Relevant bibliographies by topics / Numerical mathematics

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Numerical mathematics'

Author: Grafiati
Published: 4 June 2021
Last updated: 26 January 2023

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Journal articles on the topic "Numerical mathematics"

1

Iserles, A., G. Hammerlin, and K. H. Hoffmann. "Numerical Mathematics." Mathematical Gazette 78, no. 481 (1994): 91. http://dx.doi.org/10.2307/3619466.

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G., W., Gunther Hammerlin, Karl-Heinz Hoffmann, and Larry Schumaker. "Numerical Mathematics." Mathematics of Computation 58, no. 198 (1992): 855. http://dx.doi.org/10.2307/2153223.

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I., E., Heinz Rutishauser, and Walter Gautschi. "Lectures on Numerical Mathematics." Mathematics of Computation 57, no. 196 (1991): 869. http://dx.doi.org/10.2307/2938724.

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Brezinski, Claude. "Lectures on Numerical mathematics." Numerical Algorithms 1, no. 1 (1991): 117. http://dx.doi.org/10.1007/bf02145584.

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Benner, Peter, Daniel Kressner, and Hoang Xuan Phu. "Numerical Mathematics and Control." Vietnam Journal of Mathematics 48, no. 4 (2020): 615–20. http://dx.doi.org/10.1007/s10013-020-00451-x.

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Temme, Nico M. "Numerical aspects of special functions." Acta Numerica 16 (April 24, 2007): 379–478. http://dx.doi.org/10.1017/s0962492906330012.

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This paper describes methods that are important for the numerical evaluation of certain functions that frequently occur in applied mathematics, physics and mathematical statistics. This includes what we consider to be the basic methods, such as recurrence relations, series expansions (both convergent and asymptotic), and numerical quadrature. Several other methods are available and some of these will be discussed in less detail. Examples will be given on the use of special functions in certain problems from mathematical physics and mathematical statistics (integrals and series with special fun
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Kathleen Heid, M. "How Symbolic Mathematical Systems Could and Should Affect Precollege Mathematics." Mathematics Teacher 82, no. 6 (1989): 410–19. http://dx.doi.org/10.5951/mt.82.6.0410.

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Computer programs are now available that perform most of the algebraic and numerical-manipulation procedures on which school mathematics now concentrates. The defining characteristic of these symbolic mathematical systems is that, unlike many of the popular computer languages, they can manipulate variables as well as numbers. They can perform rationalnumber arithmetic, solve equations, produce equivalent expressions of a variety of types, apply trigonometric identities, evaluate limits and sums, compute the algebraic form of derivatives and integrals, perform matrix manipulations, and produce
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Croft, A., and Elizabeth West. "Numerical Analysis, (MEI Structured Mathematics)." Mathematical Gazette 79, no. 484 (1995): 180. http://dx.doi.org/10.2307/3620058.

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Albers, Don. "John Todd—Numerical Mathematics Pioneer." College Mathematics Journal 38, no. 1 (2007): 2–23. http://dx.doi.org/10.1080/07468342.2007.11922213.

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Klepikov, P. N. "Mathematical Modeling in Problems of Homogeneous (Pseudo)Riemaimian Geometry." Izvestiya of Altai State University, no. 1(111) (March 6, 2020): 95–98. http://dx.doi.org/10.14258/izvasu(2020)1-15.

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Currently, mathematical and computer modeling, as well as systems of symbolic calculations, are actively used in many areas of mathematics. Popular computer math systems as Maple, Mathematica, MathCad, MatLab allow not only to perform calculations using symbolic expressions but also solve algebraic and differential equations (numerically and analytically) and visualize the results. Differential geometry, like other areas of modern mathematics, uses new computer technologies to solve its own problems. The applying is not limited only to numerical calculations; more and more often, computer math
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Dissertations / Theses on the topic "Numerical mathematics"

1

Ferres, Forga Nuria 1968. "Improving mathematical abilities by training numerical representations in children : the relation between learning mathematics and numerical cognition." Doctoral thesis, Universitat Pompeu Fabra, 2018. http://hdl.handle.net/10803/663849.

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Improving mathematical abilities is important for educational systems and for society overall. We present two training regimes based on numerical representations. In Study 1, we show that a three-week computer-based quantity discrimination training, focused on enhancing the accuracy of the Approximate Number System (ANS), improved mathematics performance in low-performing 7-to-8-year-old children. In Study 2, we show that a novel numerical estimation training enhancing mappings between Arabic digits and quantities, improved overall mathematical competence in all children, going beyond the
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Li, Song. "Numerical methods for stable inversion of nonlinear systems." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/15028.

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Mendoza-Smith, Rodrigo. "Numerical algorithms for the mathematics of information." Thesis, University of Oxford, 2017. http://ora.ox.ac.uk/objects/uuid:451a418b-eca0-454f-8b54-7b6476056969.

