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Relevant bibliographies by topics / Finite differences

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Academic literature on the topic 'Finite differences'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Finite differences"

1

Adam, David. "Finite differences in finite characteristic." Journal of Algebra 296, no. 1 (2006): 285–300. http://dx.doi.org/10.1016/j.jalgebra.2005.05.036.

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Kumar, Anand. "Isotropic finite-differences." Journal of Computational Physics 201, no. 1 (2004): 109–18. http://dx.doi.org/10.1016/j.jcp.2004.05.005.

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Thomée, Vidar. "From finite differences to finite elements." Journal of Computational and Applied Mathematics 128, no. 1-2 (2001): 1–54. http://dx.doi.org/10.1016/s0377-0427(00)00507-0.

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Jones, Michael A. "A Difference Equation Approach to Finite Differences of Polynomials." College Mathematics Journal 51, no. 5 (2020): 375–77. http://dx.doi.org/10.1080/07468342.2020.1760065.

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Wehrse, R. "Radiative Transfer with Finite Differences and Finite Elements." EAS Publications Series 28 (2008): 129–34. http://dx.doi.org/10.1051/eas:0828018.

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Carpenter, Mark H., and John Otto. "High-Order "Cyclo-Difference" Techniques: An Alternative to Finite Differences." Journal of Computational Physics 118, no. 2 (1995): 242–60. http://dx.doi.org/10.1006/jcph.1995.1096.

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Stern, M. D., and Gordon Reece. "Microcomputer Modelling by Finite Differences." Mathematical Gazette 71, no. 458 (1987): 332. http://dx.doi.org/10.2307/3617088.

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Rhoads, Kathryn, and James A. Mendoza Alvarez. "Data Modeling Using Finite Differences." Mathematics Teacher 110, no. 9 (2017): 709–13. http://dx.doi.org/10.5951/mathteacher.110.9.0709.

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The Common Core State Standards for Mathematics (CCSSM) states that high school students should be able to recognize patterns of growth in linear, quadratic, and exponential functions and construct such functions from tables of data (CCSSI 2010). Accordingly, many high school curricula include a method that uses finite differences between data points to generate polynomial functions. That is, students may examine differences between successive output values (called first differences), successive differences of the first differences (second differences), or successive differences of the (n - 1)

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Chen, E. Jack. "Derivative Estimation with Finite Differences." SIMULATION 79, no. 10 (2003): 598–609. http://dx.doi.org/10.1177/0037549703039951.

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Wenchang, Chu. "Finite differences and determinant identities." Linear Algebra and its Applications 430, no. 1 (2009): 215–28. http://dx.doi.org/10.1016/j.laa.2007.08.044.

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Dissertations / Theses on the topic "Finite differences"

1

Floyd, Stewart Allen. "A qualitative analysis of finite difference equations in R[superscript n]." Thesis, Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/29441.

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蔡景華 and King-wah Choi. "Finite difference modelling of estuarine hydrodynamics." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1985. http://hub.hku.hk/bib/B30425153.

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Hayman, Kenneth John. "Finite-difference methods for the diffusion equation." Title page, table of contents and summary only, 1988. http://web4.library.adelaide.edu.au/theses/09PH/09phh422.pdf.

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Ampadu, Ebenezer. "Implementation of some finite difference methods for the pricing of derivatives using C++ programming." Link to electronic thesis, 2007. http://www.wpi.edu/Pubs/ETD/Available/etd-051807-164436/.

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Demirayak, Murat Neslitürk Ali İhsan. "Analysis Of Finite Difference Methods For Convection-Diffusion Problem/." [s.l.]: [s.n.], 2004. http://library.iyte.edu.tr/tezler/master/matematik/T000481.pdf.

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Ağıroğlu, İzzet Onur Tanoğlu Gamze. "An application of the finite differences method to a dynamical interface problem/." [s.l.]: [s.n.], 2004. http://library.iyte.edu.tr/tezler/master/matematik/T000445.pdf.

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Trojan, Alice von. "Finite difference methods for advection and diffusion." Title page, abstract and contents only, 2001. http://web4.library.adelaide.edu.au/theses/09PH/09phv948.pdf.

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Includes bibliographical references (leaves 158-163). Concerns the development of high-order finite-difference methods on a uniform rectangular grid for advection and diffuse problems with smooth variable coefficients. This technique has been successfully applied to variable-coefficient advection and diffusion problems. Demonstrates that the new schemes may readily be incorporated into multi-dimensional problems by using locally one-dimensional techniques, or that they may be used in process splitting algorithms to solve complicatef time-dependent partial differential equations.

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Choi, King-wah. "Finite difference modelling of estuarine hydrodynamics /." [Hong Kong] : University of Hong Kong, 1985. http://sunzi.lib.hku.hk/hkuto/record.jsp?B1232503X.

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Reimers, Mark Allan. "Hyper-finite methods for multi-dimensional stochastic processes." Thesis, University of British Columbia, 1986. http://hdl.handle.net/2429/27515.

