Subjects -> MATHEMATICS (Total: 1100 journals)
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MATHEMATICS (812 journals)            First | 1 2 3 4 5     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of Computational Physics     Hybrid Journal   (Followers: 70)
Journal of Computational Physics : X     Open Access   (Followers: 1)
Journal of Computer Engineering, System and Science (CESS)     Open Access  
Journal of Contemporary Mathematical Analysis     Hybrid Journal  
Journal of Cryptology     Hybrid Journal   (Followers: 3)
Journal of Difference Equations and Applications     Hybrid Journal  
Journal of Differential Equations     Full-text available via subscription   (Followers: 1)
Journal of Discrete Algorithms     Hybrid Journal   (Followers: 4)
Journal of Discrete Mathematics     Open Access   (Followers: 1)
Journal of Dynamics and Differential Equations     Hybrid Journal  
Journal of Engineering Mathematics     Hybrid Journal   (Followers: 2)
Journal of Evolution Equations     Hybrid Journal  
Journal of Experimental Algorithmics     Full-text available via subscription   (Followers: 1)
Journal of Flood Risk Management     Hybrid Journal   (Followers: 13)
Journal of Formalized Reasoning     Open Access   (Followers: 2)
Journal of Function Spaces     Open Access  
Journal of Functional Analysis     Full-text available via subscription   (Followers: 2)
Journal of Geochemical Exploration     Hybrid Journal   (Followers: 1)
Journal of Geological Research     Open Access   (Followers: 1)
Journal of Geovisualization and Spatial Analysis     Hybrid Journal  
Journal of Global Optimization     Hybrid Journal   (Followers: 6)
Journal of Global Research in Mathematical Archives     Open Access   (Followers: 1)
Journal of Group Theory     Hybrid Journal   (Followers: 2)
Journal of Homotopy and Related Structures     Hybrid Journal  
Journal of Honai Math     Open Access  
Journal of Humanistic Mathematics     Open Access   (Followers: 1)
Journal of Hyperbolic Differential Equations     Hybrid Journal  
Journal of Indian Council of Philosophical Research     Hybrid Journal  
Journal of Industrial Mathematics     Open Access   (Followers: 2)
Journal of Inequalities and Applications     Open Access  
Journal of Infrared, Millimeter and Terahertz Waves     Hybrid Journal   (Followers: 2)
Journal of Integrable Systems     Open Access   (Followers: 1)
Journal of K-Theory     Full-text available via subscription  
Journal of Knot Theory and Its Ramifications     Hybrid Journal   (Followers: 1)
Journal of Kufa for Mathematics and Computer     Open Access   (Followers: 1)
Journal of Liquid Chromatography & Related Technologies     Hybrid Journal   (Followers: 7)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal  
Journal of Manufacturing Systems     Full-text available via subscription   (Followers: 4)
Journal of Mathematical Analysis and Applications     Full-text available via subscription   (Followers: 4)
Journal of mathematical and computational science     Open Access   (Followers: 7)
Journal of Mathematical and Fundamental Sciences     Open Access  
Journal of Mathematical Behavior     Hybrid Journal   (Followers: 2)
Journal of Mathematical Chemistry     Hybrid Journal   (Followers: 3)
Journal of Mathematical Cryptology     Hybrid Journal   (Followers: 1)
Journal of Mathematical Extension     Open Access   (Followers: 3)
Journal of Mathematical Finance     Open Access   (Followers: 8)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 2)
Journal of Mathematical Modelling and Algorithms     Hybrid Journal   (Followers: 1)
Journal of Mathematical Neuroscience     Open Access   (Followers: 10)
Journal of Mathematical Sciences     Hybrid Journal  
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 2)
Journal of Mathematical Sociology     Hybrid Journal   (Followers: 3)
Journal of Mathematics     Open Access  
Journal of Mathematics and Statistics     Open Access   (Followers: 8)
Journal of Mathematics and the Arts     Hybrid Journal   (Followers: 2)
Journal of Mathematics Education at Teachers College     Open Access   (Followers: 2)
Journal of Mathematics in Industry     Open Access  
Journal of Mathematics Research     Open Access   (Followers: 6)
Journal of Metallurgy     Open Access   (Followers: 7)
