Relevant bibliographies by topics / Discontinuous Function

Academic literature on the topic 'Discontinuous Function'

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Published: 14 March 2023

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Journal articles on the topic "Discontinuous Function"

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Pershyna, I. I. "RESTORATION OF DISCONTINUOUS FUNCTIONS BY DISCONTINUOUS INTERLINATION SPLINES." Radio Electronics, Computer Science, Control, no. 4 (December 4, 2022): 29. http://dx.doi.org/10.15588/1607-3274-2022-4-3.

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Context. The problem of development and research of methods for approximation of discontinuous functions by discontinuous interlination splines and its further application to problems of computed tomography. The object of the study was the modeling of objects with a discontinuous internal structure. Objective. The aim of this study is to develop a general method for constructing discontinuous interlining polynomial splines, which, as a special case, include discontinuous and continuously differentiated splines. Method. Modern methods of restoring functions are characterized by new approaches to obtaining, processing and analyzing information. There is a need to build mathematical models in which information can be represented not only by function values at points, but also in the form of a set of function traces on planes or straight lines. At the same time, practice shows that among the multidimensional objects that need to be investigated, more problems are described by a discontinuous functions. The paper develops a general method for constructing discontinuous interlining polynomial splines, which, as a special case, include discontinuous and continuously differentiable splines. It is considered that the domain of the definition of the required twodimensional function is divided into rectangular elements. Theorems on interlination and approximation properties of such discontinuous constructions are formulated and proved. The method is developed for approximating discontinuous functions of two variables based on the constructed discontinuous splines. The input data are the traces of an unknown function along a given system of mutually perpendicular straight lines. The proposed method has not only theoretical significance but also practical application in the IT domain, especially in computing tomography, allowing more accurately restore the internal structure of the body. Results. The discontinuous interlination operator from known traces of the function of two variables on a system of mutually perpendicular straight lines is researched. Conclusions. The functions of two variables that are discontinuous at some points or on some lines are better approximated by discontinuous spline interlinants. At the same time, equally high approximation estimates can be obtained. The results obtained have significant advantages over existing methods of interpolation and approximation of discontinuous functions. In further research, the authors plan to develop a theory of discontinuous splines on areas of complex shape bounded by arcs of known curves.
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Jarosz, Krzysztof, and Zbigniew Sawoń. "A discontinuous function does not operate on the real part of a function algebra." Časopis pro pěstování matematiky 110, no. 1 (1985): 58–59. http://dx.doi.org/10.21136/cpm.1985.118221.

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Hartman, James L. "A Terminally Discontinuous Function." College Mathematics Journal 27, no. 3 (May 1996): 211. http://dx.doi.org/10.2307/2687172.

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Hartman, James L. "A Terminally Discontinuous Function." College Mathematics Journal 27, no. 3 (May 1996): 211–12. http://dx.doi.org/10.1080/07468342.1996.11973781.

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Steprāns, Juris. "A very discontinuous Borel function." Journal of Symbolic Logic 58, no. 4 (December 1993): 1268–83. http://dx.doi.org/10.2307/2275142.

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AbstractIt is shown to be consistent that the reals are covered by ℵ1, meagre sets yet there is a Baire class 1 function which cannot be covered by fewer than ℵ2, continuous functions. A new cardinal invariant is introduced which corresponds to the least number of continuous functions required to cover a given function. This is characterized combinatorially. A forcing notion similar to, but not equivalent to, superperfect forcing is introduced.
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HARINI, LUH PUTU IDA, and KARTIKA SARI. "APLIKASI INTEGRAL DALAM BIDANG EKONOMI DAN FINANSIAL." E-Jurnal Matematika 9, no. 2 (June 1, 2020): 143. http://dx.doi.org/10.24843/mtk.2020.v09.i02.p291.

