Relevant bibliographies by topics / The finite difference method

Academic literature on the topic 'The finite difference method'

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Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "The finite difference method"

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Fornberg, Bengt. "Finite difference method." Scholarpedia 6, no. 10 (2011): 9685. http://dx.doi.org/10.4249/scholarpedia.9685.

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Lipnikov, Konstantin, Gianmarco Manzini, and Mikhail Shashkov. "Mimetic finite difference method." Journal of Computational Physics 257 (January 2014): 1163–227. http://dx.doi.org/10.1016/j.jcp.2013.07.031.

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Kazhikenova, S. Sh. "FINITE DIFFERENCE METHOD IMPLEMENTATION FOR NUMERICALINTEGRATION HYDRODYNAMIC EQUATIONS MELTS." Eurasian Physical Technical Journal 17, no. 1 (June 2020): 145–50. http://dx.doi.org/10.31489/2020no1/145-150.

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Killingbeck, John, and Georges Jolicard. "The virial finite difference method." Physics Letters A 228, no. 4-5 (April 1997): 205–7. http://dx.doi.org/10.1016/s0375-9601(97)00092-3.

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Lopez-Mago, Dorilian, and Julio C. Gutiérrez-Vega. "Adaptive boundaryless finite-difference method." Journal of the Optical Society of America A 30, no. 2 (January 31, 2013): 259. http://dx.doi.org/10.1364/josaa.30.000259.

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Venkata Sai Jitin, Jami Naga, and Atul Ramesh Bhagat. "Inverse conduction method using finite difference method." IOP Conference Series: Materials Science and Engineering 377 (June 2018): 012015. http://dx.doi.org/10.1088/1757-899x/377/1/012015.

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E. Griffith, Boyce, and Xiaoyu Luo. "Hybrid finite difference/finite element immersed boundary method." International Journal for Numerical Methods in Biomedical Engineering 33, no. 12 (August 16, 2017): e2888. http://dx.doi.org/10.1002/cnm.2888.

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Banerjee, Arjun. "The Method of Finite Difference Regression." Open Journal of Statistics 08, no. 01 (2018): 49–68. http://dx.doi.org/10.4236/ojs.2018.81005.

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Ying, Lung-an, and Xin-ting Zhang. "Finite difference method for detonation waves." Journal of Computational and Applied Mathematics 159, no. 1 (October 2003): 185–93. http://dx.doi.org/10.1016/s0377-0427(03)00558-2.

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Takasawa, Yoshimitsu. "Numerical dispersion of finite difference method." Journal of the Acoustical Society of America 120, no. 5 (November 2006): 3364. http://dx.doi.org/10.1121/1.4781514.

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Dissertations / Theses on the topic "The finite difference method"

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Siam, Mohamed. "The finite difference method in photonics." Thesis, McGill University, 2009. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=32263.

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This thesis explains and implements the Finite Difference Method to simulate for the propagating modes in integrated waveguides. The equidistant and non-equidsitant methods are explained and implemented. A shape recognition engine is implemented to recognize rectangular waveguide structures provided by the user in the form of images. A geometric meshing algorithm is developed to improve accuracy.
Cette thèse explique et met en oeuvre la méthode des diffrences finis pour simuler la propagation de modes de guides d'ondes intgré. La méthode équidistante et non-équidistante est expliquée et mise en oeuvre. Un moteur de reconnaissance de formes est mise en oeuvre pour reconnaître la structure des guides d'ondes rectangulaire prévues par l'utilisateur sous forme d'images. Un algorithme géomtrique de maillage est développé pour améliorer l'exactitude.
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Eng, Ju-Ling. "Higher order finite-difference time-domain method." Connect to resource, 2006. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1165607826.

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Lee, Check Fu. "Finite difference method for electromagnetic scattering problems." Thesis, Massachusetts Institute of Technology, 1990. http://hdl.handle.net/1721.1/14041.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1990.
Includes bibliographical references (leaves 184-192).
by Check F. Lee.
Ph.D.
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Ciydem, Mehmet. "Ray Based Finite Difference Method For Time Domain Electromagnetics." Phd thesis, METU, 2005. http://etd.lib.metu.edu.tr/upload/12606633/index.pdf.

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In this study, novel Ray Based finite difference method for Time Domain electromagnetics(RBTD) has been developed. Instead of solving Maxwell&rsquo
s hyperbolic partial differential equations directly, Geometrical Optics tools (wavefronts, rays) and Taylor series have been utilized. Discontinuities of electromagnetic fields lie on wavefronts and propagate along rays. They are transported in the computational domain by transport equations which are ordinary differential equations. Then time dependent field solutions at a point are constructed by using Taylor series expansion in time whose coefficients are these transported distincontinuties. RBTD utilizes grid structure conforming to wave fronts and rays and treats all electromagnetic problems, regardless of their dimensions, as one dimensional problem along the rays. Hence CFL stability condition is implemented always at one dimensional eqaulity case on the ray. Accuracy of RBTD depends on the accuracy of grid generation and numerical solution of transport equations. Simulations for isotropic medium (homogeneous/inhomogeneous) have been conducted. Basic electromagnetic phenomena such as propagation, reflection and refraction have been implemented. Simulation results prove that RBTD eliminates numerical dispersion inherent to FDTD and is promising to be a novel method for computational electromagnetics.
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Kitts, Paula. "Dielectric smoothing in the finite-difference Poisson-Boltzmann method." Thesis, University of Sheffield, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.284963.

