T. Simos

发表

A new four stages symmetric two-step method with vanished phase-lag and its first derivative for the numerical integration of the Schrödinger equation

Minjian Liang, T. Simos, Minjian Liang, 2016, Journal of Mathematical Chemistry.

Symplectic Partitioned Runge-Kutta Methods for the Numerical Integration of Periodic and Oscillatory Problems

T. Monovasilis, Z. Kalogiratou, T. Simos, 2011 .

A High-Order Two-Step Phase-Fitted Method for the Numerical Solution of the Schrödinger Equation

Wei Zhang, T. Simos, 2016, Mediterranean Journal of Mathematics.

An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions

T. E. Simos, Tom E. Simos, T. Simos, 1998 .

An accurate finite difference method for the numerical solution of the Schro¨dinger equation

Tom E. Simos, T. Simos, 1998 .

A variable‐step algorithm for computing eigenvalues of the radial Schrödinger equation

G. Tougelidis, Tom E. Simos, G. Tougelidis, 1996 .

High order closed Newton-Cotes exponentially and trigonometrically fitted formulae as multilayer symplectic integrators and their application to the radial Schrödinger equation

T. E. Simos, T. Simos, 2012, Journal of Mathematical Chemistry.

Closed Newton–Cotes trigonometrically-fitted formulae of high order for the numerical integration of the Schrödinger equation

T. E. Simos, T. Simos, 2008 .

A four-step exponentially fitted method for the numerical solution of the Schrödinger equation

T. E. Simos, T. Simos, 2006 .

A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation

T. E. Simos, Tom E. Simos, T. Simos, 2005 .

A family of multiderivative methods for the numerical solution of the Schrödinger equation

D. P. Sakas, Tom E. Simos, D. Sakas, 2005 .

Multiderivative methods of eighth algebraic order with minimal phase-lag for the numerical solution of the radial Schrödinger equation

D. P. Sakas, Tom E. Simos, D. Sakas, 2005 .

Exponentially - Fitted Multiderivative Methods for the Numerical Solution of the Schrödinger Equation

T. E. Simos, Tom E. Simos, T. Simos, 2004 .

A new family of exponentially fitted methods

Tom E. Simos, P. S. Williams, T. Simos, 2003 .

A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems

Jesús Vigo-Aguiar, Tom E. Simos, J. Vigo-Aguiar, 2003 .

A generator of dissipative methods for the numerical solution of the Schrödinger equation

A. Konguetsof, T. Simos, George Avdelas, 2002 .

New P-Stable Eighth Algebraic Order Exponentially-Fitted Methods for the Numerical Integration of the Schrödinger Equation

T. E. Simos, G. Avdelas, T. Simos, 2002 .

New P-stable exponentially-fitted methods for the numerical solution of the Schrödinger equation

G. Avdelas, T. Simos, E. Kefalidis, 2001 .

A Modified Phase-Fitted Runge–Kutta Method for the Numerical Solution of the Schrödinger Equation

Tom E. Simos, Jesus Vigo Aguiar, T. Simos, 2001 .

Exponentially fitted Runge-Kutta methods for the numerical solution of the Schrödinger equation and related problems

T. E. Simos, Tom E. Simos, T. Simos, 2000 .

AN EMBEDDED RUNGE–KUTTA METHOD WITH PHASE-LAG OF ORDER INFINITY FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION

Tom E. Simos, T. Simos, 2000 .

An exponentially fitted eighth-order method for the numerical solution of the Schrödinger equation

T. E. Simos, T. Simos, 1999 .

High Algebraic Order Methods for the Numerical Solution of the Schrödinger Equation

T. Simos, 1999 .

A family of P-stable exponentially‐fitted methods for the numerical solution of the Schrödinger equation

T. E. Simos, Tom E. Simos, T. Simos, 1999 .

HIGH ALGEBRAIC ORDER EXPLICIT METHODS WITH REDUCED PHASE-LAG FOR AN EFFICIENT SOLUTION OF THE SCHRODINGER EQUATION

T. Simos, 1999 .

High Algebraic Order Methods with Minimal Phase-Lag for Accurate Solution of the Schrödinger Equation