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The characteristics of a function are usually investigated by looking at the continuity of the function. But what happens if a function does not have continuous properties? To what extent can the characteristics of continuous function be maintained for discontinuous cases? The stochastic function that is widely involved in solving problems in the field of average financial mathematics is a discontinuous function. This is reflected by the acquisition of a smooth curve from the modeling drawing obtained. Today, the nature of continuous functions in [a, b] has been widely studied and developed. Some properties of the continuous function can be extended to the appropriate discontinuous function. In this paper, there will be some integral reviews for discontinuous functions which are closely related to stochastic functions.
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Górka, Przemysław, and Artur Słabuszewski. "A discontinuous Sobolev function exists." Proceedings of the American Mathematical Society 147, no. 2 (October 31, 2018): 637–39. http://dx.doi.org/10.1090/proc/14164.

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Yang, Xinsong, and Jinde Cao. "Synchronization of Discontinuous Neural Networks with Delays via Adaptive Control." Discrete Dynamics in Nature and Society 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/147164.

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The drive-response synchronization of delayed neural networks with discontinuous activation functions is investigated via adaptive control. The synchronization of this paper means that the synchronization error approaches to zero for almost all time as time goes to infinity. The discontinuous activation functions are assumed to be monotone increasing which can be unbounded. Due to the mild condition on the discontinuous activations, adaptive control technique is utilized to control the response system. Under the framework of Filippov solution, by using Lyapunov function and chain rule of differential inclusion, rigorous proofs are given to show that adaptive control can realize complete synchronization of the considered model. The results of this paper are also applicable to continuous neural networks, since continuous function is a special case of discontinuous function. Numerical simulations verify the effectiveness of the theoretical results. Moreover, when there are parameter mismatches between drive and response neural networks with discontinuous activations, numerical example is also presented to demonstrate the complete synchronization by using discontinuous adaptive control.
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Lytvyn, Oleg, Oleg Lytvyn, and Oleksandra Lytvyn. "Analysis of the results of a computational experiment to restore the discontinuous functions of two variables using projections." Physico-mathematical modelling and informational technologies, no. 33 (September 2, 2021): 12–17. http://dx.doi.org/10.15407/fmmit2021.33.012.

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This article presents the main statements of the method of approximation of discontinuous functions of two variables, describing an image of the surface of a 2D body or an image of the internal structure of a 3D body in a certain plane, using projections that come from a computer tomograph. The method is based on the use of discontinuous splines of two variables and finite Fourier sums, in which the Fourier coefficients are found using projection data. The method is based on the following idea: an approximated discontinuous function is replaced by the sum of two functions – a discontinuous spline and a continuous or differentiable function. A method is proposed for constructing a spline function, which has on the indicated lines the same discontinuities of the first kind as the approximated discontinuous function, and a method for finding the Fourier coefficients of the indicated continuous or differentiable function. That is, the difference between the function being approximated and the specified discontinuous spline is a function that can be approximated by finite Fourier sums without the Gibbs phenomenon. In the numerical experiment, it was assumed that the approximated function has discontinuities of the first kind on a given system of circles and ellipses nested into each other. The analysis of the calculation results showed their correspondence to the theoretical statements of the work. The proposed method makes it possible to obtain a given approximation accuracy with a smaller number of projections, that is, with less irradiation.
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Yang, Yi, Xiangguang Dai, Xianxiu Zhang, Yuelei Feng, Yashu Zhang, and Changcheng Xiang. "Stability for a Non-Smooth Filippov Ratio-Dependent Predator-Prey System through a Smooth Lyapunov Function." Mathematical Problems in Engineering 2022 (September 28, 2022): 1–6. http://dx.doi.org/10.1155/2022/6807336.

