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Variational Solutions Of The Transport Equation
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Book Synopsis Variational Solutions of the Transport Equation by : Emmanouil A. Chaniotakis
Download or read book Variational Solutions of the Transport Equation written by Emmanouil A. Chaniotakis and published by . This book was released on 1990 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Variational Solutions of the Transport Equation by : N. C. Francis
Download or read book Variational Solutions of the Transport Equation written by N. C. Francis and published by . This book was released on 1958 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solution of the transport equation by variational finite-element approximations by : Juhani Pitkaeranta
Download or read book Solution of the transport equation by variational finite-element approximations written by Juhani Pitkaeranta and published by . This book was released on 1975 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Value Problems for Transport Equations by : Valeri Agoshkov
Download or read book Boundary Value Problems for Transport Equations written by Valeri Agoshkov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the modern theory of boundary value problems the following ap proach to investigation is agreed upon (we call it the functional approach): some functional spaces are chosen; the statements of boundary value prob the basis of these spaces; and the solvability of lems are formulated on the problems, properties of solutions, and their dependence on the original data of the problems are analyzed. These stages are put on the basis of the correct statement of different problems of mathematical physics (or of the definition of ill-posed problems). For example, if the solvability of a prob lem in the functional spaces chosen cannot be established then, probably, the reason is in their unsatisfactory choice. Then the analysis should be repeated employing other functional spaces. Elliptical problems can serve as an example of classical problems which are analyzed by this approach. Their investigations brought a number of new notions and results in the theory of Sobolev spaces W;(D) which, in turn, enabled us to create a sufficiently complete theory of solvability of elliptical equations. Nowadays the mathematical theory of radiative transfer problems and kinetic equations is an extensive area of modern mathematical physics. It has various applications in astrophysics, the theory of nuclear reactors, geophysics, the theory of chemical processes, semiconductor theory, fluid mechanics, etc. [25,29,31,39,40, 47, 52, 78, 83, 94, 98, 120, 124, 125, 135, 146].
Book Synopsis Transport Equations in Biology by : Benoît Perthame
Download or read book Transport Equations in Biology written by Benoît Perthame and published by Springer Science & Business Media. This book was released on 2006-12-14 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions. The book further contains many original PDE problems originating in biosciences.
Book Synopsis Solution of the Transport Equation by Variational Finite-element Approximations by : Juhani Pitkäranta
Download or read book Solution of the Transport Equation by Variational Finite-element Approximations written by Juhani Pitkäranta and published by . This book was released on 1975 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Variational Solution to the Transport Equation Subject to an Affine Constraint by : Habib N. Najm
Download or read book A Variational Solution to the Transport Equation Subject to an Affine Constraint written by Habib N. Najm and published by . This book was released on 2004 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: We establish an existence and uniqueness theorem for the transport equation subject to an inequality affine constraint, viewed as a constrained optimization problem. Then we derive a Space-Time Integrated Least Squares (STILS) scheme for its numerical approximation. Furthermore, we discuss some L{sup 2}-projection strategies and with numerical examples we show that there are not relevant for that problem.
Book Synopsis Variational Analysis and Approximate Solutions for Transport Phenomena by : George A. Keramidas
Download or read book Variational Analysis and Approximate Solutions for Transport Phenomena written by George A. Keramidas and published by . This book was released on 1982 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: Certain concepts of classical mechanics are utilized to derive the variational formulation for a field partial differential equation. By introducing suitable parameters, it is demonstrated that the concepts of virtual work and generalized coordinates can be extended to the general transport equation and this equation can be translated into Lagrange's equations of mechanics. The system of equations may represent a large number of physical processes and it is not restricted by any means to a particular problem. The Lagrangian system of equations is most suitable for deriving approximate solutions and this is demonstrated by assuming a linear series expansion in terms of the generalized coordinates. Furthermore, it is shown that approximate methods, such as the finite element method, can be directly derived as a special application of the generalized approach. Examples of approximate solutions are given for some typical problems encountered in transport processes. (Author).
Book Synopsis Variational Solutions to the Neutron Transport Equation in P[subscript N] Approximation by : Mahendra Prinath Dias
Download or read book Variational Solutions to the Neutron Transport Equation in P[subscript N] Approximation written by Mahendra Prinath Dias and published by . This book was released on 1982 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Formulation and Analysis of Numerical Methods for Time Dependent Transport Equations by : Herbert Bishop Keller
Download or read book On the Formulation and Analysis of Numerical Methods for Time Dependent Transport Equations written by Herbert Bishop Keller and published by . This book was released on 1956 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations by : Maria Colombo
Download or read book Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations written by Maria Colombo and published by Springer. This book was released on 2017-06-07 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of the book is devoted to the transport equation for a given vector field, exploiting the lagrangian structure of solutions. It also treats the regularity of solutions of some degenerate elliptic equations, which appear in the eulerian counterpart of some transport models with congestion. The second part of the book deals with the lagrangian structure of solutions of the Vlasov-Poisson system, which describes the evolution of a system of particles under the self-induced gravitational/electrostatic field, and the existence of solutions of the semigeostrophic system, used in meteorology to describe the motion of large-scale oceanic/atmospheric flows.
Book Synopsis High Order Variational Solutions of Time-dependent Neutron Transport Problems by : Bruce Carl Wilson
Download or read book High Order Variational Solutions of Time-dependent Neutron Transport Problems written by Bruce Carl Wilson and published by . This book was released on 1985 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Transport Equation and Tomography by : D. S. Anikonov
Download or read book Transport Equation and Tomography written by D. S. Anikonov and published by VSP. This book was released on 2002 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals mainly with the results of the authors' research devoted to both the study of the transport equation (the linear Boltzmann equation) and its applications in X-ray tomography. The introduction gives an outline of the book and deals with certain aspects of the methodology. The first part of the book is devoted to the investigation of known and new problems for the stationary transport equation of a general form. New problems are treated as problems of tomography. The second part deals with the monoenergetic transport equation. This book will be of interest to specialists in transport theory and tomography.
Book Synopsis Truncation Errors in Numerical Solutions of the Transport Equation by : John Henry Bennett
Download or read book Truncation Errors in Numerical Solutions of the Transport Equation written by John Henry Bennett and published by . This book was released on 1962 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical solution is given of the transport equation for monoenergetic neutrons in a medium with isotropic scattering. The object is to determine the accuracy of the numerial methods generally used to solve the transport equation. The analyss is largely confined to the solution of the criticality problem for homogeneos slabs. A ritcality problem in X-Y geometry is also considered. The criterion of accurcy used is the difference between c, the number of secondary neutrons per collision required for criticality, and an approximation to c given by an N-parameter approximate method. (Author).
Book Synopsis Variational Difference Schemes for the Discrete Ordinate Transport Equation by : Juhani Pitkäranta
Download or read book Variational Difference Schemes for the Discrete Ordinate Transport Equation written by Juhani Pitkäranta and published by . This book was released on 1976 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Transport Theory written by Paul Nelson and published by CRC Press. This book was released on 2023-05-31 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes seminal papers on technical subjects—transport theory, invariant imbedding, and integral equations—presented as contributions to honour George Milt Wing in celebration of his 65th birth anniversary in 1988.
Book Synopsis Asymptotic Solutions for the Straight Ahead Transport Equation by : J. Ernest Wilkins (Jr.)
Download or read book Asymptotic Solutions for the Straight Ahead Transport Equation written by J. Ernest Wilkins (Jr.) and published by . This book was released on 1951 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: