Edit Profile (opens in new tab) Sarafyan, Diran Co-Author Distance Author ID: sarafyan.diran Published as: Sarafyan, D.; Sarafyan, Diran Documents Indexed: 27 Publications since 1953 Software Indexed: 1 Package Co-Authors: 6 Co-Authors with 13 Joint Publications 192 Co-Co-Authors all top 5 Co-Authors 13 single-authored 9 Derr, Leroy J. 9 Outlaw, Curtis 2 Adomian, George 1 Bellomo, Nicola 1 Corwin, Stephen P. 1 Rach, Randolph C. all top 5 Serials 6 Computers & Mathematics with Applications 6 Journal of Mathematical Analysis and Applications 3 Rivista di Matematica della Universitá di Parma, II. Serie 2 Communications of the ACM 2 L’Enseignement Mathématique. 2e Série 1 Mathematics Magazine 1 Applied Mathematics and Computation 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Applied Numerical Mathematics 1 Computers and Mathematics with Applications. Part A 1 Rendiconti di Matematica, VI. Serie 1 BIT. Nordisk Tidskrift for Informationsbehandling Fields 19 Numerical analysis (65-XX) 9 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 19 Publications have been cited 143 times in 101 Documents Cited by ▼ Year ▼ On Adomian’s decomposition method and some comparisons with Picard’s iterative scheme. Zbl 0624.60079 Bellomo, N.; Sarafyan, D. 23 1987 DKLAG6: A code based on continuously imbedded sixth-order Runge-Kutta methods for the solution of state-dependent functional differential equations. Zbl 0899.65046 Corwin, S. P.; Sarafyan, D.; Thompson, S. 16 1997 Continuous approximate solution of ordinary differential equations and their systems. Zbl 0552.65056 Sarafyan, Diran 14 1984 On the solution of equations containing radicals by the decomposition method. Zbl 0579.60060 Adomian, G.; Rach, R.; Sarafyan, D. 11 1985 New algorithms for the continuous approximate solution of ordinary differential equations and the upgrading of the order of the processes. Zbl 0702.65069 Sarafyan, D. 11 1990 Numerical solution of differential equations in the deterministic limit of stochastic theory. Zbl 0466.65046 Adomian, G.; Sarafyan, D. 10 1981 Multistep methods for the numerical solution of ordinary differential equations made self-starting. Zbl 0147.35605 Sarafyan, D. 10 1966 Improved sixth-order Runge-Kutta formulas and approximate continuous solution of ordinary differential equations. Zbl 0291.65018 Sarafyan, D. 9 1972 A sixth-order imbedded Runge-Kutta algorithm with continuously variable weights. Zbl 0626.65069 Outlaw, Curtis; Derr, Leroy; Sarafyan, Diran 7 1986 An investigation of Runge-Kutta processes, and equivalence of scalar and vector cases. Zbl 0552.65057 Sarafyan, Diran; Outlaw, Curtis; Derr, Leroy 5 1984 Generalizations of the Euler-Maclaurin formula. Zbl 0414.65011 Sarafyan, Diran; Derr, Leroy; Outlaw, Curtis 5 1979 Error estimation for Runge-Kutta methods through pseudo-iterative formulas. Zbl 0207.16401 Sarafyan, D. 4 1968 An investigation concerning fifth order scalar and vector Runge-Kutta processes. Zbl 0298.65050 Sarafyan, D. 4 1971 Approximate solution of ordinary differential equations and their systems through discrete and continuous embedded Runge-Kutta formulae and upgrading of their order. Zbl 0817.65061 Sarafyan, D. 2 1994 Generalization of Euler-Maclaurin sum formula to the six point Newton- Cotes quadrature formula. Zbl 0439.41020 Derr, Leroy; Outlaw, Curtis; Sarafyan, Diran 2 1979 Generalization of the Euler-Maclaurin formula for Gauss, Lobatto and other quadrature formulas. Zbl 0508.65008 Outlaw, Curtis; Sarafyan, Diran; Derr, Leroy 2 1982 Families of