Academic literature on the topic 'Variational methods'

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Journal articles on the topic "Variational methods"

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Cipu, Elena Corina, and Cosmin Dănuţ Barbu. "Variational Estimation Methods for Sturm–Liouville Problems." Mathematics 10, no. 20 (2022): 3728. http://dx.doi.org/10.3390/math10203728.

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In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP) using variational problem (VP) formulation of regular SLP. The minimization problem (MP) is also set forth, and the connection between the solution of each formulation is then proved. Variational estimations (the variational equation associated through the Euler–Lagrange variational principle and Nehari’s method, shooting method and bisection method) and iterative variational methods (He’s method and HPM) for regular RSL are unitary presented in final part of the paper, which ends with applications.
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Pedregal, Pablo. "Variational methods for non-variational problems." SeMA Journal 74, no. 3 (2017): 299–317. http://dx.doi.org/10.1007/s40324-017-0119-z.

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Sohaly, M. A., M. T. Yassen, and I. M. Elbaz. "The Variational Methods for Solving Random Models." International Journal of Innovative Research in Computer Science & Technology 5, no. 2 (2017): 214–25. http://dx.doi.org/10.21276/ijircst.2017.5.2.1.

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Benhadid, Ayache. "Iterative methods for extended general variational inequalities." General Mathematics 29, no. 1 (2021): 95–102. http://dx.doi.org/10.2478/gm-2021-0008.

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Abstract In this paper, we suggest and analyze a new approximation schemes (3) to solve the extended general variational inequalities (2), which were introduced by Muhammad Aslam Noor (see[7, 9]). Using the projection operator technique, we establish the equivalence between the extended general variational inequalities and the fixed-point problem. This equivalent formulation is used to discuss the existence of a solution of the extended general variational inequalities. Several special cases are also discussed.
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Ceng, L. C., A. Latif, C. F. Wen, and A. E. Al-Mazrooei. "Hybrid Steepest-Descent Methods for Triple Hierarchical Variational Inequalities." Journal of Function Spaces 2015 (2015): 1–22. http://dx.doi.org/10.1155/2015/980352.

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We introduce and analyze a relaxed iterative algorithm by combining Korpelevich’s extragradient method, hybrid steepest-descent method, and Mann’s iteration method. We prove that, under appropriate assumptions, the proposed algorithm converges strongly to a common element of the fixed point set of infinitely many nonexpansive mappings, the solution set of finitely many generalized mixed equilibrium problems (GMEPs), the solution set of finitely many variational inclusions, and the solution set of general system of variational inequalities (GSVI), which is just a unique solution of a triple hie
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Noor, Muhammad Aslam, and Khalida Inayat Noor. "Iterative resolvent methods for general mixed variational inequalities." Journal of Applied Mathematics and Stochastic Analysis 16, no. 3 (2003): 283–94. http://dx.doi.org/10.1155/s1048953303000236.

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In this paper, we use the technique of updating the solution to suggest and analyze a class of new self-adaptive splitting methods for solving general mixed variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. Proof of convergence is very simple. Since general mixed variational include variational inequalities and complementarity problems as special cases, our results continue to hold for these problems.
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Gibson, Andrew A. P. "Circuit Analogy to Introduce Variational Methods." International Journal of Electrical Engineering & Education 31, no. 2 (1994): 144–47. http://dx.doi.org/10.1177/002072099403100206.

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Circuit analogy to introduce variational methods Variational procedures, energy expressions and the minimum energy principle are often difficult steps to introduce in advanced undergraduate and postgraduate courses in Electrical Engineering. A simple preamble, relying only on a basic circuit analogy, can be used to overcome these difficulties and is presented here.
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Noor, Muhammad Aslam, Muzaffar Akhter, and Khalida Inayat Noor. "Forward-backward resolvent splitting methods for general mixed variational inequalities." International Journal of Mathematics and Mathematical Sciences 2003, no. 43 (2003): 2759–70. http://dx.doi.org/10.1155/s0161171203210462.

