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ORCIDTheodore E. Simos
Tom E. Simos – T. E. Simos
Person information
- affiliation: University of Peloponnese, Department of Computer Science and Technology
- affiliation: King Saud University, Department of Mathematics
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2020 – today
- 2024
[j99]Theodore E. Simos
:
A New Methodology for the Development of Efficient Multistep Methods for First-Order Initial Value Problems with Oscillating Solutions: III the Role of the Derivative of the Phase Lag and the Derivative of the Amplification Factor. Axioms 13(8): 514 (2024)- [j98]Theodore E. Simos:
A New Methodology for the Development of Efficient Multistep Methods for First-Order IVPs with Oscillating Solutions IV: The Case of the Backward Differentiation Formulae. Axioms 13(9): 649 (2024) - [j97]Vladislav N. Kovalnogov, Ruslan V. Fedorov, M. T. Karpukhina, M. I. Kornilova, T. E. Simos, Charalampos Tsitouras:
Economical handling of Runge-Kutta-Nyström step rejection. J. Comput. Appl. Math. 438: 115528 (2024) - [j96]Vladislav N. Kovalnogov, Ruslan V. Fedorov, Tamara V. Karpukhina, Theodore E. Simos, Charalampos Tsitouras:
Runge-Kutta pairs of orders 9(8) for use in quadruple precision computations. Numer. Algorithms 95(4): 1905-1919 (2024) - [j95]Theodore E. Simos:
Efficient Multistep Algorithms for First-Order IVPs with Oscillating Solutions: II Implicit and Predictor-Corrector Algorithms. Symmetry 16(5): 508 (2024) - 2023
- [j94]Vladislav N. Kovalnogov, Ruslan V. Fedorov, M. T. Karpukhina, M. I. Kornilova, T. E. Simos, Charalampos Tsitouras:
Runge-Kutta-Nyström methods of eighth order for addressing Linear Inhomogeneous problems. J. Comput. Appl. Math. 419: 114778 (2023) - [j93]Theodore E. Simos, Vasilios N. Katsikis, Spyridon D. Mourtas, Predrag S. Stanimirovic:
Solving Time-Varying Nonsymmetric Algebraic Riccati Equations With Zeroing Neural Dynamics. IEEE Trans. Syst. Man Cybern. Syst. 53(10): 6575-6587 (2023) - 2022
- [b1]Theodore E. Simos:
Numerical Solution of the Schrödinger Equation - Numerical Methods for Problems with Periodic or Oscillating Solution. Computational, Numerical and Mathematical Methods in Sciences and Engineering 2, WorldScientific 2022, ISBN 9781860946974, pp. 1-500 - [j92]Theodore E. Simos, Vasilios N. Katsikis, Spyridon D. Mourtas:
A multi-input with multi-function activated weights and structure determination neuronet for classification problems and applications in firm fraud and loan approval. Appl. Soft Comput. 127: 109351 (2022) - [j91]Theodore E. Simos, Vasilios N. Katsikis, Spyridon D. Mourtas, Predrag S. Stanimirovic, Dimitrios Gerontitis:
A higher-order zeroing neural network for pseudoinversion of an arbitrary time-varying matrix with applications to mobile object localization. Inf. Sci. 600: 226-238 (2022) - [j90]Theodore E. Simos, Charalampos Tsitouras:
On high order Runge-Kutta-Nyström pairs. J. Comput. Appl. Math. 400: 113753 (2022) - [j89]Theodore E. Simos, Vasilios N. Katsikis, Spyridon D. Mourtas, Predrag S. Stanimirovic:
Finite-time convergent zeroing neural network for solving time-varying algebraic Riccati equations. J. Frankl. Inst. 359(18): 10867-10883 (2022) - [j88]Theodore E. Simos, Vasilios N. Katsikis, Spyridon D. Mourtas:
Multi-input bio-inspired weights and structure determination neuronet with applications in European Central Bank publications. Math. Comput. Simul. 193: 451-465 (2022) - [j87]Theodore E. Simos, Vasilios N. Katsikis, Spyridon D. Mourtas, Predrag S. Stanimirovic:
Unique non-negative definite solution of the time-varying algebraic Riccati equations with applications to stabilization of LTV systems. Math. Comput. Simul. 202: 164-180 (2022) - [j86]T. E. Simos, Ioannis Th. Famelis:
A neural network training algorithm for singular perturbation boundary value problems. Neural Comput. Appl. 34(1): 607-615 (2022) - [j85]Theodore E. Simos, Vasilios N. Katsikis, Spyridon D. Mourtas:
A fuzzy WASD neuronet with application in breast cancer prediction. Neural Comput. Appl. 34(4): 3019-3031 (2022) - 2021
- [j84]Theodore E. Simos, Spyridon D. Mourtas, Vasilios N. Katsikis:
Time-varying Black-Litterman portfolio optimization using a bio-inspired approach and neuronets. Appl. Soft Comput. 112: 107767 (2021) - [j83]Dia Zeidan, Theodore E. Simos, Charis Harley, Ashoke De, Eric Goncalvès:
Preface to special issue of selected papers from the 13th International Symposium on Numerical Analysis of Fluid Flow, Heat and Mass Transfer - Numerical Fluids 2018. Comput. Math. Appl. 83: 1-3 (2021) - [j82]T. E. Simos, Charalampos Tsitouras:
Evolutionary derivation of Runge-Kutta pairs for addressing inhomogeneous linear problems. Numer. Algorithms 87(2): 511-525 (2021) - [j81]T. E. Simos, Charalampos Tsitouras:
Efficiently inaccurate approximation of hyperbolic tangent used as transfer function in artificial neural networks. Neural Comput. Appl. 33(16): 10227-10233 (2021)
2010 – 2019
- 2019
- [j80]Remigiusz Wisniewski, Grzegorz Benysek, Luís Gomes, Dariusz Kania, Theodore E. Simos, Mengchu Zhou:
IEEE Access Special Section: Cyber-Physical Systems. IEEE Access 7: 157688-157692 (2019) - 2018
- [j79]Theodore E. Simos, Mike G. Tsionas:
Bayesian inference of the fractional Ornstein-Uhlenbeck process under a flow sampling scheme. Comput. Stat. 33(4): 1687-1713 (2018) - [j78]Theodoros Monovasilis, Zacharoula Kalogiratou, T. E. Simos:
Trigonometrical fitting conditions for two derivative Runge-Kutta methods. Numer. Algorithms 79(3): 787-800 (2018) - 2017
- [j77]Charalampos Tsitouras, Ioannis Th. Famelis, T. E. Simos:
Phase-fitted Runge-Kutta pairs of orders 8(7). J. Comput. Appl. Math. 321: 226-231 (2017) - 2016
- [j76]Dia Zeidan, Theodore E. Simos:
Preface to special issue of selected papers from the 9th International Symposium on Numerical Analysis of Fluid Flow and Heat Transfer - Numerical Fluids 2014. Appl. Math. Comput. 272: 581 (2016) - [j75]Zacharoula Kalogiratou, Theodoros Monovasilis, Higinio Ramos, T. E. Simos:
A new approach on the construction of trigonometrically fitted two step hybrid methods. J. Comput. Appl. Math. 303: 146-155 (2016) - [j74]Higinio Ramos, Zacharoula Kalogiratou, Theodoros Monovasilis, T. E. Simos:
An optimized two-step hybrid block method for solving general second order initial-value problems. Numer. Algorithms 72(4): 1089-1102 (2016) - 2015
- [j73]Hang Ning, T. E. Simos:
High algebraic order Runge-Kutta type two-step method with vanished phase-lag and its first, second, third, fourth, fifth and sixth derivatives. Comput. Phys. Commun. 196: 226-235 (2015) - [j72]Georgios Panopoulos, T. E. Simos:
An eight-step semi-embedded predictor-corrector method for orbital problems and related IVPs with oscillatory solutions for which the frequency is unknown. J. Comput. Appl. Math. 290: 1-15 (2015) - 2014
