Relevant bibliographies by topics / Algebraic Structures in Physics

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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 'Algebraic Structures in Physics'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Algebraic Structures in Physics"

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Jones, Robert Murray. "Algebraic Structures of Quantum Physics." Open Journal of Philosophy 11, no. 03 (2021): 355–57. http://dx.doi.org/10.4236/ojpp.2021.113024.

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Duplij, Steven. "Arity Shape of Polyadic Algebraic Structures." Zurnal matematiceskoj fiziki, analiza, geometrii 15, no. 1 (2019): 3–56. http://dx.doi.org/10.15407/mag15.01.003.

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Freed, Daniel S. "Higher algebraic structures and quantization." Communications in Mathematical Physics 159, no. 2 (1994): 343–98. http://dx.doi.org/10.1007/bf02102643.

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Tanasa, Adrian. "Algebraic structures in quantum gravity." Classical and Quantum Gravity 27, no. 9 (2010): 095008. http://dx.doi.org/10.1088/0264-9381/27/9/095008.

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Doikou, A., and K. Sfetsos. "Contractions of quantum algebraic structures." Fortschritte der Physik 58, no. 7-9 (2010): 879–82. http://dx.doi.org/10.1002/prop.201000032.

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Duplij, Steven. "Polyadization of Algebraic Structures." Symmetry 14, no. 9 (2022): 1782. http://dx.doi.org/10.3390/sym14091782.

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A generalization of the semisimplicity concept for polyadic algebraic structures is proposed. If semisimple structures can be presented as block diagonal matrices (resulting in the Wedderburn decomposition), general forms of polyadic structures are given by block-shift matrices. We combine these forms to get a general shape of semisimple nonderived polyadic structures (“double” decomposition of two kinds). We then introduce the polyadization concept (a “polyadic constructor”), according to which one can construct a nonderived polyadic algebraic structure of any arity from a given binary struct
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Kreimer, D. "Algebraic Structures in local QFT." Nuclear Physics B - Proceedings Supplements 205-206 (August 2010): 122–28. http://dx.doi.org/10.1016/j.nuclphysbps.2010.08.030.

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KERNER, RICHARD. "TERNARY AND NON-ASSOCIATIVE STRUCTURES." International Journal of Geometric Methods in Modern Physics 05, no. 08 (2008): 1265–94. http://dx.doi.org/10.1142/s0219887808003326.

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We discuss ternary algebraic structures appearing in various domains of theoretical and mathematical physics. Some of them are associative, and some are not. Their interesting and curious properties can be exploited in future applications to enlarged and generalized field theoretical models in the years to come. Many ideas presented here have been developed and clarified in countless discussions with Michel Dubois-Violette.
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Chernega, Iryna, Mariia Martsinkiv, Taras Vasylyshyn, and Andriy Zagorodnyuk. "Applications of Supersymmetric Polynomials in Statistical Quantum Physics." Quantum Reports 5, no. 4 (2023): 683–97. http://dx.doi.org/10.3390/quantum5040043.

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We propose a correspondence between the partition functions of ideal gases consisting of both bosons and fermions and the algebraic bases of supersymmetric polynomials on the Banach space of absolutely summable two-sided sequences ℓ1(Z0). Such an approach allows us to interpret some of the combinatorial identities for supersymmetric polynomials from a physical point of view. We consider a relation of equivalence for ℓ1(Z0), induced by the supersymmetric polynomials, and the semi-ring algebraic structures on the quotient set with respect to this relation. The quotient set is a natural model for
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Cederwall, Martin. "Algebraic Structures in Extended Geometry." Physics of Particles and Nuclei 49, no. 5 (2018): 873–78. http://dx.doi.org/10.1134/s1063779618050155.

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Dissertations / Theses on the topic "Algebraic Structures in Physics"

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Grundling, Hendrik. "Algebraic structure of degenerate systems /." Title page, table of contents and summary only, 1986. http://web4.library.adelaide.edu.au/theses/09PH/09phg888.pdf.

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Tabti, Nassiba. "Kac-Moody algebraic structures in supergravity theories." Doctoral thesis, Universite Libre de Bruxelles, 2009. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210266.

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A lot of developments made during the last years show that Kac-Moody algebras play an important role in the algebraic structure of some supergravity theories. These algebras would generate infinite-dimensional symmetry groups. The possible existence of such symmetries have motivated the reformulation of these theories as non-linear sigma-models based on the Kac-Moody symmetry groups. Such models are constructed in terms of an infinite number of fields parametrizing the generators of the corresponding algebra. If these conjectured symmetries are indeed actual symmetries of certain supergravity
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Cooke, Teman H. "Algebraic structure of central force problems." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/28028.

