Relevant bibliographies by topics / Elliptic Differential equations

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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 'Elliptic Differential equations'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "Elliptic Differential equations"

1

Marano, Salvatore A. "Implicit elliptic differential equations." Set-Valued Analysis 2, no. 4 (1994): 545–58. http://dx.doi.org/10.1007/bf01033071.

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Potts, Renfrey B. "Weierstrass elliptic difference equations." Bulletin of the Australian Mathematical Society 35, no. 1 (1987): 43–48. http://dx.doi.org/10.1017/s0004972700013022.

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The Weierstrass elliptic function satisfies a nonlinear first order and a nonlinear second order differential equation. It is shown that these differential equations can be discretized in such a way that the solutions of the resulting difference equations exactly coincide with the corresponding values of the elliptic function.
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Marano, Salvatore A. "Elliptic equations and differential inclusions." Nonlinear Analysis: Theory, Methods & Applications 30, no. 3 (1997): 1763–70. http://dx.doi.org/10.1016/s0362-546x(97)00252-6.

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Raoult, Annie. "Elliptic Differential Equations (W. Hackbusch)." SIAM Review 36, no. 3 (1994): 518–19. http://dx.doi.org/10.1137/1036130.

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Ueno, Kazushige. "On pseudoelliptic systems of first order differential equations." Nagoya Mathematical Journal 108 (December 1987): 15–51. http://dx.doi.org/10.1017/s0027763000002634.

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In the study of elliptic differential operators of second order, we found that the automorphism pseudogroups are of finite type ([4]). However this fact takes a complete change in elliptic differential operators of first order.So as to make the objects which can be dealt with clear, we introduce the concept of pseudoellipticity of first order differential operators (Definition 1.1), which is naturally satisfied by first order elliptic differential operators.
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Gepreel, Khaled A., and Amr M. S. Mahdy. "Algebraic computational methods for solving three nonlinear vital models fractional in mathematical physics." Open Physics 19, no. 1 (2021): 152–69. http://dx.doi.org/10.1515/phys-2021-0020.

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Abstract This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical physics [the space-time fractional coupled Hirota Satsuma KdV equations, the space-time fractional symmetric regularized long wave (SRLW equation), and the space-time fractional coupled Sakharov–Kuznetsov (S–K) equations] are investigated through the direct algebraic method for more explanation of their novel characterizes. This appro
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Wang, Li, and Lin Zhang. "A High Accuracy Numerical Inversion Method in Solving the Sobolev Differential Equations." Applied Mechanics and Materials 444-445 (October 2013): 637–40. http://dx.doi.org/10.4028/www.scientific.net/amm.444-445.637.

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In the paper, by means of Laplace transform the Sobolev differential equations become to the elliptic differential equations, which can be solved by the fourth order finite difference equations in parallel. After getting the approximate solutions of the elliptic differential equations, we can achieve the numerical solutions with high accuracy for the Sobolev differential equations by using the Zakian inversion method. At last, we carry out one numerical experiment to indicate that the method in this paper is effective.
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Tarasova, О. А. "On Discrete Elliptic Pseudo-Differential Equations." Herald of Dagestan State University 36, no. 3 (2021): 64–72. http://dx.doi.org/10.21779/2542-0321-2021-36-3-64-72.

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Popov, V. A. "Elliptic Functional Differential Equations with Degenerations." Lobachevskii Journal of Mathematics 41, no. 5 (2020): 869–94. http://dx.doi.org/10.1134/s199508022005011x.

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Ishizaki, Katsuya, Ilpo Laine, Shun Shimomura, and Kazuya Tohge. "Riccati Differential Equations with Elliptic Coefficients." Results in Mathematics 38, no. 1-2 (2000): 58–71. http://dx.doi.org/10.1007/bf03322431.

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Dissertations / Theses on the topic "Elliptic Differential equations"

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Brackenridge, Kenneth. "Multigrid solution of elliptic partial differential equations." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.260756.

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Trotti, Manuela. "Applications of elliptic functions to solve differential equations." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2016. http://amslaurea.unibo.it/10135/.

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In questa tesi si mostrano alcune applicazioni degli integrali ellittici nella meccanica Hamiltoniana, allo scopo di risolvere i sistemi integrabili. Vengono descritte le funzioni ellittiche, in particolare la funzione ellittica di Weierstrass, ed elenchiamo i tipi di integrali ellittici costruendoli dalle funzioni di Weierstrass. Dopo aver considerato le basi della meccanica Hamiltoniana ed il teorema di Arnold Liouville, studiamo un esempio preso dal libro di Moser-Integrable Hamiltonian Systems and Spectral Theory, dove si prendono in considerazione i sistemi integrabili lungo la geodetica
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Wang, Ying. "Contributions to local and nonlocal elliptic differential equations." Tesis, Universidad de Chile, 2015. http://repositorio.uchile.cl/handle/2250/134657.

