Example 1. Insufficiency of the optimality conditions
... effective. However, perfect situations like this are by no means frequent. Unfortunately, there are numerous obstacles on the way of solving optimization problems, and we should get prepared to overcome them. The first counterexample considered below is a rather simple optimization problem that diff ...
... effective. However, perfect situations like this are by no means frequent. Unfortunately, there are numerous obstacles on the way of solving optimization problems, and we should get prepared to overcome them. The first counterexample considered below is a rather simple optimization problem that diff ...
Introduction to Computational Quantum Chemistry: Theory
... Transition energies and intensities for UV and IR spectra NMR chemical shifts Dipole moments, polarisabilities and hyperpolarisabilities Reaction pathways and mechanisms ...
... Transition energies and intensities for UV and IR spectra NMR chemical shifts Dipole moments, polarisabilities and hyperpolarisabilities Reaction pathways and mechanisms ...
Atomic motion in laser light
... (Cook 1979, 1980a, Gordon and Ashkin 1980). It is therefore possible to calculate, via optical Bloch equations, the stationary internal atomic state and then to find, by application of Ehrenfest's theorem, the equation of motion of the centroid of the atomic wavepacket. Such an approach brings out t ...
... (Cook 1979, 1980a, Gordon and Ashkin 1980). It is therefore possible to calculate, via optical Bloch equations, the stationary internal atomic state and then to find, by application of Ehrenfest's theorem, the equation of motion of the centroid of the atomic wavepacket. Such an approach brings out t ...
MATHEMATICS OF COMPUTATION Volume 72, Number 241, Pages 131–157 S 0025-5718(01)01371-0
... exact or approximate solutions due to the low regularity of the source term. Also they are known to be limited to one space dimension, and the scheme and theorem extend obviously to higher dimensions on rectangular grids. In order to avoid the need of BV bounds, we design a new method of investigati ...
... exact or approximate solutions due to the low regularity of the source term. Also they are known to be limited to one space dimension, and the scheme and theorem extend obviously to higher dimensions on rectangular grids. In order to avoid the need of BV bounds, we design a new method of investigati ...
Lecture 4: Boundary Value Problems
... The consequence: if we place a point charge above an ideal conductor, it will create an electric field that would be entirely in a radial direction. Therefore, the tangential component of E will be zero just beneath the charge. In order to satisfy the “zero tangential component requirement” at the o ...
... The consequence: if we place a point charge above an ideal conductor, it will create an electric field that would be entirely in a radial direction. Therefore, the tangential component of E will be zero just beneath the charge. In order to satisfy the “zero tangential component requirement” at the o ...
