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"Pasangan bata merah tradisional sangat luas penggunaannya dalam konstruksi bangunan dengan berbagai variasi fungsionalnya. Dalam berbagai proses disain engineering, selama ini struktur pasangan bata merah hanya dianggap sebagai beban. Tetapi dengan semakin luasnya penggunaan mikro komputer yang diikuti perkembangan pesat perangkat lunak elemen hingga, memberikan kesempatan untuk melakukan analisis struktur yang lebih kompleks dengan menyertakan elemen pasangan bata merah sebagai salah satu elemen struktur yang penting.Yang paling sukar dalam analisis elemen hingga untuk pasangan bata merah adalah kesulitan permodelan karakteristik material propertinya. Karena riset-riset di negara kita yang menyelidiki sifat dan karakteristik pasangan bata merah masih terasa kurang.Kajian ini mencoba menggunakan kapabilitas perangkat lunak elemen hingga untuk melakukan analisis pasangan bata triplet. Diantaranya penggunaan elemen contact untuk memodelkan interface bata dan mortar, aplikasi kriteria keruntuhan pada elemen concrete (William & Warnke), Drucker Prager, model Anisotrop dan aplikasi gejala Fissure Closing pada bata merah. Sebagai pembanding adalah test uji pembebanan pasangan bata triplet dengan beban prekompresi dan lateral. Bata merah dipakai jenis bata tradisional dan Cikarang.Hasil kajian ini didapatkan hasil yang tidak jauh berbeda antara test uji di laboratorium dengan komputasi elemen hingga Prediksi keruntuhan elemen concrete dan Drucker Prager dapat memprediksi dengan baik keruntuhan pasangan triplet. Sedangkan riwayat displacement akibat pembebanan terjadi perbedaan antara komputasi elemen hingga dan hasil uji test. Hal ini dikarenakan peralatan pengujian yang kurang akurasinya dan sampel pasangan triplet sendiri yang sangat variatif bentuk fisiknya. Fenomena Fissure Closing diakomodir dengan teknik membedakan input hubungan teganganregangan bata pada daerah yang diperkirakan mengalami pemampatan rongga yang tinggi.Kajian ini, dapat digunakan sebagai sedikit sumbangan untuk kelanjutan riset-riset pasangan bata merah yang lebih mendalam di Indonesia, khususnya dalam metode permodelan karakteristik material untuk analisis numerik."

"Kronecker products are used to define the underlying Markov chain (MC) in various modeling formalisms, including compositional Markovian models, hierarchical Markovian models, and stochastic process algebras. The motivation behind using a Kronecker structured representation rather than a flat one is to alleviate the storage requirements associated with the MC. With this approach, systems that are an order of magnitude larger can be analyzed on the same platform. The developments in the solution of such MCs are reviewed from an algebraic point of view and possible areas for further research are indicated with an emphasis on preprocessing using reordering, grouping, and lumping and numerical analysis using block iterative, preconditioned projection, multilevel, decompositional, and matrix analytic methods. Case studies from closed queueing networks and stochastic chemical kinetics are provided to motivate decompositional and matrix analytic methods, respectively."

"This volume presents a mathematical development of a recent approach to the modeling and simulation of turbulent flows based on methods for the approximate solution of inverse problems. The resulting approximate deconvolution models or ADMs have some advantages over more commonly used turbulence models, as well as some disadvantages. Present the analytical theory of ADMs, along with its connections, motivations and complements in the phenomenology of and algorithms for ADMs."

"The author treats the mathematical formulations from an engineering viewpoint and presents high-order finite-element methods for the computation of singular solutions in isotropic and anisotropic materials, and multi-material interfaces. The proper interpretation of the results in engineering practice is advocated, so that the computed data can be correlated to experimental observations."

"Directional multiscale systems, particularly shearlets, are now having the same dramatic impact on the encoding of multidimensional signals. Since its introduction about five years ago, the theory of shearlets has rapidly developed and gained wide recognition as the superior way of achieving a truly unified treatment in both a continuous and a digital setting. By now, it has reached maturity as a research field, with rich mathematics, efficient numerical methods, and various important applications."

