Relevant bibliographies by topics / Differential transformations

Contents

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

Academic literature on the topic 'Differential transformations'

Author: Grafiati
Published: 30 May 2022
Last updated: 31 July 2025

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Journal articles on the topic "Differential transformations"

1

Kainz, Gerd, and Peter W. Michor. "Natural transformations in differential geometry." Czechoslovak Mathematical Journal 37, no. 4 (1987): 584–607. http://dx.doi.org/10.21136/cmj.1987.102187.

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Florian, H., J. Püngel, and W. Tutschke. "Matrix differential transformations." Applicable Analysis 65, no. 1-2 (1997): 103–17. http://dx.doi.org/10.1080/00036819708840552.

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Zagirnyak, Valentina, Boris Nevzlin, and Veronika Zahorulko. "DETERMINATION OF THE CONDITIONS FOR THE EXISTENCE OF HIGHER-ORDER DIFFERENTIAL ELECTROMAGNETIC INVARIANTS." Journal of Energy Technology 8, no. 2 (2024): 11–16. https://doi.org/10.18690/jet.8.2.11-16.2015.

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A four-element dipole representation by first-order electromagnetic invariants according to differential transformation and increments is well known. The paper deals with a most general description of the conditions of existence of an electromagnetic invariant for a four-element dipole with active-reactive components in a differential form and as increments of any order. It is shown analytically that invariants exist at mutual transformations of increments into differentials and differentials into increments.
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Tachoire, H., and V. Torra. "New trends in differential scanning calorimetry." Canadian Journal of Chemistry 67, no. 6 (1989): 983–90. http://dx.doi.org/10.1139/v89-150.

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Recent applications of differential scanning calorimetry in the study of solid–solid transformations are presented. The importance of the deconvolution of the thermograms and of the modelling of the calorimetric equipment is stressed.Investigations of the phase transformations of the martensitic type in shape-memory alloys have made clear the influence of thermomechanical treatment of the material and have evaluated the influence of defects on the dynamics of transformation. A combination of calorimetric and acoustical observations has demonstrated irreversibilities, even in the so-called ther
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Ustinov, N. V. "Transformations of ordinary differential equations via Darboux transformation technique." Reports on Mathematical Physics 46, no. 1-2 (2000): 279–86. http://dx.doi.org/10.1016/s0034-4877(01)80033-1.

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Ata, Enes, and I. Onur Kıymaz. "New generalized Mellin transform and applications to partial and fractional differential equations." International Journal of Mathematics and Computer in Engineering 1, no. 1 (2023): 45–66. http://dx.doi.org/10.2478/ijmce-2023-0004.

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Abstract In this paper, we introduce a generalized Mellin transformation in a general form that encompasses the generalized Mellin transformations found in the literature. Then, we give the fundamental properties of this new integral transformation and apply it to some elementary functions. Furthermore, we obtain the solutions of partial and fractional differential equations by means of this new integral transformation. Finally, we examine the relations between generalized Mellin transformations in the literature and the new generalized Mellin transformation and present a table showing the new
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Putz, V., and R. Wulkenhaar. "Seiberg–Witten Map for Noncommutative Super Yang–Mills Theory." International Journal of Modern Physics A 18, no. 19 (2003): 3325–34. http://dx.doi.org/10.1142/s0217751x03015246.

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In this paper we derive the Seiberg–Witten map for noncommutative super Yang–Mills theory in Wess–Zumino gauge. Following (and using results of) hep-th/0108045 we split the observer Lorentz transformations into a covariant particle Lorentz transformation and a remainder which gives directly the Seiberg–Witten differential equations. These differential equations lead to a θ-expansion of the noncommutative super Yang–Mills action which is invariant under commutative gauge transformations and commutative observer Lorentz transformation, but not invariant under commutative supersymmetry transforma
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Spivak L. V., Kirchanov V. S., and Shchepina N. E. "Polymorphic transformations in iodine titanium." Physics of the Solid State 64, no. 11 (2022): 1784. http://dx.doi.org/10.21883/pss.2022.11.54208.400.