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For nonsmooth Filippov systems, the stability of the system is assumed to be proved by nonsmooth Lyapunov functions, such as piecewise smooth Lyapunov functions. This extension was based on the Filippov solution and Clarke generalized gradient. However, it is difficult to estimate the gradient of a non-smooth Lyapunov function. In some cases, the nonsmooth system can be divided into continuous and discontinuous components. If the Lebesgue measure of the discontinuous components is zero, the smooth Lyapunov function can be utilized to prove the stability of the system owing to the inner product of the gradient of the Lyapunov function of the discontinuous components being zero. In this paper, we apply the smooth Lyapunov function to prove the stability of the nonsmooth ratio-dependent predator-prey system. In contrast to the existing literature, in this paper, although the system is divided into continuous and discontinuous components, the inner product of the gradient of the Lyapunov function of the discontinuous part is not zero but negative. In the proof of stability, the negative value condition is stricter than the zero-value condition. This proof method only needs to construct a smooth Lyapunov function, which is simpler than a non-smooth Lyapunov function or other methods.
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Dissertations / Theses on the topic "Discontinuous Function"

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Costin, William James. "Radial basis function interpolation applied to discontinuous mesh interfaces." Thesis, University of Bristol, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.653069.

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For large-scale Computational Fluid Dynamics (CFD) simulations it is often necessary to divide the domain into a mesh of discrete points or volumes. However, the domain can also be split into a set of zones separated by interfaces, allowing the zones to be meshed individually. Discontinuous or nonmatching mesh spacing across the zonal interfaces offers many advantages, particularly in terms of easing the mesh generation process, reduction of required mesh densities, and relative motion between mesh zones. However, accurate data transfer across the interfaces is required for global solution accuracy to be maintained. A more versatile data transfer method for discontinuous interfaces has the potential to reduce both the complexity of, and constraints place on, the process of discretising complex domains. This research was motivated by work on large-scale parallelised CFD simulations using high quality structured multiblock meshes. For such tasks the accuracy of the final result has a significant dependence on the quality of the mesh used to discretise the domain. The mesh is split into separate zones for parallel computation but must be generated as a topographically consistent whole, rather than individually for each zone. The objective therefore was to create a new method of discontinuous interface data transfer that does not place topographic limitations on the mesh, simplifying the mesh generation process. To this end, the fields of flow solution, high accuracy interpolation and mesh generation have been investigated with the aim of formulating and assessing a new data transfer approach. A new data transfer method based on Radial Basis Function (RBF) interpolation is developed and presented. Strategies for the construction of the interpolation data set are compared and a new more advanced approach developed. A series of analytical tests are used to assess the properties of the new method: Both the order of accuracy of the method and the ability to accurately model the full range of frequency content are considered. The method is applied to both finite difference and finite volume numerical solutions. For the latter both multi-grid discretisation and parallelised solution have been ,j ABSTRACT implemented as part of integration into an existing parallel, multiblock, multi grid compressible flow solver. Additionally, the relative merits and cost of localised and global forms of the method are assessed. The method has been applied to a series of aeronautical test cases including a subsonic and transonic aerofoil. The results show that the method is both effective and robust, providing accurate transmission for well and poorly conceived interface geometries. One great success is that in generic form the method remains applicable to all iterative solution methods with similar domain discretisation requirements; as a result there are many opportunities for further work.
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Dubois, Olivier 1980. "Optimized Schwarz methods for the advection-diffusion equation and for problems with discontinuous coefficients." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=103379.

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Optimized Schwarz methods are iterative domain decomposition procedures with greatly improved convergence properties, for solving second order elliptic boundary value problems. The enhanced convergence is obtained by replacing the Dirichlet transmission conditions in the classical Schwarz iteration with more general conditions that are optimized for performance. The convergence is optimized through the solution of a min-max problem. The theoretical study of the min-max problems gives explicit formulas or characterizations for the optimized transmission conditions for practical use, and it permits the analysis of the asymptotic behavior of the convergence.
In the first part of this work, we continue the study of optimized transmission conditions for advection-diffusion problems with smooth coefficients. We derive asymptotic formulas for the optimized parameters for small mesh sizes, in the overlapping and non-overlapping cases, and show that these formulas are accurate when the component of the advection tangential to the interface is not too large.
In a second part, we consider a diffusion problem with a discontinuous coefficient and non-overlapping domain decompositions. We derive several choices of optimized transmission conditions by thoroughly solving the associated min-max problems. We show in particular that the convergence of optimized Schwarz methods improves as the jump in the coefficient increases, if an appropriate scaling of the transmission conditions is used. Moreover, we prove that optimized two-sided Robin conditions lead to mesh-independent convergence. Numerical experiments with two subdomains are presented to verify the analysis. We also report the results of experiments using the decomposition of a rectangle into many vertical strips; some additional analysis is carried out to improve the optimized transmission conditions in that case.
On a third topic, we experiment with different coarse space corrections for the Schwarz method in a simple one-dimensional setting, for both overlapping and non-overlapping subdomains. The goal is to obtain a convergence that does not deteriorate as we increase the number of subdomains. We design a coarse space correction for the Schwarz method with Robin transmission conditions by considering an augmented linear system, which avoids merging the local approximations in overlapping regions. With numerical experiments, we demonstrate that the best Robin conditions are very different for the Schwarz iteration with, and without coarse correction.
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COLOMBO, Alessandro (ORCID:0000-0002-6527-8148). "An agglomeration-based discontinuous Galerkin method for compressible flows." Doctoral thesis, Università degli studi di Bergamo, 2011. http://hdl.handle.net/10446/222124.

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This thesis investigates the flexibility associated to Discontinuous Galerkin (DG) discretization on very general meshes obtained by means of agglomeration techniques. The work begins with a brief overview of the main tools that have been extended or specifically developed to deal with arbitrarily shaped elements in the DG context. Then two different implementations of the BRMPS scheme introduced by Bassi, Rebay, Mariotti, Pedinotti and Savini in [16] for the DG discretization of the Laplace operator on arbitrarily shaped elements have been presented. The validation of the scheme on a Poisson problem shows that the discrete polynomial space preserves optimal convergence properties. The discretization of the second order differential operator has been directly extended to the Navier-Stokes equations and the Reynolds Averaged Navier-Stokes (RANS) equations coupled with the k-w turbulence model of Wilcox [54]. In this regard, an implicit time integration strategy has been considered and assessed on classical validation test cases for the compressible f uid dynamics. Then a simple alternative approach to high-order mesh generation is presented. Indeed, once a standard fine grid able to provide an accurate domain discretization has been produced by means of standard low-order grid generation tools, a computational mesh suitable for the desired accuracy and computationally affordable can be obtained via agglomeration while keeping the boundary resolution of the fine grid. The effectiveness of this approach in representing the geometry of the domain is numerically assessed both on a Poisson model problem and on challenging inviscid and viscous test cases. Finally, the freedom in simply defining the topology of agglomerated meshes leads to a nonstandard approach to h-adaptivity that exploits adaptive agglomeration coarsening of a properly fine underlying grid. The effectiveness of this approach has been assessed on test cases involving both error-based and fl ow feature-based simple estimators.
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Li, Tianyu. "On the Formulation of a Hybrid Discontinuous Galerkin Finite Element Method (DG-FEM) for Multi-layered Shell Structures." Thesis, Virginia Tech, 2016. http://hdl.handle.net/10919/82962.

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A high-order hybrid discontinuous Galerkin finite element method (DG-FEM) is developed for multi-layered curved panels having large deformation and finite strain. The kinematics of the multi-layered shells is presented at first. The Jacobian matrix and its determinant are also calculated. The weak form of the DG-FEM is next presented. In this case, the discontinuous basis functions can be employed for the displacement basis functions. The implementation details of the nonlinear FEM are next presented. Then, the Consistent Orthogonal Basis Function Space is developed. Given the boundary conditions and structure configurations, there will be a unique basis function space, such that the mass matrix is an accurate diagonal matrix. Moreover, the Consistent Orthogonal Basis Functions are very similar to mode shape functions. Based on the DG-FEM, three dedicated finite elements are developed for the multi-layered pipes, curved stiffeners and multi-layered stiffened hydrofoils. The kinematics of these three structures are presented. The smooth configuration is also obtained, which is very important for the buckling analysis with large deformation and finite strain. Finally, five problems are solved, including sandwich plates, 2-D multi-layered pipes, 3-D multi-layered pipes, stiffened plates and stiffened multi-layered hydrofoils. Material and geometric nonlinearities are both considered. The results are verified by other papers' results or ANSYS.
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Mello, João Paulo Ferreira de. "Funções de Melnikov para classes de sistemas descontínuos no plano." reponame:Repositório Institucional da UFABC, 2015.

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Orientador: Prof. Dr. Maurício Firmino Silva Lima
Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Matemática , 2015.
Neste trabalho estudamos generalizações do Método de Melnikov para sistemas descontínuos no plano. Neste sentido, inicialmente abordamos esse problema como uma variação do estudo [1] onde um campo Hamiltoniano que admite um ciclo heteroclínico, cujo interior é folheado de órbitas periódicas, é perturbado por um campo Hamiltoniano não autonomo. Neste trabalho estendemos esse resultado para perturbações mais gerais (não conservativas) e apresentamos funções de Melnikov nesse novo contexto. Finalmente, abordamos o problema mais geral, relativo à perturbação de campos não conservativos, onde a função de Melnikov, associada a órbita heteroclínica, é obtida.
In this work we study generalizations of Melnikov's method to planar discontinuous dynamical system. Initially we study this problem as a variation of the work [1] where a Hamiltonian vector field that admits an heteroclinic cycle with its interior foliated by a family of periodic orbits is perturbed by a Hamiltonian perturbation. In this work we extended the results to more general perturbation (non conservative) and we show the Melnikov's functions in this new context. Finally, we approach a more general problem related to a perturbation of the non-conservative vector field where we obtained the Melnikov's function that is associated with a heteroclínic orbit.
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Santos, Iguer Luis Domini dos [UNESP]. "Análise de estabilidade de sistemas dinâmicos descontínuos e aplicações." Universidade Estadual Paulista (UNESP), 2008. http://hdl.handle.net/11449/94290.

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Made available in DSpace on 2014-06-11T19:27:07Z (GMT). No. of bitstreams: 0 Previous issue date: 2008-02-26Bitstream added on 2014-06-13T19:06:47Z : No. of bitstreams: 1 santos_ild_me_sjrp.pdf: 434711 bytes, checksum: 230caec3d969a14efac9b1700fd1dd97 (MD5)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Neste trabalho introduzimos uma classe de sistemas dinâmicos descontínuos com espaço tempo contínuo e analisamos Teoremas que asseguram condições suficientes para a estabilidade de Lyapunov utilizando funções de Lyapunov. Além disso, consideramos também Teoremas de Recíproca, que sob algumas condições garantem uma determinada necessidade para esses Teoremas de estabilidade de Lyapunov.
In this work we introduce a class of discontinuous dynamical systems with time space continuous and we analyze Theorems that ensure sufficient conditions for the Lyapunov stability using Lyapunov functions. Moreover, we also consider Converse Theorems, which under some conditions guarantee a determined necessity for those Theorems of Lyapunov stability.
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Denniston, Jeffrey T. "A Study of Subsystems of Topological Systems Motivated by the Question of Discontinuity in TopSys." Kent State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=kent1497095905660085.

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Wei, Jiangong. "Surface Integral Equation Methods for Multi-Scale and Wideband Problems." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1408653442.

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He, Taiping. "Reaction-Diffusion Systems with Discontinuous Reaction Functions." NCSU, 2005. http://www.lib.ncsu.edu/theses/available/etd-03192005-101102/.