Journal of Modern Mathematics Frontier     Open Access  
Journal of Multidisciplinary Modeling and Optimization     Open Access  
Journal of Multivariate Analysis     Hybrid Journal   (Followers: 13)
Journal of Natural Sciences and Mathematics Research     Open Access  
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 4)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 1)
Journal of Nonlinear Science     Hybrid Journal   (Followers: 1)
Journal of Numerical Cognition     Open Access  
Journal of Numerical Mathematics     Hybrid Journal   (Followers: 2)
Journal of Optimization     Open Access   (Followers: 4)
Journal of Peridynamics and Nonlocal Modeling     Hybrid Journal  
Journal of Problem Solving     Open Access   (Followers: 2)
Journal of Progressive Research in Mathematics     Open Access   (Followers: 1)
Journal of Pseudo-Differential Operators and Applications     Hybrid Journal  
Journal of Pure and Applied Algebra     Full-text available via subscription   (Followers: 4)
Journal of Quantitative Analysis in Sports     Hybrid Journal   (Followers: 8)
Journal of Quantitative Linguistics     Hybrid Journal   (Followers: 6)
Journal of Scientific Computing     Hybrid Journal   (Followers: 18)
Journal of Scientific Research     Open Access  
Journal of Symbolic Computation     Hybrid Journal   (Followers: 1)
Journal of the Australian Mathematical Society     Full-text available via subscription  
Journal of the Egyptian Mathematical Society     Open Access  
Journal of the European Mathematical Society     Full-text available via subscription   (Followers: 1)
Journal of the Indian Mathematical Society     Hybrid Journal   (Followers: 1)
Journal of the Institute of Mathematics of Jussieu     Hybrid Journal  
Journal of the London Mathematical Society     Hybrid Journal   (Followers: 2)
Journal of the Nigerian Mathematical Society     Open Access   (Followers: 1)
Journal of Theoretical and Applied Physics     Open Access   (Followers: 8)
Journal of Topology and Analysis     Hybrid Journal  
Journal of Transport and Supply Chain Management     Open Access   (Followers: 15)
Journal of Turbulence     Hybrid Journal   (Followers: 8)
Journal of Uncertainty Analysis and Applications     Open Access  
Journal of Universal Mathematics     Open Access  
Journal of Urban Regeneration & Renewal     Full-text available via subscription   (Followers: 11)
Journal of Water and Land Development     Open Access   (Followers: 3)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 4)
JUMLAHKU : Jurnal Matematika Ilmiah STKIP Muhammadiyah Kuningan     Open Access   (Followers: 5)
JURING (Journal for Research in Mathematics Learning)     Open Access   (Followers: 1)
Jurnal Ilmiah AdMathEdu     Open Access  
Jurnal Matematika     Open Access   (Followers: 1)
Jurnal Matematika Integratif     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Jurnal Natural     Open Access  
Jurnal Pendidikan Matematika Raflesia     Open Access  
Jurnal Penelitian Pembelajaran Matematika Sekolah     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Jurnal Tadris Matematika     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Kontinu : Jurnal Penelitian Didaktik Matematika     Open Access   (Followers: 3)
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access   (Followers: 5)
Le Matematiche     Open Access  
Learning and Teaching Mathematics     Full-text available via subscription   (Followers: 7)
Lettera Matematica     Hybrid Journal  
Lietuvos Matematikos Rinkinys     Open Access   (Followers: 3)
Limits : Journal of Mathematics and Its Applications     Open Access   (Followers: 1)
Linear Algebra and its Applications     Full-text available via subscription   (Followers: 23)
Linear and Multilinear Algebra     Hybrid Journal   (Followers: 8)
Lithuanian Mathematical Journal     Hybrid Journal  
LMS Journal of Computation and Mathematics     Free  
Lobachevskii Journal of Mathematics     Open Access  
Logic and Analysis     Hybrid Journal  
Logic Journal of the IGPL     Hybrid Journal  
Logica Universalis     Hybrid Journal  
manuscripta mathematica     Hybrid Journal  
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Marine Genomics     Hybrid Journal   (Followers: 2)
Matemáticas, Educación y Sociedad     Open Access  
Matematicheskie Zametki     Full-text available via subscription  
