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This second volume contains both, the mathematical analysis of the coupling between fluid flow and porous media flow and state-of-the art numerical techniques, like tailor-made finite element and finite volume methods. Readers will come across articles devoted to concrete applications of these models in the field of energy, biology and environmental research.
Mathematical physics. --- Physics -- Data processing. --- Physics.
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"Computer simulation is an indispensable research tool in modeling, understanding and predicting nanoscale phenomena. However, the advanced computer codes used by researchers are too complicated for graduate students wanting to understand computer simulations of physical systems. This book gives students the tools to develop their own codes. Describing advanced algorithms, the book is ideal for students in computational physics, quantum mechanics, atomic and molecular physics, and condensed matter theory. It contains a wide variety of practical examples of varying complexity to help readers at all levels of experience. An algorithm library in Fortran 90, available online at www.cambridge.org/9781107001701, implements the advanced computational approaches described in the text to solve physical problems"--
Nanostructures --- Physics --- Computer algorithms --- Physique --- Algorithmes --- Data processing --- Informatique --- Computer algorithms. --- Algorithms --- Nanoscience --- Data processing. --- Nanostructures - Data processing --- Physics - Data processing
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Although computation and the science of physical systems would appear to be unrelated, there are a number of ways in which computational and physical concepts can be brought together in ways that illuminate both. This volume examines fundamental questions which connect scholars from both disciplines: is the universe a computer? Can a universal computing machine simulate every physical process? What is the source of the computational power of quantum computers? Are computational approaches to solving physical problems and paradoxes always fruitful? Contributors from multiple perspectives reflecting the diversity of thought regarding these interconnections address many of the most important developments and debates within this exciting area of research. Both a reference to the state of the art and a valuable and accessible entry to interdisciplinary work, the volume will interest researchers and students working in physics, computer science, and philosophy of science and mathematics.
Mathematical physics --- Computational Complexity --- Physics --- Computer science --- Data processing --- Mathematics --- Mathematical physics. --- Computational complexity. --- Complexity, Computational --- Electronic data processing --- Machine theory --- Physical mathematics --- Computer mathematics --- Data processing. --- Mathematics. --- Physics - Data processing --- Computer science - Mathematics
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Computational chemistry methods have become increasingly important in recent years, as manifested by their rapidly extending applications in a large number of diverse fields. The ever-increasing size of the systems one wants to study leads to the development and application of methods, which provide satisfactory answers at a manageable computational cost. An important variety of computational techniques for large systems are represented by the linear-scaling techniques, that is, by methods where the computational cost scales linearly with the size of the system. This monograph is a collection of chapters, which report the state-of-the-art developments and applications of many important classes of linear-scaling methods. Linear-Scaling Techniques in Computational Chemistry and Physics: Methods and Applications serves as a handbook for theoreticians who are involved in the development of new and efficient computational methods as well as for scientists who use the tools of computational chemistry and physics in their research.
Chemistry -- Data processing. --- Chemistry -- Mathematics. --- Mathematical physics. --- Physics -- Data processing. --- Chemistry --- Physical Sciences & Mathematics --- Chemistry - General --- Physical & Theoretical Chemistry --- Scaling laws (Statistical physics) --- Ratio and proportion (Statistical physics) --- Scale invariance (Statistical physics) --- Scaling hypothesis (Statistical physics) --- Scaling phenomena (Statistical physics) --- Chemistry. --- Chemistry, Physical and theoretical. --- Physics. --- Theoretical and Computational Chemistry. --- Theoretical, Mathematical and Computational Physics. --- Physical laws --- Ranking and selection (Statistics) --- Statistical physics --- Physical sciences --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Physical mathematics --- Physics --- Mathematics
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This book covers material taught in a graduate-level soil physics course at Washington State University. While most soil physics courses dwell mainly on deriving rather than solving the differential equations for transport, the author's approach is to focus on solutions. Graduate students in agricultural and biological sciences usually have a good working knowledge of algebra and calculus, but not of differential equations. In order to teach methods for solving very difficult differential equations with difficult boundary conditions using fairly simple mathematical tools, the author uses nu
Biomathematics. Biometry. Biostatistics --- Pedology --- Programming --- Plant-soil relationships --- Soil physics --- Soil physics. --- Environmental Sciences and Forestry. Soil Science --- Data processing. --- Mathematical models. --- Soil Physics. --- Agricultural physics --- Soil mechanics --- Plants and soil --- Soil-plant relationships --- Soils and plants --- Plant ecology --- Data processing --- Mathematical models --- Soil physics - Mathematical models --- Soil physics - Data processing --- Plant-soil relationships - Mathematical models --- Plant-soil relationships - Data processing --- Models --- Soil --- soil transport processes --- Computer software --- plant soil relations --- soil chemicophysical properties
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This book encapsulates the coverage for a two-semester course in computational physics. The first part introduces the basic numerical methods while omitting mathematical proofs but demonstrating the algorithms by way of numerous computer experiments. The second part specializes in simulation of classical and quantum systems with instructive examples spanning many fields in physics, from a classical rotor to a quantum bit. All program examples are realized as Java applets ready to run in your browser and do not require any programming skills.
Electronic books. -- local. --- Mathematical physics. --- Physics -- Computer simulation. --- Physics -- Data processing. --- Physics --- Mathematical physics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Applied Physics --- Physics - General --- Data processing --- Computer simulation --- Data processing. --- Computer simulation. --- Physical mathematics --- Natural philosophy --- Philosophy, Natural --- Mathematics --- Physics. --- Physical chemistry. --- Chemistry, Physical and theoretical. --- Computer mathematics. --- Statistical physics. --- Dynamical systems. --- Numerical and Computational Physics. --- Statistical Physics, Dynamical Systems and Complexity. --- Theoretical and Computational Chemistry. --- Computational Mathematics and Numerical Analysis. --- Physical Chemistry. --- Physical sciences --- Dynamics --- Chemistry. --- Computer science --- Chemistry, Physical organic. --- Numerical and Computational Physics, Simulation. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Mathematics. --- Mathematical statistics --- Chemistry, Physical organic --- Chemistry, Organic --- Chemistry, Physical and theoretical --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Statistical methods --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Dynamics.
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