- [j71]Georgios Panopoulos, T. E. Simos:
A new phase-fitted eight-step symmetric embedded predictor-corrector method (EPCM) for orbital problems and related IVPs with oscillating solutions. Comput. Phys. Commun. 185(2): 512-523 (2014) - [j70]Zacharoula Kalogiratou, Theodoros Monovasilis, Theodore E. Simos:
A fourth order modified trigonometrically fitted symplectic Runge-Kutta-Nyström method. Comput. Phys. Commun. 185(12): 3151-3155 (2014) - 2012
- [j69]Ibraheem Alolyan, Zacharias A. Anastassi, Tom E. Simos:
A new family of symmetric linear four-step methods for the efficient integration of the Schrödinger equation and related oscillatory problems. Appl. Math. Comput. 218(9): 5370-5382 (2012) - [j68]Pawel Kosinski, Theodore E. Simos:
Special issue on Numerical Analysis of Fluid Flow and Heat Transfer: Preface. Appl. Math. Comput. 219(7): 3291 (2012) - [j67]Athinoula Kosti, Zacharias A. Anastassi, Tom E. Simos:
An optimized explicit Runge-Kutta-Nyström method for the numerical solution of orbital and related periodical initial value problems. Comput. Phys. Commun. 183(3): 470-479 (2012) - [j66]Theodore E. Simos:
Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag. J. Appl. Math. 2012: 420387:1-420387:17 (2012) - [j65]Zacharias A. Anastassi, Tom E. Simos:
A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems. J. Comput. Appl. Math. 236(16): 3880-3889 (2012) - 2011
- [j64]Pawel Kosinski, Theodore E. Simos:
Preface. Appl. Math. Comput. 217(11): 5015 (2011) - [j63]Athinoula Kosti, Zacharias A. Anastassi, Tom E. Simos:
Construction of an optimized explicit Runge-Kutta-Nyström method for the numerical solution of oscillatory initial value problems. Comput. Math. Appl. 61(11): 3381-3390 (2011) - [j62]Charalampos Tsitouras, Ioannis Th. Famelis, T. E. Simos:
On modified Runge-Kutta trees and methods. Comput. Math. Appl. 62(4): 2101-2111 (2011) - [j61]Ibraheem Alolyan, T. E. Simos:
A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation. Comput. Math. Appl. 62(10): 3756-3774 (2011) - [j60]Georgios Panopoulos, Zacharias A. Anastassi, Theodore E. Simos:
A symmetric eight-step predictor-corrector method for the numerical solution of the radial Schrödinger equation and related IVPs with oscillating solutions. Comput. Phys. Commun. 182(8): 1626-1637 (2011) - 2010
- [j59]Zacharoula Kalogiratou, Theodoros Monovasilis, T. E. Simos:
New modified Runge-Kutta-Nyström methods for the numerical integration of the Schrödinger equation. Comput. Math. Appl. 60(6): 1639-1647 (2010) - [j58]Theodoros Monovasilis, Zacharoula Kalogiratou, Tom E. Simos:
Symplectic Partitioned Runge-Kutta methods with minimal phase-lag. Comput. Phys. Commun. 181(7): 1251-1254 (2010) - [j57]Stavros Stavroyiannis, T. E. Simos:
A nonlinear explicit two-step fourth algebraic order method of order infinity for linear periodic initial value problems. Comput. Phys. Commun. 181(8): 1362-1368 (2010) - [j56]Christos Christodouleas, Demetrios Xenides, Theodore E. Simos:
Trends of the bonding effect on the performance of DFT methods in electric properties calculations: A pattern recognition and metric space approach on some XY2 (X = O, S and Y = H, O, F, S, Cl) molecules. J. Comput. Chem. 31(2): 412-420 (2010) - [j55]T. E. Simos, G. Psihoyios, Zacharias A. Anastassi:
Preface. Math. Comput. Model. 51(3-4): 137 (2010) - [j54]D. S. Vlachos, Tom E. Simos:
Algorithm 901: LMEF - A program for the construction of linear multistep methods with exponential fitting for the numerical solution of ordinary differential equations. ACM Trans. Math. Softw. 37(1): 12:1-12:10 (2010)
2000 – 2009
- 2009
- [j53]Tom E. Simos:
Preface. Appl. Math. Comput. 209(1): 1 (2009) - [j52]Theodoros Monovasilis, Zacharoula Kalogiratou, T. E. Simos:
A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods. Appl. Math. Comput. 209(1): 91-96 (2009) - [j51]T. E. Simos:
High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation. Appl. Math. Comput. 209(1): 137-151 (2009) - [j50]T. E. Simos:
Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems. Appl. Math. Lett. 22(10): 1616-1621 (2009) - [j49]Zacharoula Kalogiratou, Theodoros Monovasilis, Tom E. Simos:
Computation of the eigenvalues of the Schrödinger equation by exponentially-fitted Runge-Kutta-Nyström methods. Comput. Phys. Commun. 180(2): 167-176 (2009) - [j48]T. E. Simos:
P-stability, Trigonometric-fitting and the numerical solution of the radial Schrödinger equation. Comput. Phys. Commun. 180(7): 1072-1085 (2009) - [j47]D. F. Papadopoulos, Zacharias A. Anastassi, T. E. Simos:
A phase-fitted Runge-Kutta-Nyström method for the numerical solution of initial value problems with oscillating solutions. Comput. Phys. Commun. 180(10): 1839-1846 (2009) - 2008
- [j46]T. E. Simos:
High-order closed Newton-Cotes trigonometrically-fitted formulae for long-time integration of orbital problems. Comput. Phys. Commun. 178(3): 199-207 (2008) - 2007
- [j45]T. E. Simos, G. Psihoyios:
Preface. Appl. Math. Comput. 184(1): 1 (2007) - [j44]Theodoros Monovasilis, Zacharoula Kalogiratou, T. E. Simos:
Families of third and fourth algebraic order trigonometrically fitted symplectic methods for the numerical integration of Hamiltonian systems. Comput. Phys. Commun. 177(10): 757-763 (2007) - [j43]Tom E. Simos, Dimitrios D. Thomakos, Fragiskos A. Batzias:
Preface. Math. Comput. Model. 46(1-2): 1 (2007) - 2006
- [j42]D. S. Vlachos, T. E. Simos:
PDSW: A program for the calculation of photon energy distribution resulting from radioactive elements in seawater. Comput. Phys. Commun. 174(5): 391-395 (2006) - 2005
- [j41]E. G. Varagouli, Theodore E. Simos, G. S. Xeidakis:
Fitting a multiple regression line to travel demand forecasting: The case of the prefecture of Xanthi, Northern Greece. Math. Comput. Model. 42(7-8): 817-836 (2005) - [j40]Zacharias A. Anastassi, Theodore E. Simos:
Trigonometrically fitted fifth-order runge-kutta methods for the numerical solution of the schrödinger equation. Math. Comput. Model. 42(7-8): 877-886 (2005) - [j39]George Psihoyios, Theodore E. Simos:
A new trigonometrically-fitted sixth algebraic order P-C algorithm for the numerical solution of the radial schrödinger equation. Math. Comput. Model. 42(7-8): 887-902 (2005) - [j38]D. P. Sakas, Theodore E. Simos:
A fifth algebraic order trigonometrically-fitted modified runge-kutta zonneveld method for the numerical solution of orbital problems. Math. Comput. Model. 42(7-8): 903-920 (2005) - [j37]Theodore E. Simos, Jesús Vigo-Aguiar:
Preface. Math. Comput. Model. 42(7-8): xiii (2005) - 2004
- [j36]T. E. Simos:
Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution. Appl. Math. Lett. 17(5): 601-607 (2004) - [j35]Theodore E. Simos:
Editorial. J. Comput. Methods Sci. Eng. 4(1-2): 1 (2004) - [j34]Theodore E. Simos:
A trigonometrically-fitted method for long-time integration of orbital problems. Math. Comput. Model. 40(11-12): 1263-1272 (2004) - [j33]Theodore E. Simos, Ian Gladwell:
Preface. Math. Comput. Model. 40(11-12): xiii (2004) - 2003
- [j32]Tom E. Simos, Ioannis Th. Famelis, Charalampos Tsitouras:
Zero Dissipative, Explicit Numerov-Type Methods for Second Order IVPs with Oscillating Solutions. Numer. Algorithms 34(1): 27-40 (2003) - 2002
- [j31]Charalampos Tsitouras, T. E. Simos:
High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems. Appl. Math. Comput. 131(1): 201-211 (2002) - [j30]Tom E. Simos:
Exponentially-fitted Runge-Kutta-Nystro"m method for the numerical solution of initial-value problems with oscillating solutions. Appl. Math. Lett. 15(2): 217-225 (2002) - [j29]Avrilia Konguetsof, Tom E. Simos:
P-stable Eighth Algebraic Order Methods for the Numerical Solution of the Schrödinger Equation. Comput. Chem. 26(2): 105-111 (2002) - 2001
- [j28]Tom E. Simos:
Preface. Comput. Chem. 25(1): 1 (2001) - [j27]George Avdelas, Tom E. Simos:
On Variable-step Methods for the Numerical Solution of Schrödinger Equation and Related Problems. Comput. Chem. 25(1): 3-13 (2001) - [j26]Tom E. Simos, Paul Stefan Williams:
New Insights in the Development of Numerov-type Methods with Minimal Phase-lag for the Numerical Solution of the Schrödinger Equation. Comput. Chem. 25(1): 77-82 (2001) - [j25]Tom E. Simos, Paul Stefan Williams:
Dissipative Exponentially-fitted Methods for the Numerical Solution of the Schrödinger Equation. Comput. Chem. 25(3): 261-273 (2001) - [j24]Tom E. Simos, Jesús Vigo-Aguiar:
A Modified Runge-Kutta Method with Phase-lag of Order Infinity for the Numerical Solution of the Schrödinger Equation and Related Problems. Comput. Chem. 25(3): 275-281 (2001) - [j23]Tom E. Simos:
A Dissipative Exponentially-Fitted Method for the Numerical Solution of the Schrödinger Equation. J. Chem. Inf. Comput. Sci. 41(4): 909-917 (2001) - 2000
- [j22]Zacharoula Kalogiratou, T. E. Simos:
A P-stable exponentially fitted method for the numerical integration of the Schrödinger equation. Appl. Math. Comput. 112(1): 99-112 (2000) - [j21]George Avdelas, Avrilia Konguetsof, Tom E. Simos:
A Generalization of Numerov's Method for the Numerical Solution of the Schrödinger Equation in Two Dimensions. Comput. Chem. 24(5): 577-584 (2000)
1990 – 1999
- 1999
- [j20]T. E. Simos:
Explicit exponentially fitted methods for the numerical solution of the Schrödinger equation. Appl. Math. Comput. 98(2-3): 185-198 (1999) - [j19]T. E. Simos:
A new finite difference scheme with minimal phase-lag for the numerical solution of the Schrödinger equation. Appl. Math. Comput. 106(2-3): 245-264 (1999) - [j18]Tom E. Simos:
An Expert System for the Numerical Solution of the Radial Schrödinger Equation. Comput. Chem. 23(1): 1-7 (1999) - [j17]Tom E. Simos:
Dissipative High Phase-lag Order Numerov-type Methods for the Numerical Solution of the Schrödinger Equation. Comput. Chem. 23(5): 439-446 (1999) - [j16]Tom E. Simos, Paul Stefan Williams:
On Finite Difference Methods for the Solution of the Schrödinger Equation. Comput. Chem. 23(6): 513-554 (1999) - [c5]Avrilia Konguetsof, George Avdelas, Tom E. Simos:
A Generalization of Numerov's Method for the Numerical Solution of the Schrödinger Equation in Two Dimensions. PDPTA 1999: 259-264 - [c4]George Avdelas, Tom E. Simos:
A Generator of P-stable Hybrid Methods. PDPTA 1999: 265-272 - 1998
- [j15]Charalampos Tsitouras, Theodore E. Simos:
Explicit high order methods for the numerical integration of periodic initial-value problems. Appl. Math. Comput. 95(1): 15-26 (1998) - [j14]Tom E. Simos, Paul Stefan Williams:
Computer Algebra Programmes for the Construction of a Family of Numerov-type Exponentially-fitted Methods for the Numerical Solution of the Schrödinger Equation. Comput. Chem. 22(2-3): 185-218 (1998) - [j13]Tom E. Simos:
New Embedded Explicit Methods with Minimal Phase-lag for the Numerical Integration of the Schrödinger Equation. Comput. Chem. 22(5): 433-440 (1998) - [j12]Tom E. Simos:
An Eighth Order Exponentially-fitted Method for the Numerical Integration of the Schrödinger Equation. Comput. Chem. 22(6): 467-489 (1998) - [j11]T. E. Simos:
Some Modified Runge-Kutta Methods for the Numerical Solution of Initial-Value Problems with Oscillating Solutions. J. Sci. Comput. 13(1): 51-63 (1998) - 1997
- [j10]Tom E. Simos:
Accurate Computations for the Elastic Scattering Phase-shift Problem. Comput. Chem. 21(2): 125-128 (1997) - [j9]Tom E. Simos, Paul Stefan Williams:
Bessel and Neumann-fitted Methods for the Numerical Solution of the Radial Schrödinger Equation. Comput. Chem. 21(3): 175-179 (1997) - [j8]Tom E. Simos, G. Tougelidis:
An Explicit Eighth-order Method with Minimal Phase-lag for Accurate Computations of Eigenvalues, Resonances and Phase Shifts. Comput. Chem. 21(5): 327-334 (1997) - [j7]Tom E. Simos, Paul Stefan Williams:
A Family of Numerov-type Exponentially Fitted Methods for the Numerical Integration of the Schrödinger Equation. Comput. Chem. 21(6): 403-417 (1997) - [j6]Tom E. Simos:
An Exponentially Fitted Method for the Numerical Solution of the Schrödinger Equation. J. Chem. Inf. Comput. Sci. 37(2): 343-348 (1997) - 1996
- [j5]Tom E. Simos, G. Tougelidis:
A Numerov-type Method for Computing Eigenvalues and Resonances of the Radial Schrödinger Equation. Comput. Chem. 20(4): 397-401 (1996) - [c3]G. Papakaliatakis, Tom E. Simos:
Integration of Some Constitutive Relations of Plain Strain Alastoplasticity Using Modified Runge-Kutta Methods. WNAA 1996: 365-372 - [c2]Tom E. Simos, Paul Stefan Williams:
Bessel and Neumann Fitted Methods for the Numerical Solution of the Schrödinger Equation. WNAA 1996: 442-449 - [c1]Paul Stefan Williams, Tom E. Simos:
Two-Step P-stable Methods with Phase-Lag of Order Infinity for the Numerical Solution of Special Second Order Initial Value Problems. WNAA 1996: 565-572 - 1994
- [j4]T. E. Simos:
Efficient Parallel Methods for Special Second Order Ordinary Differential Equations. Parallel Algorithms Appl. 2(4): 245-250 (1994) - 1993
- [j3]T. E. Simos, Alexander B. Sideridis:
Accurate numerical approximations to initial value problems with periodical solutions. Computing 50(1): 87-92 (1993) - 1991
- [j2]T. E. Simos:
A two-step method with phase-lag of order infinity for the numerical integration of second order periodic initial-value problem. Int. J. Comput. Math. 39(1-2): 135-140 (1991) - 1990
- [j1]Theodore E. Simos, A. D. Raptis:
Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional Schrödinger equation. Computing 45(2): 175-181 (1990)
Coauthor Index
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