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Books on the topic 'Parity equations'

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Published: 4 June 2021
Last updated: 16 February 2022

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1

International, Conference on Partial Differential Equations (2000 Clausthal Germany). Partial differential equations and spectral theory: PDE2000 Conference in Clausthal, Germany. Basel: Birkhäuser Verlag, 2001.

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2

Evans, G. Analytic methods for partial differential equations. London: Springer, 2000.

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3

Renardy, Michael. An introduction to partial differential equations. 2nd ed. New York: Springer, 1996.

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4

C, Rogers Robert, ed. An introduction to partial differential equations. 2nd ed. New York: Springer, 2004.

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5

Renardy, Michael. An introduction to partial differential equations. New York: Springer-Verlag, 1993.

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6

Nonlinear partial differential equations for scientists and engineers. Boston: Birkhäuser, 1997.

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7

Nonlinear partial differential equations for scientists and engineers. 2nd ed. Boston: Birkhäuser, 2005.

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8

Magalhães, Iorio Valéria de, ed. Fourier analysis and partial differential equations. Cambridge: Cambridge University Press, 2001.

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9

Kirk, Steven Robert. 3-D finite element solution of the even-party Boltzmann neutron transport equation. Salford: University ofSalford, 1992.

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10

Flavin, James N. Qualitative estimates for partial differential equations: An introduction. Boca Raton, Fla: CRC Press, 1996.

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11

Gu, Jinsheng. Domain decomposition methods for nonconforming finite element discretizations. Commack, N.Y: Nova Science Publishers, 1999.

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12

1938-, Puri Pratap, Schäferkotter Michael R. 1955-, and Kythe Prem K, eds. Partial differential equations and boundary value problems with Mathematica. 2nd ed. Boca Raton, Fla: Chapman & Hall/CRC, 2003.

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13

S, Gómez, Hennart J. P. 1942-, and Tapia Richard A, eds. Advances in numerical partial differential equations and optimization: Proceedings of the fifth Mexico-United States Workshop. Philadelphia: Society for Industrial and Applied Mathematics, 1991.

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14

Schatz, Albert H. Mathematical theory of finite and boundaryelement methods. Basel: Birkhäuser, 1990.

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15

G, Adomian, ed. Partial differential equations: New methods for their treatment and solution. Dordrecht: D. Reidel Pub. Co., 1985.

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16

1946-, Verwer J. G., ed. Numerical solution of time-dependent advection-diffusion-reaction equations. Berlin: Springer, 2003.

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17

Dix, Daniel Beach. Large-time behavior of solutions of linear dispersive equations. Berlin: Springer, 1997.

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18

Das, Indraneel. Normal-boundary intersection: An alternate method for generating Pareto optimal points in multicriteria optimization problems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1996.

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19

Gili︠a︡zov, S. F. Regularization of ill-posed problems by iteration methods. Doordrecht: Kluwer Academic Publishers, 2000.

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20

Bakushinskiĭ, A. B. Ill-posed problems: Theory and applications. Dordrecht: Kluwer Academic Publishers, 1994.

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21

Grusa, Karl-Ulrich. Mathematical analysis of nonlinear dynamic processes: An introduction to processes governed by partial differential equations. [Harlow, Essex, England]: Longman Scientific & Technical, 1988.

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22

Vol'vak, Sergey. Hydraulics. Workshop. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1045068.

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Study guide corresponds to the program discipline "Hydraulics". Consists of two parts and is for carrying out practical and laboratory works. The first part provides material on the basics of the calculation of hydraulic machines, hydraulic drives of agricultural machinery, systems of land reclamation and hydraulic transport for development of skills of application of theoretical information to solve specific technical problems and development practices of hydraulic calculations. The second part contains material for the study of the methods and instruments for measuring pressure, the study of the equation of Bernoulli, determination of hydraulic resistance, the study of the structure and principles of operation of positive displacement pumps and dynamic-type, cylinders, volumetric hydraulic drive and hydrodynamic transmission elements and schemes of irrigation systems and agricultural water supply. To conduct practical and laboratory classes for students of all forms of training in the direction of training 35.03.06 "Agroengineering", as well as for graduate students, teachers and technical workers of agriculture.
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23

B, Ingham Derek. The boundary element method for solving improperly posed problems. Southampton, UK: Computational Mechanics Pub., 1994.

