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: 65 Publications since 1994, including 5 Books Reviewing Activity: 399 Reviews Co-Authors: 22 Co-Authors with 27 Joint Publications 1,276 Co-Co-Authors all top 5 Co-Authors 38 single-authored 11 Ford, Neville J. 5 Freed, Alan David 4 Damelin, Steven Benjamin 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 Trostorff, Sascha 1 Tuan, Hoang The 1 Walz, Guido 1 Waurick, Marcus all top 5 Serials 12 Fractional Calculus & Applied Analysis 8 Journal of Computational and Applied Mathematics 3 Journal of Integral Equations and Applications 3 Numerical Algorithms 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Computing 2 Numerical Functional Analysis and Optimization 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 31 Numerical analysis (65-XX) 30 Approximations and expansions (41-XX) 28 Real functions (26-XX) 27 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 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-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 55 Publications have been cited 4,557 times in 3,222 Documents Cited by ▼ Year ▼ The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type. Zbl 1215.34001Diethelm, Kai 1,024 2010 A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 658 2002 Fractional calculus. Models and numerical methods. Zbl 1248.26011Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 632 2012 Analysis of fractional differential equations. Zbl 1014.34003Diethelm, Kai; Ford, Neville J. 532 2002 Detailed error analysis for a fractional Adams method. Zbl 1055.65098Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 330 2004 Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. 212 2005 An algorithm for the numerical solution of differential equations of fractional order. Zbl 0890.65071Diethelm, Kai 203 1997 Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070Diethelm, Kai; Ford, Neville J. 112 2004 Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067Diethelm, K.; Ford, N. J. 105 2002 Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070Diethelm, Kai; Walz, Guido 87 1997 Numerical analysis for distributed-order differential equations. Zbl 1159.65103Diethelm, Kai; Ford, Neville J. 84 2009 Pitfalls in fast numerical solvers for fractional differential equations. Zbl 1078.65550Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc 64 2006 Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods. Zbl 1035.65066Diethelm, K. 50 2003 Numerical solutions of linear multi-term initial value problems of fractional order. Zbl 1083.65064Diethelm, Kai; Luchko, Yuri 50 2004 Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 44 2017 An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017Diethelm, Kai 34 2008 An efficient parallel algorithm for the numerical solution of fractional differential equations. Zbl 1273.65101Diethelm, Kai 33 2011 Generalized compound quadrature formulae for finite-part integrals. Zbl 0871.41021Diethelm, Kai 28 1997 Numerical solution methods for distributed order differential equations. Zbl 1032.65070Diethelm, Kai; Ford, Neville J. 22 2001 Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003Diethelm, Kai; Ford, Neville J. 21 2012 The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus. Zbl 1284.34010Diethelm, Kai 16 2012 Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates. Zbl 0847.41019Diethelm, Kai 14 1995 Modified compound quadrature rules for strongly singular integrals. Zbl 0809.41026Diethelm, K. 13 1994 Smoothness properties of solutions of Caputo-type fractional differential equations. Zbl 1136.26302Diethelm, Kai 13 2007 Asymptotic behavior of solutions of linear multi-order fractional differential systems. Zbl 1386.34012Diethelm, Kai; Siegmund, Stefan; Tuan, H. T. 12 2017 Fractional-order attractors synthesis via parameter switchings. Zbl 1222.37107Danca, Marius F.; Diethelm, Kai 11 2010 An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022Diethelm, K.; Freed, A. D. 11 2006 Approximation methods and stability of singular integral equations for Freud exponential weights on the line. Zbl 1085.41020Damelin, S. B.; Diethelm, K. 11 2004 On the separation of solutions of fractional differential equations. Zbl 1170.34022Diethelm, Kai 11 2008 Caputo derivatives