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This dissertation studies coupled reaction diffusion systems with discontinuous reaction functions. It includes three parts: The first part is concerned with the existence of solutions for a coupled system of two parabolic equations and the second part is devoted to the monotone iterative methods for monotone and mixed quasimonotone functions. Various monotone iterative schemes are presented and each of these schemes leads to an existence-comparison theorem and the monotone convergence of the maximal and minimal sequences. In the third part, the monotone iterative schemes are applied to compute numerical solutions of the system. These numerical solutions are based on the finite element method which gives a finite approximation of the coupled system. Numerical results for some scalar parabolic bounday problems and a coupled system of parabolic equations are also given.
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Díaz, Lolimar, and Raúl Naulin. "A set of almost periodic discontinuous functions." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95357.

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Books on the topic "Discontinuous Function"

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I, Khudi͡a︡ev S., ed. Analysis in classes of discontinuous functions and equations of mathematical physics. Dordrecht: M. Nijhoff, 1985.

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1968-, Schmidt Ralf, ed. Elements of the representation theory of the Jacobi group. Boston: Birkhäuser Verlag, 1998.

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Center, Langley Research, ed. An adaptive pseudospectral method for discontinuous problems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1988.

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Pietro, Daniele Antonio Di. Mathematical aspects of discontinuous galerkin methods. Berlin: Springer, 2012.

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Yuri, Trakhinin, ed. Stability of strong discontinuities in magnetohydrodynamics and electrohydrodynamics. Hauppauge, N.Y: Nova Science Publishers, 2003.

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David, Gottlieb, Shu Chi-Wang, and Langley Research Center, eds. On one-sided filters for spectral Fourier approximations of discontinuous functions. Hampton, Va: National Aeronautics and Space Administration, 1991.

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1892-1969, Rademacher Hans, Andrews George E. 1938-, Bressoud David M. 1950-, Parson L. Alayne 1947-, and Hans Rademacher Centenary Conference (1992 : Pennsylvania State University), eds. The Rademacher legacy to mathematics: The centenary conference in honor of Hans Rademacher, July 21-25, 1992, the Pennsylvania State University. Providence, R.I: American Mathematical Society, 1994.

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David, Gottlieb, Shu Chi-Wang, and Langley Research Center, eds. On one-sided filters for spectral Fourier approximations of discontinuous functions. Hampton, Va: National Aeronautics and Space Administration, 1991.

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Gottlieb, David. Resolution properties of the Fourier method for discontinuous waves. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1992.

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Chi-Wang, Shu, and Langley Research Center, eds. Resolution properties of the Fourier method for discontinuous waves. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1992.

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Book chapters on the topic "Discontinuous Function"

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Schwartz, Niels, and James J. Madden. "Discontinuous semi-algebraic functions." In Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings, 241–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093991.

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Kamneva, Liudmila. "Discontinuous Value Function in Time-Optimal Differential Games." In Annals of the International Society of Dynamic Games, 111–31. Boston: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-8089-3_6.

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Heikkilä, Seppo. "Implicit Function Theorems and Discontinuous Implicit Differential Equations." In Integral Methods in Science and Engineering, 79–84. Boston, MA: Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8184-5_14.

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Kalashnykova, Nataliya I., Vyacheslav V. Kalashnikov, and Mario A. Ovando Montantes. "Consistent Conjectures in Mixed Oligopoly with Discontinuous Demand Function." In Intelligent Decision Technologies, 427–36. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29977-3_43.

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Komperda, Jonathan, and Farzad Mashayek. "Filtered Density Function Implementation in a Discontinuous Spectral Element Method." In Modeling and Simulation of Turbulent Mixing and Reaction, 169–80. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-2643-5_7.

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Sobolev, Alexander V. "A Szegő Limit Theorem for Operators with Discontinuous Symbols in Higher Dimensions: Widom’s Conjecture." In Spectral Theory, Function Spaces and Inequalities, 211–31. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0263-5_12.

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Cielecki, Lukasz, and Olgierd Unold. "2D Discontinuous Function Approximation with Real-Valued Grammar-Based Classifier System." In Lecture Notes in Computer Science, 10–17. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-31588-6_2.

