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Author ID: simos.theodore-e Recent zbMATH articles by "Simos, Theodore E."
Published as: Simos, T. E.; Simos, Theodore E.; Simos, Theodore
Homepage: http://theodoresimos.org/
External Links: MGP · Google Scholar · ResearchGate · dblp · GND
Documents Indexed: 429 Publications since 1987, including 1 Book
43 Contributions as Editor
Reviewing Activity: 63 Reviews
Co-Authors: 113 Co-Authors with 364 Joint Publications
1,471 Co-Co-Authors
all top 5

Co-Authors

94 single-authored
55 Tsitouras, Charalampos
39 Kalogiratou, Zacharoula
32 Alolyan, Ibraheem
32 Anastassi, Zacharias A.
21 Medvedev, Maxim A.
16 Monovasilis, Theodoros
16 Psihoyios, George
15 Lin, Chialiang
15 Medvedeva, Marina A.
15 Vlachos, D. S.
13 Avdelas, George
12 Vigo-Aguiar, Jesus
11 Liu, Chenglian
9 Konguetsof, Avrilia
9 Maroulis, George
9 Raptis, A. D.
9 Williams, P. S.
8 Kovalnogov, Vladislav N.
7 Panopoulos, G. A.
7 Sakas, D. P.
6 Famelis, Ioannis Th.
6 Fedorov, Ruslan V.
6 Hsu, Chieh-Wen
5 Berg, Dmitry B.
5 Papakaliatakis, G.
5 Tselios, Kostas
4 Monovasilis, Theodore
4 Papadopoulos, D. F.
4 Papageorgiou, George
3 Fang, Jie
3 Hui, Fei
3 Kalvouridis, Tilemahos J.
3 Katsikis, Vasilios N.
3 Kosti, Athinoula A.
3 Mitsou, G. V.
3 Ramos, Higinio
3 Sideridis, A. B.
3 Wang, Zenggui
2 Bondarenko, Aleksandr Adamovich
2 Cash, Jeff R.
2 Chen, Zhong
2 Ferrándiz, José Manuel
2 Luo, Jun
2 Ma, Yu-Yu
2 Mourtas, Spyridon D.
2 Ning, Hang
2 Papageorgiou, C. D.
2 Shi, Xin
2 Stavroyiannis, S.
2 Varagouli, E. G.
2 Xeidakis, G. S.
2 Xi, Xiaopeng
2 Yan, Ke
2 Yao, Junfeng
2 Zeidan, Dia
2 Zhao, Zhen
2 Zhou, Zhou
1 Aguiar, J. V.
1 Allison, A. C.
1 Anatassi, Zacharias
1 Batzias, Fragiskos
1 Chen, Jwu Jenq
1 Chen, Xiaoping
1 Chenga, Xin
1 De, Ashoke
1 Dimas, E. E.
1 Dong, Ming
1 Generalov, Dmitry
1 Golovanov, Viktor M.
1 Goncalves, Eric
1 Gürlebeck, Klaus
1 Hao, Ruru
1 Hao, Sheng
1 Harley, Charis
1 Hou, Chih-Chun
1 Huang, Junjie
1 Kefalidis, E.
1 Kosinski, Pawel
1 Kosmas, Odysseas
1 Kostishko, Boris M.
1 Lei, Tao
1 Li, Xingyuan
1 Liang, Minjian
1 Lv, Jieyin
1 Ma, Jing
1 Ma, Junyan
1 Manousopoulos, P. D.
1 Mingliang, Zheng
1 Mu, Kenan
1 Mylonas, A. B.
1 Psihoyios, Georgios
1 Qiu, Guohua
1 Qiu, Junlai
1 Stasinos, P. I.
1 Stefanis, B.
1 Sun, Bin
1 Suranov, D. V.
1 Thomakos, Dimitrios D.
1 Tong, Xing
1 Tougelidis, G.
...and 13 more Co-Authors
all top 5

Serials

154 Journal of Mathematical Chemistry
31 Journal of Computational and Applied Mathematics
27 Mathematical Methods in the Applied Sciences
24 Computer Physics Communications
20 MATCH - Communications in Mathematical and in Computer Chemistry
17 Computers & Mathematics with Applications
17 AIP Conference Proceedings
15 Applied Mathematics and Computation
14 International Journal of Modern Physics C
9 Mathematical and Computer Modelling
7 Computers and Chemistry
7 Lecture Series on Computer and Computational Sciences
6 Journal of Computational Physics
6 Applied Mathematics Letters
6 ANACM. Applied Numerical Analysis and Computational Mathematics
6 Mediterranean Journal of Mathematics
5 Applied and Computational Mathematics
4 Physics Letters. A
4 Molecular Simulation
4 Numerical Algorithms
3 International Journal of Modern Physics A
3 Astrophysics and Space Science
3 Applied Numerical Mathematics
2 Helvetica Physica Acta
2 IMA Journal of Numerical Analysis
2 Computing
2 Japan Journal of Industrial and Applied Mathematics
2 Applied Mathematical Modelling
2 International Journal of Computer Mathematics
2 Abstract and Applied Analysis
2 Journal of Statistics & Management Systems
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Computational Methods in Sciences and Engineering
1 Modern Physics Letters A
1 Computers and Structures
1 International Journal of Theoretical Physics
1 Physics Reports
1 ACM Transactions on Mathematical Software
1 BIT
1 Match
1 Mathematics and Computers in Simulation
1 Acta Applicandae Mathematicae
1 Journal of Computational Mathematics
1 Computational Mechanics
1 Journal of Scientific Computing
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Celestial Mechanics
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Filomat
1 Parallel Algorithms and Applications
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Applied Mathematics
1 Advances in Mathematical Physics

Publications by Year

Citations contained in zbMATH Open

370 Publications have been cited 10,990 times in 729 Documents Cited by Year
A finite-difference method for the numerical solution of the Schrödinger equation. Zbl 0877.65054
Simos, T. E.; Williams, P. S.