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Tran, Tung Vuong [Verfasser], and Ivo [Akademischer Betreuer] Sachs. "Higher spin gravity : quantization and algebraic structures / Tung Vuong Tran ; Betreuer: Ivo Sachs." München : Universitätsbibliothek der Ludwig-Maximilians-Universität, 2020. http://d-nb.info/1218466030/34.

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Eghosa, Edeghagba Elijah. "Ω-Algebraic Structures". Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2017. https://www.cris.uns.ac.rs/record.jsf?recordId=104206&source=NDLTD&language=en.

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The research work carried out in this thesis is aimed   at fuzzifying algebraic and relational structures in the framework of Ω-sets, where Ω is a complete lattice.Therefore we attempt to synthesis universal algebra and fuzzy set theory. Our  investigations of Ω-algebraic structures are based on Ω-valued equality, satisability of identities and cut techniques. We introduce Ω-algebras, Ω-valued congruences,  corresponding quotient  Ω-valued-algebras and  Ω-valued homomorphisms and we investigate connections among these notions. We prove that there is an Ω-valued ho
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Wang, Jue. "Algebraic structures of signed graphs /." View abstract or full-text, 2007. http://library.ust.hk/cgi/db/thesis.pl?MATH%202007%20WANG.

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Alm, Johan. "Universal algebraic structures on polyvector fields." Doctoral thesis, Stockholms universitet, Matematiska institutionen, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-100775.

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The theory of operads is a conceptual framework that has become a kind of universal language, relating branches of topology and algebra. This thesis uses the operadic framework to study the derived algebraic properties of polyvector fields on manifolds.The thesis is divided into eight chapters. The first is an introduction to the thesis and the research field to which it belongs, while the second chapter surveys the basic mathematical results of the field.The third chapter is devoted to a novel construction of differential graded operads, generalizing an earlier construction due to Thomas Will
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Potts, Jonathan R. "Algebraic structures on singular (co)chains." Thesis, University of Warwick, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.439641.

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Zhang, Pumei. "Algebraic aspects of compatible poisson structures." Thesis, Loughborough University, 2012. https://dspace.lboro.ac.uk/2134/10110.

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This thesis consists of three chapters. In Chapter one, we introduce some notions and definitions for basic concepts of the theory of integrable bi-Hamiltonian systems. Brief statements of several open problems related to our main results are also mentioned in this part. In Chapter two, we applied the so-called Jordan-Kronecker decomposition theorem to study algebraic properties of the pencil P generated by two constant compatible Poisson structures on a vector space. In particular, we study the linear automorphism group GP that preserves P. In classical symplectic geometry, many fundamental r
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Curry, Charles. "Algebraic structures in stochastic differential equations." Thesis, Heriot-Watt University, 2014. http://hdl.handle.net/10399/2791.

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We define a new numerical integration scheme for stochastic differential equations driven by Levy processes with uniformly lower mean square remainder than that of the scheme of the same strong order of convergence obtained by truncating the stochastic Taylor series. In doing so we generalize recent results concerning stochastic differential equations driven by Wiener processes. The aforementioned works studied integration schemes obtained by applying an invertible mapping to the stochastic Taylor series, truncating the resulting series and applying the inverse of the original mapping. The shu
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Books on the topic "Algebraic Structures in Physics"

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M, Kersten P. H., and Krasilʹshchik I. S, eds. Geometric and algebraic structures in differential equations. Kluwer Academic Publishers, 1995.

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P, Van Isacker, ed. Algebraic methods in molecular and nuclear structure physics. Wiley, 1994.

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M, Steenbrink J. H., ed. Mixed hodge structures. Springer, 2008.

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Stancho, Dimiev, Sekigawa Kouei, and International Workshop on Complex Structures and Vector Fields (1994 : Pravet͡s︡, Bulgaria), eds. Complex structures and vector fields: Pravetz, Bulgaria, 14-17 August 1994. World Scientific, 1995.

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Seminar on Deformations (1988-1992 Łódź, Poland and Malinka, Poland). Deformations of mathematical structures II: Hurwitz-type structures and applications to surface physics : selected papers from the Seminar on Deformations, Łódź-Malinka,1988/92. Kluwer Academic Publishers, 1994.