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24

Kambiz, Salari, ed. Verification of computer codes in computational science and engineering. Boca Raton, Fla: Chapman & Hall/CRC Press, 2003.

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25

Luigi, Ambrosio, Colli P. 1958-, and Rodrigues José-Francisco, eds. Mathematical aspects of evolving interfaces: Lectures given at the C.I.M.-C.I.M.E. joint Euro-summer school held in Madeira, Funchal, Portugal, July 3-9, 2000. Berlin: Springer, 2003.

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26

Eriksson, K. Applied mathematics: Body and soul. Berlin: Springer, 2004.

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27

1952-, Bowers K. L., and Lund J, eds. Computation and control III: Proceedings of the Third Bozeman Conference, Bozeman, Montana, August 5-11, 1992. Boston: Birkhäuser, 1993.

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28

Rao, T. R. N. 1933-, Berg Gene A, and United States. National Aeronautics and Space Administration., eds. Generalized Bezout's theorem and its applications in coding theory. [Washington, DC: National Aeronautics and Space Administration, 1996.

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29

Rao, T. R. N. 1933-, Berg Gene A, and United States. National Aeronautics and Space Administration., eds. Generalized Bezout's theorem and its applications in coding theory. [Washington, DC: National Aeronautics and Space Administration, 1996.

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30

Morawetz, Klaus. Nonequilibrium Quantum Hydrodynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0015.

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The balance equations resulting from the nonlocal kinetic equation are derived. They show besides the Landau-like quasiparticle contributions explicit two-particle correlated parts which can be interpreted as molecular contributions. It looks like as if two particles form a short-living molecule. All observables like density, momentum and energy are found as a conserving system of balance equations where the correlated parts are in agreement with the forms obtained when calculating the reduced density matrix with the extended quasiparticle functional. Therefore the nonlocal kinetic equation for the quasiparticle distribution forms a consistent theory. The entropy is shown to consist also of a quasiparticle part and a correlated part. The explicit entropy gain is proved to complete the H-theorem even for nonlocal collision events. The limit of Landau theory is explored when neglecting the delay time. The rearrangement energy is found to mediate between the spectral quasiparticle energy and the Landau variational quasiparticle energy.
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31

Morawetz, Klaus. Quantum Kinetic Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0009.

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The gradient approximations of the Kadanoff and Baym equations are derived up to first order. The off-shell motions responsible for the satellites are shown to ensure causality. The cancellation of off-shell motions from the drift and correlation part of the reduced density provides a precursor of the kinetic equation for the quasiparticle distribution which leads to a functional between reduced and quasiparticle distribution, named the extended quasiparticle picture. Virial corrections appear as internal gradients in the selfenergy and therefore in the considered processes. With this extended quasiparticle picture, the non-Markovian kinetic equations are transformed into Markovian ones for proper defined quasiparticles without neglect showing the exact cancellation of off-shell parts. Alternative approaches are discussed for comparison.
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32

Horing, Norman J. Morgenstern. Q. M. Pictures; Heisenberg Equation; Linear Response; Superoperators and Non-Markovian Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0003.

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Three fundamental and equivalent mathematical frameworks (“pictures”) in which quantum theory can be lodged are exhibited and their relations and relative advantages/disadvantages are discussed: (1) The Schrödinger picture considers the dynamical development of the overall system state vector as a function of time relative to a fixed complete set of time-independent basis eigenstates; (2) The Heisenberg picture (convenient for the use of Green’s functions) embeds the dynamical development of the system in a time-dependent counter-rotation of the complete set of basis eigenstates relative to the fixed, time-independent overall system state, so that the relation of the latter fixed system state to the counter-rotating basis eigenstates is identically the same in the Heisenberg picture as it is in the Schrödinger picture; (3) the Interaction Picture addresses the situation in which a Hamiltonian, H=H0+H1, involves a part H0 whose equations are relatively easy to solve and a more complicated part, H1, treated perturbatively. The Heisenberg equation of motion for operators is discussed, and is applied to annihilation and creation operators. The S-matrix, density matrix and von Neumann equation, along with superoperators and non-Markovian kinetic equations are also addressed (e.g. the intracollisional field effect).
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33

Porterfield, Amanda, John Corrigan, and Darren E. Grem. Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190280192.003.0001.