153
1997
A four-step phase-fitted method for the numerical integration of second order initial-value problems. Zbl 0726.65089
Raptis, A. D.; Simos, T. E.
124
1991
Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation. Zbl 1192.65111
Simos, T. E.
122
2010
An optimized Runge-Kutta method for the solution of orbital problems. Zbl 1063.65059
Anastassi, Z. A.; Simos, T. E.
118
2005
Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems. Zbl 1171.65449
Simos, T. E.
118
2009
Optimization as a function of the phase-lag order of nonlinear explicit two-step \(P\)-stable method for linear periodic IVPs. Zbl 1169.65324
Stavroyiannis, S.; Simos, T. E.
113
2009
Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics. Zbl 1063.65113
Tselios, Kostas; Simos, T. E.
110
2005
A fourth algebraic order trigonometrically fitted predictor-corrector scheme for IVPs with oscillating solutions. Zbl 1063.65060
Psihoyios, G.; Simos, T. E.
103
2005
Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation. Zbl 1063.65067
Sakas, D. P.; Simos, T. E.
103
2005
Newton–Cotes formulae for long-time integration. Zbl 1041.65104
Kalogiratou, Z.; Simos, T. E.
103
2003
Symplectic integrators for the numerical solution of the Schrödinger equation. Zbl 1027.65171
Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E.
103
2003
Trigonometrically fitted predictor–corrector methods for IVPs with oscillating solutions. Zbl 1027.65095
Psihoyios, G.; Simos, T. E.
103
2003
New modified Runge-Kutta-Nyström methods for the numerical integration of the Schrödinger equation. Zbl 1202.65092
Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E.
103
2010
High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation. Zbl 1161.65091
Simos, T. E.
101
2009
A generator of hybrid symmetric four-step methods for the numerical solution of the Schrödinger equation. Zbl 1027.65094
Konguetsof, A.; Simos, T. E.
98
2003
A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems. Zbl 1246.65105
Anastassi, Z. A.; Simos, T. E.
98
2012
Zero dissipative, explicit Numerov-type methods for second order IVPs with oscillating solutions. Zbl 1031.65080
Simos, T. E.; Famelis, I. T.; Tsitouras, C.
97
2003
Construction of an optimized explicit Runge-Kutta-Nyström method for the numerical solution of oscillatory initial value problems. Zbl 1222.65066
Kosti, A. A.; Anastassi, Z. A.; Simos, T. E.
96
2011
Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution. Zbl 1062.65075
Simos, T. E.
95
2004
On modified Runge-Kutta trees and methods. Zbl 1231.65118
Tsitouras, Ch.; Famelis, I. Th.; Simos, T. E.
95
2011
A new Numerov-type method for the numerical solution of the Schrödinger equation. Zbl 1183.81060
Simos, T. E.
92
2009
An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions. Zbl 1001.65080
Simos, T. E.
91
1998
Construction of exponentially fitted symplectic Runge-Kutta-Nyström methods from partitioned Runge-Kutta methods. Zbl 1347.65123
Monovasilis, T.; Kalogiratou, Z.; Simos, T. E.
90
2016
On finite difference methods for the solution of the Schrödinger equation. Zbl 0940.65082
Simos, T. E.; Williams, P. S.
89
1999
A Runge-Kutta type implicit high algebraic order two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of coupled differential equations arising from the Schrödinger equation. Zbl 1318.65039
Mu, Kenan; Simos, T. E.
88
2015
A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation. Zbl 1236.65083
Alolyan, Ibraheem; Simos, T. E.
88
2011
Trigonometrically fitted Runge-Kutta methods for the numerical solution of the Schrödinger equation. Zbl 1070.81035
Anastassi, Z. A.; Simos, T. E.
87
2005
A modified phase-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 1003.65082
Simos, T. E.; Aguiar, Jesus Vigo
87
2001
New stable closed Newton-Cotes trigonometrically fitted formulae for long-time integration. Zbl 1242.65026
Simos, T. E.
86
2012
Two optimized symmetric eight-step implicit methods for initial-value problems with oscillating solutions. Zbl 1198.81099
Panopoulos, G. A.; Anastassi, Z. A.; Simos, T. E.
85
2009
A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods. Zbl 1161.65090
Monovasilis, Th.; Kalogiratou, Z.; Simos, T. E.
85
2009
A new two stage symmetric two-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrödinger equation. Zbl 1349.65222
Zhou, Zhou; Simos, T. E.
84
2016
A new family of two stage symmetric two-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation. Zbl 1329.65142
Hui, Fei; Simos, T. E.
83
2015
A new family of symmetric linear four-step methods for the efficient integration of the Schrödinger equation and related oscillatory problems. Zbl 1244.65107
Alolyan, Ibraheem; Anastassi, Zacharias A.; Simos, Theodore E.
83
2012
Symmetric eighth algebraic order methods with minimal phase-lag for the numerical solution of the Schrödinger equation. Zbl 1002.65078
Simos, T. E.; Vigo-Aguiar, Jesus
82
2002
Family of twelve steps exponential fitting symmetric multistep methods for the numerical solution of the Schrödinger equation. Zbl 1014.81055
Vigo-Aguiar, J.; Simos, T. E.
81
2002
An optimized two-step hybrid block method for solving general second order initial-value problems. Zbl 1347.65121
Ramos, Higinio; Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E.