T. Simos, 1998 .

A new hybrid imbedded variable-step procedure for the numerical integration of the Schrödinger equation

T. E. Simos, T. Simos, 1998 .

An Eighth Order Exponentially Fitted Method for the Numerical Solution of the Schrödinger Equation

T. Simos, 1998 .

EIGHTH-ORDER METHOD FOR ACCURATE COMPUTATIONS FOR THE ELASTIC SCATTERING PHASE-SHIFT PROBLEM

T. Simos, 1998 .

A finite-difference method for the numerical solution of the Schro¨dinger equation

Tom E. Simos, P. S. Williams, T. Simos, 1997 .

Eighth-order methods for elastic scattering phase shifts

Tom E. Simos, T. Simos, 1997 .

An explicit four-step phase-fitted method for the numerical integration of second-order initial-value problems

Tom E. Simos, T. Simos, 1994 .

A four-step phase-fitted method for the numerical integration of second order initial-value problems

A. D. Raptis, Tom E. Simos, T. Simos, 1991 .

A Numerov-type method for the numerical solution of the radial Schro¨dinger equation

Tom E. Simos, T. Simos, 1991 .

An optimized explicit Runge-Kutta method with increased phase-lag order for the numerical solution of the Schrödinger equation and related problems

A. A. Kosti, Zacharias A. Anastassi, Tom E. Simos, 2009 .

Reflection of femtosecond optical pulses from multiple-layer dielectric mirrors--Analysis

D. Christodoulides, R. Joseph, E. Bourkoff, 1986 .

Symplectic integrators for the numerical solution of the Schrödinger equation

T. Monovasilis, Z. Kalogiratou, T. Simos, 2003 .

A new four-step Runge–Kutta type method with vanished phase-lag and its first, second and third derivatives for the numerical solution of the Schrödinger equation

T. E. Simos, I. Alolyan, T. Simos, 2013, Journal of Mathematical Chemistry.

Explicit, ninth order, two step methods for solving inhomogeneous linear problems x″(t)=Λx(t)+f(t)

C. Tsitouras, T. Simos, 2020 .

A Runge-Kutta Fehlberg method with phase-lag of order infinity for initial-value problems with oscillating solution

Tom E. Simos, T. Simos, 1993 .

A Family of Exponentially-fitted Runge–Kutta Methods with Exponential Order Up to Three for the Numerical Solution of the Schrödinger Equation

Zacharias A. Anastassi, Tom E. Simos, T. Simos, 2007 .

Trigonometrically fitted Runge–Kutta methods for the numerical solution of the Schrödinger equation

Zacharias A. Anastassi, Tom E. Simos, T. Simos, 2005 .

An optimized Runge-Kutta method for the solution of orbital problems

Zacharias A. Anastassi, T. E. Simos, Tom E. Simos, 2005 .

A trigonometrically fitted Runge–Kutta method for the numerical solution of orbital problems

Zacharias A. Anastassi, T. E. Simos, Tom E. Simos, 2005 .

A dispersive-fitted and dissipative-fitted explicit Runge–Kutta method for the numerical solution of orbital problems

Zacharias A. Anastassi, Tom E. Simos, T. Simos, 2004 .

Trigonometrically-fitted partitioned multistep methods for the integration of orbital problems

Tom E. Simos, T. Simos, 2004 .

A generator of hybrid symmetric four-step methods for the numerical solution of the Schrödinger equation

T. E. Simos, A. Konguetsof, T. Simos, 2003 .

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

Zacharoula Kalogiratou, Tom E. Simos, Z. Kalogiratou, 2002 .

A generator of hybrid explicit methods for the numerical solution of the Schrödinger equation and related problems

A. Konguetsof, Tom E. Simos, G. Avdelas, 2001 .

Special Optimized Runge-Kutta Methods for IVPs with Oscillating Solutions

Zacharias A. Anastassi, Tom E. Simos, T. Simos, 2004 .