in viscoelasticity: a non-linear finite-deformation theory for tissue. Zbl 1152.26303Freed, Alan D.; Diethelm, Kai 10 2007 Monotonicity of functions and sign changes of their Caputo derivatives. Zbl 1337.26009Diethelm, Kai 9 2016 Why fractional derivatives with nonsingular kernels should not be used. Zbl 1474.26020Diethelm, Kai; Garrappa, Roberto; Giusti, Andrea; Stynes, Martin 8 2020 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 Predictor-corrector strategies for single- and multi-term fractional differential equations. Zbl 1028.65081Diethelm, Kai 7 2002 A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009Diethelm, Kai; Ford, Neville J. 7 2018 Increasing the efficiency of shooting methods for terminal value problems of fractional order. Zbl 1349.65211Diethelm, Kai 6 2015 Interpolatory product quadratures for Cauchy principal value integrals with Freud weights. Zbl 0940.65023Damelin, S. B.; Diethelm, Kai 6 1999 Boundedness and uniform numerical approximation of the weighted Hilbert transform on the real line. Zbl 0983.41015Damelin, S. B.; Diethelm, Kai 6 2001 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 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 Error bounds for spline-based quadrature methods for strongly singular integrals. Zbl 0908.41022Diethelm, Kai 4 1998 Erratum to: ‘The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus”. Zbl 1430.34003Diethelm, Kai 3 2017 Two general methods for the numerical approximation of multidimensional Cauchy principal value integrals. Zbl 0976.65025Diethelm, Kai 2 2000 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 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 Weighted polynomial approximation and Hilbert transforms: their connections to the numerical solution of singular integral equations. Zbl 1072.41002Damelin, S. B.; Diethelm, K. 1 2004 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 8 2020 A note on the well-posedness of terminal value problems for fractional differential equations. Zbl 1406.34009Diethelm, Kai; Ford, Neville J. 7 2018 Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 44 2017 Asymptotic behavior of solutions of linear multi-order fractional differential systems. Zbl 1386.34012Diethelm, Kai; Siegmund, Stefan; Tuan, H. T. 12 2017 Erratum to: ‘The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus”. Zbl 1430.34003Diethelm, Kai 3 2017 Monotonicity of functions and sign changes of their Caputo derivatives. Zbl 1337.26009Diethelm, Kai 9 2016 Increasing the efficiency of shooting methods for terminal value problems of fractional order. Zbl 1349.65211Diethelm, Kai 6 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. 632 2012 Volterra integral equations and fractional calculus: do neighboring solutions intersect? Zbl 1238.45003Diethelm, Kai; Ford, Neville J. 21 2012 The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus. Zbl 1284.34010Diethelm, Kai 16 2012 An efficient parallel algorithm for the numerical solution of fractional differential equations. Zbl 1273.65101Diethelm, Kai 33 2011 The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type. Zbl 1215.34001Diethelm, Kai 1,024 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. 84 2009 An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives. Zbl 1144.65017Diethelm, Kai 34 2008 On the separation of solutions of fractional differential equations. Zbl 1170.34022Diethelm, Kai 11 2008 Smoothness properties of solutions of Caputo-type fractional differential equations. Zbl 1136.26302Diethelm, Kai 13 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 64 2006 An efficient algorithm for the evaluation of convolution integrals. Zbl 1093.65022Diethelm, K.; Freed, A. D. 11 2006 Algorithms for the fractional calculus: a selection of numerical methods. Zbl 1119.65352Diethelm, K.; Ford, N. J.; Freed, A. D.; Luchko, Yu. 212 2005 Detailed error analysis for a fractional Adams method. Zbl 1055.65098Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 330 2004 Multi-order fractional differential equations and their numerical solution. Zbl 1060.65070Diethelm, Kai; Ford, Neville J. 112 2004 Numerical solutions of linear multi-term initial value problems of fractional order. Zbl 1083.65064Diethelm, Kai; Luchko, Yuri 50 2004 Approximation methods and stability of singular integral equations for Freud exponential weights on the line. Zbl 1085.41020Damelin, S. B.; Diethelm, K. 11 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. 