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Professor Dr T.E. Simos ‐ CV P243. D. S. Vlachos, T. E. Simos, Partitioned Linear Multistep Method for Long Term Integration of the N‐Body Problem, Applied Numerical Analysis & Computational Mathematics, Volume 1, Issue 2, Date: December 2004, Pages: 540‐546 P244. Th. Monovasilis, Z. Kalogiratou, T. E. Simos, Trigonometrically and Exponentially fitted Symplectic Methods of third order for the Numerical Integration of the Schrödinger Equation Applied Numerical Analysis & Computational Mathematics, Volume 2, Issue 2, Date: August 2005, Pages: 238‐ 244 P245. Z. Kalogiratou, Th. Monovasilis, T. E. Simos, A Symplectic Trigonometrically Fitted Modified Partitioned Runge‐Kutta Method for the Numerical Integration of Orbital Problems, Applied Numerical Analysis & Computational Mathematics, Volume 2, Issue 3, Pages: 359‐364, Date: December 2005, P246. Z Anastassi and T.E. Simos, A family of exponentially‐fitted Runge‐ Kutta methods with exponential order up to three for the numerical solution of the Schrodinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY 40 (3): 79‐ 100 OCT 2006 P247. Th. Monovasilis, T. E. Simos, New second‐order exponentially and trigonometrically fitted symplectic integrators for the numerical solution of the time independent Schrödinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY,42(3) 535‐545(2007). P248 T.E. Simos, Stabilization of a four‐step exponentially‐fitted method and its application to the Schrodinger equation INTERNATIONAL JOURNAL OF MODERN PHYSICS C 18 (3): 315‐328 MAR 2007 P249 T. Monovasilis, Z. Kalogiratou, T.E. Simos, Families of third and fourth algebraic order trigonometrically fitted symplectic methods for the numerical integration of Hamiltonian systems, COMPUTER PHYSICS COMMUNICATIONS 177 (10): 757‐763 NOV 15 2007 P250 T.E. Simos, Closed Newton‐Cotes Trigonometrically‐Fitted Formulae for Numerical Integration of the Schrödinger Equation, Computing Letters 3(1), pp. 45‐57(13) (2007) P251 T.E. Simos, High‐order closed Newton–Cotes trigonometricallyfitted formulae for long‐time integration of orbital problems, Computer Physics Communications, Volume 178, Issue 3, 1 February 2008, Pages 199‐207 Page 49 of 379
Professor Dr T.E. Simos ‐ CV P252 Th. Monovasilis, Z. Kalogiratou and T.E. Simos, Computation of the eigenvalues of the Schrödinger equation by symplectic and trigonometrically fitted symplectic partitioned Runge–Kutta methods, Physics Letters A, Volume 372, Issue 5, 28 January 2008, Pages 569‐573 P253 Z.A. Anastassi and T.E. Simos, Numerical Methods for the Efficient Solution of Problems in Quantum Mechanics, Physics Reports, in preparation (a letter of agreement between the authors and Elsevier has been signed). P254 T.E. Simos, Closed Newton‐Cotes trigonometrically‐fitted formulae of high order for the numerical integration of the Schrödinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 44, Issue: 2 Pages: 483‐ 499(2008) P255 T.E. Simos, A family of four‐step trigonometrically‐fitted methods and its application to the Schrödinger equation, JOURNAL OF MATHEMATICAL CHEMISTRY Volume: 44 Issue: 2 Pages: 447‐466(2008) P256 D. Xenides, D.S. Vlachos, T.E. Simos, Synchronization in complex systems following a decision based queuing process: rhythmic applause as a test case, JOURNAL OF STATISTICAL MECHANICS‐THEORY AND EXPERIMENT Article Number: P07017 Published: JUL 2008 P257 Z. A. Anastassi, T. E. Simos, New Trigonometrically Fitted Six‐Step Symmetric Methods for the Effcient Solution of the Schrödinger Equation, Communications in Mathematical and in Computer Chemistry (MATCH) 60(3), 733‐752(2008) P258 T. V. Triantafyllidis, Z. A. Anastassi, T. E. Simos, Two Optimized Runge‐Kutta Methods for the Solution of the Schrödinger Equation, Communications in Mathematical and in Computer Chemistry (MATCH) 60(3), 753‐771(2008) P259 G. A. Panopoulos, Z. A. Anastassi, T. E. Simos, Two New Optimized Eight‐Step Symmetric Methods for the Effcient Solution of the Schrödinger Equation and Related Problems, Communications in Mathematical and in Computer Chemistry (MATCH) 60(3), 773‐785(2008) P260 T. E. Simos, Closed Newton‐Cotes Trigonometrically‐Fitted Formulae for the Solution of the Schrödinger Equation,Communications in Mathematical and in Computer Chemistry (MATCH) 60(3), 787‐801(2008) Page 50 of 379
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