80
2016
Construction of trigonometrically and exponentially fitted Runge–Kutta–Nyström methods for the numerical solution of the Schrödinger equation and related problems – a method of 8th algebraic order. Zbl 1002.65077
Kalogiratou, Z.; Simos, T. E.
80
2002
Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions. Zbl 1003.65081
Simos, T. E.
76
2002
A family of exponentially-fitted Runge-Kutta methods with exponential order up to three for the numerical solution of the Schrödinger equation. Zbl 1125.81017
Anastassi, Z. A.; Simos, T. E.
74
2007
A family of multiderivative methods for the numerical solution of the Schrödinger equation. Zbl 1070.81045
Sakas, D. P.; Simos, T. E.
74
2005
Symplectic methods for the numerical solution of the radial Schrödinger equation. Zbl 1029.65134
Tselios, Kostas; Simos, T. E.
73
2003
An eight-step semi-embedded predictor-corrector method for orbital problems and related IVPs with oscillatory solutions for which the frequency is unknown. Zbl 1330.65107
Panopoulos, G. A.; Simos, T. E.
72
2015
A new explicit Bessel and Neumann fitted eighth algebraic order method for the numerical solution of the Schrödinger equation. Zbl 1014.81012
Simos, T. E.
72
2000
New P-stable eighth algebraic order exponentially-fitted methods for the numerical integration of the Schrödinger equation. Zbl 1078.65061
Avdelas, G.; Kefalidis, E.; Simos, T. E.
72
2002
Exponentially-fitted multiderivative methods for the numerical solution of the Schrödinger equation. Zbl 1050.65074
Simos, T. E.
72
2004
A generator and an optimized generator of high-order hybrid explicit methods for the numerical solution of the Schrödinger equation. II: Development of the generator, optimization of the generator and numerical results. Zbl 1022.81009
Avdelas, G.; Konguetsof, A.; Simos, T. E.
72
2001
Optimized Runge-Kutta pairs for problems with oscillating solutions. Zbl 1013.65073
Tsitouras, Ch.; Simos, T. E.
71
2002
A generator and an optimized generator of high-order hybrid explicit methods for the numerical solution of the Schrödinger equation. I: Development of the basic method. Zbl 1022.81008
Avdelas, G.; Konguetsof, A.; Simos, T. E.
71
2001
High order closed Newton-Cotes exponentially and trigonometrically fitted formulae as multilayer symplectic integrators and their application to the radial Schrödinger equation. Zbl 1403.81016
Simos, T. E.
71
2012
A family of trigonometrically-fitted symmetric methods for the efficient solution of the Schrödinger equation and related problems. Zbl 1029.65079
Simos, T. E.
70
2003
A new approach on the construction of trigonometrically fitted two step hybrid methods. Zbl 1382.65196
Kalogiratou, Z.; Monovasilis, Th.; Ramos, Higinio; Simos, T. E.
70
2016
A low computational cost eight algebraic order hybrid method with vanished phase-lag and its first, second, third and fourth derivatives for the approximate solution of the Schrödinger equation. Zbl 1331.65098
Ning, Hang; Simos, T. E.
69
2015
Exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation. Zbl 1073.65071
Monovasilis, Th.; Kalogiratou, Z.; Simos, T. E.
69
2005
Sixth algebraic order trigonometrically fitted predictor-corrector methods for the numerical solution of the radial Schrödinger equation. Zbl 1070.81044
Psihoyios, G.; Simos, T. E.
69
2005
Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation. Zbl 1125.81021
Monovasilis, Th.; Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E.
67
2006
Multistage symmetric two-step P-stable method with vanished phase-lag and its first, second and third derivatives. Zbl 1332.65102
Simos, Theodore E.
67
2015
New high order multiderivative explicit four-step methods with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. I: construction and theoretical analysis. Zbl 1270.81083
Simos, T. E.
67
2013
Symplectic methods of fifth order for the numerical solution of the radial Schrödinger equation. Zbl 1044.81031
Tselios, Kostas; Simos, T. E.
65
2004
An economical eighth-order method for the approximation of the solution of the Schrödinger equation. Zbl 1422.65115
Wang, Zhiwei; Simos, T. E.
65
2017
An explicit four-step method with vanished phase-lag and its first and second derivatives. Zbl 1297.65084
Simos, T. E.
64
2014
Two new optimized eight-step symmetric methods for the efficient solution of the Schrödinger equation and related problems. Zbl 1199.65236
Panopoulos, G. A.; Anastassi, Z. A.; Simos, T. E.
63
2008
The numerical solution of the radial Schrödinger equation via a trigonometrically fitted family of seventh algebraic order predictor-corrector methods. Zbl 1125.81022
Psihoyios, G.; Simos, T. E.
62
2006
An exponentially-fitted and trigonometrically-fitted method for the numerical solution of periodic initial-value problems. Zbl 1035.65071
Konguetsof, A.; Simos, T. E.
62
2003
A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems. Zbl 1196.65123
Simos, T. E.; Vigo-Aguiar, Jesus
62
2003
A four-step exponentially fitted method for the numerical solution of the Schrödinger equation. Zbl 1125.81023
Simos, T. E.
61
2006
A Runge-Kutta type four-step method with vanished phase-lag and its first and second derivatives for each level for the numerical integration of the Schrödinger equation. Zbl 1300.65050
Alolyan, Ibraheem; Simos, T. E.
59
2014
The use of phase lag and amplification error derivatives for the construction of a modified Runge-Kutta-Nyström method. Zbl 1275.65044
Papadopoulos, D. F.; Simos, T. E.
