T
Th. Monovasilis
Researcher at Technological Educational Institute of Western Macedonia
Publications - 75
Citations - 2302
Th. Monovasilis is an academic researcher from Technological Educational Institute of Western Macedonia. The author has contributed to research in topics: Runge–Kutta methods & Symplectic geometry. The author has an hindex of 27, co-authored 75 publications receiving 2223 citations. Previous affiliations of Th. Monovasilis include University of Western Macedonia & University of Peloponnese.
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Symplectic integrators for the numerical solution of the Schrödinger equation
TL;DR: In this paper, the Schrodinger equation is transformed into a Hamiltonian canonical equation and the concept of asymptotic symplecticness is introduced and methods of order up to 3 are developed.
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New modified Runge-Kutta-Nyström methods for the numerical integration of the Schrödinger equation
TL;DR: In this paper, the Runge-Kutta-Nystrom (RKN) method was applied to the computation of the eigenvalues of the Schrodinger equation with different potentials such as the harmonic oscillator, doubly anharmonic oscillator and the exponential potential.
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An optimized two-step hybrid block method for solving general second order initial-value problems
TL;DR: A new optimized two-step hybrid block method for the numerical integration of general second-order initial value problems is presented, which is zero-stable and consistent with fifth algebraic order.
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A family of trigonometrically fitted partitioned Runge–Kutta symplectic methods
TL;DR: A family of trigonometrically fitted partitioned Runge–Kutta symplectic methods of fourth order with six stages considering the solution of the one-dimensional time independent Schrodinger equation is presented.
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Exponentially Fitted Symplectic Runge-Kutta-Nystr ¨om methods
TL;DR: This work constructs a fourth order SRKN with constant coefficients and a trigonometrically fitted SRKN method, and applies the new methods on the two-dimentional harmonic oscillator, the Stiefel-Bettis problem and on the computation of the eigenvalues of the Schr ödinger equation.