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Barkalov, Konstantin, and Marina Usova. "A Search Algorithm for the Global Extremum of a Discontinuous Function." In Communications in Computer and Information Science, 37–49. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-92711-0_3.

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Yu, SenNien, KeRen Chen, and HungJen Tsai. "A 2-Span Mask Algorithm for Optimal Scheduling with Discontinuous Fuel Cost Function." In Lecture Notes in Electrical Engineering, 247–55. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-4981-2_27.

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Kozlov, Vladimir, and Vladimir Maz’ya. "Asymptotics of a Singular Solution to the Dirichlet Problem for an Elliptic Equation with Discontinuous Coefficients Near the Boundary." In Function Spaces, Differential Operators and Nonlinear Analysis, 75–115. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8035-0_5.

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Conference papers on the topic "Discontinuous Function"

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Moll, S. "Some remarks providing discontinuous maps on some Cp(X) spaces." In Function Spaces VIII. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc79-0-10.

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Drouhin, Henri-Jean, Federico Bottegoni, T. L. Hoai Nguyen, Jean-Eric Wegrowe, and Guy Fishman. "Discontinuous envelope function in semiconductor heterostructures." In SPIE NanoScience + Engineering, edited by Henri-Jean Drouhin, Jean-Eric Wegrowe, and Manijeh Razeghi. SPIE, 2013. http://dx.doi.org/10.1117/12.2026511.

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Sen-Nien Yu and Yuan-Kang Wu. "Economic dispatch with discontinuous fuel cost function by a hybrid method." In 7th IET International Conference on Advances in Power System Control, Operation and Management (APSCOM 2006). IEE, 2006. http://dx.doi.org/10.1049/cp:20062131.

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Komperda, Jonathan, Zia Ghiasi, Farzad Mashayek, Abolfazl Irannejad, and Farhad A. Jaberi. "Filtered Mass Density Function for Use in Discontinuous Spectral Element Method." In 50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2014. http://dx.doi.org/10.2514/6.2014-3471.

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Shurina, Ella P., and Ekaterina I. Mikhaylova. "Modified multiscale discontinuous Galerkin method in the function space H(curl)." In 2016 13th International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE). IEEE, 2016. http://dx.doi.org/10.1109/apeie.2016.7806499.

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Shurina, E. P., and E. I. Mikhaylova. "Modified multiscale discontinuous Galerkin method in the function space H(curl)." In 2016 13th International Scientific-Technical Conference on Actual Problems of Electronics Instrument Engineering (APEIE). IEEE, 2016. http://dx.doi.org/10.1109/apeie.2016.7806963.

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Sadamoto, T., and M. Yamakita. "Robust adaptive optimal control for unknown dynamical systems with discontinuous cost function." In 2012 American Control Conference - ACC 2012. IEEE, 2012. http://dx.doi.org/10.1109/acc.2012.6314715.

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Guo, Bo, Qian Li, and Shuang-cheng Jia. "Multi-lane discontinuous lane line instance segmentation based on discrimination loss function." In 2020 7th International Conference on Information Science and Control Engineering (ICISCE). IEEE, 2020. http://dx.doi.org/10.1109/icisce50968.2020.00383.

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Tenne, Yoel, Shigeru Obayashi, and S. W. Armfield. "Airfoil Shape Optimization by Minimization of an Expensive and Discontinuous Black-box Function." In AIAA Infotech@Aerospace 2007 Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-2874.

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Jiang, Weisen, and Hai-Tao Fang. "Identification for wiener system with discontinuous piece-wise linear function via sparse optimization." In 2014 33rd Chinese Control Conference (CCC). IEEE, 2014. http://dx.doi.org/10.1109/chicc.2014.6896082.

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Reports on the topic "Discontinuous Function"

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Woutersen, Tiemen M., and John Ham. Calculating confidence intervals for continuous and discontinuous functions of parameters. Institute for Fiscal Studies, May 2013. http://dx.doi.org/10.1920/wp.cem.2013.2313.

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