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Based on the analysis of differential scanning calorimetry data, the possibility of classifying the observed endothermic or exothermic transformations as phase transformations of the first oder is considered. Two approaches have been implemented. The first is based on the correspondence between the temperatures of the maximum conversion rate and the temperatures of the extrema on the second derivative of the differential scanning calorimetry signal with respect to temperature. In the second approach, the phase transformation is considered as a kind of kinetic reaction of a chemical process wit
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Kadham, Shaymaa Maki, and Mohammed Ahmed Mustafa. "Medical applications of the new-transform." Journal of Interdisciplinary Mathematics 26, no. 6 (2023): 1341–53. http://dx.doi.org/10.47974/jim-1632.

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Solving differential equations by integral transformations is a highly general method. Using these powerful methods, mainly intractable problems may be conquered relatively easily. Because of the difficulty of solving ordinary differential equations, this study employs a novel integral transformation called the h-transform Related ideas, characteristics, and methods for evaluating significance are also elaborated upon. Due to the precision of the necessary transformations, the study of differential equations has inspired a new way of thinking called HA-fuzzy transformation, which is used to so
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Moazzam, Ali, Emad Kuffi, Zain Abideen, and Ayza Anjum. "Two parametric SEE transformation and its applications in solving differential equations." Al-Qadisiyah Journal for Engineering Sciences 16, no. 2 (2023): 116–20. http://dx.doi.org/10.30772/qjes.v16i2.891.

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Transformation plays a much more important role in every science. In this research article, two parametric forms of SEE transformation have been explored and the fundamental properties of two parametric SEE transformations have been shown. Furthermore, the transformed function of some fundamental functions and their time derivative rule has been shown. The application of two parametric SEE transformations in solving differential equations has been shown. The radioactive decay problem in first-order linear differential equations has been solved in this article which has large applications in nu
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Dissertations / Theses on the topic "Differential transformations"

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Guthrie, Graeme Alexander. "Miura transformations and symmetry groups of differential equations." Thesis, University of Canterbury. Mathematics, 1993. http://hdl.handle.net/10092/7960.

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The main aim of this work is to develop a generalization of the Miura transformation based on symmetry groups of differential equations. Some applications of the resulting transformations are presented. The central idea is a construction, called an HC-projection, which will generalize the well known Hopf-Cole transformation. With every differential equation there will be associated certain geometric objects which can be represented by new differential equations. These new differential equations inherit symmetries from the original differential equation. The reductions of these new differentia
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Voepel, Tammy. "Variable transformations for difference equations /." free to MU campus, to others for purchase, 1997. http://wwwlib.umi.com/cr/mo/fullcit?p9841344.

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Lindblom, Ove. "Painlevé analysis and transformations for nonlinear partial differential equations /." Luleå, 2001. http://epubl.luth.se/1402-1544/2001/16/index.html.

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Lindblom, Ove. "Painlevé analysis and transformations for nonlinear partial differential equations." Doctoral thesis, Luleå tekniska universitet, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-16794.

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Nonlinear partial differential equations play a fundamental role in the description of many physical models. In order to get a complete understanding of the phenomena which are modeled it is important to obtain exact analytic solutions. In this thesis several methods are investigated to construct analytic solutions and to classify nonlinear partial differential equations with respect to those methods. The main emphasis is on the Painlevé analysis and transformations of partial differential equations (PDEs). The Painlevé analysis for PDEs was introduced by a group of American Mathematicians in
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Ligo, Richard G. "Conformal transformations, curvature, and energy." Diss., University of Iowa, 2017. https://ir.uiowa.edu/etd/5550.