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We use the technique of updating the solution to suggest and analyze a class of new splitting methods for solving general mixed variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. Our methods differ from the known three-step forward-backward splitting of Glowinski, Le Tallec, and M. A. Noor for solving various classes of variational inequalities and complementarity problems. Since general mixed variational inequalities include variational inequalities and complementarity problems as special case
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He, Ji-Huan. "Asymptotic Methods for Solitary Solutions and Compactons." Abstract and Applied Analysis 2012 (2012): 1–130. http://dx.doi.org/10.1155/2012/916793.

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This paper is an elementary introduction to some new asymptotic methods for the search for the solitary solutions of nonlinear differential equations, nonlinear differential-difference equations, and nonlinear fractional differential equations. Particular attention is paid throughout the paper to giving an intuitive grasp for the variational approach, the Hamiltonian approach, the variational iteration method, the homotopy perturbation method, the parameter-expansion method, the Yang-Laplace transform, the Yang-Fourier transform, and ancient Chinese mathematics. Hamilton principle and variatio
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Mielke, Alexander, Felix Otto, Giuseppe Savaré, and Ulisse Stefanelli. "Variational Methods for Evolution." Oberwolfach Reports 8, no. 4 (2011): 3145–216. http://dx.doi.org/10.4171/owr/2011/55.

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Dissertations / Theses on the topic "Variational methods"

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Liero, Matthias. "Variational methods for evolution." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2013. http://dx.doi.org/10.18452/16685.

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Das Thema dieser Dissertation ist die Anwendung von Variationsmethoden auf Evolutionsgleichungen parabolischen und hyperbolischen Typs. Im ersten Teil der Arbeit beschäftigen wir uns mit Reaktions-Diffusions-Systemen, die sich als Gradientensysteme schreiben lassen. Hierbei verstehen wir unter einem Gradientensystem ein Tripel bestehend aus einem Zustandsraum, einem Entropiefunktional und einer Dissipationsmetrik. Wir geben Bedingungen an, die die geodätische Konvexität des Entropiefunktionals sichern. Geodätische Konvexität ist eine wertvolle aber auch starke strukturelle Eigenschaft und sc
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Money, James H. "Variational methods for image deblurring and discretized Picard's method." Lexington, Ky. : [University of Kentucky Libraries], 2006. http://lib.uky.edu/ETD/ukymath2006d00415/DISSERT.PDF.

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Thesis (Ph. D.)--University of Kentucky, 2006.<br>Title from document title page (viewed on May 31, 2006). Document formatted into pages; contains x, 97 p. : ill. (some col.). Includes abstract and vita. Includes bibliographical references (p. 90-96).
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Iqbal, Zamin. "Variational methods in solid mechanics." Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.301901.

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Forclaz, A. "Variational methods in materials science." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249532.

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Three problems are being investigated in this thesis. The first two relate to the modelling and analysis of martensitic phase transitions, while the third is concerned with some mathematical tools used in this setting. After a short introduction (Chapter 1) and overviews of the calculus of variations and martensitic phase transformations (Chapter 2), the research part of this thesis is divided into three chapters. We show in Chapter 3 that for the two wells $\mathrm{SO}(3)U$ and $\mathrm{SO}(3)V$ to be rank-one connected, where the $3\times 3$ symmetric positive definite $U$ and $V$ have the s
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Spencer, Jack A. "Variational methods for image segmentation." Thesis, University of Liverpool, 2016. http://livrepository.liverpool.ac.uk/3003758/.

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The work in this thesis is concerned with variational methods for two-phase segmentation problems. We are interested in both the obtaining of numerical solutions to the partial differential equations arising from the minimisation of a given functional, and forming variational models that tackle some practical problem in segmentation (e.g. incorporating prior knowledge, dealing with intensity inhomogeneity). With that in mind we will discuss each aspect of the work as follows. A seminal two-phase variational segmentation problem in the literature is that of Active Contours Without Edges, introd
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Fetecau, Razvan Constantin Marsden Jerrold E. "Variational methods for nonsmooth mechanics /." Diss., Pasadena, Calif. : California Institute of Technology, 2003. http://resolver.caltech.edu/CaltechETD:etd-05222003-110241.