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Petit, Frédéric. "Reverberation Chamber Modeling Using Finite-Difference Time-Domain Method." Diss., University of Marne la Vallée, 2002. http://hdl.handle.net/10919/71555.

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Since the last few years, the unprecedented growth of communication systems involving the propagation of electromagnetic waves is particularly due to developments in mobile phone technology. The reverberation chamber is a reliable bench-test, enabling the study of the effects of electromagnetic waves on a specific electronic appliance. However, the operating of a reverberation chamber being rather complicated, development of numerical models are of utmost importance to determine the crucial parameters to be considered.This thesis consists in the modelling and the simulation of the operating principles of a reverberation chamber by means of the Finite-Difference Time-Domain method. After a brief study based on field and power measurements performed in a reverberation chamber, the second chapter deals with the different problems encountered during the modelling. The consideration of losses being a very important factor in the operating of the chamber, two methods of implementation of these losses are set out in this chapter. Chapter~3 consists in the analysis of the influence of the stirrer on the first eigenmodes of the chamber; the latter modes can undergo a frequency shift of several MHz. Chapter~4 shows a comparison of results issued from high frequency simulations and theoretical statistical results. The problem of an object placed in the chamber, resulting in a field disturbance is also tackled. Finally, in the fifth chapter, a comparison of statistical results for stirrers having different shapes is set out.
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Parvin, S. "Diffusion-convection problems in parabolic equations." Thesis, University of Manchester, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.382761.

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Postell, Floyd Vince. "High order finite difference methods." Diss., Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/28876.

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Druma, Calin. "Formulation of steady-state and transient potential problems using boundary elements." Ohio : Ohio University, 1999. http://www.ohiolink.edu/etd/view.cgi?ohiou1175886094.

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Turer, Ibrahim. "Specific Absorption Rate Calculations Using Finite Difference Time Domain Method." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12605200/index.pdf.

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This thesis investigates the problem of interaction of electromagnetic radiation with human tissues. A Finite Difference Time Domain (FDTD) code has been developed to model a cellular phone radiating in the presence of a human head. In order to implement the code, FDTD difference equations have been solved in a computational domain truncated by a Perfectly Matched Layer (PML). Specific Absorption Rate (SAR) calculations have been carried out to study safety issues in mobile communication.
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Books on the topic "The finite difference method"

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

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

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

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

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

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

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

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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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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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Book chapters on the topic "The finite difference method"

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Bartels, Sören. "Finite Difference Method." In Texts in Applied Mathematics, 3–64. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32354-1_1.

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Osswald, Tim A., and Juan P. Hernández-Ortiz. "Finite Difference Method." In Polymer Processing, 385–451. München: Carl Hanser Verlag GmbH & Co. KG, 2006. http://dx.doi.org/10.3139/9783446412866.008.

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Atkinson, Kendall, and Weimin Han. "Finite Difference Method." In Texts in Applied Mathematics, 253–75. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-0458-4_6.

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Kolditz, Olaf. "Finite Difference Method." In Computational Methods in Environmental Fluid Mechanics, 97–127. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04761-3_6.

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Atkinson, Kendall, and Weimin Han. "Finite Difference Method." In Texts in Applied Mathematics, 171–92. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-0-387-21526-6_5.

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Zhou, Pei-bai. "Finite Difference Method." In Numerical Analysis of Electromagnetic Fields, 63–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-50319-1_3.

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Mendes, Nathan, Marx Chhay, Julien Berger, and Denys Dutykh. "Finite-Difference Method." In Numerical Methods for Diffusion Phenomena in Building Physics, 45–87. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31574-0_3.

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Liu, Zhen. "Finite Difference Method." In Multiphysics in Porous Materials, 369–84. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-93028-2_28.

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Reece, Gordon. "The Finite-difference Method." In Microcomputer Modelling by Finite Differences, 7–24. London: Macmillan Education UK, 1986. http://dx.doi.org/10.1007/978-1-349-09051-8_2.

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Bear, Jacob, and Arnold Verruijt. "The Finite Difference Method." In Modeling Groundwater Flow and Pollution, 225–46. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3379-8_9.

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Conference papers on the topic "The finite difference method"

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Masumnia-Bisheh, Khadijeh, Keyvan Forooraghi, and Mohsen Ghaffari-Miab. "Stochastic Finite Difference Frequency Domain Method." In 2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. IEEE, 2018. http://dx.doi.org/10.1109/apusncursinrsm.2018.8609297.

