,909 Ordinary differential equations (34-XX) 1,216 Numerical analysis (65-XX) 1,146 Real functions (26-XX) 849 Partial differential equations (35-XX) 326 Integral equations (45-XX) 321 Operator theory (47-XX) 305 Biology and other natural sciences (92-XX) 299 Systems theory; control (93-XX) 219 Dynamical systems and ergodic theory (37-XX) 144 Special functions (33-XX) 103 Probability theory and stochastic processes (60-XX) 101 Approximations and expansions (41-XX) 99 Calculus of variations and optimal control; optimization (49-XX) 95 Mechanics of deformable solids (74-XX) 84 Fluid mechanics (76-XX) 79 Integral transforms, operational calculus (44-XX) 78 Difference and functional equations (39-XX) 68 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 61 Information and communication theory, circuits (94-XX) 46 Statistical mechanics, structure of matter (82-XX) 38 Mechanics of particles and systems (70-XX) 38 Operations research, mathematical programming (90-XX) 33 Harmonic analysis on Euclidean spaces (42-XX) 30 Computer science (68-XX) 25 Functional analysis (46-XX) 20 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) 15 Quantum theory (81-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Geophysics (86-XX) 7 Combinatorics (05-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Statistics (62-XX) 6 General and overarching topics; collections (00-XX) 6 Abstract harmonic analysis (43-XX) 6 General topology (54-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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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