58
2013
A finite difference pair with improved phase and stability properties. Zbl 1384.65050
Yan, Ke; Simos, T. E.
58
2018
A family of two-stage two-step methods for the numerical integration of the Schrödinger equation and related IVPs with oscillating solution. Zbl 1198.81075
Anastassi, Z. A.; Simos, T. E.
57
2009
An optimized explicit Runge-Kutta method with increased phase-lag order for the numerical solution of the Schrödinger equation and related problems. Zbl 1200.81052
Kosti, A. A.; Anastassi, Z. A.; Simos, T. E.
57
2010
A high-order two-step phase-fitted method for the numerical solution of the Schrödinger equation. Zbl 1349.65221
Zhang, Wei; Simos, T. E.
57
2016
A family of explicit linear six-step methods with vanished phase-lag and its first derivative. Zbl 1301.65068
Alolyan, Ibraheem; Simos, T. E.
55
2014
A hybrid type four-step method with vanished phase-lag and its first, second and third derivatives for each level for the numerical integration of the Schrödinger equation. Zbl 1307.65106
Alolyan, Ibraheem; Simos, T. E.
55
2014
A fourth algebraic order exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. Zbl 0990.65079
Simos, T. E.
55
2001
Efficient low computational cost hybrid explicit four-step method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical integration of the Schrödinger equation. Zbl 1325.65099
Alolyan, Ibraheem; Simos, T. E.
54
2015
New second-order exponentially and trigonometrically fitted symplectic integrators for the numerical solution of the time-independent Schrödinger equation. Zbl 1132.81344
Monovasilis, Th.; Simos, T. E.
54
2007
Symplectic partitioned Runge-Kutta methods with minimal phase-lag. Zbl 1219.65151
Monovasilis, Th.; Kalogiratou, Z.; Simos, T. E.
54
2010
A new explicit hybrid four-step method with vanished phase-lag and its derivatives. Zbl 1297.65085
Simos, T. E.
52
2014
High-order closed Newton-Cotes trigonometrically-fitted formulae for long-time integration of orbital problems. Zbl 1196.65194
Simos, T. E.
50
2008
Closed Newton-Cotes trigonometrically-fitted formulae of high order for the numerical integration of the Schrödinger equation. Zbl 1217.65054
Simos, T. E.
50
2008
Evolutionary generation of high-order, explicit, two-step methods for second-order linear IVPs. Zbl 1387.65066
Simos, T. E.; Tsitouras, Ch.
50
2017
A family of four-step trigonometrically-fitted methods and its application to the Schrödinger equation. Zbl 1217.65139
Simos, T. E.
49
2008
Explicit Numerov type methods with constant coefficients: a review. Zbl 1387.65065
Simos, T. E.; Tsitouras, Ch.; Famelis, I. Th.
49
2017
Modified two-step hybrid methods for the numerical integration of oscillatory problems. Zbl 1383.65074
Monovasilis, T.; Kalogiratou, Z.; Ramos, Higinio; Simos, T. E.
49
2017
Phase-fitted Runge-Kutta pairs of orders 8(7). Zbl 1366.65071
Tsitouras, Ch.; Famelis, I. Th.; Simos, T. E.
49
2017
A new four stages symmetric two-step method with vanished phase-lag and its first derivative for the numerical integration of the Schrödinger equation. Zbl 1345.65048
Liang, Minjian; Simos, T. E.
48
2016
Closed Newton-Cotes trigonometrically-fitted formulae for long-time integration. Zbl 1079.70502
Simos, T. E.
48
2003
A symmetric eight-step predictor-corrector method for the numerical solution of the radial Schrödinger equation and related IVPs with oscillating solutions. Zbl 1262.65084
Panopoulos, G. A.; Anastassi, Z. A.; Simos, T. E.
48
2011
A predictor-corrector explicit four-step method with vanished phase-lag and its first, second and third derivatives for the numerical integration of the Schrödinger equation. Zbl 1318.65042
Alolyan, Ibraheem; Simos, T. E.
47
2015
A high algebraic order predictor-corrector explicit method with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the Schrödinger equation and related problems. Zbl 1331.65093
Alolyan, Ibraheem; Simos, T. E.
47
2015
A high algebraic order multistage explicit four-step method with vanished phase-lag and its first, second, third, fourth and fifth derivatives for the numerical solution of the Schrödinger equation. Zbl 1325.65100
Alolyan, Ibraheem; Simos, T. E.
47
2015
Some embedded modified Runge-Kutta methods for the numerical solution of some specific Schrödinger equations. Zbl 0915.65084
Simos, T. E.
47
1998
Optimizing a hybrid two-step method for the numerical solution of the Schrödinger equation and related problems with respect to phase-lag. Zbl 1247.65096
Simos, T. E.
47
2012
Closed Newton-Cotes trigonometrically-fitted formulae for the solution of the Schrödinger equation. Zbl 1199.65411
Simos, T. E.
47
2008
A nonlinear explicit two-step fourth algebraic order method of order infinity for linear periodic initial value problems. Zbl 1219.65067
Stavroyiannis, S.; Simos, T. E.
47
2010
A new symmetric eight-step predictor-corrector method for the numerical solution of the radial Schrödinger equation and related orbital problems. Zbl 1236.65085
Panopoulos, G. A.; Anastassi, Z. A.; Simos, T. E.
46
2011
Computation of the eigenvalues of the Schrödinger equation by symplectic and trigonometrically fitted symplectic partitioned Runge-Kutta methods. Zbl 1217.81061
Monovasilis, Th.; Kalogiratou, Z.; Simos, T. E.