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R, Casten, ed. Algebraic approaches to nuclear structure: Interacting boson and fermion models. Harwood Academic Publishers, 1993.

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Ławrynowicz, Julian. Deformations of Mathematical Structures: Complex Analysis with Physical Applications. Springer Netherlands, 1988.

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International Colloquium on Group Theoretical Methods in Physics (18th 1990 Moscow, USSR). Symmetries and algebraic structures in physics: Proceedings of the XVIII International Colloquium on Group Theoretical Methods in Physics, Moscow, USSR, June 4-9, 1990. Nova Science, 1991.

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International Workshop on Complex Structures, Integrability, and Vector Fields (10th 2010 Sofia, Bulgaria). International Workshop on Complex Structures, Integrability, and Vector Fields, Sofia, Bulgaria, 13-17 September 2010. Edited by Sekigawa Kouei. American Institute of Physics, 2011.

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Dvurečenskij, Anatolij. New trends in quantum structures. Kluwer Academic Publishers, 2000.

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Book chapters on the topic "Algebraic Structures in Physics"

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Thelen, S. "Algebraic spin structures." In Clifford Algebras and their Applications in Mathematical Physics. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8090-8_15.

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Doubek, Martin, Branislav Jurčo, Martin Markl, and Ivo Sachs. "Structures Relevant to Physics." In Algebraic Structure of String Field Theory. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53056-3_8.

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Choi, Kang-Sin, and Jihn E. Kim. "Algebraic Structure." In Lecture Notes in Physics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-54005-0_12.

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de Azcárraga, J. A., and J. Luklerski. "Superfield algebraic structures with Grassmann-valued structure constants." In Group Theoretical Methods in Physics. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0012265.

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Giaquinto, Anthony. "Topics in Algebraic Deformation Theory." In Higher Structures in Geometry and Physics. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4735-3_1.

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Cederwall, Martin. "Algebraic Structures in Exceptional Geometry." In Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2179-5_3.

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Rao, K. N. Srinivasa. "Some Related Algebraic Structures." In Texts and Readings in Physical Sciences. Hindustan Book Agency, 2006. http://dx.doi.org/10.1007/978-93-86279-32-3_2.

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Cheng, Yi. "2+1 Dimensional Integrable Hierarchies, Lax Operators and Relevant Algebraic Structures." In Nonlinear Physics. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84148-4_2.

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Tonti, Enzo. "Algebraic Topology." In The Mathematical Structure of Classical and Relativistic Physics. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7422-7_7.

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Schenberg, Mario. "Algebraic Structures of Finite Point Sets I." In Clifford Algebras and their Applications in Mathematical Physics. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8090-8_47.

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Conference papers on the topic "Algebraic Structures in Physics"

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Cariñena, J. F., A. Ibort, G. Marmo, et al. "Geometrical description of algebraic structures: Applications to Quantum Mechanics." In GEOMETRY AND PHYSICS: XVII International Fall Workshop on Geometry and Physics. AIP, 2009. http://dx.doi.org/10.1063/1.3146238.

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Troltenier, Dirk, Andrey Blokhin, Jerry P. Draayer, Dirk Rompf, and Jorge G. Hirsch. "Algebraic fermion models and nuclear structure physics." In The XXX Latin American school of physics ELAF: Group theory and its applications. AIP, 1996. http://dx.doi.org/10.1063/1.50225.

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Sankaran, Krishnaswamy, and Sairam B. "Modelling of nanoscale quantum tunnelling structures using algebraic topology method." In 2ND INTERNATIONAL CONFERENCE ON CONDENSED MATTER AND APPLIED PHYSICS (ICC 2017). Author(s), 2018. http://dx.doi.org/10.1063/1.5033280.

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Gerganov, Bogomil. "The N-cosine model—algebraic structures and integrable points on the marginal manifold." In High energy physics at the millennium: MRST (Montreal-Rochester-Syracuse-Ontario)’99 "The sundarfest". American Institute of Physics, 1999. http://dx.doi.org/10.1063/1.1301295.

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Frank, A., and R. Lemus. "Algebraic methods in molecular structure I: Triatomic molecules." In The XXX Latin American school of physics ELAF: Group theory and its applications. AIP, 1996. http://dx.doi.org/10.1063/1.50221.

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Marschner, Uwe, Eric Starke, and Günther Pfeifer. "Efficient Dynamic Modeling and Simulation of Smart Structures With (Equivalent) Circuits." In ASME 2013 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/smasis2013-3260.

