Classical And Quantum Dynamics of the Multispherical Nanostructures

Part III: Numerical Methods and Object-Oriented Approach to the Problems of Multilayered Microsystems

Chapter List

Chapter 14: Use of Numerical Experiment
Chapter 15: Exception Handling
Chapter 16: Visual Programming Controls, Events and Handlers
Chapter 17: Quantum Electromagnetic Field
Chapter 18: Root Finding for Nonlinear and Complex Equations
Chapter 19: Evaluation of Complex ODE
Chapter 20: The Complex Vectorial and Matrix Operations
Chapter 21: Spontaneous Emission of Atom in Microsphere
Chapter 22: Electromagnetic Oscillations in Layered Microsphere

Preface

The solution of nonlinear (and sometimes and linear) problems of modern physics requires the investigation of various kinds of models described by a complex set of equations. Often it is impossible to obtain the solution of such a problem in a useful form, involving only the analytical methods. However even if such a solution is found, it may be written in a complicated form, involving infinite series or integrals. Sometimes the problem of evaluating such series or integrals requires e ?orts commensurable with the numerical solution of the initial task. In such cases it is impossible to produce to some useful result without exploiting the numerical methods or simulation. Such problems deal with the ordinary use of numerical methods and programming. Now one has to reformulate the question by the next way, from which a stage of an investigation it is expedient to exploit the numerical methods more intensively.

Now in view of more active application of various inhomogeneous structures in technology the investigation of the complex models generates the question: in which the way one can take into account the various equally important factors simultaneously?

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