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Doctor en Ciencias de la Ingeniería, Mención Modelación Matemática<br>Esta tesis doctoral está dividida en cuatro partes. La primera parte está dedicada al estudio de la simetría radial y las propiedades de monotonicidad de soluciones positivas de ecuaciones elípticas fraccionarias en la bola unitaria o en todo el espacio, usando el método de planos móviles. En la segunda parte, se consideran propiedades de decaimiento y simetría de las soluciones positivas para ecuaciones integro-diferenciales en todo el espacio. Estudiamos el decaimiento, construyendo super y subsoluciones apropiadas y
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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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Prinja, Gaurav Kant. "Adaptive solvers for elliptic and parabolic partial differential equations." Thesis, University of Manchester, 2010. https://www.research.manchester.ac.uk/portal/en/theses/adaptive-solvers-for-elliptic-and-parabolic-partial-differential-equations(f0894eb2-9e06-41ff-82fd-a7bde36c816c).html.

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In this thesis our primary interest is in developing adaptive solution methods for parabolic and elliptic partial differential equations. The convection-diffusion equation is used as a representative test problem. Investigations are made into adaptive temporal solvers implementing only a few changes to existing software. This includes a comparison of commercial code against some more academic releases. A novel way to select step sizes for an adaptive BDF2 code is introduced. A chapter is included introducing some functional analysis that is required to understand aspects of the finite element
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Mavinga, Nsoki. "Nonlinear second order parabolic and elliptic equations with nonlinear boundary conditions." Birmingham, Ala. : University of Alabama at Birmingham, 2008. https://www.mhsl.uab.edu/dt/2009r/mavinga.pdf.

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Thesis (Ph. D.)--University of Alabama at Birmingham, 2008.<br>Title from PDF title page (viewed Sept. 23, 2009). Additional advisors: Inmaculada Aban, Alexander Frenkel, Wenzhang Huang, Yanni Zeng. Includes bibliographical references.
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Zeng, Suxing. "Numerical solutions of boundary inverse problems for some elliptic partial differential equations." Morgantown, W. Va. : [West Virginia University Libraries], 2009. http://hdl.handle.net/10450/10345.

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Thesis (Ph. D.)--West Virginia University, 2009.<br>Title from document title page. Document formatted into pages; contains v, 58 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 56-58).
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Pütter, Rudolf. "Knotenmengen und Symmetrieeigenschaften von Lösungen einer Klasse semilinearer elliptischer Differentialgleichungen." Bonn : [s.n.], 1989. http://catalog.hathitrust.org/api/volumes/oclc/20436863.html.

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Andrš, David. "Adaptive hp-FEM for elliptic problems in 3D on irregular meshes." To access this resource online via ProQuest Dissertations and Theses @ UTEP, 2008. http://0-proquest.umi.com.lib.utep.edu/login?COPT=REJTPTU0YmImSU5UPTAmVkVSPTI=&clientId=2515.

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MONTEIRO, GABRIEL DE LIMA. "WEAK SOLUTIONS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS OF SECOND ORDER." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2018. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=36023@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>PROGRAMA DE SUPORTE À PÓS-GRADUAÇÃO DE INSTS. DE ENSINO<br>PROGRAMA DE EXCELENCIA ACADEMICA<br>Esse trabalho tem como objetivo ser uma introdução ao estudo da existência e unicidade de soluções fracas para equações diferenciais parciais elípticas. Começamos definindo o espaço de Sobolev para, a partir da definição, provarmos algumas propriedades básicas que nos ajudarão no estudo das equações diferenciais parciais elípticas. Finalizamos com o desenvolvimento do Teorema de Lax-M
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Books on the topic "Elliptic Differential equations"

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Hackbusch, Wolfgang. Elliptic Differential Equations. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-11490-8.

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Hackbusch, Wolfgang. Elliptic Differential Equations. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-54961-2.

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Levendorskiĭ, Serge. Degenerate elliptic equations. Kluwer, 1993.

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Volpert, Vitaly. Elliptic Partial Differential Equations. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0813-2.

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Volpert, Vitaly. Elliptic Partial Differential Equations. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0346-0537-3.

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Han, Qing. Elliptic partial differential equations. Courant Institute of Mathematical Sciences, New York University, 1997.

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Fanghua, Lin, ed. Elliptic partial differential equations. Courant Institute of Mathematical Sciences, 2000.

