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Author: Grafiati
Published: 9 March 2023
Last updated: 10 March 2023

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1

Lewis, L. G. Splitting theorems for certain equivariant spectra. Providence, R.I: American Mathematical Society, 2000.

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2

Morton, Alan Q. Splitting the atom. London: Evans, 2008.

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3

Agnes, Havasiy, ed. Operator splittings and their applications. Hauppauge, NY: Nova Science Publishers, 2009.

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4

Institute for Computer Applications in Science and Engineering., ed. Gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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5

Institute for Computer Applications in Science and Engineering., ed. Gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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6

Institute for Computer Applications in Science and Engineering., ed. Gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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7

Institute for Computer Applications in Science and Engineering., ed. Gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.

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8

Patrick, Le Tallec, ed. Augmented Lagrangian and operator-splitting methods in nonlinear mechanics. Philadelphia: Society for Industrial and Applied Mathematics, 1989.

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9

Lui, Shiu-Hong. Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1999.

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10

United States. National Aeronautics and Space Administration., ed. Effective control of computationally simulated wing rock in subsonic flow. [Washington, DC: National Aeronautics and Space Administration, 1997.

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11

Self-envy: Therapy and the divided internal world. Northvale, N.J: J. Aronson, 1995.

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12

Dochan, Kwak, and Ames Research Center, eds. An upwind-differencing scheme for the incompressible Navier-Stokes equations. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1988.

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13

Dochan, Kwak, and Ames Research Center, eds. An upwind-differencing scheme for the incompressible Navier-Stokes equations. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1988.

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14

Earl, Richard, and James Nicholson. The Concise Oxford Dictionary of Mathematics. 6th ed. Oxford University Press, 2021. http://dx.doi.org/10.1093/acref/9780198845355.001.0001.

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Over 4,000 entries This informative A to Z provides clear, jargon-free definitions of a wide variety of mathematical terms. Its articles cover both pure and applied mathematics and statistics, and include key theories, concepts, methods, programmes, people, and terminology. For this sixth edition, around 800 new terms have been defined, expanding on the dictionary’s coverage of algebra, differential geometry, algebraic geometry, representation theory, and statistics. Among this new material are articles such as cardinal arithmetic, first fundamental form, Lagrange’s theorem, Navier-Stokes equations, potential, and splitting field. The existing entries have also been revised and updated to account for developments in the field. Numerous supplementary features complement the text, including detailed appendices on basic algebra, areas and volumes, trigonometric formulae, and Roman numerals. Newly added to these sections is a historical timeline of significant mathematicians’ lives and the emergence of key theorems. There are also illustrations, graphs, and charts throughout the text, as well as useful web links to provide access to further reading.
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15

Splitting the Atom (Milestones in Modern Science). Evans Brothers Ltd, 2005.

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16

Algebraic K-theory of Crystallographic Groups: The Three-Dimensional Splitting Case. Springer, 2014.

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17

Farley, Daniel Scott, and Ivonne Johanna Ortiz. Algebraic K-Theory of Crystallographic Groups: The Three-Dimensional Splitting Case. Springer London, Limited, 2014.

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18

Pridham, J. P. Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties: Formality and Splitting. American Mathematical Society, 2016.

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19

On Freuds Splitting on the Ego in the Process of Defence Contemporary Freud Turning Points Critical Issues. Karnac Books, 2009.

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20

Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1999.

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21

Boudreau, Joseph F., and Eric S. Swanson. Continuum dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0019.

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The theory and application of a variety of methods to solve partial differential equations are introduced in this chapter. These methods rely on representing continuous quantities with discrete approximations. The resulting finite difference equations are solved using algorithms that stress different traits, such as stability or accuracy. The Crank-Nicolson method is described and extended to multidimensional partial differential equations via the technique of operator splitting. An application to the time-dependent Schrödinger equation, via scattering from a barrier, follows. Methods for solving boundary value problems are explored next. One of these is the ubiquitous fast Fourier transform which permits the accurate solution of problems with simple boundary conditions. Lastly, the finite element method that is central to modern engineering is developed. Methods for generating finite element meshes and estimating errors are also discussed.
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22

Solymar, L., D. Walsh, and R. R. A. Syms. Bonds. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198829942.003.0005.

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Mechanical properties of bonds are discussed, with the aid of a simple phenomenological model in which the variation of energy as a function of distance between the elements is described in terms of polynomials. The properties of various kinds of bonds (ionic bond, metallic bond, covalent bond, van der Waals bond) are explained with the aid of simple models. Carbon is discussed with two examples: bonds between 60 atoms that lead to the formation of a three-dimensional molecule known as Buckminsterfullerene, and the alternative sheet-shaped configuration known as graphene, that has recently become the centre of interest. A general theory for finding the energy levels is introduced, relying on Feynman’s coupled wave equations. There is a brief reference to nuclear forces, followed by a discussion of the hydrogen molecule. The relationship between coupling and the splitting of the energy levels is discussed with an analogy to coupled resonant circuits.
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23

An upwind-differencing scheme for the incompressible Navier-Stokes equations. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1988.

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