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In this thesis we introduce Non-Standard Methods, in particular the use of hyperfinite difference equations, to the study of space-time random processes. We obtain a new existence theorem in the spirit of Keisler (1984) for the one dimensional heat equation forced non-linearly by white noise. We obtain several new results on the sample path properties of the Critical Branching Measure Diffusion, and show that in one dimension it has a density which satisfies a non-linearly forced heat equation. We also obtain results on the dimension of the support of the Fleming-Viot Process.<br>Science, Facu

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Kama, Phumezile. "Non-standard finite difference methods in dynamical systems." Thesis, Pretoria : [s.n.], 2009. http://upetd.up.ac.za/thesis/available/etd-07132009-163422.

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Books on the topic "Finite differences"

1

Milne-Thomson, L. M. The calculus of finite differences. AMS Chelsea Pub., 2000.

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Reece, Gordon. Microcomputer Modelling by Finite Differences. Macmillan Education UK, 1986. http://dx.doi.org/10.1007/978-1-349-09051-8.

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Harmuth, Henning F. Dirac's difference equation and the physics of finite differences. Academic Press, 2008.

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4

1774-1844, Otto John C., and Langley Research Center, eds. High-order "cyclo-difference" techniques: An alternative to finite differences. National Aeronautics and Space Administration, Langley Research Center, 1993.

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5

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

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6

Shlomo, Ta'san, and Langley Research Center, eds. Finite difference schemes for long-time integration. National Aeronautics and Space Administration, Langley Research Center, 1993.

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David, Gottlieb, Abarbanel Saul S. 1931-, and Langley Research Center, eds. Time-stable boundary conditions for finite-difference schemessolving hyperbolic systems: Methodology and application to high-order compact schemes. National Aeronautics and Space Administration, Langley Research Center, 1993.

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H, Beggs John, and United States. National Aeronautics and Space Administration., eds. Time domain scattering and radar cross section calculations for a thin, coated perfectly conducting plate. National Aeronautics and Space Administration, 1991.

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David, Gottlieb, Abarbanel Saul S. 1931-, and Langley Research Center, eds. Time-stable boundary conditions for finite-difference schemessolving hyperbolic systems: Methodology and application to high-order compact schemes. National Aeronautics and Space Administration, Langley Research Center, 1993.

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10

Nicolaides, Roy A. Direct discretization of planar div-curl problems. National Aeronautics and Space Administration, 1989.

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Book chapters on the topic "Finite differences"

1

Vesely, Franz J. "Finite Differences." In Computational Physics. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4757-2307-6_1.

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Vesely, Franz J. "Finite Differences." In Computational Physics. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4615-1329-2_1.

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Crépey, Stéphane. "Finite Differences." In Springer Finance. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-37113-4_8.

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Orlandi, Paolo. "Finite differences." In Fluid Mechanics and Its Applications. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4281-6_3.

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Maubourguet, Marie-Madeleine, and Jean-Michel Tanguy. "Finite Differences." In Numerical Methods. John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118557877.ch6.

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Olver, Peter J. "Finite Differences." In Introduction to Partial Differential Equations. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-02099-0_5.

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Puzrin, Alexander M. "Finite Differences." In Constitutive Modelling in Geomechanics. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27395-7_7.

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Franciss, Fernando Olavo. "Finite differences." In Hard Rock Hydraulics. CRC Press, 2021. http://dx.doi.org/10.1201/9780429355325-5.

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Rylander, Thomas, Pär Ingelström, and Anders Bondeson. "Finite Differences." In Computational Electromagnetics. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-5351-2_3.

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Euler. "On Finite Differences." In Foundations of Differential Calculus. Springer New York, 2000. http://dx.doi.org/10.1007/0-387-22645-1_1.

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Conference papers on the topic "Finite differences"

1

Martínez-Revuelta, Rubén, Horacio I. Solís-Cisneros, Ariel Fong-González, Jorge L. Camas-Anzueto, and Rubén Grajales-Coutiño. "Differences between InGaN solar cells graded." In Latin America Optics and Photonics Conference. Optica Publishing Group, 2024. https://doi.org/10.1364/laop.2024.m4d.4.

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Using a finite element numerical calculation software (SILVACO), were made simulations for InxGa1−xN solar cells with graduated absorbent layers with Indium mole fractions ranging from 10% to 50%, with an increase of 10% for each simulation.

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2

Simsek, Ergun. "Finite-Differences-Based Solvers for Wave Propagation in Dielectric Waveguides and Rings." In 2025 International Applied Computational Electromagnetics Society Symposium (ACES). IEEE, 2025. https://doi.org/10.23919/aces66556.2025.11052504.

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Song, X., and S. Fomel. "Lowrank Finite-differences and Lowrank Fourier Finite-differences for Seismic Wave Extrapolation." In 74th EAGE Conference and Exhibition incorporating EUROPEC 2012. EAGE Publications BV, 2012. http://dx.doi.org/10.3997/2214-4609.20148577.

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4

Bonasera, Aldo, and Jurgen Schulte. "Scaling of large fluctuations in finite systems." In Similarities and differences between atomic nuclei and clusters. AIP, 1997. http://dx.doi.org/10.1063/1.54566.

