Nonlocal Modeling, Analysis, and Computation, Qiang Du
Автор: Jeffrey Humpherys, Tyler J. Jarvis Название: Foundations of Applied Mathematics, Volume 2: Algorithms, Approximation, Optimization ISBN: 1611976057 ISBN-13(EAN): 9781611976052 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 81090.00 T Наличие на складе: Невозможна поставка. Описание: In this second book of what will be a four-volume series, the authors present, in a mathematically rigorous way, the essential foundations of both the theory and practice of algorithms, approximation, and optimization—essential topics in modern applied and computational mathematics. This material is the introductory framework upon which algorithm analysis, optimization, probability, statistics, machine learning, and control theory are built. This text gives a unified treatment of several topics that do not usually appear together: the theory and analysis of algorithms for mathematicians and data science students; probability and its applications; the theory and applications of approximation, including Fourier series, wavelets, and polynomial approximation; and the theory and practice of optimization, including dynamic optimization.When used in concert with the free supplemental lab materials, Foundations of Applied Mathematics, Volume 2: Algorithms, Approximation, Optimization teaches not only the theory but also the computational practice of modern mathematical methods. Exercises and examples build upon each other in a way that continually reinforces previous ideas, allowing students to retain learned concepts while achieving a greater depth. The mathematically rigorous lab content guides students to technical proficiency and answers the age-old question “When am I going to use this?”This textbook is geared toward advanced undergraduate and beginning graduate students in mathematics, data science, or machine learning.
Автор: Molica Bisci Название: Variational Methods for Nonlocal Fractional Problems ISBN: 1107111943 ISBN-13(EAN): 9781107111943 Издательство: Cambridge Academ Рейтинг: Цена: 141510.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Devoted to the variational analysis of problems described by nonlocal operators, this book will appeal to a wide range of researchers and graduate students in mathematics, especially those interested in nonlinear phenomena. A careful balance is struck between rigorous mathematics and physical applications.
Автор: Matteo Bonforte; Gabriele Grillo; Jos? Antonio Car Название: Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions ISBN: 3319614932 ISBN-13(EAN): 9783319614939 Издательство: Springer Рейтинг: Цена: 41920.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems.
Автор: Andrey Anatoljevich Grib; Waldyr Alves Rodrigues J Название: Nonlocality in Quantum Physics ISBN: 1461371228 ISBN-13(EAN): 9781461371229 Издательство: Springer Рейтинг: Цена: 95770.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The nonlocality phenomena exhibited by entangled quantum systems are certainly one of the most extraordinary aspects of quantum theory. Recent results on cryptography, quantum bit commitment, quantum erasers and teleportation are also presented and discussed.
Автор: Edsberg Lennart Название: Introduction to Computation and Modeling for Differential Eq ISBN: 1119018447 ISBN-13(EAN): 9781119018445 Издательство: Wiley Рейтинг: Цена: 90760.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Uses mathematical, numerical, and programming tools to solve differential equations for physical phenomena and engineering problems
Introduction to Computation and Modeling for Differential Equations, Second Edition features the essential principles and applications of problem solving across disciplines such as engineering, physics, and chemistry. The Second Edition integrates the science of solving differential equations with mathematical, numerical, and programming tools, specifically with methods involving ordinary differential equations; numerical methods for initial value problems (IVPs); numerical methods for boundary value problems (BVPs); partial differential equations (PDEs); numerical methods for parabolic, elliptic, and hyperbolic PDEs; mathematical modeling with differential equations; numerical solutions; and finite difference and finite element methods.
The author features a unique "Five-M" approach: Modeling, Mathematics, Methods, MATLAB(R), and Multiphysics, which facilitates a thorough understanding of how models are created and preprocessed mathematically with scaling, classification, and approximation and also demonstrates how a problem is solved numerically using the appropriate mathematical methods. With numerous real-world examples to aid in the visualization of the solutions, Introduction to Computation and Modeling for Differential Equations, Second Edition includes:
New sections on topics including variational formulation, the finite element method, examples of discretization, ansatz methods such as Galerkin's method for BVPs, parabolic and elliptic PDEs, and finite volume methods
Numerous practical examples with applications in mechanics, fluid dynamics, solid mechanics, chemical engineering, heat conduction, electromagnetic field theory, and control theory, some of which are solved with computer programs MATLAB and COMSOL Multiphysics(R)
Additional exercises that introduce new methods, projects, and problems to further illustrate possible applications
A related website with select solutions to the exercises, as well as the MATLAB data sets for ordinary differential equations (ODEs) and PDEs
Introduction to Computation and Modeling for Differential Equations, Second Edition is a useful textbook for upper-undergraduate and graduate-level courses in scientific computing, differential equations, ordinary differential equations, partial differential equations, and numerical methods. The book is also an excellent self-study guide for mathematics, science, computer science, physics, and engineering students, as well as an excellent reference for practitioners and consultants who use differential equations and numerical methods in everyday situations.