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Fernández-Real, Xavier, and Xavier Ros-Oton. Integro-Differential Elliptic Equations. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-54242-8.

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1966-, Cabré Xavier, ed. Fully nonlinear elliptic equations. American Mathematical Society, 1995.

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Bonheure, Denis, Mabel Cuesta, Enrique Lami Dozo, Peter Takáč, Jean Van Schaftingen, and Michel Willem, eds. Nonlinear Elliptic Partial Differential Equations. American Mathematical Society, 2011. http://dx.doi.org/10.1090/conm/540.

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Book chapters on the topic "Elliptic Differential equations"

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Hackbusch, Wolfgang. "Stokes Equations." In Elliptic Differential Equations. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-54961-2_12.

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Hackbusch, Wolfgang. "Stokes Equations." In Elliptic Differential Equations. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-11490-8_12.

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Quarteroni, Alfio. "Elliptic equations." In Numerical Models for Differential Problems. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49316-9_3.

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Borodzik, Maciej, Paweł Goldstein, Piotr Rybka, and Anna Zatorska-Goldstein. "Elliptic Equations." In Problems on Partial Differential Equations. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-14734-1_4.

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Quarteroni, Alfio. "Elliptic equations." In Numerical Models for Differential Problems. Springer Milan, 2014. http://dx.doi.org/10.1007/978-88-470-5522-3_3.

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Sauter, Stefan A., and Christoph Schwab. "Elliptic Differential Equations." In Boundary Element Methods. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-540-68093-2_2.

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Hackbusch, Wolfgang. "Special Differential Equations." In Elliptic Differential Equations. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-54961-2_10.

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Hackbusch, Wolfgang. "Special Differential Equations." In Elliptic Differential Equations. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-11490-8_10.

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Hackbusch, Wolfgang. "Elliptic Eigenvalue Problems." In Elliptic Differential Equations. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-54961-2_11.

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Hackbusch, Wolfgang. "Partial Differential Equations and Their Classification Into Types." In Elliptic Differential Equations. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-54961-2_1.

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Conference papers on the topic "Elliptic Differential equations"

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LAISTER, R., and R. E. BEARDMORE. "BIFURCATIONS IN DEGENERATE ELLIPTIC EQUATIONS." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0090.

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STAŃCZY, R. "ON SOME ELLIPTIC EQUATION WITH NONLOCAL NONLINEARITY." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0045.

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CHENG, YUANJI, and LINA WANG. "REMARKS ON BIFURCATION IN ELLIPTIC BOUNDARY VALUE PROBLEMS." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0178.

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GRISHINA, G. V. "ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0040.

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COLORADO, E., and I. PERAL. "SOME RESULTS FOR ELLIPTIC EIGENVALUE PROBLEMS WITH MOVING MIXED BOUNDARY CONDITIONS." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0089.

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LISKEVICH, VITALI, SOFYA LYAKHOVA, and VITALY MOROZ. "POSITIVE SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATIONS WITH CRITICAL LOWER ORDER TERMS." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0091.

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GHERGU, MARIUS, and VICENŢIU RĂDULESCU. "ON THE INFLUENCE OF A SUBQUADRATIC CONVECTION TERM IN SINGULAR ELLIPTIC PROBLEMS." In Applied Analysis and Differential Equations - The International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812708229_0011.

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SMYTH, BRIAN. "THE NATURE OF ELLIPTIC SECTORS IN THE PRINCIPAL FOLIATIONS OF SURFACE THEORY." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0158.

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Transirico, Maria, Sara Monsurrò, and Farman Mamedov. "Potential estimates and applications to elliptic equations." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0793.

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WANG, ZHI-QIANG. "MINIMAX METHOD, INVARIANT SETS, AND APPLICATIONS TO NODAL SOLUTIONS OF NONLINEAR ELLIPTIC PROBLEMS." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0094.

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Reports on the topic "Elliptic Differential equations"

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Werner, L., and F. Odeh. Numerical Methods for Stiff Ordinary and Elliptic Partial Differential Equations. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada153247.

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Ferretta, T. A parallel multigrid method for solving elliptic partial differential equations. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/7055158.

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Sharan, M., E. J. Kansa, and S. Gupta. Application of multiquadric method for numerical solution of elliptic partial differential equations. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10156506.

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McClain, Marjorie A. A comparison of hp-adaptive strategies for elliptic partial differential equations (long version). National Institute of Standards and Technology, 2011. http://dx.doi.org/10.6028/nist.ir.7824.

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Warsi, Z. U. Generation of Surface Grids through Elliptic Partial Differential Equations for Aircraft and Missile Configurations. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada172867.

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