Computation of the eigenvalues of the one‐dimensional Schrödinger equation by symplectic methods

T. Monovasilis, Z. Kalogiratou, T. Simos, 2006 .

Highly efficient, singularly P-stable, and low-cost phase-fitting two-step method of 14th order for problems in chemistry

Chia-Liang Lin, T. Simos, 2023, Journal of Mathematical Chemistry.

Phase-fitting, singularly P-stable, cost-effective two-step approach to solving problems in quantum chemistry with vanishing phase-lag derivatives up to order 6

Chia-Liang Lin, T. Simos, 2023, Journal of Mathematical Chemistry.

An exponentially-fitted high order method for long-term integration of periodic initial-value problems

Jesús Vigo-Aguiar, Tom E. Simos, J. Vigo-Aguiar, 2001 .

A Symmetric High Order Method With Minimal Phase-Lag For The Numerical Solution Of The Schrödinger Equation

T. E. Simos, Tom E. Simos, Jesus Vigo Aguiar, 2001 .

AN EMBEDDED EXPONENTIALLY-FITTED RUNGE-KUTTA METHOD FOR THE NUMERICAL SOLUTION OF THE SCHRODINGER EQUATION AND RELATED PERIODIC INITIAL-VALUE PROBLEMS

Jesús Vigo-Aguiar, Tom E. Simos, G. Avdelas, 2000 .

A family of ten-step methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation

T. E. Simos, I. Alolyan, T. Simos, 2011 .

A new Numerov-type method for the numerical solution of the Schrödinger equation

T. E. Simos, T. Simos, 2009 .

Runge-Kutta-Nyström interpolants for the numerical integration of special second-order periodic initial-value problems☆

T. Simos, 1993 .

Neural Network Solution of Single-Delay Differential Equations

T. E. Simos, Chenglian Liu, I. Famelis, 2019, Mediterranean Journal of Mathematics.

Optimized Runge-Kutta pairs for problems with oscillating solutions

Ch. Tsitouras, Tom E. Simos, C. Tsitouras, 2002 .

Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation

Z. Kalogiratou, T. Monovasilis, T. Simos, 2006 .

A new multistep finite difference pair for the Schrödinger equation and related problems

D. B. Berg, T. E. Simos, D. Berg, 2018, Journal of Mathematical Chemistry.

Two stages six-step method with eliminated phase-lag and its first, second, third and fourth derivatives for the approximation of the Schrödinger equation

T. E. Simos, M. Medvedev, T. Simos, 2017, Journal of Mathematical Chemistry.

High order computationally economical six-step method with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation

D. B. Berg, T. E. Simos, D. Berg, 2017, Journal of Mathematical Chemistry.

An efficient six-step method for the solution of the Schrödinger equation

D. B. Berg, T. E. Simos, D. Berg, 2017, Journal of Mathematical Chemistry.

An explicit four-step method with vanished phase-lag and its first and second derivatives

T. E. Simos, T. Simos, 2014, Journal of Mathematical Chemistry.

A family of explicit linear six-step methods with vanished phase-lag and its first derivative

T. E. Simos, I. Alolyan, T. Simos, 2014, Journal of Mathematical Chemistry.

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

Ibraheem Alolyan, T. E. Simos, Tom E. Simos, 2014, Journal of Mathematical Chemistry.

A new four-step hybrid type method with vanished phase-lag and its first derivatives for each level for the approximate integration of the Schrödinger equation

I. Alolyan, T. Simos, T. Simos, 2013, Journal of Mathematical Chemistry.

A new optimized symmetric 8-step semi-embedded predictor–corrector method for the numerical solution of the radial Schrödinger equation and related orbital problems

T. E. Simos, G. Panopoulos, T. Simos, 2013, Journal of Mathematical Chemistry.

A family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation

Theodore E. Simos, Ibraheem Alolyan, I. Alolyan, 2011 .

Mulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equation

Ibraheem Alolyan, T. E. Simos, Tom E. Simos, 2010 .

Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation

T. Simos, 2010 .

A family of two-stage two-step methods for the numerical integration of the Schrödinger equation and related IVPs with oscillating solution

T. Simos, Z. Anastassi, 2009 .

A new methodology for the construction of numerical methods for the approximate solution of the Schrödinger equation

T. E. Simos, D. Vlachos, T. Simos, 2009 .

A family of four-step trigonometrically-fitted methods and its application to the schrödinger equation

T. Simos, 2008 .

The numerical solution of the radial Schrödinger equation via a trigonometrically fitted family of seventh algebraic order Predictor–Corrector methods

T. Simos, G. Psihoyios, 2006 .

A multistep method with optimal properties for second order differential equations

Tom E. Simos, Maxim A. Medvedev, M. Medvedev, 2017, Journal of Mathematical Chemistry.

New high order multiderivative explicit four-step methods with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. Part I: Construction and theoretical analysis

T. E. Simos, T. Simos, 2012, Journal of Mathematical Chemistry.

Trigonometrically and Exponentially fitted Symplectic Methods of third order for the Numerical Integration of the Schrödinger Equation

Zacharoula Kalogiratou, Th. Monovasilis, Tom E. Simos, 2005 .

Sixth algebraic order trigonometrically fitted predictor–corrector methods for the numerical solution of the radial Schrödinger equation

T. Simos, G. Psihoyios, 2005 .

Efficient Numerical Solution of Orbital Problems with the use of Symmetric Four-step Trigonometrically-fitted Methods

G. Psihoyios, T. Simos, 2004 .

Effective Numerical Approximation of Schrödinger type Equations through Multiderivative Exponentially‐fitted Schemes

Georgios Psihoyios, Tom E. Simos, G. Psihoyios, 2004 .

Numerical Solution of the two-dimensional time independent Schrödinger Equation by symplectic schemes†

Z. Kalogiratou, T. Simos, Th. Monovasilis, 2004 .

Exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation

Zacharoula Kalogiratou, Tom E. Simos, Z. Kalogiratou, 2003 .

Symplectic Methods for the Numerical Solution of the Radial Shrödinger Equation

K. Tselios, T. Simos, 2003 .

A Family of Trigonometrically-Fitted Symmetric Methods for the Efficient Solution of the Schrödinger Equation and Related Problems

T. E. Simos, T. Simos, 2003 .

A Generator and an Optimized Generator of High-Order Hybrid Explicit Methods for the Numerical Solution of the Schrödinger Equation. Part 2. Development of the Generator, Optimization of the Generator and Numerical Results

G. Avdelas, A. Konguetsof, T. Simos, 2001 .

A Generator and an Optimized Generator of High-Order Hybrid Explicit Methods for the Numerical Solution of the Schrödinger Equation. Part 1. Development of the Basic Method

G. Avdelas, A. Konguetsof, T. Simos, 2001 .

A new explicit Bessel and Neumann fitted eighth algebraic order method for the numerical solution of the Schrödinger equation

T. Simos, 2000 .

Embedded eighth order methods for the numerical solution of the Schrödinger equation

G. Avdelas, T. Simos, 1999 .

Some embedded modified Runge-Kutta methods for the numerical solution of some specific Schrödinger equations

T. E. Simos, Tom E. Simos, T. Simos, 1998 .

Symplectic Methods of Fifth Order for the Numerical Solution of the Radial Shrödinger Equation

K. Tselios, T. Simos, 2004 .

New Second-order Exponentially and Trigonometrically Fitted Symplectic Integrators for the Numerical Solution of the Time-independent Schrödinger Equation

T. Monovasilis, T. Simos, 2007 .

Dissipative high phase-lag order numerov-type methods for the numerical solution of the Schrodinger equation

G. Avdelas, G. Avdelas, T. Simos, 2000 .

Numerical multistep methods for the efficient solution of quantum mechanics and related problems

Zacharias A. Anastassi, Tom E. Simos, T. Simos, 2009 .

An Eighth-Order Method With Minimal Phase-Lag For Accurate Computations For The Elastic Scattering Phase-Shift Problem

Tom E. Simos, T. Simos, 1996 .