44
2008
A new optimized symmetric 8-step semi-embedded predictor-corrector method for the numerical solution of the radial Schrödinger equation and related orbital problems. Zbl 1312.65117
Panopoulos, G. A.; Simos, T. E.
44
2013
A new methodology for the construction of optimized Runge-Kutta-Nyström methods. Zbl 1262.65080
Papadopoulos, D. F.; Simos, T. E.
44
2011
A singularly P-stable two-step method with improved characteristics for problems in chemistry. Zbl 1484.81032
Medvedeva, Marina A.; Simos, T. E.
4
2022
A two-step singularly P-Stable method with high phase and large stability properties for problems in chemistry. Zbl 1487.81083
Generalov, Dmitry; Tsvetova, Ekaterina; Fedorov, Ruslan; Kovalnogov, Vladislav; Simos, T. E.
2
2022
A phase-fitting and first derivative phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry. Zbl 07562014
Medvedev, Maxim A.; Simos, T. E.
2
2022
A two-step method singularly P-Stable with improved properties for problems in quantum chemistry. Zbl 1487.81087
Medvedeva, Marina A.; Simos, T. E.
1
2022
A new economical method with eliminated phase-lag and its derivative for problems in chemistry. Zbl 1466.65048
Ma, Yu-Yu; Lin, Chia-Liang; Simos, T. E.
6
2021
A new method with improved phase-lag and stability properties for problems in quantum chemistry - an economical case. Zbl 07382634
Li, Xingyuan; Lin, Chia-Liang; Simos, T. E.
3
2021
An economical two-step method with improved phase and stability properties for problems in chemistry. Zbl 1472.65084
Medvedeva, Marina A.; Simos, T. E.
3
2021
A new improved economical finite difference method for problems in quantum chemistry. Zbl 1472.65085
Mingliang, Zheng; Simos, T. E.
3
2021
Two-step method with vanished phase-lag and its derivatives for problems in quantum chemistry: an economical case. Zbl 1476.81166
Medvedev, Maxim A.; Simos, T. E.
1
2021
An economical two-step method with optimal phase and stability properties for problems in chemistry. Zbl 1476.81165
Medvedeva, Marina A.; Simos, T. E.
1
2021
A phase fitted FinDiff process for DifEquns in quantum chemistry. Zbl 1433.81079
Hao, Sheng; Simos, T. E.
24
2020
An integrated in phase FD procedure for DiffEqns in chemical problems. Zbl 1433.81081
Ma, Yu-Yu; Lin, Chia-Liang; Simos, T. E.
19
2020
A complete in phase FinitDiff procedure for DiffEquns in chemistry. Zbl 1433.81168
Tong, Xing; Simos, T. E.
19
2020
A phase fitted FiniteDiffr process for DiffrntEqutns in chemistry. Zbl 1440.65283
Chen, Xiaoping; Simos, T. E.
15
2020
A complete in phase FiniteDiffrnc algorithm for DiffrntEqutins in chemistry. Zbl 1440.65284
Lin, Chia-Liang; Simos, T. E.
12
2020
Full in phase finite difference algorithm for differential equations in quantum chemistry. Zbl 1440.65285
Zhao, Zhen; Luo, Jun; Lin, Chia-Liang; Simos, T. E.
12
2020
Neural network solution of pantograph type differential equations. Zbl 1453.65165
Hou, Chih-Chun; Simos, Theodore E.; Famelis, Ioannis Th.
9
2020
Neural network solution of single-delay differential equations. Zbl 1431.65090
Fang, Jie; Liu, Chenglian; Simos, T. E.; Famelis, I. Th.
7
2020
Phase fitted method for quantum chemistry problems. Zbl 1444.81038
Luo, Jun; Zhao, Zhen; Lin, Chia-Liang; Simos, T. E.
5
2020
Complete in phase method for problems in chemistry. Zbl 1471.65089
Lin, Chia-Liang; Simos, T. E.
4
2020
Phase fitted algorithm for problems in quantum chemistry. Zbl 1448.81484
Medvedeva, Marina A.; Simos, T. E.
3
2020
A finite difference method with zero phase-lag and its derivatives for quantum chemistry problems. Zbl 1448.81315
Wang, Zenggui; Simos, T. E.
3
2020
A finite difference method with phase-lag and its derivatives equal to zero for problems in chemistry. Zbl 1448.65076
Medvedev, Maxim A.; Simos, T. E.
3
2020
Variable step-size implementation of sixth-order Numerov-type methods. Zbl 1451.65087
Medvedeva, Marina A.; Simos, Theodore E.; Tsitouras, Charalampos
2
2020
Two-derivative Runge-Kutta methods with optimal phase properties. Zbl 1452.65123
Kalogiratou, Zacharoula; Monovasilis, Theodore; Simos, Theodore E.
2
2020
Trigonometric fitted modification of RADAU5. Zbl 1451.65083
Medvedeva, Marina A.; Simos, Theodore E.; Tsitouras, Charalampos
2
2020
Eighth-order, phase-fitted, four-step methods for solving \(y^{\prime \prime} = f(x, y)\). Zbl 1453.65156
Alolyan, Ibraheem; Simos, Theodore E.; Tsitouras, Charalampos
2
2020
Ninth-order, explicit, two-step methods for second-order inhomogeneous linear IVPs. Zbl 1451.65086
Kovalnogov, Vladislav N.; Simos, Theodore E.; Tsitouras, Charalampos
2
2020
Explicit, ninth order, two step methods for solving inhomogeneous linear problems \(x''(t)= \Lambda x(t)+f(t)\). Zbl 1436.65085
Simos, T. E.; Tsitouras, Ch.
