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REALITA BERDIAKONIA PADA GEREJA DAN LEMBAGA PELAYANAN KRISTEN SEKARANG
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| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Bina Darma |
| Volume / Edisi | : | 13-50 (No. 50) |
| Halaman | : | 53-58 |
| Abstrak | : | - |
EFFECTS OF ANISOTROPY IN TRIDIMENSIONAL DIFFUSION: FLOW PATTERNS AND TRANSPORT EFFICIENCY
| Pengarang | : | Awasthi, Piyush,Kumar, Mahendhar,Nec, Yana |
| Nama Majalah/Jurnal | : | Siam Journal On Applied Mathematics |
| Volume / Edisi | : | 83 (No. 2) |
| Halaman | : | 460-483 |
| Abstrak | : | Modeling diffusive processes via a constant effective diffusivity value taken to rep resent realistic uncertainty or heterogeneity is entrenched in scientific and engineering applications. This brings forth the question, to what extent does the flow pattern changes when symmetry is broken by anisotropy. This study supplies the answer by deriving a class of tridimensional solutions to the steady nonlinear diffusion equation in a spherical domain divided into an arbitrary number of meridian sectors with distinct diffusivities and generation rates. The new family of solutions permits flexible modeling, where traditionally only isotropic radial transport was considered. The f low patterns support an extensive variety of topological terrain via tesseral and sectoral harmonics. The anisotropy gives rise to an unconventional type of a fixed point combining both node and saddle attributes. The contours are nonsmooth on the contiguity planes between sectors and might or might not be localized in the polar angle \varphi and/or azimuthal angle \theta , implying a particle might remain confined to a relatively small neighborhood or meander over the sphere. The impact on motion trajectories and thus transport efficiency implies that the energy required to sustain a steady flow is starkly underestimated when symmetry is assumed for simplicity despite the presence of anisotropy. |
MEMIKIRKAN ULANG DIAKONIA SOSIAL GEREJA: SEBUAH UPAYA MENCARI DIAKONIA YANG TRANSFORMATIF
| Pengarang | : | Djoko Priyatno |
| Nama Majalah/Jurnal | : | Bina Darma |
| Volume / Edisi | : | 13-50 (No. 50) |
| Halaman | : | 43-52 |
| Abstrak | : | - |
ANALYSIS OF MEAN-FIELD APPROXIMATION FOR DEFFUANT OPINION DYNAMICS ON NETWORKS
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Siam Journal On Applied Mathematics |
| Volume / Edisi | : | 83 (No. 2) |
| Halaman | : | 436-459 |
| Abstrak | : | Mean-field equations have been developed recently to approximate the dynamics of the Deffuant model of opinion formation. These equations can describe both fully mixed populations and the case where individuals interact only along edges of a network. In each case, interactions only occur between individuals whose opinions differ by less than a given parameter, called the confidence bound. The size of the confidence bound parameter is known to strongly affect both the dynamics and the number and location of opinion clusters. In this work, we carry out a mathematical analysis of the mean-field equations to investigate the role of the confidence bound and boundaries on these important observables of the model. We consider the limit in which the confidence bound interval is small, and we identify the key mechanisms driving opinion evolution. We show that linear stability analysis can predict the number and location of opinion clusters. Comparison with numerical simulations of the model illustrates that the early-time dynamics and the final cluster locations can be accurately approximated for networks composed of two degree classes, as well as for the case of a fully mixed population. |
PENDIDIKAN TEOLOGIA YANG KONTEKSTUAL: IDEAL, FAKTA DAN PEMBENAHANNYA
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Bina Darma |
| Volume / Edisi | : | 13-50 (No. 50) |
| Halaman | : | 34-42 |
| Abstrak | : | - |
INVERSE SOURCE PROBLEM FOR ACOUSTICALLY-MODULATED ELECTROMAGNETIC WAVES
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Siam Journal On Applied Mathematics |
| Volume / Edisi | : | 83 (No. 2) |
| Halaman | : | 418-435 |
| Abstrak | : | We propose a method to reconstruct the electrical current density from acoustically modulated boundary measurements of time-harmonic electromagnetic fields. We show that the current can be uniquely reconstructed with Lipschitz stability. We also report numerical simulations to illustrate the analytical results. |
IHWAL BERGERAJA DI IDNONESIA
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Bina Darma |
| Volume / Edisi | : | 13-50 (No. 50) |
| Halaman | : | 22-33 |
| Abstrak | : | - |
SINGLE MODE MULTI-FREQUENCY FACTORIZATION METHOD FOR THE INVERSE SOURCE PROBLEM IN ACOUSTIC WAVEGUIDES
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Siam Journal On Applied Mathematics |
| Volume / Edisi | : | 83 (No. 2) |
| Halaman | : | 394-417 |
| Abstrak | : | This paper investigates the inverse source problem with a single propagating mode at multiple frequencies in an acoustic waveguide. The goal is to provide both theoretical justification and efficient algorithms for imaging extended sources using the sampling methods. In contrast to the existing far/near-field operator based on the integral over the space variable in the sampling methods, a multi-frequency far-field operator is introduced based on the integral over the frequency variable. This far-field operator is defined in a way to incorporate the possibly nonlinear disper sion relation, a unique feature in waveguides. The factorization method is deployed to establish a rigorous characterization of the range support, which is the support of source in the direction of wave propagation. A related factorization-based sampling method is also discussed. These sampling methods are shown to be capable of imaging the range support of the source. Numerical examples are provided to illustrate the performance of the sampling methods, including an example to image a complete sound-soft block. |
BERGEREJA DI INDONESIA: REFLEKSI TERHADAP FUNGSI DAN AKTUALISASINYA
| Pengarang | : | Supardan |
| Nama Majalah/Jurnal | : | Bina Darma |
| Volume / Edisi | : | 13-50 (No. 50) |
| Halaman | : | 7-21 |
| Abstrak | : | - |
A MAXWELL-AMPERE NERNST-PLANCK FRAMEWORK FOR MODELING CHARGE DYNAMICS
| Pengarang | : | - |
| Nama Majalah/Jurnal | : | Siam Journal On Applied Mathematics |
| Volume / Edisi | : | 83 (No. 2) |
| Halaman | : | 374-393 |
| Abstrak | : | Understanding the properties of charge dynamics is crucial to many practical appli cations, such as electrochemical energy devices and transmembrane ion channels. This work proposes a Maxwell-Amp\`ere Nernst-Planck (MANP) framework for the description of charge dynamics. The MANP model with a curl-free condition on the electric displacement is shown to be energy dissi pative with respect to a convex free-energy functional, and demonstrated to be equivalent to the Poisson-Nernst-Planck model. By the energy dissipation law, the steady state of the MANP model reproduces the charge conserving Poisson-Boltzmann (PB) theory, providing an alternative energy stable approach to study the PB theory. In order to achieve the curl-free condition, a companion local curl-free relaxation algorithm, which is shown to naturally preserve the discrete Gauss's law and converge robustly with linear computational complexity, is developed for the MANP model. One of the main advantages of our development is that it can efficiently deal with space-dependent permittivity instead of solving the variable-coefficient Poisson's equation. Many-body effects such as ionic steric effects and Coulomb correlations can be incorporated within the MANP framework to derive modified MANP models for problems in which the mean-field approximation fails. Numerical results on the charge dynamics with such beyond mean-field effects in inhomogeneous dielectric en vironments are presented to demonstrate the performance of the MANP models in the description of charge dynamics, illustrating that the proposed MANP model provides a general framework for modeling charge dynamics |