1 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. 50 2003 A predictor-corrector approach for the numerical solution of fractional differential equations. Zbl 1009.65049Diethelm, Kai; Ford, Neville J.; Freed, Alan D. 658 2002 Analysis of fractional differential equations. Zbl 1014.34003Diethelm, Kai; Ford, Neville J. 532 2002 Numerical solution of the Bagley-Torvik equation. Zbl 1035.65067Diethelm, K.; Ford, N. J. 105 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 6 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 6 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 203 1997 Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070Diethelm, Kai; Walz, Guido 87 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 14 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 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 3,842 Authors 161 Băleanu, Dumitru I. 60 Ntouyas, Sotiris K. 52 Ahmad, Bashir 45 Benchohra, Mouffak 38 Machado, José António Tenreiro 38 Wang, Jinrong 35 Gómez-Aguilar, José Francisco 34 Liu, Fawang 32 Agarwal, Ravi P. 32 Li, Changpin 31 Tariboon, Jessada 30 Nieto Roig, Juan Jose 29 Dehghan Takht Fooladi, Mehdi 28 Al-saedi, Ahmed Eid Salem 27 Diethelm, Kai 27 Ford, Neville J. 27 Jafari, Hossein 27 Momani, Shaher M. 26 Abbas, Said 25 Daftardar-Gejji, Varsha 23 Garrappa, Roberto 23 Wang, Hong 22 Atangana, Abdon 22 Danca, Marius-Florin 22 Turner, Ian William 20 O’Regan, Donal 20 Stynes, Martin 20 Wang, Guotao 20 Zeng, Fanhai 20 Zheng, Xiangcheng 20 Zhou, Yong 19 Bhrawy, Ali Hassan 18 Torres, Delfim Fernando Marado 17 Deng, Weihua 17 Khader, Mohamed M. 17 Salahshour, Soheil 17 Yang, Xiao-Jun 16 Abbaszadeh, Mostafa 16 Anastassiou, George Angelos 16 Bhalekar, Sachin 16 Chen, Yangquan 15 Abdeljawad, Thabet 15 Cao, Jinde 15 Fečkan, Michal 15 Tarasov, Vasily E. 15 Trujillo, Juan J. 14 Karniadakis, George Em 14 Kostić, Marko 14 Yan, Yubin 14 Zhang, Lihong 13 Ahmadian, Ali 13 Kumar, Sunil 13 Wu, Guocheng 12 Jiang, Xiaoyun 12 Li, Hong 12 Liu, Yang 12 Odibat, Zaid M. 12 Srivastava, Hari Mohan 12 Sweilam, Nasser Hassan 12 Tuan, Hoang The 11 Agarwal, Praveen 11 Chu, Yuming 11 El-Sayed, Ahmed Mohamed Ahmed 11 Jia, Mei 11 Lopes, António M. 11 Ouahab, Abdelghani 11 Owolabi, Kolade Matthew 11 Sayevand, Khosro 11 Shah, Kamal 11 Sun, Hongguang 11 Zaky, Mahmoud A. 10 Anh, Vo V. 10 Doungmo Goufo, Emile Franc 10 El-Saka, Hala A. A. 10 Escobar-Jiménez, Ricardo Fabricio 10 Fernandez, Arran 10 Gomoyunov, Mikhail Igorevich 10 Goodrich, Christopher S. 10 Henderson, Johnny Lee 10 Ibrahim, Rabha Waell 10 Jarad, Fahd 10 Javidi, Mohammad 10 Khristova, Snezhana G. 10 Kumar, Sachin 10 Mohebbi, Akbar 10 Pedas, Arvet 10 Rajagopal, Karthikeyan 10 Stamova, Ivanka Milkova 10 Tavazoei, Mohammad Saleh 10 Zhao, Jingjun 9 Almeida, Ricardo 9 Haeri, Mohammad 9 Han, Zhenlai 9 Inc, Mustafa 9 Jiang, Wei 9 Karthikeyan, Anitha 9 Kolokoltsov, Vassili N. 9 Liu, Xiping 9 Nguyen Huy Tuan 9 Rashid, Saima ...and 3,742 more Authors all top 5 Cited in 378 Serials 197 Advances in Difference Equations 145 Fractional Calculus & Applied Analysis 136 Chaos, Solitons and Fractals 129 Abstract and Applied Analysis 124 Applied Mathematics and Computation 122 Nonlinear Dynamics 117 Journal of Computational and Applied Mathematics 105 Computers & Mathematics with Applications 81 Communications in Nonlinear Science and Numerical Simulation 61 Computational and Applied Mathematics 59 Mathematical Problems in Engineering 57 Applied Numerical Mathematics 50 Journal of Computational Physics 46 Applied Mathematical Modelling 43 Journal of Applied Mathematics and Computing 40 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 38 Numerical Algorithms 36 Discrete Dynamics in Nature and Society 33 International Journal of Computer Mathematics 31 International Journal of Applied and Computational Mathematics 30 Journal of Scientific Computing 30 Boundary Value Problems 30 Advances in Mathematical Physics 29 AIMS Mathematics 28 Chaos 27 Mathematical Methods in the Applied Sciences 27 Mathematics and Computers in Simulation 