Coherent quantum control of atomic and molecular processes by using the technique of laser pulses

Several schemes for coherent quantum control of atomic and molecular processes have been proposed and investigated by using the techniques of adiabatic passage and ultrashort pulses, respectively. Some interesting results have been found.

Directional algebraic reconstruction technique for electrical impedance tomography

We assume that the resistance matrix can be found in electrical impedance tomography from the assumption of linear dependence between the voltages and the currents and with the help of the resistance matrix and the transfer impedance between the electrodes, a directional algebraic reconstruction technique is proposed. The goal is to reconstruct the resistivity distribution by weighting the matrices that are obtained by calculating the orthogonal distance of the underlying mesh elements from the neighbouring port resistivity lines. These weighting matrices, which only depend on the topology of the underlying mesh, can be calculated offline and result in a computationally efficient online procedure with a reasonable image reconstruction performance. Simulation results are provided to validate this approach.

Practices of Ministerial Leadership of Korean-American United Methodist Clergywomen; Toward a Wesleyan Ecclesiology in a Global Context

This study documents, analyzes, and interprets Korean American United Methodist (KAUM) clergywomen‘s experiences in and understandings of the church. It examines contributions these (and potentially, other) clergywomen might make to Wesleyan ecclesiology generally, and particular ways United Methodists live out their faith in transitional, diverse, and global contexts. The project attempts to re-vision existing Wesleyan ecclesial discourse in the United Methodist Church (UMC) by recognizing and incorporating the contributions of racial-ethnic clergy as expressed through their leadership and practices of faith. A "practice-theory-practice" model of practical theology was used to pay systematic attention to the practical locus of the inquiries. Twenty Korean American United Methodist clergywomen were interviewed by telephone, using a voluntary sampling technique to ascertain how they both experienced the church and understood and lived out various practices of faith, including preaching, participation in and administration of the sacraments, preparation for ordained ministry, and other spiritual practices such as prayer, worship, retreats, and journaling. The dissertation summarizes those findings, provides contextual and historical interpretation, and then analyzes their responses in relation to Wesleyan theology, MinJung (mass of people) theology, and the theology of YeoSung (women who display dignity and honor as human beings). This study identifies the extraordinary call of the KAUM clergywomen interviewees to be bridge builders, strong nurturers, wounded healers, committed educators, breakers of old stereotypes, persistent seekers to fulfill God‘s call, and ecclesial leaders with ―tragic consciousness‖ who can disrupt marginality and facilitate the creative transformation of Han (a deep experience of suffering and oppression) into a constructive energy capable of shaping a new reality. According to this study, KAUM clergywomen‘s experiences and practices of faith as ecclesial leaders strengthen Wesleyan ecclesiology in terms of the UMC‘s efforts to be an inclusive church through connectionalism, and its commitment to social justice. MinJung theology and the theology of YeoSung, in their respective understandings of the church, broaden Wesleyan ecclesiology and enable the Church to be more relevant in a global context by embracing those who have not been normative theological subjects.

Detailed analysis of a conservative difference approximation for the time fractional diffusion equation

Diffusion equations that use time fractional derivatives are attractive because they describe a wealth of problems involving non-Markovian Random walks. The time fractional diffusion equation (TFDE) is obtained from the standard diffusion equation by replacing the first-order time derivative with a fractional derivative of order α ∈ (0, 1). Developing numerical methods for solving fractional partial differential equations is a new research field and the theoretical analysis of the numerical methods associated with them is not fully developed. In this paper an explicit conservative difference approximation (ECDA) for TFDE is proposed. We give a detailed analysis for this ECDA and generate discrete models of random walk suitable for simulating random variables whose spatial probability density evolves in time according to this fractional diffusion equation. The stability and convergence of the ECDA for TFDE in a bounded domain are discussed. Finally, some numerical examples are presented to show the application of the present technique.

Implicit difference approximation for the time fractional diffusion equation

In this paper, we consider a time fractional diffusion equation on a finite domain. The equation is obtained from the standard diffusion equation by replacing the first-order time derivative by a fractional derivative (of order $0<\alpha<1$ ). We propose a computationally effective implicit difference approximation to solve the time fractional diffusion equation. Stability and convergence of the method are discussed. We prove that the implicit difference approximation (IDA) is unconditionally stable, and the IDA is convergent with $O(\tau+h^2)$, where $\tau$ and $h$ are time and space steps, respectively. Some numerical examples are presented to show the application of the present technique.

A Petrov-Galerkin method for a singularly perturbed ordinary differential equation with non-smooth data

In this paper, a singularly perturbed ordinary differential equation with non-smooth data is considered. The numerical method is generated by means of a Petrov-Galerkin finite element method with the piecewise-exponential test function and the piecewise-linear trial function. At the discontinuous point of the coefficient, a special technique is used. The method is shown to be first-order accurate and singular perturbation parameter uniform convergence. Finally, numerical results are presented, which are in agreement with theoretical results.