Academic literature on the topic 'Semi linear elliptic equations'

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Journal articles on the topic "Semi linear elliptic equations"

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Dongshuang, Zhang. "Semi-linear Elliptic Equations on Graph." Journal of Partial Differential Equations 30, no. 3 (2017): 221–31. http://dx.doi.org/10.4208/jpde.v30.n3.3.

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Mawhin, J., J. R. Ward, and M. Willem. "Variational methods and semi-linear elliptic equations." Archive for Rational Mechanics and Analysis 95, no. 3 (1986): 269–77. http://dx.doi.org/10.1007/bf00251362.

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Ehrnström, Mats. "On radial solutions of certain semi-linear elliptic equations." Nonlinear Analysis: Theory, Methods & Applications 64, no. 7 (2006): 1578–86. http://dx.doi.org/10.1016/j.na.2005.07.008.

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Mohammed, Ahmed. "Ground state solutions for singular semi-linear elliptic equations." Nonlinear Analysis: Theory, Methods & Applications 71, no. 3-4 (2009): 1276–80. http://dx.doi.org/10.1016/j.na.2008.11.080.

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Chen, Hua, Xiaochun Liu, and Yawei Wei. "Multiple solutions for semi-linear corner degenerate elliptic equations." Journal of Functional Analysis 266, no. 6 (2014): 3815–39. http://dx.doi.org/10.1016/j.jfa.2013.12.012.

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Munyamarere, F., and M. Willem. "Multiple Solutions of Semi-linear Elliptic Equations on RN." Journal of Mathematical Analysis and Applications 187, no. 2 (1994): 526–37. http://dx.doi.org/10.1006/jmaa.1994.1372.

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Mohammed, Ahmed, and Giovanni Porru. "Harnack inequality for non-divergence structure semi-linear elliptic equations." Advances in Nonlinear Analysis 7, no. 3 (2018): 259–69. http://dx.doi.org/10.1515/anona-2016-0050.

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AbstractIn this paper we establish a Harnack inequality for non-negative solutions of {Lu=f(u)} where L is a non-divergence structure uniformly elliptic operator and f is a non-decreasing function that satisfies an appropriate growth conditions at infinity.
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Huang, Chen. "A variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition." Advances in Nonlinear Analysis 11, no. 1 (2021): 285–303. http://dx.doi.org/10.1515/anona-2020-0197.

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Abstract We give a new non-smooth Clark’s theorem without the global symmetric condition. The theorem can be applied to generalized quasi-linear elliptic equations with small continous perturbations. Our results improve the abstract results about a semi-linear elliptic equation in Kajikiya [10] and Li-Liu [11].
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Ma, Li, and Lin Zhao. "Regularity for positive weak solutions to semi-linear elliptic equations." Communications on Pure & Applied Analysis 7, no. 3 (2008): 631–43. http://dx.doi.org/10.3934/cpaa.2008.7.631.

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Agarwal, Ravi P., Octavian G. Mustafa, and Liviu Popescu. "On the positive solutions of certain semi-linear elliptic equations." Bulletin of the Belgian Mathematical Society - Simon Stevin 16, no. 1 (2009): 49–57. http://dx.doi.org/10.36045/bbms/1235574191.

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Dissertations / Theses on the topic "Semi linear elliptic equations"

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Bouchitte, Guy. "Calcul des variations en cadre non reflexif : representation et relaxation de fonctionnelles integrales sur un espace de mesures, applications en plasticite et homogeneisation." Perpignan, 1987. http://www.theses.fr/1987PERP0033.

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Etude variationnelle de fonctionnelles convexes du type somomega f(x,u(x),du)dx lorsque la croissance de f necessite du travail dans un banach non reflexif. On abordera en particulier les questions relatives a la semi-continuite inferieure, la relaxation, la convergence variationnelle et l'approximation, l'equation d'euler. . . Ayant en vue certaines applications dans le dommaine de la mecanique (plasticite, milieux fissures), on s'interessera principalement au cas ou l'integrande f presente une croissance lineaire par rapport au gradient. Suivant une demarche desormais classique, cela nous am
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Oswald, Luc. "Etude de problemes non lineaires avec singularites." Paris 6, 1987. http://www.theses.fr/1987PA066060.