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Litke, Nathan Jacob Schröder Peter. "Variational methods in surface parameterization /." Diss., Pasadena, Calif. : California Institute of Technology, 2005. http://resolver.caltech.edu/CaltechETD:etd-05312005-224704.

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Thorpe, Matthew. "Variational methods for geometric statistical inference." Thesis, University of Warwick, 2015. http://wrap.warwick.ac.uk/74241/.

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Estimating multiple geometric shapes such as tracks or surfaces creates significant mathematical challenges particularly in the presence of unknown data association. In particular, problems of this type have two major challenges. The first is typically the object of interest is infinite dimensional whilst data is finite dimensional. As a result the inverse problem is ill-posed without regularization. The second is the data association makes the likelihood function highly oscillatory. The focus of this thesis is on techniques to validate approaches to estimating problems in geometric statistica
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Valente, Fabio. "Variational bayesian methods for audio indexing." Nice, 2005. http://www.theses.fr/2005NICE4037.

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Dans cette thèse, nous considérons un nouveau type de méthodes approximatives appelées Apprentissage Variationnel (connu aussi comme Apprentissage d'ensemble) qui offre une solution sous forme explicite mais approximative du problème de l'intégration des paramètres. La clé des méthodes variationnelles est le remplacement des distributions réelles mais inconnues des paramètres par des distributions approximées (distributions variationnelles) qui permettent de traiter la solution analytiquement. Evidemment l'efficacité de cette approche dépend de la qualité de ces distributions approximées. Nous
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Hermosillo, Valadez Gerardo. "Variational methods for multimodal image matching." Nice, 2002. http://www.theses.fr/2002NICE5729.

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Books on the topic "Variational methods"

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Struwe, Michael. Variational Methods. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-662-02624-3.

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Berestycki, Henri, Jean-Michel Coron, and Ivar Ekeland, eds. Variational Methods. Birkhäuser Boston, 1990. http://dx.doi.org/10.1007/978-1-4757-1080-9.

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Struwe, Michael. Variational Methods. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04194-9.

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Struwe, Michael. Variational Methods. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-662-03212-1.

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Prenter, P. M. Splines and variational methods. Dover Publications, 2008.

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Oklahoma), International Symposium on Variational Methods in Geosciences (1985 University of. Variational methods in geosciences. Elsevier, 1986.

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Tatsuhito, Koya, ed. Variational methods in mechanics. Oxford University Press, 1992.

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1964-, Scherzer Otmar, ed. Variational methods in imaging. Springer, 2009.

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1964-, Scherzer Otmar, ed. Variational methods in imaging. Springer, 2009.

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R, Smith Donald. Variational methods in optimization. Dover Publications, 1998.

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Book chapters on the topic "Variational methods"

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Struwe, Michael. "Minimax Methods." In Variational Methods. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-662-02624-3_2.

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Struwe, Michael. "Minimax Methods." In Variational Methods. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04194-9_2.

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Struwe, Michael. "Minimax Methods." In Variational Methods. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-662-03212-1_2.

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Borthwick, David. "Variational Methods." In Introduction to Partial Differential Equations. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-48936-0_11.

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Cercignani, Carlo, and David H. Sattinger. "Variational Methods." In Scaling Limits and Models in Physical Processes. Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-8810-3_8.

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Nodet, Maelle, and Arthur Vidard. "Variational Methods." In Handbook of Uncertainty Quantification. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-12385-1_32.

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Motreanu, D., and V. Rădulescu. "Variational Methods." In Nonconvex Optimization and Its Applications. Springer US, 2003. http://dx.doi.org/10.1007/978-1-4757-6921-0_3.

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Barber, J. R. "Variational Methods." In Solid Mechanics and Its Applications. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-3809-8_33.

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Nodet, Maelle, and Arthur Vidard. "Variational Methods." In Handbook of Uncertainty Quantification. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-11259-6_32-1.

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Drake, G. W. F. "Variational Methods." In Mathematical Tools for Physicists. Wiley-VCH Verlag GmbH & Co. KGaA, 2006. http://dx.doi.org/10.1002/3527607773.ch18.