Matematika     Open Access  
Matematychni Studii     Open Access  
Mathematica Eterna     Open Access  
Mathematica Scandinavica     Full-text available via subscription   (Followers: 1)
Mathematica Slovaca     Hybrid Journal   (Followers: 1)
Mathematical and Computational Forestry & Natural-Resource Sciences     Free  
Mathematical Communications     Open Access  
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Geosciences     Hybrid Journal   (Followers: 3)
Mathematical Medicine and Biology: A Journal of the IMA     Hybrid Journal   (Followers: 1)
Mathematical Methods in the Applied Sciences     Hybrid Journal   (Followers: 4)
Mathematical Methods of Statistics     Hybrid Journal   (Followers: 4)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Mathematical Modelling in Civil Engineering     Open Access   (Followers: 5)
Mathematical Modelling of Natural Phenomena     Full-text available via subscription   (Followers: 1)
Mathematical Models and Methods in Applied Sciences     Hybrid Journal   (Followers: 2)
Mathematical Models in Engineering     Open Access   (Followers: 2)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 2)
Mathematical Programming Computation     Hybrid Journal   (Followers: 3)
Mathematical Sciences     Open Access  
Mathematical Social Sciences     Hybrid Journal   (Followers: 1)
Mathematical Theory and Modeling     Open Access   (Followers: 13)
Mathematical Thinking and Learning     Hybrid Journal   (Followers: 3)
Mathematics and Statistics     Open Access   (Followers: 5)
Mathematics Education Forum Chitwan     Open Access   (Followers: 1)
Mathematics Education Journal     Open Access   (Followers: 1)
Mathematics Education Research Journal     Partially Free   (Followers: 17)
Mathematics in Science and Engineering     Full-text available via subscription  
Mathematics of Control, Signals, and Systems (MCSS)     Hybrid Journal   (Followers: 5)
Mathematics of Quantum and Nano Technologies     Open Access  
Mathématiques et sciences humaines     Open Access   (Followers: 7)
Mathematische Annalen     Hybrid Journal   (Followers: 1)
Mathematische Nachrichten     Hybrid Journal   (Followers: 1)
Mathematische Semesterberichte     Hybrid Journal  
Mathematische Zeitschrift     Hybrid Journal   (Followers: 1)
MATI : Mathematical Aspects of Topological Indeces     Open Access  
MATICS     Open Access   (Followers: 2)
Matrix Science Mathematic     Open Access   (Followers: 1)
Measurement Science Review     Open Access   (Followers: 3)
Mediterranean Journal of Mathematics     Hybrid Journal  
Memetic Computing     Hybrid Journal  
Mendel : Soft Computing Journal     Open Access  
Metaheuristics     Hybrid Journal  
Metals and Materials International     Hybrid Journal  
Metascience     Hybrid Journal   (Followers: 1)
Milan Journal of Mathematics     Hybrid Journal  
Mitteilungen der DMV     Hybrid Journal  
MLQ- Mathematical Logic Quarterly     Hybrid Journal  
MONA : Matematik- og Naturfagsdidaktik     Hybrid Journal   (Followers: 3)
Monatshefte fur Mathematik     Hybrid Journal  
Moroccan Journal of Pure and Applied Analysis     Open Access   (Followers: 4)
Moscow University Mathematics Bulletin     Hybrid Journal  
MSOR Connections     Open Access   (Followers: 1)
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 3)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 1)
Nagoya Mathematical Journal     Hybrid Journal  
Nano Research     Hybrid Journal   (Followers: 4)
Nanotechnologies in Russia     Hybrid Journal   (Followers: 1)
Natural Resource Modeling     Hybrid Journal   (Followers: 1)
New Mathematics and Natural Computation     Hybrid Journal  
Nonlinear Analysis : Modelling and Control     Open Access   (Followers: 1)
Nonlinear Analysis : Theory, Methods & Applications     Hybrid Journal   (Followers: 1)
Nonlinear Analysis: Hybrid Systems     Hybrid Journal  
Nonlinear Analysis: Real World Applications     Hybrid Journal   (Followers: 2)
Nonlinear Differential Equations and Applications NoDEA     Hybrid Journal  
Nonlinear Engineering     Open Access  
Nonlinear Oscillations     Hybrid Journal   (Followers: 1)
North Carolina Journal of Mathematics and Statistics     Open Access  
North-Holland Mathematical Library     Full-text available via subscription   (Followers: 1)