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Cette these est composee de dix articles que nous avons regroupes en deux parties. La premiere partie est constituee par l'etude et la classification des singularites isolees, premierement, d'une equation elliptique avec diffusion, deuxiemement, de l'equation parabolique correspondante. Dans la seconde partie sont etablis des resultats d'existence pour des problemes elliptiques semi-lineaires. Ces problemes sont caracterises respectivement, par une non-linearite singuliere, une condition de neumann degeneree, une non-linearite sous lineaire et, enfin, des exposants de sobolev critiques
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Chen, Huyuan. "Fully linear elliptic equations and semilinear fractionnal elliptic equations." Thesis, Tours, 2014. http://www.theses.fr/2014TOUR4001/document.

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Cette thèse est divisée en six parties. La première partie est consacrée à l'étude de propriétés de Hadamard et à l'obtention de théorèmes de Liouville pour des solutions de viscosité d'équations aux dérivées partielles elliptiques complètement non-linéaires avec des termes de gradient,<br>This thesis is divided into six parts. The first part is devoted to prove Hadamard properties and Liouville type theorems for viscosity solutions of fully nonlinear elliptic partial differential equations with gradient term
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Spence, Euan Alastair. "Boundary value problems for linear elliptic PDEs." Thesis, University of Cambridge, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.609476.

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Davidson, Bryan Duncan. "Recursive projection for semi-linear partial differential equations." Thesis, University of Bristol, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.294932.

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El-Nakla, Jehad A. H. "Finite difference methods for solving mildly nonlinear elliptic partial differential equations." Thesis, Loughborough University, 1987. https://dspace.lboro.ac.uk/2134/10417.

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This thesis is concerned with the solution of large systems of linear algebraic equations in which the matrix of coefficients is sparse. Such systems occur in the numerical solution of elliptic partial differential equations by finite-difference methods. By applying some well-known iterative methods, usually used to solve linear PDE systems, the thesis investigates their applicability to solve a set of four mildly nonlinear test problems. In Chapter 4 we study the basic iterative methods and semiiterative methods for linear systems. In particular, we derive and apply the CS, SOR, SSOR methods
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Bennett, G. N. "A semi-linear elliptic problem arising in the theory of superconductivity." Thesis, University of Sussex, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340827.

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Stissi, Santina Chiara. "Ghost-point methods for Elliptic and Hyperbolic Equations." Doctoral thesis, Università di Catania, 2019. http://hdl.handle.net/10761/4104.

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In this thesis we have presented a finite-difference ghost-point method to solve elliptic and hyperbolic equations on arbitrary domains. The equations are discretized on a uniform Cartesian grid. At first we applied the Coco-Russo method, which represents a generalization of the finite-difference method for the elliptic equations on arbitrary domains, at the resolution of the Poisson equation. This method proposes a polynomial interpolation technique to impose boundary conditions and therefore the interpolation error can influence the accuracy order of the method itself. We have proposed line
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Tang, Shaowu [Verfasser]. "Multiscale and geometric methods for linear elliptic and parabolic partial differential equations / Shaowu Tang." Bremen : IRC-Library, Information Resource Center der Jacobs University Bremen, 2008. http://d-nb.info/1034787411/34.

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MONTANARI, Piera. "Local and Global Existence results for the Characteristic Problem for Linear and Semi-linear Wave Equations." Doctoral thesis, Università degli studi di Ferrara, 2010. http://hdl.handle.net/11392/2389334.

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The thesis concerns the well posedness of the Characteristic Initial Value Problem for the Semilinear Wave Equation, with initial data on a light cone. In the first part of the thesis, an explicit representation formula for the solution of the linear equation is given, extending the results known for the homogeneous equation and the trace on the time axis of the solution. Further, Energy Estimates are derived. In constructing such Estimates one encounters several difficulties due to the presence of a geometrical singularity at the tip of the cone. To manage the construction of the Ene
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Books on the topic "Semi linear elliptic equations"

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Melrose, Richard B. Semi-linear diffraction of conormal waves. Société mathématique de France, 1996.

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Melrose, Richard B. Semi-linear diffraction of conormal waves. Société Mathématique de France, 1996.