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Beginning with the intertwining of commerce and Christianity in the colonial era, the Introduction offers a historical framework for understanding the evolving relationship between American religious organizations and consumer capitalism. From the move toward parity between religious and commercial organizations under the aegis of contract law in the early American republic to the infusion of business practices into religious organizations beginning in the nineteenth century, and finally to recent equations of religion and prosperity and the strategic use of religion as a marketing tool for business growth, this chapter identifies business practices and economic theories embedded within the history of American religious organizations. The chapter calls for more attention to the business side of religion as not only a neglected aspect of American religious history but also a new way of understanding that history.
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34

Mann, Peter. Canonical & Gauge Transformations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0018.

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In this chapter, the Hamilton–Jacobi formulation is discussed in two parts: from a generating function perspective and as a variational principle. The Poincaré–Cartan 1-form is derived and solutions to the Hamilton–Jacobi equations are discussed. The canonical action is examined in a fashion similar to that used for analysis in previous chapters. The Hamilton–Jacobi equation is then shown to parallel the eikonal equation of wave mechanics. The chapter discusses Hamilton’s principal function, the time-independent Hamilton–Jacobi equation, Hamilton’s characteristic function, the rectification theorem, the Maupertius action principle and the Hamilton–Jacobi variational problem. The chapter also discusses integral surfaces, complete integral hypersurfaces, completely separable solutions, the Arnold–Liouville integrability theorem, general integrals, the Cauchy problem and de Broglie–Bohm mechanics. In addition, an interdisciplinary example of medical imaging is detailed.
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35

Chemin, Jean-Yves, Benoit Desjardins, Isabelle Gallagher, and Emmanuel Grenier. Mathematical Geophysics. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198571339.001.0001.

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Aimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology, and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The text is divided into four parts, with the first part providing the physical background of the geophysical models to be analyzed. Part two is devoted to a self contained proof of the existence of weak (or strong) solutions to the imcompressible Navier-Stokes equations. Part three deals with the rapidly rotating Navier-Stokes equations, first in the whole space, where dispersion effects are considered. The case where the domain has periodic boundary conditions is then analyzed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinated and those in R2. In Part IV, the stability of Ekman boundary layers and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed. The boundary layers which appear near vertical walls are presented and formally linked with the classical Prandlt equations. Finally spherical layers are introduced, whose study is completely open.
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36

Maggiore, Michele. Gravitational Waves. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198570899.001.0001.

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A comprehensive and detailed account of the physics of gravitational waves and their role in astrophysics and cosmology. The part on astrophysical sources of gravitational waves includes chapters on GWs from supernovae, neutron stars (neutron star normal modes, CFS instability, r-modes), black-hole perturbation theory (Regge-Wheeler and Zerilli equations, Teukoslky equation for rotating BHs, quasi-normal modes) coalescing compact binaries (effective one-body formalism, numerical relativity), discovery of gravitational waves at the advanced LIGO interferometers (discoveries of GW150914, GW151226, tests of general relativity, astrophysical implications), supermassive black holes (supermassive black-hole binaries, EMRI, relevance for LISA and pulsar timing arrays). The part on gravitational waves and cosmology include discussions of FRW cosmology, cosmological perturbation theory (helicity decomposition, scalar and tensor perturbations, Bardeen variables, power spectra, transfer functions for scalar and tensor modes), the effects of GWs on the Cosmic Microwave Background (ISW effect, CMB polarization, E and B modes), inflation (amplification of vacuum fluctuations, quantum fields in curved space, generation of scalar and tensor perturbations, Mukhanov-Sasaki equation,reheating, preheating), stochastic backgrounds of cosmological origin (phase transitions, cosmic strings, alternatives to inflation, bounds on primordial GWs) and search of stochastic backgrounds with Pulsar Timing Arrays (PTA).
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37

Hicken, Allen. Party Systems and the Politics of Development. Edited by Carol Lancaster and Nicolas van de Walle. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780199845156.013.28.