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This thesis presents a series of algorithmic innovations in Combinatorial Compressed Sensing and Persistent Homology. The unifying strategy across these contributions is in translating structural patterns in the underlying data into specific algorithmic designs in order to achieve: better guarantees in computational complexity, the ability to operate on more complex data, highly efficient parallelisations, or any combination of these.
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Reddinger, Kaitlin Sue. "Numerical Stability & Numerical Smoothness of Ordinary Differential Equations." Bowling Green State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1431597407.

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Baer, Lawrence H. "Numerical aspects of computational geometry." Thesis, McGill University, 1992. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=22507.

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This thesis is concerned with the numerical issues resulting from the implementation of geometric algorithms on finite precision digital computers. From an examination of the general problem and a survey of previous research, it appears that the central problem of numerical computational geometry is how to deal with degenerate and nearly degenerate input. For some applications, such as solid modeling, degeneracy is often intended but we cannot always ascertain its existence using finite precision. For other applications, degenerate input is unwanted but nearly degenerate input is unavoidable.
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Wilson, Joycelyn N. "Errors in Numerical Quadrature Schemes." DigitalCommons@Robert W. Woodruff Library, Atlanta University Center, 1998. http://digitalcommons.auctr.edu/dissertations/507.

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As a general rule, it is not possible to express the integral, ∫abf(x)dx, of a real valued function f of a single real variable x, in terms of relatively elementary functions. Even when this can be done, numerical calculations based on such expressions may be lengthy and tedious. For these reasons, mathematicians have devised several numerical quadrature schemes to provide approximate values for the integral (1). The error in any such scheme is defined as the difference between the integral and the numerical quadrature scheme. In this paper, we studied the errors in four specific numerical qua
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Nigam, Mats S. (Mats Sandje) 1970. "Numerical modeling of suspension flows." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/85307.

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Mongwane, Bishop. "Problems in cosmology and numerical relativity." Doctoral thesis, University of Cape Town, 2015. http://hdl.handle.net/11427/15689.

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Includes bibliographical references.<br>A generic feature of most inflationary scenarios is the generation of primordial perturbations. Ordinarily, such perturbations can interact with a weak magnetic field in a plasma, resulting in a wide range of phenomena, such as the parametric excitation of plasma waves by gravitational waves. This mechanism has been studied in different contexts in the literature, such as the possibility of indirect detection of gravitational waves through electromagnetic signatures of the interaction. In this work, we consider this concept in the particular case of magn
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Gooday, Richard David. "Numerical modelling of Langjökull Ice Cap, Iceland." Thesis, University of Southampton, 2003. https://eprints.soton.ac.uk/45943/.

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This thesis describes the development and application of a mass balance model for Langjökull Ice Cap to enable an investigation into its state of balance. This model is then coupled to a numerical model of ice flow, also developed as part of this thesis, to allow an assessment of the sensitivity of the ice cap to future climate change. Using data collected at a field site on one of the ice cap’s outlet glaciers in the summer of 2000, an energy balance model was optimised in order to obtain the best fit between the predicted and observed ablation. Although the optimisation enabled a reasonable
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Breward, C. J. W. "The mathematics of foam." Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.300849.

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The aim of this thesis is to derive and solve mathematical models for the flow of liquid in a foam. A primary concern is to investigate how so-called `Marangoni stresses' (i.e. surface tension gradients), generated for example by the presence of a surfactant, act to stabilise a foam. We aim to provide the key microscopic components for future foam modelling. We begin by describing in detail the influence of surface tension gradients on a general liquid flow, and various physical mechanisms which can give rise to such gradients. We apply the models thus devised to an experimental configuration
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Books on the topic "Numerical mathematics"

1

Hämmerlin, G. Numerical mathematics. Springer-Verlag, 1991.

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Numerical mathematics. Springer-Verlag, 1991.

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Hämmerlin, Günther, and Karl-Heinz Hoffman. Numerical Mathematics. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-4442-4.

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Quarteroni, Alfio, Riccardo Sacco, and Fausto Saleri. Numerical Mathematics. Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-22750-4.

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Quarteroni, Alfio, Riccardo Sacco, and Fausto Saleri. Numerical Mathematics. Springer New York, 2007. http://dx.doi.org/10.1007/b98885.

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Cheney, E. W. Numerical mathematics and computing. 3rd ed. Brooks/Cole Pub. Co., 1994.

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IMACS World Congress on Systems Simulation and Scientific Computation. (11th 1985 Oslo, Norway). Numerical mathematics and applications. North-Holland, 1986.

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Ronald), Kincaid David (David, ed. Numerical mathematics and computing. 7th ed. Brooks/Cole, Cengage Learning, 2013.

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David, Kincaid, ed. Numerical mathematics and computing. 5th ed. Thomson-Brooks/Cole, 2004.

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David, Kincaid, ed. Numerical mathematics and computing. 4th ed. Brooks/Cole Pub. Co., 1999.

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Book chapters on the topic "Numerical mathematics"

1

Evans, C. W. "Numerical techniques." In Engineering Mathematics. Springer US, 1992. http://dx.doi.org/10.1007/978-1-4684-1412-7_18.