  First | 1 2 3 4 5     

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Mathematics in Science and Engineering
Number of Followers: 0  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 0076-5392
Published by Elsevier Homepage  [3203 journals]
  • Chapter 1 Overview of Partial Differential Equations
    • Abstract: 2010
      Publication year: 2010
      Source:Mathematics in Science and Engineering, Volume 213

      Chapter 1 begins with some examples of partial differential equations in science and engineering and their linearization and dispersion equations. The concepts of well-posedness, regularity, and solution operator for systems of partial differential equations (PDE’s) are discussed. Instabilities can arise from both numerical methods and from real physical instabilities. Some physical instabilities are described, including: (a) the distinction between convective and absolute instabilities, (b) the Rayleigh-Taylor and Kelvin-Helmholtz instabilities in fluids, (c) wave breaking and gradient catastrophe in gas dynamics and in conservation laws, (d) modulational or Benjamin Feir instabilities and nonlinear Schrödinger related equations, (e) three-wave resonant interactions and explosive instabilities associated with negative energy waves. Basic wave concepts are described (e.g. wave-number surfaces, group velocity, wave action, wave diffraction, and wave energy equations). A project from semiconductor transport modeling is described.

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 2 Discretization Methods
    • Abstract: 2010
      Publication year: 2010
      Source:Mathematics in Science and Engineering, Volume 213

      Discretization of partial differential equations (PDEs) is based on the theory of function approximation, with several key choices to be made: an integral equation formulation, or approximate solution operator; the type of discretization, defined by the function subspace in which the solution is approximated; the choice of grids, e.g. regular versus irregular grids to conform to the geometry, or static versus solution adaptive grids. We explore some of the common approaches to the choice of form of the PDE and the space-time discretization, leaving discussion of the grids for a later chapter. The goal is to introduce the reader to various forms of discretization and to illustrate the numerical performance of different methods. In particular, we will address how to choose a method that is accurate, robust and efficient for the problem at hand.

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 3 Convergence Theory for Initial Value Problems
    • Abstract: 2010
      Publication year: 2010
      Source:Mathematics in Science and Engineering, Volume 213

      The convergence theory for numerical methods approximating time-dependent problems parallels the theory of ordinary differential equations (ODEs) where two types of behavior are studied, namely: (1) the finite time solution and (2) the long-time asymptotic behavior where the solution either passes through an initial transient state and sets into a steady state, or evolves into a periodic or chaotic motion, or escapes to infinity. We describe the notions of consistency, stability, local and global error estimates, resolution and order of accuracy, followed by Lax-Richtmyer equivalence theorem. The rest of the chapter is devoted to practical implications of the convergence theory in terms of the resolution and error estimates together with von Neumann and CFL stability restrictions.

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 4 Numerical Boundary Conditions
    • Abstract: 2010
      Publication year: 2010
      Source:Mathematics in Science and Engineering, Volume 213

      Boundary conditions arise in the process of numerical implementation of given physical boundary conditions on the original physical or truncated domain due to restrictions imposed by computational resources. The latter situation is often encountered when an infinite domain is truncated or remapped onto a finite computational domain. Numerical implementation of the physical or numerical interface boundary conditions should preserve the accuracy and stability of the inner numerical method. The inaccuracies and instabilities created by numerical implementation of the interface and boundary conditions may be localized at the boundaries or interfaces, but more often they may propagate through out the whole computational domain. Examples include: (a) transparent boundary conditions for hyperbolic and dispersive systems, (b) Berenger’s perfectly matched layer (PML) boundary conditions applied to Maxwell’s equations (c) stability analysis in the presence of boundaries and interfaces, and (d) grid interfaces and material interfaces in semi-conductor device simulation models, and finite-difference time-domain (FDTD) discretization of Maxwell’s equations.