2
2020
Explicit, eighth-order, four-step methods for solving \(y^{\prime\prime}=f(x, y)\). Zbl 1450.65063
Medvedev, Maxim A.; Simos, T. E.; Tsitouras, Ch.
1
2020
6th order Runge-Kutta pairs for scalar autonomous IVP. Zbl 1480.65176
Simos, T. E.; Tsitouras, Ch.
1
2020
A three-stages multistep teeming in phase algorithm for computational problems in chemistry. Zbl 1417.81172
Medvedev, Maxim A.; Simos, T. E.
35
2019
An accomplished phase FD process for DEs in chemistry. Zbl 1429.81028
Medvedeva, Marina A.; Simos, T. E.
27
2019
A multistage two-step fraught in phase scheme for problems in mathematical chemistry. Zbl 1436.65086
Xu, Mingfei; Simos, T. E.
25
2019
A Runge-Kutta type crowded in phase algorithm for quantum chemistry problems. Zbl 1422.81180
Lv, Jieyin; Simos, T. E.
20
2019
Trigonometric-fitted hybrid four-step methods of sixth order for solving \(y''(x)= f(x,y)\). Zbl 1410.65254
Medvedev, Maxim A.; Simos, T. E.; Tsitouras, Ch.
19
2019
A multiple stage absolute in phase scheme for chemistry problems. Zbl 1426.81059
Zhang, Xunying; Simos, T. E.
17
2019
A perfect in phase FD algorithm for problems in quantum chemistry. Zbl 1426.81058
Qiu, Junlai; Huang, Junjie; Simos, T. E.
15
2019
New multiple stages two-step complete in phase algorithm with improved characteristics for second order initial/boundary value problems. Zbl 1414.81100
Wang, Guiping; Simos, T. E.
13
2019
Hybrid, phase-fitted, four-step methods of seventh order for solving \(x''(t) = f(t,x)\). Zbl 1416.65195
Medvedev, Maxim A.; Simos, T. E.; Tsitouras, Ch.
13
2019
Evolutionary derivation of sixth-order P-stable SDIRKN methods for the solution of PDEs with the method of lines. Zbl 1415.65150
Lin, Chialiang; Chen, Jwu Jenq; Simos, T. E.; Tsitouras, Ch.
13
2019
Hybrid Numerov-type methods with coefficients trained to perform better on classical orbits. Zbl 1437.65067
Liu, Chenglian; Hsu, Chieh-Wen; Tsitouras, Ch.; Simos, T. E.
10
2019
A new multistep method with optimized characteristics for initial and/or boundary value problems. Zbl 1406.81027
Qiu, Guo-Hua; Liu, Chenglian; Simos, T. E.
10
2019
New fifth-order two-derivative Runge-Kutta methods with constant and frequency-dependent coefficients. Zbl 1416.65194
Kalogiratou, Zacharoula; Monovasilis, Theodore; Simos, Theodore E.
10
2019
Explicit hybrid six – step, sixth order, fully symmetric methods for solving \(y"=f(x,y)\). Zbl 07082219
Fang, Jie; Liu, Chenglian; Hsu, Chieh-wen; Simos, Theodore E.; Tsitouras, Charalampos
8
2019
Phase-fitted, six-step methods for solving \(x^{\prime\prime} = f(t,x)\). Zbl 1431.65111
Liu, Chenglian; Hsu, Chieh-Wen; Simos, T. E.; Tsitouras, Ch.
7
2019
New multistage two-step complete in phase scheme with improved properties for quantum chemistry problems. Zbl 1414.81088
Hui, Fei; Simos, T. E.
7
2019
A new multistage multistep full in phase algorithm with optimized characteristics for problems in chemistry. Zbl 1414.81279
Chen, Zhong; Liu, Chenglian; Hsu, Chieh-Wen; Simos, T. E.
7
2019
A four-stages multistep fraught in phase method for quantum chemistry problems. Zbl 1417.81170
Alolyan, Ibraheem; Simos, T. E.
7
2019
New four stages multistep in phase algorithm with best possible properties for second order problems. Zbl 1414.81101
Yang, Nan; Simos, T. E.
6
2019
A new four-stages two-step phase fitted scheme for problems in quantum chemistry. Zbl 1414.81281
Hsu, Chieh-Wen; Lin, Chialiang; Liu, Chenglian; Simos, T. E.
6
2019
Low-order, P-stable, two-step methods for use with lax accuracies. Zbl 1431.65097
Medvedev, Maxim A.; Simos, Theodore E.; Tsitouras, Charalampos
6
2019
Local interpolants for Numerov-type methods and their implementation in variable step schemes. Zbl 1431.65098
Medvedev, Maxim A.; Simos, Theodore E.; Tsitouras, Charalampos
5
2019
Interpolants for sixth-order Numerov-type methods. Zbl 1431.65094
Alolyan, Ibraheem; Simos, T. E.; Tsitouras, Ch.
5
2019
Explicit, semi-symmetric, hybrid, six-step, eighth order methods for solving \(y''=f(x,y)\). Zbl 1431.65096
Lin, Chialiang; Hsu, Chieh-Wen; Simos, T. E.; Tsitouras, Ch.
5
2019
New multiple stages scheme with improved properties for second order problems. Zbl 1406.81026
Kovalnogov, V. N.; Fedorov, R. V.; Suranov, D. V.; Simos, T. E.
1
2019
New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems. Zbl 1414.81083
Alolyan, Ibraheem; Simos, T. E.
1
2019
A finite difference pair with improved phase and stability properties. Zbl 1384.65050
Yan, Ke; Simos, T. E.
58
2018
Trigonometric fitted, eighth-order explicit Numerov-type methods. Zbl 1387.65061
Berg, Dmitry B.; Simos, T. E.; Tsitouras, Ch.
