Follow
Theodore E. Simos
Theodore E. Simos
South Ural State University, 76, Lenin Aven., Chelyabinsk, Russia 454080, Ural Federal University
Verified email at susu.ru
Title
Cited by
Cited by
Year
A finite-difference method for the numerical solution of the Schrödinger equation
TE Simos, PS Williams
Journal of Computational and Applied Mathematics 79 (2), 189-205, 1997
2511997
An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
TE Simos
Computer Physics Communications 115 (1), 1-8, 1998
2181998
A four-step phase-fitted method for the numerical integration of second order initial-value problems
AD Raptis, TE Simos
BIT Numerical Mathematics 31, 160-168, 1991
2171991
An optimized Runge–Kutta method for the solution of orbital problems
ZA Anastassi, TE Simos
Journal of Computational and Applied Mathematics 175 (1), 1-9, 2005
1952005
On finite difference methods for the solution of the Schrödinger equation
TE Simos, PS Williams
Computers & chemistry 23 (6), 513-554, 1999
1951999
Runge–Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics
K Tselios, TE Simos
Journal of Computational and Applied Mathematics 175 (1), 173-181, 2005
1822005
Newton–Cotes formulae for long-time integration
Z Kalogiratou, TE Simos
Journal of Computational and Applied Mathematics 158 (1), 75-82, 2003
1772003
High order closed Newton–Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation
TE Simos
Applied Mathematics and Computation 209 (1), 137-151, 2009
1762009
Trigonometrically fitted predictor–corrector methods for IVPs with oscillating solutions
G Psihoyios, TE Simos
Journal of Computational and Applied Mathematics 158 (1), 135-144, 2003
1742003
New modified Runge–Kutta–Nyström methods for the numerical integration of the Schrödinger equation
Z Kalogiratou, T Monovasilis, TE Simos
Computers & Mathematics with Applications 60 (6), 1639-1647, 2010
1722010
A fourth algebraic order trigonometrically fitted predictor–corrector scheme for IVPs with oscillating solutions
G Psihoyios, TE Simos
Journal of Computational and Applied Mathematics 175 (1), 137-147, 2005
1712005
Closed Newton–Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems
TE Simos
Applied Mathematics Letters 22 (10), 1616-1621, 2009
1702009
A parametric symmetric linear four-step method for the efficient integration of the Schrödinger equation and related oscillatory problems
ZA Anastassi, TE Simos
Journal of Computational and Applied Mathematics 236 (16), 3880-3889, 2012
1692012
Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation
TE Simos
Acta Applicandae Mathematicae 110, 1331-1352, 2010
1682010
Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation
DP Sakas, TE Simos
Journal of Computational and Applied Mathematics 175 (1), 161-172, 2005
1682005
An optimized two-step hybrid block method for solving general second order initial-value problems
H Ramos, Z Kalogiratou, T Monovasilis, TE Simos
Numerical Algorithms 72, 1089-1102, 2016
1662016
Construction of an optimized explicit Runge–Kutta–Nyström method for the numerical solution of oscillatory initial value problems
AA Kosti, ZA Anastassi, TE Simos
Computers & Mathematics with Applications 61 (11), 3381-3390, 2011
1652011
Symplectic integrators for the numerical solution of the Schrödinger equation
Z Kalogiratou, T Monovasilis, TE Simos
Journal of Computational and Applied Mathematics 158 (1), 83-92, 2003
1652003
Optimization as a function of the phase-lag order of nonlinear explicit two-step P-stable method for linear periodic IVPs
S Stavroyiannis, TE Simos
Applied Numerical Mathematics 59 (10), 2467-2474, 2009
1642009
Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution
TE Simos
Applied Mathematics Letters 17 (5), 601-607, 2004
1612004
The system can't perform the operation now. Try again later.
Articles 1–20