Автор: Daniel Ashlock Название: Evolutionary Computation for Modeling and Optimization ISBN: 1441919694 ISBN-13(EAN): 9781441919694 Издательство: Springer Рейтинг: Цена: 67030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Concentrates on developing intuition about evolutionary computation and problem solving skills and tool sets.
Lots of applications and test problems, including a biotechnology chapter.
Автор: Miller Название: Numerical Analysis for Engineers and Scientists ISBN: 1107021081 ISBN-13(EAN): 9781107021082 Издательство: Cambridge Academ Рейтинг: Цена: 70750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Striking a balance between theory and practice, this graduate-level text is perfect for students in the applied sciences. It provides full coverage of classical methods with a clear explanation of how they work, together with sample programs and many practical examples to help students get started.
Автор: Karl?Olof Lindahl; Torsten Lindstr?m; Luigi G. Rod Название: Analysis, Probability, Applications, and Computation ISBN: 3030044580 ISBN-13(EAN): 9783030044589 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is a collection of short papers from the 11th International ISAAC Congress 2017 in Vaxjoe, Sweden. The papers, written by the best international experts, are devoted to recent results in mathematics with a focus on analysis.
Автор: Lord Название: An Introduction to Computational Stochastic PDEs ISBN: 0521728525 ISBN-13(EAN): 9780521728522 Издательство: Cambridge Academ Рейтинг: Цена: 60190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This comprehensive introduction to stochastic partial differential equations incorporates the effects of randomness into real-world models, offering graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. MATLAB (R) codes are included, so that readers can perform computations themselves and solve the test problems discussed.
Автор: Fred J. Hickernell, Peter Kritzer Название: Multivariate Algorithms and Information-Based Complexity ISBN: 3110633116 ISBN-13(EAN): 9783110633115 Издательство: Walter de Gruyter Цена: 128870.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics.
The books of this series are addressed to both specialists and advanced students.
Interested authors may submit book proposals to the Managing Editor or to any member of the Editorial Board.
Managing Editor Ulrich Langer, RICAM, Linz, Austria; Johannes Kepler University Linz, Austria
Автор: Jagdev Singh; Devendra Kumar; Hemen Dutta; Dumitru Название: Mathematical Modelling, Applied Analysis and Computation ISBN: 9811396078 ISBN-13(EAN): 9789811396076 Издательство: Springer Рейтинг: Цена: 107130.00 T Наличие на складе: Поставка под заказ. Описание: This book contains original research papers presented at the International Conference on Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur, India, on 6-8 July, 2018. Organized into 20 chapters, the book focuses on theoretical and applied aspects of various types of mathematical modelling such as equations of various types, fuzzy mathematical models, automata, Petri nets and bond graphs for systems of dynamic nature and the usage of numerical techniques in handling modern problems of science, engineering and finance. It covers the applications of mathematical modelling in physics, chemistry, biology, mechanical engineering, civil engineering, computer science, social science and finance. A wide variety of dynamical systems like deterministic, stochastic, continuous, discrete or hybrid, with respect to time, are discussed in the book. It provides the mathematical modelling of various problems arising in science and engineering, and also new efficient numerical approaches for solving linear and nonlinear problems and rigorous mathematical theories, which can be used to analyze a different kind of mathematical models. The conference was aimed at fostering cooperation among students and researchers in areas of applied analysis, engineering and computation with the deliberations to inculcate new research ideas in their relevant fields. This volume will provide a comprehensive introduction to recent theories and applications of mathematical modelling and numerical simulation, which will be a valuable resource for graduate students and researchers of mathematical modelling and industrial mathematics.
Автор: Martinsson, Per-gunnar Название: Fast direct solvers for elliptic pdes ISBN: 1611976030 ISBN-13(EAN): 9781611976038 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 72730.00 T Наличие на складе: Невозможна поставка. Описание: Fast solvers for elliptic PDEs form a pillar of scientific computing. They enable detailed and accurate simulations of electromagnetic fields, fluid flows, biochemical processes, and much more. This textbook provides an introduction to fast solvers from the point of view of integral equation formulations, which lead to unparalleled accuracy and speed in many applications. The focus is on fast algorithms for handling dense matrices that arise in the discretization of integral operators, such as the fast multipole method and fast direct solvers. While the emphasis is on techniques for dense matrices, the text also describes how similar techniques give rise to linear complexity algorithms for computing the inverse or the LU factorization of a sparse matrix resulting from the direct discretization of an elliptic PDE.This is the first textbook to detail the active field of fast direct solvers, introducing readers to modern linear algebraic techniques for accelerating computations, such as randomized algorithms, interpolative decompositions, and data-sparse hierarchical matrix representations. Written with an emphasis on mathematical intuition rather than theoretical details, it is richly illustrated and provides pseudocode for all key techniques.Fast Direct Solvers for Elliptic PDEs is appropriate for graduate students in applied mathematics and scientific computing, engineers and scientists looking for an accessible introduction to integral equation methods and fast solvers, and researchers in computational mathematics who want to quickly catch up on recent advances in randomized algorithms and techniques for working with data-sparse matrices.
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