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5

Novais, A., J. Costa, and R. Portuga. "Velocity continuation by finite differences." In 9th International Congress of the Brazilian Geophysical Society & EXPOGEF, Salvador, Bahia, Brazil, 11-14 September 2005. Society of Exploration Geophysicists and Brazilian Geophysical Society, 2005. http://dx.doi.org/10.1190/sbgf2005-301.

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Novais, A., and J. Costa and R. Portugal. "Velocity continuation by finite differences." In 9th International Congress of the Brazilian Geophysical Society. European Association of Geoscientists & Engineers, 2005. http://dx.doi.org/10.3997/2214-4609-pdb.160.sbgf302.

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Levant, A. "Finite differences in homogeneous discontinuous control." In 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601). IEEE, 2004. http://dx.doi.org/10.1109/cdc.2004.1428963.

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Moorhead, B., and B. Biondi. "Parallel implicit finite-differences prestack migration." In 53rd EAEG Meeting. European Association of Geoscientists & Engineers, 1991. http://dx.doi.org/10.3997/2214-4609.201411042.

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Drakopoulos, Georgios, and Vasileios Megalooikonomou. "Regularizing large biosignals with finite differences." In 2016 7th International Conference on Information, Intelligence, Systems & Applications (IISA). IEEE, 2016. http://dx.doi.org/10.1109/iisa.2016.7785346.

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Wang, Tsili, and Sheng Fang. "Electromagnetic anisotropy modeling using finite differences." In SEG Technical Program Expanded Abstracts 2000. Society of Exploration Geophysicists, 2000. http://dx.doi.org/10.1190/1.1816063.

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Reports on the topic "Finite differences"

1

Stephen, Ralph A. Seafloor Scattering in Three Dimensions by Time Domain Finite Differences. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada443945.

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McGregor, Duncan A., Vitaliy Gyrya, and Gianmarco Manzini. M-Adapting Low Order Mimetic Finite Differences for Dielectric Interface Problems. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1240815.

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Iaroshenko, Oleksandr, Vitaliy Gyrya, and Gianmarco Manzini. Arbitrary Order Mixed Mimetic Finite Differences Method with Nodal Degrees of Freedom. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1321697.

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Brady, Peter T., and Daniel Livescu. High-Order, Stable, and Conservative Boundary Schemes for Central and Compact Finite Differences. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1489937.

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Trujillo, Sharon, Zachary Parks, and John Moulton. Mimetic Finite Differences and Algebraic Multilevel Methods for Reservoir Performance Predictions: CRADA Final Report. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1330827.

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ZOTOVA, V. A., E. G. SKACHKOVA, and T. D. FEOFANOVA. METHODOLOGICAL FEATURES OF APPLICATION OF SIMILARITY THEORY IN THE CALCULATION OF NON-STATIONARY ONE-DIMENSIONAL LINEAR THERMAL CONDUCTIVITY OF A ROD. Science and Innovation Center Publishing House, 2022. http://dx.doi.org/10.12731/2227-930x-2022-12-1-2-43-53.

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The article describes the methodological features of the analytical solution of the problem of non-stationary one-dimensional linear thermal conductivity of the rod. The authors propose to obtain a solution to such problems by the method of finite differences using the Fourier similarity criterion. This approach is especially attractive because the similarity theory in the vast majority of cases makes it possible to do without expensive experiments and obtain simple solutions for a wide range of problems.

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Tracy, Fred, and Farshid Vahedifard. Analytical solutions for coupled hydromechanical modeling of lateral earth pressures in unsaturated soils. Engineer Research and Development Center (U.S.), 2025. https://doi.org/10.21079/11681/49808.

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Lateral earth pressures in unsaturated soils undergo variations with changes in suction due to infiltration. The infiltration-induced alterations in the pressure head present a coupled hydromechanical problem, where interactions between solids and fluids influence the outcomes. However, existing analytical solutions for determining lateral earth pressures in unsaturated soils do not consider the effects of hydromechanical modeling. This paper presents analytical solutions for coupled hydromechanical modeling of lateral earth pressures in unsaturated soils. For this purpose, an analytical solut

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8

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

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Bohn, Robert B., and Edward J. Garboczi. User manual for finite element and finite difference programs:. National Institute of Standards and Technology, 2003. http://dx.doi.org/10.6028/nist.ir.6997.

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Graville. L51764 Hydrogen Cracking in the Heat-Affected Zone of High-Strength Steels-Year 2. Pipeline Research Council International, Inc. (PRCI), 1997. http://dx.doi.org/10.55274/r0010170.

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During year 1 of this project a test to evaluate the sensitivity of the heat affected zone (HAZ) to hydrogen cracking was developed. This was in response to a need for a test which provided unambiguous results in contrast to existing test methods which often led to difficulties in interpretation. For example, WIC tests usually cracked in the weld metal rather than the HAZ and therefore did not produce a clear indication of the sensistivity of the HAZ. The new test involves a machined notch which can be placed in the HAZ thus forcing crack initiation to occur in the desired region. A further ad

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