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 5 Problems with Multiple Temporal and Spatial Scales
    • Abstract: 2010
      Publication year: 2010
      Source:Mathematics in Science and Engineering, Volume 213

      Problems with multiple disparate temporal and spatial scales are at the heart of most physical problems, as well as in mathematical modeling problems, in economics and social sciences. Numerical treatment usually allows one to deal with two, or at most, three disparate scales due to limitations of computer resources. Problems with different scales arise when the interest is in the description of the problem on the larger scales, for example the motion of weather fronts in the presence of fast gravity waves; the average trajectory of a fast rotating charged particle in a magnetic field, in which one averages over the fast gyro-period of the particle; the behavior of society incorporating the dynamics of individuals; the role of singularities in solutions of differential equations or the role of geometry; etc. The methods of dealing with such problems are based on either resolving (if ever possible) or not resolving the fine scales. In the latter case, asymptotic analysis of the dominant terms is often used to separate scales or compute the cumulative effect of the small scale motion on the large scale dynamics. For problems where scales are weakly coupled, numerical treatment may often produce physical results as long as the choice of the method has remnants of the smaller scale behavior such as: damping, diffusion, dispersion, etc. For the second type of problem, under-resolved numerical computations usually never produce physical results as cumulative effects are not of the form of the truncation errors, in addition to the fact that the details of the small scale motion are important and have to be accounted for on either a theoretical or experimental basis. In this Chapter we consider examples from stiff ODEs, long-time integrators, Hamiltonian systems, multi-symplectic systems, hyperbolic conservation laws, Godunov methods, Riemann solvers with slope/flux limiters.

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 6 Numerical Grid Generation
    • Abstract: 2010
      Publication year: 2010
      Source:Mathematics in Science and Engineering, Volume 213

      In this chapter we overview the basic ideas behind numerical grid adaptation to geometrical features of the domain, its interfaces and boundaries, as well as adaptation to the solution features, such as high gradients, that are often employed to improve the accuracy and efficiency of the computation. Through representative examples we discuss implementation and stability issues for static and dynamic remapping grid generation methods. The last two sections describe Level Set and Front Tracking Methods for propagating moving interfaces and fronts.

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 1 Bibliography
    • Abstract: 2010
      Publication year: 2010
      Source:Mathematics in Science and Engineering, Volume 213



      PubDate: 2012-12-15T09:32:59Z
       
  • Recent titles
    • Abstract: 2010
      Publication year: 2010
      Source:Mathematics in Science and Engineering, Volume 213



      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 1 Overview
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 212

      This chapter discusses the theoretical and practical aspects of computational methods for mathematical modeling of nonlinear systems. A number of computational techniques are considered in the chapter, such as: (1) methods of operator approximation with any given accuracy, (2) operator interpolation techniques including a non-Lagrange interpolation, (3) methods of system representation subject to constraints associated with concepts of causality, memory and stationarity, (4) methods of system representation with an accuracy that is the best within a given class of models, (5) methods of covariance matrix estimation, (6) methods for low-rank matrix approximations, (7) hybrid methods based on a combination of iterative procedures and best operator approximation, and (8) methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 2 Nonlinear operator approximation with preassigned accuracy
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 212

      This chapter describes the existence theorems for approximating operators of preassigned accuracy and numerical schemes for their practical realization. Nonlinear systems theory is a direct area of applications for the methods of nonlinear operator approximation. The structures of approximating operators considered in the chapter cannot directly extend to the approximation of operators acting on abstract Banach spaces. A number of specific examples are presented for the particular purpose of illustrating the theoretical results. These examples are used as an underlying polynomial algebra, but this is simply a matter of theoretical convenience. While this assumption may not be strictly correct, the errors involved are limited only by machine accuracy, and in principle do not disrupt the analysis. To justify the approximation process, the chapter imposes a basic topological structure and uses the consequent notions of continuity to establish theorems of Weierstrass type.

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 3 Interpolation of nonlinear operators
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 212

      This chapter discusses the fundamental principles of the general theory for nonlinear operator interpolation. Interpolating operators are naturally connected to the modeling of nonlinear systems. The most widely known formula for interpolation is the formula for real valued functions on the real line, given by Joseph Louis Lagrange. The Lagrange formula is extended to the interpolation of mappings on more general vector spaces. The formula was developed in association with a systematic study of multi-linear mappings that formed the basis of a generalized Weierstrass approximation theorem in Banach space. The weak interpolation can become a strong interpolation in the case of a finite dimensional range space, and when the parameters are chosen appropriately and the output evaluation set is sufficiently fine, it can also provide an approximation to the original mapping in terms of the uniform norm on C([0,1]).