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This article examines the correlation between economic development and the party system. More specifically, it considers the extent to which certain features of the party system should be included on the right-hand side of development regression equations, or whether the party system should be taken into account when selecting cases for a qualitative study of development. The chapter first outlines some necessary conditions for economic development, with particular emphasis on those conditions with roots in policy-making and actor agency. It then discusses three dimensions of the party system—the number of political parties, nationalization, and institutionalization—and whether they help shape the incentives and capabilities of policy-makers to adopt policies that promote development.
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38

Demuth, Michael, Ingo Witt, and Bert-Wolfgang Schulze. Partial Differential Equations and Spectral Theory. Springer, 2011.

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39

Demuth, Michael, Ingo Witt, and Bert-Wolfgang Schulze. Partial Differential Equations and Spectral Theory. Birkhäuser, 2014.

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40

Partial Differential Equations and Spectral Theory: Pde2000 Conference in Clausthal, Germany (Operator Theory, Advances and Applications, V. 126). Birkhauser, 2001.

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41

(Editor), Michael Demuth, and Bert-Wolfgang Schulze (Editor), eds. Partial Differential Equations and Spectral Theory (Operator Theory: Advances and Applications). Birkhäuser Basel, 2001.

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42

Evans, G., J. Blackledge, and P. Yardley. Analytic Methods for Partial Differential Equations. Springer, 1999.

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43

C, Rogers Robert, and Michael Renardy. An Introduction to Partial Differential Equations. Springer New York, 2010.

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44

Barbu, V. Optimization, Optimal Control and Partial Differential Equations. Springer, 2012.

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45

Sherwood, Dennis, and Paul Dalby. Mathematical round up. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198782957.003.0021.

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This chapter draws together all the main mathematical equations into a single, structured, sequence, so providing a source of reference, as well as enabling the student to appreciate how superficially different equations are, in fact, component parts of a ‘bigger picture’. The chapter also introduces some new material, such as the Maxwell relations, the chain rule, the thermodynamic equations-of-state, isenthalpic throttling processes, the Joule-Thomson coefficient and the compressibility factor – so setting the scene for the discussion of real systems in the following chapter.
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46

Isett, Philip. Structure of the Book. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0002.

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This chapter provides an overview of the book's structure. Section 3 deals with the error terms which need to be controlled, whereas Part III explains some notation of the book and presents a basic construction of the correction. The goal is to clarify how the scheme can be used to construct Hölder continuous weak solutions—continuous in space and time—to the incompressible Euler equations that fail to conserve energy. Part IV shows how to iterate the construction of Part III to obtain continuous solutions to the Euler equations. It then discusses the concept of frequency energy levels, along with the Main Lemma. It also highlights some additional difficulties which arise as one approaches the optimal regularity and illustrates how these difficulties can be overcome. Parts V–VII verify all the estimates needed for the proof of the Main Lemma.
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47

Flavin, J. N., and S. Rionero. Qualitative Estimates For Partial Differential Equations: An Introduction (Library of Engineering Mathematics). CRC, 1995.

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48

Derrick, William R. Introduction Do Differential Equations With Boundary Value Problems: Solutions Manual. 3rd ed. West Publishing Company, 1987.

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49

Jinsheng, Gu, and Gu Jinsheng. Domain Decomposition Methods For Non-Conforming Finite Discretizations. Nova Science Publishers, 1998.

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50

1941-, Hornung Ulrich, Kotelenez P. 1943-, Papanicolaou George, and Conference on "Random Partial Differential Equations" (1989 : Mathematic Research Institute at Oberwolfach), eds. Random partial differential equations: Proceedings of the conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, November 19-25, 1989. Basel: Birkhäuser Verlag, 1991.

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