27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Journal of Mathematical Analysis and Applications 26 Applied Mathematics Letters 24 Fractals 24 Mediterranean Journal of Mathematics 23 Fractional Differential Calculus 22 Journal of Function Spaces 21 Complexity 19 Journal of Optimization Theory and Applications 17 Discrete and Continuous Dynamical Systems. Series S 17 Open Mathematics 16 Journal of Integral Equations and Applications 16 SIAM Journal on Scientific Computing 16 International Journal of Nonlinear Sciences and Numerical Simulation 15 International Journal of Biomathematics 15 International Journal of Differential Equations 14 Advances in Computational Mathematics 14 Journal of Vibration and Control 14 Differential Equations and Dynamical Systems 14 Mathematics 13 Computer Methods in Applied Mechanics and Engineering 13 Mathematical Modelling of Natural Phenomena 13 Journal of Nonlinear Science and Applications 12 Journal of the Franklin Institute 12 SIAM Journal on Numerical Analysis 12 Nonlinear Analysis. Modelling and Control 12 Journal of Applied Mathematics 12 Journal of Applied Analysis and Computation 11 Physica A 11 Journal of Mathematics 10 Acta Mechanica 10 BIT 10 Numerical Functional Analysis and Optimization 10 Turkish Journal of Mathematics 10 Journal of Inequalities and Applications 10 Discrete and Continuous Dynamical Systems. Series B 10 Asian Journal of Control 10 Axioms 9 Applicable Analysis 9 Engineering Analysis with Boundary Elements 9 Cubo 9 Advances in Applied Mathematics and Mechanics 9 Computational Methods for Differential Equations 8 Signal Processing 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 Calcolo 7 Circuits, Systems, and Signal Processing 7 Filomat 7 Symmetry 6 Automatica 6 Results in Mathematics 6 Computational Mechanics 6 Journal of the Egyptian Mathematical Society 6 Discrete and Continuous Dynamical Systems 6 Computational Methods in Applied Mathematics 6 Fixed Point Theory and Applications 6 Proceedings of the Steklov Institute of Mathematics 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 5 Reports on Mathematical Physics 5 Mathematics of Computation 5 Fuzzy Sets and Systems 5 SIAM Journal on Control and Optimization 5 SIAM Journal on Mathematical Analysis 5 Opuscula Mathematica 5 Mathematical Modelling and Analysis 5 Boletim da Sociedade Paranaense de Matemática. Terceira Série 5 Nonlinear Analysis. Hybrid Systems 5 Tbilisi Mathematical Journal ...and 278 more Serials all top 5 Cited in 51 Fields 1,717 Ordinary differential equations (34-XX) 1,118 Numerical analysis (65-XX) 973 Real functions (26-XX) 789 Partial differential equations (35-XX) 294 Integral equations (45-XX) 281 Operator theory (47-XX) 260 Systems theory; control (93-XX) 236 Biology and other natural sciences (92-XX) 204 Dynamical systems and ergodic theory (37-XX) 130 Special functions (33-XX) 96 Approximations and expansions (41-XX) 94 Probability theory and stochastic processes (60-XX) 90 Calculus of variations and optimal control; optimization (49-XX) 81 Mechanics of deformable solids (74-XX) 77 Difference and functional equations (39-XX) 74 Fluid mechanics (76-XX) 70 Integral transforms, operational calculus (44-XX) 59 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 55 Information and communication theory, circuits (94-XX) 40 Mechanics of particles and systems (70-XX) 28 Statistical mechanics, structure of matter (82-XX) 27 Computer science (68-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 24 Operations research, mathematical programming (90-XX) 20 Functional analysis (46-XX) 17 Measure and integration (28-XX) 16 Functions of a complex variable (30-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Optics, electromagnetic theory (78-XX) 12 Quantum theory (81-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Geophysics (86-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 General and overarching topics; collections (00-XX) 6 Combinatorics (05-XX) 6 Abstract harmonic analysis (43-XX) 6 Statistics (62-XX) 5 General topology (54-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Sequences, series, summability (40-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 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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