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The modeling and simulation of smart structures and systems involves coupled field calculations which cause currently high computational costs. Especially time and frequency analyses of sensor or actuator constructions described by equation systems with 10,000 to several 100,000 degrees of freedom demand efficient design methods. A successful approach to solve this problem is to increase the abstraction in a model hierarchy by switching to macro models. In this paper the merits of multi-physics network models applied as macro models are discussed. The main advantage is the significant reductio
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Lemus, R. "Algebraic Methods in molecular structure II: D3h-triatomic and tetrahedral molecules." In The XXX Latin American school of physics ELAF: Group theory and its applications. AIP, 1996. http://dx.doi.org/10.1063/1.50222.

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Damianou, P. A., H. Sabourin, P. Vanhaecke, Rui Loja Fernandes, and Roger Picken. "Nilpotent Orbits in Simple Lie Algebras and their Transverse Poisson Structures." In GEOMETRY AND PHYSICS: XVI International Fall Workshop. AIP, 2008. http://dx.doi.org/10.1063/1.2958166.

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Hoshi, Takeo, Keita Yamazaki, and Yohei Akiyama. "Novel Linear Algebraic Theory and One-Hundred-Million-Atom Electronic Structure Calculation on The K Computer." In Proceedings of the 12th Asia Pacific Physics Conference (APPC12). Journal of the Physical Society of Japan, 2014. http://dx.doi.org/10.7566/jpscp.1.016004.

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Ramaswamy, Vasu, and Vadim Shapiro. "Combinatorial Laws for Physically Meaningful Design." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/dtm-48654.

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A typical computer representation of a design includes geometric and physical information organized in a suitable combinatorial data structure. Queries and transformations of these design representations are used to formulate most algorithms in computational design, including analysis, optimization, evolution, generation, and synthesis. Formal properties, and in particular existence and validity of the computed solutions, must be assured and preserved by all such algorithms. Using tools from algebraic topology, we show that a small set of the usual combinatorial operators: boundary (∂), coboun
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Reports on the topic "Algebraic Structures in Physics"

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Baryshnikov, Yuliy. Algebraic-Topological Structures for Hidden Modes. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada540133.

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Paquette, Natalie. Higher Algebraic Structures in Field Theory & Holography. Office of Scientific and Technical Information (OSTI), 2024. http://dx.doi.org/10.2172/2282341.

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Hu, Chenming, and Jeffrey Bokor. Advanced Silicon FET Physics and Device Structures. Defense Technical Information Center, 1998. http://dx.doi.org/10.21236/ada372474.

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Shashua, Amnon. On Geometric and Algebraic Aspects of 3D Affine and Projective Structures from Perspective 2D Views. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada270520.

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Hunter, Abigail, John S. Carpenter, and Enrique Martinez Saez. Predicting High Temperature Dislocation Physics in HCP Crystal Structures. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1253496.

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Fischer, Richard P., and Steven H. Gold. Multipactor Physics, Acceleration, and Breakdown in Dielectric-Loaded Accelerating Structures. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1288453.

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Hussein, Y. Time-Domain Electromagnetic-Physics-Based Modeling of Complex Microwave Structures. Office of Scientific and Technical Information (OSTI), 2004. http://dx.doi.org/10.2172/826850.

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Morsy, Amr, and Islam Ebo. Development of Physics-Based Deterioration Models for Reinforced Soil Retaining Structures. Mineta Transportation Institute, 2025. https://doi.org/10.31979/mti.2024.2360.

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Reinforced soil walls are key earth retention features in the transportation infrastructure. They are used to support and retain soil in a wide variety of crucial structures, such as highways, bridges, and railways, to ensure stability. They also provide solutions for constructing embankments and slopes in constrained spaces, allowing for efficient land use and improved infrastructure planning. This study used advanced numerical modeling to improve the understanding of the behavior and long-term performance of the aging reinforced soil walls from the 1970s for asset management purposes. An ass
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Garimella, Rao Veerabhadra, and Robert W. Robey. A Comparative Study of Multi-material Data Structures for Computational Physics Applications. Office of Scientific and Technical Information (OSTI), 2017. http://dx.doi.org/10.2172/1341844.

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Gan, Choon L., and David G. Bofard. The Physics of Turbulent Boundary Layer Structures and Effects Due to Manipulation. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada225834.

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