continuous approximate processes for the solution of ordinary differential equations. Zbl 0669.65059 Sarafyan, D. 2 1988 Upgraded Gauss and Lobatto formulas wirh error estimation. Zbl 0578.41035 Derr, Leroy; Outlaw, Curtis; Sarafyan, Diran 1 1985 Computer derivation of algebraic equations associated with Runge-Kutta formulas. Zbl 0149.37701 Sarafyan, Diran; Brown, Robert 1 1967 DKLAG6: A code based on continuously imbedded sixth-order Runge-Kutta methods for the solution of state-dependent functional differential equations. Zbl 0899.65046 Corwin, S. P.; Sarafyan, D.; Thompson, S. 16 1997 Approximate solution of ordinary differential equations and their systems through discrete and continuous embedded Runge-Kutta formulae and upgrading of their order. Zbl 0817.65061 Sarafyan, D. 2 1994 New algorithms for the continuous approximate solution of ordinary differential equations and the upgrading of the order of the processes. Zbl 0702.65069 Sarafyan, D. 11 1990 Families of continuous approximate processes for the solution of ordinary differential equations. Zbl 0669.65059 Sarafyan, D. 2 1988 On Adomian’s decomposition method and some comparisons with Picard’s iterative scheme. Zbl 0624.60079 Bellomo, N.; Sarafyan, D. 23 1987 A sixth-order imbedded Runge-Kutta algorithm with continuously variable weights. Zbl 0626.65069 Outlaw, Curtis; Derr, Leroy; Sarafyan, Diran 7 1986 On the solution of equations containing radicals by the decomposition method. Zbl 0579.60060 Adomian, G.; Rach, R.; Sarafyan, D. 11 1985 Upgraded Gauss and Lobatto formulas wirh error estimation. Zbl 0578.41035 Derr, Leroy; Outlaw, Curtis; Sarafyan, Diran 1 1985 Continuous approximate solution of ordinary differential equations and their systems. Zbl 0552.65056 Sarafyan, Diran 14 1984 An investigation of Runge-Kutta processes, and equivalence of scalar and vector cases. Zbl 0552.65057 Sarafyan, Diran; Outlaw, Curtis; Derr, Leroy 5 1984 Generalization of the Euler-Maclaurin formula for Gauss, Lobatto and other quadrature formulas. Zbl 0508.65008 Outlaw, Curtis; Sarafyan, Diran; Derr, Leroy 2 1982 Numerical solution of differential equations in the deterministic limit of stochastic theory. Zbl 0466.65046 Adomian, G.; Sarafyan, D. 10 1981 Generalizations of the Euler-Maclaurin formula. Zbl 0414.65011 Sarafyan, Diran; Derr, Leroy; Outlaw, Curtis 5 1979 Generalization of Euler-Maclaurin sum formula to the six point Newton- Cotes quadrature formula. Zbl 0439.41020 Derr, Leroy; Outlaw, Curtis; Sarafyan, Diran 2 1979 Improved sixth-order Runge-Kutta formulas and approximate continuous solution of ordinary differential equations. Zbl 0291.65018 Sarafyan, D. 9 1972 An investigation concerning fifth order scalar and vector Runge-Kutta processes. Zbl 0298.65050 Sarafyan, D. 4 1971 Error estimation for Runge-Kutta methods through pseudo-iterative formulas. Zbl 0207.16401 Sarafyan, D. 4 1968 Computer derivation of algebraic equations associated with Runge-Kutta formulas. Zbl 0149.37701 Sarafyan, Diran; Brown, Robert 1 1967 Multistep methods for the numerical solution of ordinary differential equations made self-starting. Zbl 0147.35605 Sarafyan, D. 10 1966 all cited Publications top 5 cited Publications all top 5 Cited by 131 Authors 10 Sarafyan, Diran 6 Duan, Junsheng 6 Shampine, Lawrence Fred 5 Derr, Leroy J. 5 Outlaw, Curtis 5 Rach, Randolph C. 4 Adomian, George 4 Cherruault, Yves 3 Babolian, Esmail 3 Biazar, Jafar 3 Bulut, Hasan 3 Hartung, Ferenc 3 Jator, Samuel N. 3 Kaya, Doǧan 3 Thompson, Sylvester 3 Tyliszczak, Artur 2 