Smoothed Particle Hydrodynamics SPH is a meshless Lagrangian parti cle method for solving a system of hydrodynamic equations for compressible uids SPH is especially suited for problems with free boundaries a commonplace situation in as trophysics Rather than solving the equations on a grid the equations are solved at the positions of the so called particles each representing a mass packet with ...

This paper is concerned with optimal boundary control of an instationary reaction-diffusion system in three spatial dimensions. This problem involves a coupled nonlinear system of parabolic differential equations with bilateral as well as integral control constraints. The integral constraint is included in the cost by a penalty term whereas the bilateral control constraints are handled explicit...

A numerical method for solving nonlinear mixed Hammerstein integral equations is presented in this paper. The method is based upon hybrid of rationalized Haar functions approximations. The properties of hybrid functions which are the combinations of block-pulse functions and rationalized Haar functions are first presented. The Newton-Cotes nodes and Newton-Cotes integration method are then util...

A spin-isospin dependent Three-Dimensional formalism based on the momentum vectors for the four-nucleon bound state is presented. The four-nucleon Yakubovsky equations with twoand three-nucleon interactions are formulated as a function of the vector Jacobi momenta. Our formalism, according to the number of spin-isospin states that one takes into account, leads to only a strictly finite number o...

The dynamics of a three-level atom in a cascade ~or ladder! configuration with both transitions coupled to a single structured reservoir of quantized electromagnetic field modes is treated using Laplace transform methods applied to the coupled amplitude equations. In this system two-photon excitation of the reservoir occurs, and both sequences for emitting the two photons are allowed and includ...

Three-charge-particle quantum systems with arbitrary masses are treated by a general formalism based on coordinate space integral-differential Faddeev-Hahn-type equations. To solve these equations we expand the wave function components in terms of bound states in initial and final channels and project these equations on these bound states as in the close coupling method used in the Schrödinger ...

Abstract We outline a formalism and develop a computational procedure to treat the process of multiphoton ionization (MPI) of atomic targets in strong laser fields. We treat the MPI process nonperturbatively as a decay phenomenon by solving a coupled set of the integral Lippmann-Schwinger equations. As basic building blocks of the theory we use a complete set of field-free atomic states, discre...

Simple and accurate closed-form expressions for the frequency-dependent mutual inductance and resistance per unit length of coupled interconnects on lossy silicon substrate are presented. Based on the closed-form evaluation of the integral equations for the magnetic vector potential (taking into account the induced current density distribution inside silicon substrate), the closed-form expressi...

The Coulomb interaction between the two protons is included in the calculation of proton-deuteron breakup and of three-body electromagnetic disintegration of 3 He. The hadron dynamics is based on the purely nucleonic charge-dependent (CD) Bonn potential and its realistic extension CD Bonn + ∆ to a coupled-channel two-baryon potential, allowing for single virtual ∆-isobar excitation. Calculation...

The P2– F2 pairing model is generally considered to provide an adequate description of the superfluid states of neutron matter at densities some 2-3 times that of saturated symmetrical nuclear matter. The problem of solving the system of BCS gap equations expressing the P2– F2 model is attacked with the aid of the separation approach. This method, developed originally for quantitative study of ...