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Conference papers on the topic "Variational methods"

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Carlos, José, Díaz Ramos, Oscar J. Garay, Eduardo García-Río, and Ramón Vázquez-Lorenzo. "Computational methods in Mathematics." In CURVATURE AND VARIATIONAL MODELING IN PHYSICS AND BIOPHYSICS. AIP, 2008. http://dx.doi.org/10.1063/1.2918093.

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Lu, Yan, and Ankit Srivastava. "Variational methods in phononics." In SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, edited by Tribikram Kundu. SPIE, 2015. http://dx.doi.org/10.1117/12.2083746.

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Bak, Cagdas, Mustafa Ergul, Gizem Aktas, and Fatih Nar. "DSM extraction using variational methods." In 2016 24th Signal Processing and Communication Application Conference (SIU). IEEE, 2016. http://dx.doi.org/10.1109/siu.2016.7495728.

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Fonseca, Irene M. "Variational methods in materials sciences." In 1994 North American Conference on Smart Structures and Materials, edited by H. Thomas Banks. SPIE, 1994. http://dx.doi.org/10.1117/12.174209.

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Romberg, Justin. "Variational methods for compressive sampling." In Electronic Imaging 2007, edited by Charles A. Bouman, Eric L. Miller, and Ilya Pollak. SPIE, 2007. http://dx.doi.org/10.1117/12.715427.

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Ambrosetti, A., and G. F. Dell'Antonio. "Variational and Local Methods in the Study of Hamiltonian Systems." In Workshop on Variational and Local Methods in The Study of Hamiltonian Systems. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789814531658.

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Zhang, Biao, Deyi Xiong, jinsong su, Hong Duan, and Min Zhang. "Variational Neural Machine Translation." In Proceedings of the 2016 Conference on Empirical Methods in Natural Language Processing. Association for Computational Linguistics, 2016. http://dx.doi.org/10.18653/v1/d16-1050.

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Sahlström, Teemu, and Tanja Tarvainen. "Deep learning in photoacoustic tomography utilizing variational autoencoders." In Optoacoustic Methods and Applications in Biophotonics, edited by Roger J. Zemp, Chulhong Kim, Jan Laufer, and Vasilis Ntziachristos. SPIE, 2023. http://dx.doi.org/10.1117/12.2670860.

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Pujades, Sergi, and Frederic Devernay. "Viewpoint interpolation: Direct and variational methods." In 2014 IEEE International Conference on Image Processing (ICIP). IEEE, 2014. http://dx.doi.org/10.1109/icip.2014.7026094.

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Temirbekov, Almas, and Bakhytzhan Zhumagulov. "Variational methods for constructing iterative algorithms." In NOVEL TRENDS IN RHEOLOGY IX. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0144819.

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Reports on the topic "Variational methods"

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Ben-Menahem, S. Variational Methods For Field Theories. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1453984.

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Ben-Menahem, Shahar. Variational Methods for Field Theories. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1454021.

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Ben-Menahem, S. Variational methods for field theories. Office of Scientific and Technical Information (OSTI), 1986. http://dx.doi.org/10.2172/5238021.

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Tannenbaum, Allen. Geometric Variational Methods for Controlled Active Vision. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada459371.

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Tannenbaum, Allen. Statistical and Variational Methods for Problems in Visual Control. Defense Technical Information Center, 2009. http://dx.doi.org/10.21236/ada531631.

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Zako, R. L. Hamiltonian lattice field theory: Computer calculations using variational methods. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/5736347.

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Zako, Robert L. Hamiltonian lattice field theory: Computer calculations using variational methods. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/10132471.

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Lewis, E. E. Variational nodal transport methods for hexagonal and three-dimensional geometries. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/7152709.

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Hou, Elizabeth Mary, and Earl Christopher Lawrence. Variational Methods for Posterior Estimation of Non-linear Inverse Problems. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1475317.

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Cecil, Thomas, and Daniel Marthaler. A Variational Approach to Search and Path Planning Using Level Set Methods. Defense Technical Information Center, 2004. http://dx.doi.org/10.21236/ada438277.

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