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Space curves have a variety of uses within mathematics, and much attention has been paid to calculating quantities related to such objects. The quantities of curvature and energy are of particular interest to us. While the notion of curvature is well-known, the Mobius energy is a much newer concept, having been first defined by Jun O'Hara in the early 1990s. Foundational work on this energy was completed by Freedman, He, and Wang in 1994, with their most important result being the proof of the energy's conformal invariance. While a variety of results have built those of Freedman, He, and Wang,
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May, Lee Clayton. "A solution-giving transformation for systems of differential equations." Thesis, University of North Texas, 1990. https://digital.library.unt.edu/ark:/67531/metadc332496/.

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李達明 and Tad-ming Lee. "Isospectral transformations between soliton-solutions of the Korteweg-de Vries equation." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1994. http://hub.hku.hk/bib/B29866261.

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Lee, Tad-ming. "Isospectral transformations between soliton-solutions of the Korteweg-de Vries equation /." [Hong Kong : University of Hong Kong], 1994. http://sunzi.lib.hku.hk/hkuto/record.jsp?B1359753X.

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Marfai, Frank S. "Hyperbolic transformations on cubics in H²." CSUSB ScholarWorks, 2003. https://scholarworks.lib.csusb.edu/etd-project/142.

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The purpose of this thesis is to study the effects of hyperbolic transformations on the cubic that is determined by locus of centroids of the equilateral triangles in H² whose base coincides with the line y=0, and whose common vertex is at the origin. The derivation of the formulas within this work are based on the Poincaré disk model of H², where H² is understood to mean the hyperbolic plane. The thesis explores the properties of both the untransformed cubic (the original locus of centroids) and the transformed cubic (the original cubic taken under a linear fractional transformation).
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von, Schwerin Erik. "Adaptivity for Stochastic and Partial Differential Equations with Applications to Phase Transformations." Doctoral thesis, KTH, Numerisk Analys och Datalogi, NADA, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4477.

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his work is concentrated on efforts to efficiently compute properties of systems, modelled by differential equations, involving multiple scales. Goal oriented adaptivity is the common approach to all the treated problems. Here the goal of a numerical computation is to approximate a functional of the solution to the differential equation and the numerical method is adapted to this task. The thesis consists of four papers. The first three papers concern the convergence of adaptive algorithms for numerical solution of differential equations; based on a posteriori expansions of global errors in th
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Books on the topic "Differential transformations"

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Gear, C. William. Differential-algebraic equation index transformations. Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1986.

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Begehr, Heinrich G. W. Transformations, transmutations, and kernel functions. Longman Scientific & Technical, 1992.

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Gardner, Robert B. The method of equivalence and its applications. Society for Industrial and Applied Mathematics, 1989.

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Visintin, A. Differential models of hysteresis. Springer, 1994.

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Duffy, Dean G. Transform methods for solving partial differential equations. CRC Press, 1994.

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Tenenblat, Keti. Transformations of manifolds and applications to differential equations. Longman, 1998.

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Jerri, Abdul J. Linear difference equations with discrete transform methods. Kluwer Academic, 1996.

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Jian-hua, Wang, ed. Transformation methods for nonlinear partial differential equations. World Scientific, 1992.

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9

Loon, P. M. van. Continuous decoupling transformations for linear boundary value problems. Centrum voor Wiskunde en Informatica, 1988.

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AARMS-CRM, Workshop (1999 Halifax N. S. ). Bäcklund and Darboux transformations: The geometry of solitons : AARMS-CRM Workshop, June 4-9, 1999, Halifax, N.S., Canada. American Mathematical Society, 2001.

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Book chapters on the topic "Differential transformations"

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Zwillinger, Daniel, and Vladimir Dobrushkin. "Transformations." In Handbook of Differential Equations, 4th ed. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9780429286834-i.b.

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Dey, Anindya. "Laplace Transformations in Ordinary Differential Equations." In Differential Equations. CRC Press, 2021. http://dx.doi.org/10.1201/9781003205982-7.

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Neuman, František. "Global transformations." In Global Properties of Linear Ordinary Differential Equations. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-2398-3_3.