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Melrose, Richard B. Semi-linear diffraction of conormal waves. Société Mathématique de France, 1996.

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Chabrowski, Jan. The Dirichlet problem with L2-boundary data for elliptic linear equations. Springer-Verlag, 1991.

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Haraux, Alain. Semi-linear hyperbolic problems in bounded domains. Harwood Academic Publishers, 1987.

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Chabrowski, Jan. The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0095750.

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Chabrowski, Jan. The Dirichlet problem with L²-boundary data for elliptic linear equations. Springer-Verlag, 1991.

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Kunoth, Angela. Multilevel preconditioning. Shaker, 1994.

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F, Thompson Joe, and United States. National Aeronautics and Space Administration., eds. Semi-annual status report for the period November 15, 1985 through May 14, 1986 ... entitled Transformation of two and three-dimensional regions by elliptic systems. Mississippi State University, Dept. of Aerospace Engineering, 1986.

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F, Thompson Joe, and United States. National Aeronautics and Space Administration, eds. Semi-annual status report for the period November 15, 1985 through May 14, 1986 ... entitled Transformation of two and three-dimensional regions by elliptic systems. Mississippi State University, Dept. of Aerospace Engineering, 1986.

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Book chapters on the topic "Semi linear elliptic equations"

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McLeod, Kevin. "Asymptotic Behaviour of Solutions of Semi-Linear Elliptic Equations in ℝ n." In Analysis and Continuum Mechanics. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83743-2_29.

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Kaper, Hans G., and Man Kam Kwong. "Uniqueness of non-negative solutions of a class of semi-linear elliptic equations." In Mathematical Sciences Research Institute Publications. Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-9608-6_1.

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Borsuk, Mikhail. "The Oblique Derivative Problem for Elliptic Second Order Semi-linear Equations in a Domain with a Conical Boundary Point." In Oblique Derivative Problems for Elliptic Equations in Conical Domains. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-28381-9_6.

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Manapova, Aigul. "An Iterative Process for the Solution of Semi-Linear Elliptic Equations with Discontinuous Coefficients and Solution." In Large-Scale Scientific Computing. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-26520-9_48.

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Taylor, Michael E. "Linear Elliptic Equations." In Texts in Applied Mathematics. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4684-9320-7_5.

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Taylor, Michael E. "Linear Elliptic Equations." In Partial Differential Equations I. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-33859-5_5.

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Taylor, Michael E. "Linear Elliptic Equations." In Partial Differential Equations I. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7055-8_5.

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Sauvigny, Friedrich. "Linear Elliptic Differential Equations." In Partial Differential Equations 2. Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2984-4_3.

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Whiteley, Jonathan. "Linear Elliptic Partial Differential Equations." In Mathematical Engineering. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49971-0_7.

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Valli, Alberto. "Second Order Linear Elliptic Equations." In UNITEXT. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-35976-7_2.

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Conference papers on the topic "Semi linear elliptic equations"

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Marcus, Moshe. "Positive solutions of semi-linear elliptic equations with absorption." In ALEXANDRU MYLLER MATHEMATICAL SEMINAR CENTENNIAL CONFERENCE. AIP, 2011. http://dx.doi.org/10.1063/1.3546083.

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Ashyralyev, Allaberen, and Elif Ozturk. "On Bitsadze-Samarskii type nonlocal boundary value problems for semi-linear elliptic equations." In FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS: ICAAM 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4747653.

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Zheng, Xin, M’hamed Boutaous, Shihe Xin, Dennis A. Siginer, Fouad Hagani, and Ronnie Knikker. "A New Approach to the Numerical Modeling of the Viscoelastic Rayleigh-Benard Convection." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-11675.

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Abstract A new approach to the numerical simulation of incompressible viscoelastic Rayleigh-Bénard convection in a cavity is presented. Due to the fact that the governing equations are of elliptic-hyperbolic type, a quasi-linear treatment of the hyperbolic part of the equations is proposed to overcome the strong instabilities that can be induced and is handled explicitly in time. The elliptic part related to the mass conservation and the diffusion is treated implicitly in time. The time scheme used is semi-implicit and of second order. Second-order central differencing is used throughout excep
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Hagani, Fouad, M’hamed Boutaous, Ronnie Knikker, Shihe Xin, and Dennis Siginer. "Numerical Modeling of Phan-Thien-Tanner Viscoelastic Fluid Flow Through a Square Cross-Section Duct: Heat Transfer Enhancement due to Shear-Thinning Effects." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-87568.