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 4 Realistic operators and their approximation
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 212

      This chapter discusses the unified approach to finding mathematical models of a realistic dynamical system that represents the system with any pre-assigned accuracy. Constructively defined operators containing special properties give the models. “A realistic dynamical system” means an object with real-world properties, such as causality, memory, stationarity, and so on. Each object can be defined by a legend of historical information. The legend represents the complete history of the object and specifies the state of the object at all times. The current legend specifies the current state. The systematic evolution of state for a collection of real world objects is called a “dynamical system.” The system is specified by specifying each pair of initial and final states. Any such collection of input–output pairs defines a realistic operator. For many centuries, the modeling of real-world objects is a primary interest for both natural science and philosophy.

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 5 Methods of best approximation for nonlinear operators
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 212

      This chapter discusses the new approaches for the best constructive approximation of nonlinear operators in deterministic and probability spaces. The theory of operator approximation has a direct application to the mathematical modeling of nonlinear systems. Methods of constructive representation of nonlinear systems are a topic of intensive research. The model must approximate the system in a certain sense subject to some restrictions. Such restrictions follow, in particular, from initial known information on the system. For example, in the case of the system transforming deterministic signals, this information can be given by equations describing the signals sets. A number of deep theoretical results related to the investigation of existence, uniqueness, and characterization of elements of the best approximation are established. In many applications, the spaces of images and pre-images are probabilistic and their elements cannot be written analytically. Applications to modeling of nonlinear systems are also discussed in the chapter.

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 6 Computational methods for optimal filtering of stochastic
           signals
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 212

      This chapter discusses the different approaches and computational methods for constructing mathematical models for optimal filtering of stochastic signals. The chapter gives wide generalizations of the known Wiener filter to the cases, when an associated linear operator is not invertible, noise is arbitrary, and the filter should satisfy conditions of causality and different types of memory. The chapter outlines a theoretical basis for the description of random vectors with realizations in Banach space. It follows the methods of Halmos, Dunford and Schwartz, and Yosida. Although many of the results are natural extensions of the results for real–valued random variables, the extensions are nontrivial. This material is essential for a proper understanding of the expectation operator. The theory of random vectors in Hilbert space is an extension of the theory of random vectors in Banach space.

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 7 Computational methods for optimal compression and reconstruction
           of random data
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 212

      This chapter describes computational methods for simultaneous data dimensionality reduction and filtering, and subsequent data reconstruction with maximum possible accuracy. Computational methods that are discussed in the chapter are based on the solution of best approximation problems, special iterative procedures and their combination. In signal processing, data dimensionality reduction (often called “compression”) is motivated by a necessity to diminish expenditures for transmission, processing, and storage of large signal arrays. In statistics, data dimensionality reduction is often identified with a procedure for finding so-called principal components of a large random vector—for example, of components of a smaller vector, which preserves principal features of the original vector. The chapter also discusses the standard principal component analysis and Karhunen-Loéve Transform (PCA–KLT). Variations of the degrees of freedom allow for improving the performance of the methods for data processing are also presented in this chapter.

      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 1 Modeling in process technology
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 211



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  • Chapter 2 Principles of stochastic process modeling
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 211



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  • Chapter 3 Batch fluidized beds
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 211



      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 4 Continuous systems and residence time distribution
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 211



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  • Chapter 5 RTD in continuous fluidized beds
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 211



      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 6 Mixing and chemical reactions in stirred tank reactors
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 211



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  • Chapter 7 Particle size manipulation
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 211



      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 8 Multiphase systems
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 211



      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 9 Diffusion limits
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 211



      PubDate: 2012-12-15T09:32:59Z
       
  • Appendix A Equations for RTD in CSTR and DPF
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 211



      PubDate: 2012-12-15T09:32:59Z
       
  • List of figures
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 210



      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 1 Introduction
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 210



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  • Chapter 2 Linear models in economics
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 210



      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 3 Linear dynamic models of an economy
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 210



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  • Chapter 4 Optimization and equilibria
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 210



      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 5 Nonlinear economic equilibrium models
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 210



      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 6 Transportation and migration models
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 210



      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 7 Complementarity with Z properties
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 210



      PubDate: 2012-12-15T09:32:59Z
       
  • Chapter 8 Applications
    • Abstract: 2007
      Publication year: 2007
      Source:Mathematics in Science and Engineering, Volume 210



      PubDate: 2012-12-15T09:32:59Z
       
 
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