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Evans, C. W. "Numerical techniques." In Engineering Mathematics. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4899-3280-8_18.

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Råde, Lennart, and Bertil Westergren. "Numerical Analysis." In Mathematics Handbook. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03556-6_16.

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Bird, John. "Numerical integration." In Engineering Mathematics. Routledge, 2017. http://dx.doi.org/10.4324/9781315561851-85.

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Hämmerlin, Günther, and Karl-Heinz Hoffman. "Computing." In Numerical Mathematics. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-4442-4_1.

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Hämmerlin, Günther, and Karl-Heinz Hoffman. "Linear Systems of Equations." In Numerical Mathematics. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-4442-4_2.

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Hämmerlin, Günther, and Karl-Heinz Hoffman. "Eigenvalues." In Numerical Mathematics. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-4442-4_3.

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Hämmerlin, Günther, and Karl-Heinz Hoffman. "Approximation." In Numerical Mathematics. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-4442-4_4.

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Hämmerlin, Günther, and Karl-Heinz Hoffman. "Interpolation." In Numerical Mathematics. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-4442-4_5.

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Hämmerlin, Günther, and Karl-Heinz Hoffman. "Splines." In Numerical Mathematics. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-4442-4_6.

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Conference papers on the topic "Numerical mathematics"

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Shi, Zhong-Ci, and Teruo Ushijima. "NUMERICAL MATHEMATICS." In First China-Japan Joint Seminar. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789812798169.

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JIANG, KAI, and PINGWEN ZHANG. "NUMERICAL MATHEMATICS OF QUASICRYSTALS." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0193.

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Herceg, Đorđe, and Dejana Herceg. "Arduino and Numerical Mathematics." In BCI'19: 9th Balkan Conference in Informatics. ACM, 2019. http://dx.doi.org/10.1145/3351556.3351590.

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Szabo, P., V. Moucha, and M. Ferencova. "Cloud Computing and Numerical Mathematics." In 2018 16th International Conference on Emerging eLearning Technologies and Applications (ICETA). IEEE, 2018. http://dx.doi.org/10.1109/iceta.2018.8572039.

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Neittaanmäki, Pekka, Timo Tiihonen, and Pasi Tarvainen. "Numerical Mathematics and Advanced Applications." In Proceedings of the 3rd European Conference. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792440.

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Kamalov, Firuz, and Ho-Hon Leung. "Numerical computing in engineering mathematics." In 2022 Advances in Science and Engineering Technology International Conferences (ASET). IEEE, 2022. http://dx.doi.org/10.1109/aset53988.2022.9734960.

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Sprössig, Wolfgang, Klaus Gürlebeck, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Clifford Algebras in Mathematics and Applied Sciences." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790249.

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Salman, Amer M., Ahmad Izani Md Ismail, Maisarah Haji Mohd, and Ahmed Muhammad. "Geometric of numerical and quadratic numerical range for block operator matrices." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2020 (MATHTECH 2020): Sustainable Development of Mathematics & Mathematics in Sustainability Revolution. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0075279.

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Lotfi, Abdelhakim, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Numerical Method for Computer Generated Hologram." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790149.

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Dragomir, Sever S., Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Inequalities with Applications in Numerical Analysis." In Numerical Analysis and Applied Mathematics. AIP, 2007. http://dx.doi.org/10.1063/1.2790240.

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Reports on the topic "Numerical mathematics"

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Zirilli, Francesco. Mathematics: Numerical Solution of Inverse Problems in Acoustics. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada267402.

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French, Donald A. Numerical Analysis and Computation of Nonlinear Partial Differential Equations from Applied Mathematics. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada275582.

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French, Donald A. Numerical Analysis and Computation of Nonlinear Partial Differential Equations from Applied Mathematics. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada231188.

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Levine, Howard A. Analysis and Numerical Analysis of Some Properly and Improperly Posed Problems in Applied Mathematics. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada208633.

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Trefethen, L. N. Linear non-modal phenomena in numerical analysis and applied mathematics. First annual performance report, February 15, 1994--November 15, 1994. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10114048.

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Blum, Edward K. Mathematical and Numerical Analysis Aspects of Quasi-Neural Networks. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada248583.

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Gunzburger, Max. Mathematical and Numerical Analyses of Peridynamics for Multiscale Materials Modeling. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1170396.

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Du, Qiang. Mathematical and Numerical Analyses of Peridynamics for Multiscale Materials Modeling. Office of Scientific and Technical Information (OSTI), 2014. http://dx.doi.org/10.2172/1163672.

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Bhargava, Hemant K. Dimensional Analysis in Mathematical Modeling Systems: A Simple Numerical Method. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada236904.

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Levy, Doron. Modern Perspectives in Applied Mathematics: Theory and Numerics of PDEs. Defense Technical Information Center, 2015. http://dx.doi.org/10.21236/ada625377.

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