Books on the topic 'The finite difference method'

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1

Li, Qian. Generalized difference method. Taejon, Korea: Korea Advanced Institute of Science and Technology, Mathematics Research Center, 1997.

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2

Jameson, Leland. On the wavelet optimized finite difference method. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1994.

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3

Computational electrodynamics: The finite-difference time-domain method. Boston: Artech House, 1995.

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4

Moczo, Peter. The finite-difference method for seismologists: An introduction. Bratislava: Comenius Univ., 2004.

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5

J, Luebbers Raymond, ed. The finite difference time domain method for electromagnetics. Boca Raton: CRC Press, 1993.

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6

C, Hagness Susan, ed. Computational electrodynamics: The finite-difference time-domain method. 3rd ed. Boston: Artech House, 2005.

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7

da Veiga, Lourenço Beirão, Konstantin Lipnikov, and Gianmarco Manzini. The Mimetic Finite Difference Method for Elliptic Problems. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02663-3.

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8

C, Hagness Susan, ed. Computational electrodynamics: The finite-difference time-domain method. 2nd ed. Boston: Artech House, 2000.

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9

Lee, Myung W. Finite-difference migration by optimized one-way equations. [Reston, Va.?]: U.S. Dept. of the Interior, Geological Survey, 1985.

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10

Lee, Myung W. Finite-difference migration by optimized one-way equations. [Reston, Va.?]: U.S. Dept. of the Interior, Geological Survey, 1985.

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11

Lee, Myung W. Finite-difference migration by optimized one-way equations. [Reston, Va.?]: U.S. Dept. of the Interior, Geological Survey, 1985.

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12

Lee, Myung W. Finite-difference migration by optimized one-way equations. [Reston, Va.?]: U.S. Dept. of the Interior, Geological Survey, 1985.

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13

Finite difference methods in heat transfer. Boca Raton: CRC Press, 1994.

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14

Duffy, Daniel J. Finite Difference Methods in Financial Engineering. New York: John Wiley & Sons, Ltd., 2006.

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15

Dimov, Ivan, István Faragó, and Lubin Vulkov, eds. Finite Difference Methods,Theory and Applications. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-20239-6.

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16

Dimov, Ivan, István Faragó, and Lubin Vulkov, eds. Finite Difference Methods. Theory and Applications. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-11539-5.

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17

Heinrich, Bernd. Finite Difference Methods on Irregular Networks. Basel: Birkhäuser Basel, 1987. http://dx.doi.org/10.1007/978-3-0348-7196-9.

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18

Duffy, Daniel J. Finite Difference Methods in Financial Engineering. Oxford, UK: John Wiley & Sons Ltd, 2006. http://dx.doi.org/10.1002/9781118673447.

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19

Applications of discrete functional analysis to the finite difference method. Beijing: International Academic Publishers, 1991.

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20

Zhou, Yulin. Applications of discrete functional analysis to the finite difference method. Oxford: International Academic Publishers, 1991.

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21

Nakahashi, Kazuhiro. FDM-FEM zonal method for viscous flow computations over multiple-bodies. Tokyo: National Aerospace Laboratory, 1987.

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22

Field theory concepts: Electromagnetic fields, Maxwell's equations, grad, curl, div, etc. : finite-element method, finite-difference method, charge simulation method, Monte Carlo method. Berlin: Springer-Verlag, 1988.

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23

Schwab, Adolf J. Field Theory Concepts: Electromagnetic Fields Maxwell's Equations grad, curl, div. etc. Finite-Element Method Finite-Difference Method Charge Simulation Method Monte Carlo Method. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988.

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24

Jovanović, Boško S. The finite difference method for boundary-value problems with weak solutions. Beograd: Matematički Institut, 1993.

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25

Elsherbeni, Atef. The Finite-Difference Time-Domain Method for Electromagnetics with MATLAB Simulations. US: Scitech Publishing, Inc, 2008.

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26

Elsherbeni, Atef Z. The finite-difference time-domain method for electromagnetics with MATLAB simulations. Raleigh, NC: SciTech Pub., 2008.

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27

Introduction to the finite-difference time-domain (FDTD) method for electromagnetics. San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA): Morgan & Claypool, 2011.

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28

T, McDaniel S., ed. Ocean acoustic propagation by finite difference methods. Oxford: Pergamon Press, 1988.

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29

Berger, Marsha J. Adaptive finite difference methods in fluid dynamics. New York: Courant Institute of Mathematical Sciences, New York University, 1987.

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30

Thomas, J. W. Numerical Partial Differential Equations: Finite Difference Methods. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4899-7278-1.

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31

Stanly, Steinberg, ed. Conservative finite-difference methods on general grids. Boca Raton: CRC Press, 1996.

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32

Tadmor, Eitan. The numerical viscosity of entropy stable schemes for systems of conservation laws. I. Hampton, Va: ICASE, 1985.

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33

Johnston, L. J. A calculation method for compressible three dimensional turbulent boundary layer flows. Rhode Saint Genese, Belgium: von Karman Institute for Fluid Dynamics, 1988.

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34

Baysal, Oktay. An overlapped grid method for multigrid, finite volume/difference flow solvers - MaGGiE. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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35

Hannemann, Klaus. Numerische Simulation und stabilitatstheoretische Untersuchung des absolut und konvektiv instabilen Nachlaufs. Koln: DFVLR, 1988.

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36

Finite difference methods in dynamics of continuous media. New York: Macmillan, 1986.

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37

Determann, Jürgen. Das Fliessen von Schelfeisen: Numerische Simulationen mit der Methode der finiten Differenzen = The flow of ice shelves : numerical simulations using the finite-difference method. Bremerhaven: Alfred-Wegener-Institut fÜr Polar- und Meeresforschung, 1991.

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38

Determann, Jürgen. Das Fliessen von Schelfeisen: Numerische Simulationen mit der Methode der finiten Differenzen = The flow of ice shelves : numerical simulations using the finite-difference method. Bremerhaven: Alfred-Wegener-Institut f/umur Polar- und Meeresforschung, 1991.

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39

Hawken, Donald Frederick. Adaptive node movement in finite-element and finite-difference solutions of partial differential equations with applications to gasdynamics. [Downsview, Ont.]: [Institute for Aerospace Studies], 1989.

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40

A, Samarskiĭ A., and Instytut matėmatyki (Natsyi͡a︡nalʹnai͡a︡ akadėmii͡a︡ navuk Belarusi), eds. Second International Conference "Finite-Difference Methods, Theory and Application" (CFDM98): Proceedings. Minsk, Belarus: National Academy of Sciences of Belarus, Institute of Mathematics, 1998.

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41

International Conference "Finite-Difference Methods: Theory and Application" (2nd 1998 Minsk, Belarus). Second International Conference "Finite-Difference Methods, Theory and Application" (CFDM98): Abstracts. Minsk, Belarus: The Institute, 1998.

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42

Numerical solution of partial differential equations: Finite difference methods. 3rd ed. Oxford [Oxfordshire]: Clarendon Press, 1985.

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43

Hawken, Donald Frederick. Adaptive node movement in finite-difference solutions of partial differential equations with applications to gasdynamics. Downsview, Ont: Institute for Aerospace Studies, 1990.

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44

Taigbenu, Akpofure E. The green element method. Boston: Kluwer Academic, 1999.

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45

Rajeev, S. G. Finite Difference Methods. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0014.

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This chapter offers a peek at the vast literature on numerical methods for partial differential equations. The focus is on finite difference methods (FDM): approximating differential operators by functions of difference operators. Padé approximants (Fornberg) give a unifying principle for deriving the various stencils used by numericists. Boundary value problems for the Poisson equation and initial value problems for the diffusion equation are solved using FDM. Numerical instability of explicit schemes are explained physically and implicit schemes introduced. A discrete version of theClebsch formulation of incompressible Euler equations is proposed. The chapter concludes with the radial basis function method and its application to a discrete version of the Lagrangian formulation of Navier–Stokes.
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46

Wenhua, Yu, ed. Parallel finite-difference time-domain method. Boston, MA: Artech House, 2006.

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47

United States. National Aeronautics and Space Administration., ed. Accurate finite difference algorithms. [Washington, D.C: National Aeronautics and Space Administration, 1996.

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48

Iseri, Shellie M. High order finite difference methods. 1996.

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49

Tavella, Domingo, and Curt Randall. Pricing Financial Instruments: The Finite Difference Method. Wiley & Sons, Incorporated, John, 2008.

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50

Pricing Financial Instruments: The Finite Difference Method. Wiley, 2000.

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