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We consider several interacting nucleons moving in 2D and 3DWoods-Saxon type potential wells and hitting the vibrating surface. The Hamiltonian has a coupling term between the particle motion and the collective coordinate which generates a self consistent dynamics and take into account both, the spin and isospin degrees of freedom of the nucleons. The numerical simulation is based on the solutions of the Hamilton equations which was solved usingRead more
This work presents a new software package for the study of chaotic flows and maps. The codes were written using Scilab, a software package for numerical computations providing a powerful open computing environment for engineering and scientific applications. It was found that Scilab provides various functions for ordinary differential equation solving, Fast Fourier Transform, autocorrelation, and excellent 2D and 3D graphical capabilities. The chaoticRead more
Preface to Second Edition During the ten years that have passed since the publication of the first edition, many students and teachers have read it and rewarded us with their gratitude (and suggestions). Our cumulative experiences have permitted us to uncover which parts of the text could be made clearer and which parts could use new materials. In this second edition we stay true to the general structure of the first edition that has proven successfulRead more
Winner of 2008 Undergraduate Computational Engineering and Science Award by USA Department of Energy and Krell Institute TOC 1. Computational Science Basics 2. Errors and Uncertainties in Computations 3. Visualization Tools 4. Object-Oriented Programs 5. Monte Carlo Simulations 6. Trial and Error Searching, Matrix Computing, Data Fitting 7. Computing Hardware Basics 8. Parallel Computing and MPI 9. Integration and Diferentiation 10. Diferential EquationRead more
We consider several non interacting nucleons moving in a 2D Woods-Saxon type potential well and hitting the vibrating surface. The Hamiltonian has a coupling term between the particle motion and the collective coordinate which generates a self consistent dynamics. The numerical simulation is based on the solutions of the Hamilton equations which was solved using an algorithm of Runge-Kutta type (order 4-5) having an optimized step size, taking intoRead more
This book offers a new approach to introductory scientific computing. It aims to make students comfortable using computers to do science, to provide them with the computational tools and knowledge they need throughout their college careers and into their professional careers, and to show how all the pieces can work together. Rubin Landau introduces the requisite mathematics and computer science in the course of realistic problems, from energy useRead more