33
2018
On ninth order, explicit Numerov-type methods with constant coefficients. Zbl 1446.65046
Tsitouras, Ch.; Simos, T. E.
27
2018
Trigonometric-fitted explicit Numerov-type method with vanishing phase-lag and its first and second derivatives. Zbl 1402.65063
Tsitouras, Ch.; Simos, T. E.
27
2018
Fitted modifications of classical Runge-Kutta pairs of orders 5(4). Zbl 1405.65087
Simos, T. E.; Tsitouras, Ch.
25
2018
A four stages numerical pair with optimal phase and stability properties. Zbl 1384.65048
Kovalnogov, Vladislav N.; Fedorov, Ruslan V.; Golovanov, Viktor M.; Kostishko, Boris M.; Simos, T. E.
25
2018
Explicit, two-stage, sixth-order, hybrid four-step methods for solving \(y''=(x)=f(x,y)\). Zbl 1402.65058
Medvedev, Maxim A.; Simos, T. E.; Tsitouras, Ch.
21
2018
Fitted modifications of Runge-Kutta pairs of orders 6(5). Zbl 1402.65057
Medvedev, Maxim A.; Simos, T. E.; Tsitouras, Ch.
20
2018
New finite difference pair with optimized phase and stability properties. Zbl 1453.65162
Yao, Junfeng; Simos, T. E.
19
2018
New five-stages two-step method with improved characteristics. Zbl 1397.81068
Yao, Junfeng; Simos, T. E.
18
2018
New three-stages symmetric two step method with improved properties for second order initial/boundary value problems. Zbl 1411.65086
Chen, Zhong; Liu, Chenglian; Simos, T. E.
18
2018
A new two-step finite difference pair with optimal properties. Zbl 1474.65219
Zheng, Jinbin; Liu, Chenglian; Simos, T. E.
18
2018
New five-stages finite difference pair with optimized phase properties. Zbl 1447.81118
Shi, Xin; Simos, T. E.
18
2018
A five-stages symmetric method with improved phase properties. Zbl 1479.81019
Liu, Chenglian; Simos, T. E.
18
2018
A hybrid finite difference pair with maximum phase and stability properties. Zbl 1453.65158
Fang, Jie; Liu, Chenglian; Simos, T. E.
17
2018
New hybrid two-step method with optimized phase and stability characteristics. Zbl 1402.81137
Kovalnogov, V. N.; Fedorov, R. V.; Bondarenko, A. A.; Simos, T. E.
17
2018
Trigonometrical fitting conditions for two derivative Runge-Kutta methods. Zbl 1416.65207
Monovasilis, Th.; Kalogiratou, Z.; Simos, T. E.
16
2018
New Runge-Kutta type symmetric two-step method with optimized characteristics. Zbl 1402.81145
Yan, Ke; Simos, T. E.
16
2018
New Runge-Kutta type symmetric two step finite difference pair with improved properties for second order initial and/or boundary value problems. Zbl 1406.81025
Hao, Ruru; Simos, T. E.
11
2018
New hybrid symmetric two step scheme with optimized characteristics for second order problems. Zbl 1411.65087
Kovalnogov, V. N.; Fedorov, R. V.; Simos, T. E.
10
2018
High phase-lag order, four-step methods for solving \(y^{\prime\prime} = f(x, y)\). Zbl 1432.65094
Simos, T. E.; Tsitouras, Ch.
10
2018
A multistep method with optimal properties for second order differential equations. Zbl 1384.65049
Medvedev, Maxim A.; Simos, T. E.
7
2018
A new multistep finite difference pair for the Schrödinger equation and related problems. Zbl 1462.65079
Berg, Dmitriy B.; Simos, T. E.
3
2018
A new six-step algorithm with improved properties for the numerical solution of second order initial and/or boundary value problems. Zbl 1447.81113
Medvedev, Maxim A.; Simos, T. E.
3
2018
New four-stages symmetric six-step method with improved phase properties for second order problems with periodical and/or oscillating solutions. Zbl 1425.65072
Alolyan, Ibraheem; Simos, T. E.
2
2018
A new three-stages six-step finite difference pair with optimal phase properties for second order initial and/or boundary value problems with periodical and/or oscillating solutions. Zbl 1447.81114
Medvedev, Maxim A.; Simos, T. E.
2
2018
New 8-step symmetric embedded predictor-corrector (EPCM) method with vanished phase-lag and its first derivative for the numerical integration of the Schrödinger equation. Zbl 1411.81088
Stasinos, P. I.; Simos, Theodore E.
1
2018
New three-stages symmetric six-step finite difference method with vanished phase-lag and its derivatives up to sixth derivative for second order initial and/or boundary value problems with periodical and/or oscillating solutions. Zbl 1402.81123
Alolyan, Ibraheem; Simos, T. E.
1
2018
An economical eighth-order method for the approximation of the solution of the Schrödinger equation. Zbl 1422.65115
Wang, Zhiwei; Simos, T. E.
65
2017
Evolutionary generation of high-order, explicit, two-step methods for second-order linear IVPs. Zbl 1387.65066
Simos, T. E.; Tsitouras, Ch.
50
2017
Explicit Numerov type methods with constant coefficients: a review. Zbl 1387.65065
Simos, T. E.; Tsitouras, Ch.; Famelis, I. Th.
49
2017
Modified two-step hybrid methods for the numerical integration of oscillatory problems. Zbl 1383.65074
Monovasilis, T.; Kalogiratou, Z.; Ramos, Higinio; Simos, T. E.
49
2017
Phase-fitted Runge-Kutta pairs of orders 8(7). Zbl 1366.65071
Tsitouras, Ch.; Famelis, I. Th.; Simos, T. E.