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Martínez-Guerra, Rafael, Oscar Martínez-Fuentes, and Juan Javier Montesinos-García. "Linear Transformations." In Algebraic and Differential Methods for Nonlinear Control Theory. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12025-2_7.

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Wasow, Wolfgang. "Asymptotic Transformations of Differential Equations." In Linear Turning Point Theory. Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4612-1090-0_4.

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Bodine, Sigrun, and Donald A. Lutz. "Conditioning Transformations for Differential Systems." In Asymptotic Integration of Differential and Difference Equations. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18248-3_4.

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Constanda, Christian. "The Fourier Transformations." In Solution Techniques for Elementary Partial Differential Equations. Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9781315381442-8.

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Constanda, Christian. "The Fourier Transformations." In Solution Techniques for Elementary Partial Differential Equations, 4th ed. Chapman and Hall/CRC, 2022. http://dx.doi.org/10.1201/9781003173045-8.

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Kuchment, Peter. "Spaces, Operators and Transformations." In Floquet Theory for Partial Differential Equations. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8573-7_2.

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Kobayashi, Shoshichi. "Affine, Conformal and Projective Transformations." In Transformation Groups in Differential Geometry. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-61981-6_4.

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Conference papers on the topic "Differential transformations"

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Amakawa, Shuhei, Takeshi Yoshida, Michael Ernst Gadringer, and Wolfgang Bösch. "Modal TRL De-Embedding of Symmetric Differential Transmission Lines with Proper Reference Impedance Matrix Transformations." In 2025 104th ARFTG Microwave Measurement Conference (ARFTG). IEEE, 2025. https://doi.org/10.1109/arftg63706.2025.10989801.

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Tomczak, Jakub M., Ewelina Węglarz-Tomczak, and Agoston E. Eiben. "Differential Evolution with Reversible Linear Transformations." In GECCO '20: Genetic and Evolutionary Computation Conference. ACM, 2020. http://dx.doi.org/10.1145/3377929.3389972.

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Rakushev, Mykhailo, Yurii Kravchenko, Oleksandr Permiakov, Oleksandr Lavrinchuk, Vasyl Bychenkov, and Valerii Krainov. "Modeling of Solving Stabilized Differential Equations By Differential-Taylor Transformations." In 2020 IEEE 2nd International Conference on Advanced Trends in Information Theory (ATIT). IEEE, 2020. http://dx.doi.org/10.1109/atit50783.2020.9349265.

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Morrell, Benjamin, Marc Rigter, Gene Merewether, et al. "Differential Flatness Transformations for Aggressive Quadrotor Flight." In 2018 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2018. http://dx.doi.org/10.1109/icra.2018.8460838.

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Sharma, Ashu. "A Simple Approach for the Computation of Lyapunov-Floquet Transformations for the Mathieu Equation." In ASME 2021 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/detc2021-71028.

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Abstract Lyapunov-Floquet (L-F) transformations reduce linear ordinary differential equations with time-periodic coefficients (so-called linear time-periodic systems) to equations with constant coefficients. The present work proposes a simple approach to construct L-F transformations. The solution of a linear time-periodic system can be expressed as a product of an exponential term and a periodic term. Using this Floquet form of a solution, the ordinary differential equation corresponding to a linear time-periodic system reduces to an eigenvalue problem. Next, eigenanalysis is performed to obt
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TRACINÀ, R., and C. SOPHOCLEOUS. "EQUIVALENCE TRANSFORMATIONS AND DIFFERENTIAL INVARIANTS FOR GENERALIZED WAVE EQUATIONS." In Proceedings of the 14th Conference on WASCOM 2007. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812772350_0078.

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Tsubasa Kittaka and Noriyuki Hori. "On linearization of Riccati differential equations through variable transformations." In 2008 International Conference on Control, Automation and Systems (ICCAS). IEEE, 2008. http://dx.doi.org/10.1109/iccas.2008.4694275.