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Kondo, Kota, Kentaro Takagi, Zicai Zhu, and Kinji Asaka. "Finite difference method and finite element method for modeling IPMC sensor voltage." In Electroactive Polymer Actuators and Devices (EAPAD) XXI, edited by Yoseph Bar-Cohen and Iain A. Anderson. SPIE, 2019. http://dx.doi.org/10.1117/12.2514243.

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M. Hanafy, Sherif. "Seismic Refraction Interpretation Using Finite Difference Method." In 18th EEGS Symposium on the Application of Geophysics to Engineering and Environmental Problems. European Association of Geoscientists & Engineers, 2005. http://dx.doi.org/10.3997/2214-4609-pdb.183.1012-1024.

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Farjam, Nazanin, Reza Mehrabi, Mohammad Elahinia, Haluk Karaca, and Reza Mirzaeifar. "Modeling of NiTiHf using finite difference method." In Behavior and Mechanics of Multifunctional Materials and Composites XII, edited by Hani E. Naguib. SPIE, 2018. http://dx.doi.org/10.1117/12.2300857.

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Hanafy, Sherif M. "Seismic Refraction Interpretation Using Finite Difference Method." In Symposium on the Application of Geophysics to Engineering and Environmental Problems 2005. Environment and Engineering Geophysical Society, 2005. http://dx.doi.org/10.4133/1.2923415.

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Masumnia-Bisheh, Khadijeh, and Cynthia Furse. "Geometrically Stochastic Finite Difference Time Domain Method." In 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting. IEEE, 2019. http://dx.doi.org/10.1109/apusncursinrsm.2019.8888624.

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Arola, T., M. Hannula, N. Narra, J. Malmivuo, and J. Hyttinen. "Software Suite for Finite Difference Method Models." In Conference Proceedings. Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE, 2006. http://dx.doi.org/10.1109/iembs.2006.4397736.

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Arola, T., M. Hannula, N. Narra, J. Malmivuo, and J. Hyttinen. "Software Suite for Finite Difference Method Models." In Conference Proceedings. Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE, 2006. http://dx.doi.org/10.1109/iembs.2006.259333.

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White, Charles. "Nine-Point Nearest Neighbors Finite Difference Method." In 2021 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2021. http://dx.doi.org/10.1109/iceaa52647.2021.9539539.

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Ashyralyev, Allaberen, Deniz Ağirseven, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Finite Difference Method for Delay Parabolic Equations." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636795.

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Reports on the topic "The finite difference method"

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Manzini, Gianmarco. The Mimetic Finite Difference Method. Office of Scientific and Technical Information (OSTI), May 2013. http://dx.doi.org/10.2172/1078363.

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Mughabghab, S., A. Azarm, and D. Stock. Macroscopic traffic modeling with the finite difference method. Office of Scientific and Technical Information (OSTI), March 1996. http://dx.doi.org/10.2172/226027.

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Chen, Guo, Zhilin Li, and Ping Lin. A Fast Finite Difference Method for Biharmonic Equations on Irregular Domains. Fort Belvoir, VA: Defense Technical Information Center, January 2004. http://dx.doi.org/10.21236/ada444064.

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Mei, Kenneth K. Conformal Time Domain Finite Difference Method of Solving Electromagnetic Wave Scattering. Fort Belvoir, VA: Defense Technical Information Center, October 1988. http://dx.doi.org/10.21236/ada200921.

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Meagher, Timothy. A New Finite Difference Time Domain Method to Solve Maxwell's Equations. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.6273.

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Naranjo, Sebastian, and Vitaliy Gyrya. A Low Order Mimetic Finite Difference Method for Resistive Magnetohydrodynamics in 2D. Office of Scientific and Technical Information (OSTI), September 2018. http://dx.doi.org/10.2172/1473774.

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Manzini, Gianmarco, Daniil Svyatskiy, Enrico Bertolazzi, and Marco Frego. A non-linear constrained optimization technique for the mimetic finite difference method. Office of Scientific and Technical Information (OSTI), September 2014. http://dx.doi.org/10.2172/1159216.

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Shellman, C. H. Use of the Implicit-Finite-Difference Method to Implement the Parabolic Equation Model. Fort Belvoir, VA: Defense Technical Information Center, February 1991. http://dx.doi.org/10.21236/ada237437.

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Scannapieco, E., and F. H. Harlow. Introduction to finite-difference methods for numerical fluid dynamics. Office of Scientific and Technical Information (OSTI), September 1995. http://dx.doi.org/10.2172/212567.

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Manzini, Gianmarco, and Alessandro Russo. Monotonicity conditions in the nodal mimetic finite difference method for diffusion problems on quadrilateral meshes. Office of Scientific and Technical Information (OSTI), May 2013. http://dx.doi.org/10.2172/1079553.

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