49
2017
A new family of 7 stages, eighth-order explicit Numerov-type methods. Zbl 1387.65067
Simos, T. E.; Tsitouras, Ch.
41
2017
An efficient and computational effective method for second order problems. Zbl 1422.65113
Ma, Jing; Simos, T. E.
33
2017
An efficient and economical high order method for the numerical approximation of the Schrödinger equation. Zbl 1383.65083
Yang, Lan; Simos, T. E.
21
2017
A new two stages tenth algebraic order symmetric six-step method with vanished phase-lag and its first and second derivatives for the solution of the radial Schrödinger equation and related problems. Zbl 1359.65105
Alolyan, Ibraheem; Simos, T. E.
13
2017
Two stages six-step method with eliminated phase-lag and its first, second, third and fourth derivatives for the approximation of the Schrödinger equation. Zbl 1383.65080
Medvedev, Maxim A.; Simos, T. E.
11
2017
New two stages high order symmetric six-step method with vanished phase-lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation. Zbl 1384.65047
Alolyan, Ibraheem; Simos, T. E.
11
2017
High order computationally economical six-step method with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation. Zbl 1383.65078
Berg, Dmitriy B.; Simos, T. E.
10
2017
Three stages symmetric six-step method with eliminated phase-lag and its derivatives for the solution of the Schrödinger equation. Zbl 1422.65111
Berg, Dmitriy B.; Simos, T. E.
10
2017
An efficient six-step method for the solution of the Schrödinger equation. Zbl 1422.65112
Berg, Dmitriy B.; Simos, T. E.
8
2017
A new fourteenth algebraic order finite difference method for the approximate solution of the Schrödinger equation. Zbl 1422.65329
Zhao, Jianbin; Simos, T. E.
1
2017
...and 270 more Documents
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Cited by 596 Authors

252 Simos, Theodore E.
30 Alolyan, Ibraheem
30 Fang, Yonglei
30 Tsitouras, Charalampos
26 You, Xiong
24 Vigo-Aguiar, Jesus
23 Wu, Xinyuan
21 Anastassi, Zacharias A.
21 Ramos, Higinio
19 Franco, J. Méndez
16 Ismail, Fudziah Bt.
16 Senu, Norazak
15 Van Daele, Marnix
15 Van de Vyver, Hans
15 Vanden Berghe, Guido
14 Kalogiratou, Zacharoula
14 Lin, Chialiang
14 Rández, Luis
13 Medvedev, Maxim A.
12 Li, Jiyong
12 Paternoster, Beatrice
12 Wang, Bin
11 Ixaru, Liviu Gr.
11 Jator, Samuel N.
11 Wang, Zhongcheng
9 Calvo, Manuel
9 Konguetsof, Avrilia
9 Liu, Chenglian
8 De Meyer, Hans E.
8 Khalsaraei, Mohammad Mehdizadeh
8 Li, Qinghong
8 Yang, Yanping
7 Dai, Yongming
7 Famelis, Ioannis Th.
7 Medvedeva, Marina A.
7 Montijano, Juan Ignacio
7 Suleiman, Mohamed Bin
6 D’Ambrosio, Raffaele
6 Panopoulos, G. A.
6 Shi, Wei
6 Vlachos, D. S.
6 Zheng, Juan
5 Ahmad, Sufia Zulfa
5 Avdelas, George
5 Chen, Bingzhen
5 Chen, Zhaoxia
5 Fedorov, Ruslan V.
5 Garcia-Rubio, Raquel
5 Kosti, Athinoula A.
5 Kovalnogov, Vladislav N.
5 Liu, Shiwei
5 Ming, Qinghe
5 Monovasilis, Theodoros
5 Ngwane, Fidele F.
5 Okunuga, Solomon A.
5 Papageorgiou, George
5 Singh, Gurjinder
5 Zhai, Wenjuan
4 Berg, Dmitry B.
4 Conte, Dajana
4 Erdoğan, Utku
4 Kalvouridis, Tilemahos J.
4 Martín-Vaquero, Jesús
4 Ozawa, Kazufumi
4 Witwit, M. R. M.
4 Yang, Hongli
3 Abdulganiy, Ridwanulahi Iyanda
3 Brugnano, Luigi
3 Ding, Peizhu
3 Ehigie, Julius Osato
3 Esposito, Elena
3 García Guirao, Juan Luis
3 Hsu, Chieh-Wen
3 Iavernaro, Felice
3 Khan, Ishtiaq Rasool
3 Liu, Xueshen
3 Mohanty, Ranjan Kumar
3 Neta, Beny
3 Ohba, Ryoji
3 Papadopoulos, D. F.
3 Rufai, Mufutau Ajani
3 Sakas, D. P.
3 Sideridis, A. B.
3 Wang, Zenggui
3 Williams, P. S.
3 Wu, Dongmei
3 Yildirim, Ozgur
3 Zhang, Yanwei
2 Achar, Sujatha D.
2 Ahmad, Nur Amirah
2 Akinfenwa, Olusheye Aremu Akin
2 Alonso, Pedro
2 Alvarez, Jorge
2 Biswas, Amitava
2 Chen, Zhanqing
2 Chen, Zhong
2 Dai, Weizhong
2 Deb, Anish
2 Demiralp, Metin
2 Deng, Shuo
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Cited in 100 Serials

187 Journal of Mathematical Chemistry
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12 Applied Mathematics Letters
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9 Discrete Dynamics in Nature and Society
9 Mediterranean Journal of Mathematics
8 Japan Journal of Industrial and Applied Mathematics
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3 Calcolo
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2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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