Awoyemi, David O. 2 Coppini, Fabio 2 Corwin, Stephen P. 2 Hussain, Kasim Abbas 2 Inc, Mustafa 2 Ismail, Fudziah Bt. 2 Luzyanina, Tatyana 2 Neves, Kenneth W. 2 Onumanyi, Peter 2 Ramos, Higinio 2 Redhwan, Saleh S. 2 Roose, Dirk 2 Santini, Paolo Maria 2 Senu, Norazak 2 Singh, Gurjinder 2 Singha, Neelam 2 Thompson, Skip 1 Abbaoui, Karim 1 Abd-Elhameed, Waleed Mohamed 1 Abdelrazec, Ahmed 1 Abdelwahid, Fawzi 1 Abdo, Mohammed Salem 1 Abdulqader, Alan Jalal 1 Abood, Basim N. 1 Adam, Marcin 1 Adeyeye, Oluwaseun 1 Akinfenwa, Olusheye Aremu Akin 1 Al-Khaled, Kamel M. 1 Alabdala, Awad T. 1 Aljaaidi, Tariq A. 1 Ardjouni, Abdelouaheb 1 Balanov, Alexander G. 1 Bhrawy, Ali Hassan 1 Bocharov, Gennady A. 1 Boguslawski, Andrzej 1 Brosilow, Coleman B. 1 Caban, Lena 1 Canazas Garay, Anthonny F. 1 Cash, Jeff R. 1 Chaolu, Temuer 1 Czerwik, Stefan 1 Dubeau, François 1 Ehrich, Sven 1 El-Sayed, Ahmed Mohamed Ahmed 1 El-Sayed, Salah M. 1 Elrod, M. 1 Elsayed, Elsayed Mohammed 1 Engelborghs, Koen 1 Enright, Wayne H. 1 Evans, David John 1 Faraggi, Alberto 1 Feldstein, Alan 1 Gahinet, Pascal M. 1 Garba, Jamiu 1 Garg, Arvind 1 Geurts, Bernard J. 1 Gobithaasan, R. U. 1 Gopika, P. B. 1 Goudar, Chetan T. 1 Guo, Jihong 1 Hadžievski, Ljupčo 1 Halder, Sukanta 1 Hashem, Hind H. G. 1 Janson, Natalia B. 1 Kanwar, Vinay 1 Kelesoglu, Omer 1 Kember, G. C. 1 Khochemane, Houssem Eddine 1 Król, Krzysztof 1 Li, Jiang 1 Li, Xianfang 1 Liu, Yunpeng 1 Mahmoud, R. A. 1 Malomed, Boris A. 1 Maluckov, Aleksandra 1 McClintock, Peter Vaughan Elsmere 1 Mehrkanoon, Siamak 1 Merluzzi, P. 1 Milovanović, Gradimir V. 1 Miura, Kenjiro Takai 1 Mohamed, Adel S. 1 Molnárka, Győző 1 Mück, Wolfgang 1 Nadupuri, Suresh Kumar ...and 31 more Authors all top 5 Cited in 39 Serials 16 Computers & Mathematics with Applications 15 Applied Mathematics and Computation 7 Applied Numerical Mathematics 5 Journal of Mathematical Analysis and Applications 5 Journal of Computational and Applied Mathematics 4 International Journal of Computer Mathematics 3 Kybernetes 3 Mathematical and Computer Modelling 3 Mathematical Problems in Engineering 2 Mathematics and Computers in Simulation 2 Journal of the Nigerian Mathematical Society 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 Numerical Algorithms 2 Nonlinear Functional Analysis and Applications 2 Journal of Physics A: Mathematical and Theoretical 2 Afrika Matematika 1 Journal of Computational Physics 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Computing 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Journal of Integral Equations and Applications 1 Applied Mathematical Modelling 1 Computers and Mathematics with Applications. Part A 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Advances in Engineering Software 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Chaos 1 Fractional Calculus & Applied Analysis 1 Combustion Theory and Modelling 1 Journal of High Energy Physics 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 The Australian Journal of Mathematical Analysis and Applications 1 Applications and Applied Mathematics 1 Communications in Theoretical Physics 1 International Journal of Differential Equations 1 Journal of Function Spaces all top 5 Cited in 20 Fields 77 Numerical analysis (65-XX) 54 Ordinary differential equations (34-XX) 14 Partial differential equations (35-XX) 6 Operator theory (47-XX) 6 Fluid mechanics (76-XX) 5 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 Number theory (11-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Citations by Year