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CHEN, JIANHUA, and WEIHUAN CHEN. "THE MÖBIUS EQUIVALENT ISOTHERMIC SURFACES IN S3(1) AND BÄCKLUND TRANSFORMATIONS." In Proceedings of the International Conference on Modern Mathematics and the International Symposium on Differential Geometry. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776419_0001.

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Makhaev, Maierbeck Ruslanovich, Mamalova Khouzu Edilsultanovna, and Toita Khizirovna Abdulazimova. "The Differential Empirical Model For Describing The Semantics Of Metaphors." In International Conference on Social and Cultural Transformations in the Context of Modern Globalism. European Publisher, 2021. http://dx.doi.org/10.15405/epsbs.2021.11.130.

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Rakushev, Mykhailo, Oleksandr Permiakov, Oleksandr Lavrinchuk, Svitlana Tarasenko, Serhii Kovbasiuk, and Yurii Kravchenko. "Numerical Method of Integration on the Basis of Multidimensional Differential-Taylor Transformations." In 2019 IEEE International Scientific-Practical Conference Problems of Infocommunications, Science and Technology (PIC S&T). IEEE, 2019. http://dx.doi.org/10.1109/picst47496.2019.9061339.

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Reports on the topic "Differential transformations"

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McHardy, James David. Application of symmetries to differential equations: symmetry reduction and solution transformation examples. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1529516.

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Villacis, Alexis, Victor Barrera, Jeffrey Alwang, Carlos Caicedo, and James Quiroz. Strategies to strengthen Ecuador's high-value cacao value chain. Inter-American Development Bank, 2022. http://dx.doi.org/10.18235/0003960.

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Since the early nineteenth century, cacao has been an important export earner for Ecuador. Today the importance of this sector remains, as Ecuador is the main producer and exporter of Fine and Flavor cacao worldwide. Motivated by the main transformations of the global food systems and the increasing demand for multidimensional credence attributes, this study examines the present state of Ecuador's cacao industry, identifies areas of opportunity, and discusses how the private and public sectors can work together to meet existing and emerging challenges. Findings are supported by interviews cond
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Bustelo, Monserrat, Pablo Egana-delSol, Laura Ripani, Nicolas Soler, and Mariana Viollaz. Automation in Latin America: Are Women at Higher Risk of Losing Their Jobs? Inter-American Development Bank, 2020. http://dx.doi.org/10.18235/0002566.

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New technological trends, such as digitization, artificial intelligence and robotics, have the power to drastically increase economic output but may also displace workers. In this paper we assess the risk of automation for female and male workers in four Latin American countries Bolivia, Chile, Colombia and El Salvador. Our study is the first to apply a task-based approach with a gender perspective in this region. Our main findings indicate that men are more likely than women to perform tasks linked to the skills of the future, such as STEM (science, technology, engineering and mathematics), i
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Fuller, M. E., and J. F. Jr Manning. Differential sensitivity of aerobic gram-positive and gram-negative microorganisms to 2,4,6-trinitrotoluene (TNT) leads to dissimilar growth and TNT transformation: Results of soil and pure culture studies. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/434457.

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Chutimaworapan, Suchada. Fast release solid dispersion system of nifedipine. Chulalongkorn University, 1999. https://doi.org/10.58837/chula.res.1999.28.

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Nifedupine solid dispersions in polyethylene glycols (PEG4000 and PEG6000), poloxamers (poloxamer188 poloxamer288 and poloxamer407), [beta]-cyclodextrin (BCD) and 2-hydroxypropyl-[beta]-cyclodextrin (HPBCD), at the drug:carrier ratio if 1:1, 1:3, 1:5, and 1:10 were investigated. The systems were prepared by melting, solvent and kneading method and compared to physical mixtures. It was found that the drug:carrier ratio of 1:10 and by melting and solvent methods showed most conspicuous dissolution rates in most systems (p<0.05). The most markedly improved rate was exhibited from the poloxamer
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