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Non-isothermal laminar flow of a viscoelastic fluid through a square cross-section duct is analyzed. Viscoelastic stresses are described by the Phan-Thien – Tanner model and the solvent shear stress is given by the linear Newtonian constitutive relationship. The solution of the set of governing equations spawns coupling between equations of elliptic-hyperbolic type. Our numerical approach is based on the finite-differences method. To treat the hyperbolic part, the system of equations are rewritten in a quasilinear form. The resulting pure advection terms are discretized using high-order upwind
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Hoh, Hsin Jen, John H. L. Pang, and Kin Shun Tsang. "Fatigue Modelling of Semi-Elliptical Surface Cracks in Welded Pipe Geometries." In ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/omae2016-54683.

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Offshore pipelines and risers transfer oil and gas across long distances, from seabed to production facility to the surface. The long pipelines are formed by welding together pipe segments. The welded joints formed are a source of stress concentration and defects from which fatigue cracks can grow. Hence, it is imperative that the effect of the weld geometry on the stress concentration be understood so that appropriate measures can be taken to assess the potential remaining service life of the welded structure. The effects can be understood by the linear elastic fracture mechanics approach, wh
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Sannikova, T. N. "Comparison of the semi-major axis drift taking into account the Yarkovsky effect in two orbital reference frames." In ASTRONOMY AT THE EPOCH OF MULTIMESSENGER STUDIES. Proceedings of the VAK-2021 conference, Aug 23–28, 2021. Crossref, 2022. http://dx.doi.org/10.51194/vak2021.2022.1.1.030.

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Let the asteroid move under the influence of the attraction to the Sun and the Yarkovsky force. For this problem, thelong-term evolution of the semi-major axis is investigated by solving the averaged equations of motion. The drift of thesemi-major axis of the object’s orbit occurs under the action of the transverse or tangential component of the perturbingacceleration, but, obviously, the drift magnitude should not depend on the choice of the frame of reference. We found thenumerical values of the transverse and tangential components of acceleration as average values over the orbital period bas
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Xu, Steven X., Darrell R. Lee, Douglas A. Scarth, and Russell C. Cipolla. "Update on Stress Intensity Factor Influence Coefficients for Axial ID Surface Flaws in Cylinders for Appendix A of ASME Section XI." In ASME 2015 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/pvp2015-46009.

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Article A-3000 of Appendix A in Section XI of the ASME Boiler and Pressure Vessel Code provides linear elastic fracture mechanics based calculation procedures for the determination of stress intensity factors. The 2015 Edition of ASME Section XI implements a number of significant improvements in Article A-3000. Major improvements include the implementation of an alternate method for calculation of the stress intensity factor for a surface flaw that makes explicit use of the Universal Weight Function Method and does not require a polynomial fit to the actual stress distribution, and the inclusi
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Burger, Reinhold. "Solving higher order linear differential equations having elliptic function coefficients." In the 39th International Symposium. ACM Press, 2014. http://dx.doi.org/10.1145/2608628.2608675.

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Taj, Safia, M. Safdar, and Riaz A. Khan. "Semi invariants for linear third order evolution equations." In CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5114180.

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Elías-Zúñiga, Alex. "Applying Jacobian Elliptic Functions to Solve Linear and Nonlinear Differential Equations With Mathematica." In Proceedings of the Fifth International Mathematica Symposium. PUBLISHED BY IMPERIAL COLLEGE PRESS AND DISTRIBUTED BY WORLD SCIENTIFIC PUBLISHING CO., 2003. http://dx.doi.org/10.1142/9781848161313_0007.

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Reports on the topic "Semi linear elliptic equations"

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Chandrasekaran, S., P. DeWilde, M. Gu, T. Pals, A. van der Veen, and D. White. Fast Stable Solvers for Sequentially Semi-Seperable Linear Systems of Equations. Office of Scientific and Technical Information (OSTI), 2003. http://dx.doi.org/10.2172/15003389.

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