"This book provides a complete and comprehensive reference/guide to Pyomo (Python Optimization Modeling Objects). The text illustrates the breadth of the modeling and analysis capabilities that are supported by the software and support of complex real-world applications. Pyomo is an open source software package for formulating and solving large-scale optimization and operations research problems. The text begins with a tutorial on simple linear and integer programming models. A detailed reference of Pyomo's modeling components is illustrated with extensive examples, including a discussion of how to load data from data sources like spreadsheets and databases. Chapters describing advanced modeling capabilities for nonlinear and stochastic optimization are also included. The Pyomo software provides familiar modeling features within Python, a powerful dynamic programming language that has a very clear, readable syntax and intuitive object orientation. Pyomo includes Python classes for defining sparse sets, parameters, and variables, which can be used to formulate algebraic expressions that define objectives and constraints. Moreover, Pyomo can be used from a command-line interface and within Python's interactive command environment, which makes it easy to create Pyomo models, apply a variety of optimizers, and examine solutions. The software supports a different modeling approach than commercial AML (Algebraic Modeling Languages) tools, and is designed for flexibility, extensibility, portability, and maintainability but also maintains the central ideas in modern AMLs."

"Presenting state-of-the-art methods in the area, the book begins with a presentation of weak discrete time approximations of jump-diffusion stochastic differential equations for derivatives pricing and risk measurement. Using a moving least squares reconstruction, a numerical approach is then developed that allows for the construction of arbitrage-free surfaces. Free boundary problems are considered next, with particular focus on stochastic impulse control problems that arise when the cost of control includes a fixed cost, common in financial applications. The text proceeds with the development of a fear index based on equity option surfaces, allowing for the measurement of overall fear levels in the market. The problem of American option pricing is considered next, applying simulation methods combined with regression techniques and discussing convergence properties. Changing focus to integral transform methods, a variety of option pricing problems are considered. The COS method is practically applied for the pricing of options under uncertain volatility, a method developed by the authors that relies on the dynamic programming principle and Fourier cosine series expansions. Efficient approximation methods are next developed for the application of the fast Fourier transform for option pricing under multifactor affine models with stochastic volatility and jumps. Following this, fast and accurate pricing techniques are showcased for the pricing of credit derivative contracts with discrete monitoring based on the Wiener-Hopf factorisation. With an energy theme, a recombining pentanomial lattice is developed for the pricing of gas swing contracts under regime switching dynamics. The book concludes with a linear and nonlinear review of the arbitrage-free parity theory for the CDS and bond markets. "

"The proceedings represent the state of knowledge in the area of algorithmic differentiation (AD). The 31 contributed papers presented at the AD2012 conference cover the application of AD to many areas in science and engineering as well as aspects of AD theory and its implementation in tools. For all papers the referees, selected from the program committee and the greater community, as well as the editors have emphasized accessibility of the presented ideas also to non-AD experts. In the AD tools arena new implementations are introduced covering, for example, Java and graphical modeling environments or join the set of existing tools for Fortran. New developments in AD algorithms target the efficiency of matrix-operation derivatives, detection and exploitation of sparsity, partial separability, the treatment of nonsmooth functions, and other high-level mathematical aspects of the numerical computations to be differentiated. Applications stem from the Earth sciences, nuclear engineering, fluid dynamics, and chemistry, to name just a few. In many cases the applications in a given area of science or engineering share characteristics that require specific approaches to enable AD capabilities or provide an opportunity for efficiency gains in the derivative computation. The description of these characteristics and of the techniques for successfully using AD should make the proceedings a valuable source of information for users of AD tools."

"The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra. The topics include polynomial interpolation, Bernstein polynomials and the Weierstrass theorem, best approximations in the general setting of normed linear spaces and inner product spaces, best uniform polynomial approximation, orthogonal polynomials, Newton-Cotes , Gauss and Clenshaw-Curtis quadrature, the Euler-Maclaurin formula, approximation of periodic functions, the uniform convergence of Fourier series, spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter."

"The research presented here, opening up space for synergies and innovation. It is directly applicable for relevant practical problems and has been carried out in cooperation with utility and dumping companies, infrastructure providers and planning offices. A close and direct connection to the practice of water management has been established by involving application-oriented know-how from the field of civil engineering. On the mathematical side all necessary disciplines were involved, including mixed-integer optimization, multi-objective and facility location optimization, numerics for cross-linked dynamic transportation systems and optimization as well as control of hybrid systems. Most of the presented research has been supported by the joint project „Discret-continuous optimization of dynamic water systems“ of the federal ministry of education and research (BMBF)."