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Bibliografias temáticas / Differential equations, Partial Numerical solutions

Literatura científica selecionada sobre o tema "Differential equations, Partial Numerical solutions"

Autor: Grafiati

Publicado: 4 de junho de 2021

Última modificação: 4 de março de 2023

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Artigos de revistas
Teses / dissertações
Livros
Capítulos de livros
Trabalhos de conferências
Relatórios de organizações

Artigos de revistas sobre o assunto "Differential equations, Partial Numerical solutions":

1

NAKAO, Mitsuhiro. "Numerical Verification of Solutions for Partial Differential Equations". IEICE ESS FUNDAMENTALS REVIEW 2, n.º 3 (2009): 19–28. http://dx.doi.org/10.1587/essfr.2.3_19.

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2

Nakao, Mitsuhiro T. "Numerical verification for solutions to partial differential equations". Sugaku Expositions 30, n.º 1 (17 de março de 2017): 89–109. http://dx.doi.org/10.1090/suga/419.

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3

Wu, G., Eric Wai Ming Lee e Gao Li. "Numerical solutions of the reaction-diffusion equation". International Journal of Numerical Methods for Heat & Fluid Flow 25, n.º 2 (2 de março de 2015): 265–71. http://dx.doi.org/10.1108/hff-04-2014-0113.

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Purpose – The purpose of this paper is to introduce variational iteration method (VIM) to construct equivalent integral equations for initial-boundary value problems of nonlinear partial differential equations. The Lagrange multipliers become the integral kernels. Design/methodology/approach – Using the discrete numerical integral formula, the general way is given to solve the famous reaction-diffusion equation numerically. Findings – With the given explicit solution, the results show the conveniences of the general numerical schemes and numerical simulation of the reaction-diffusion is finally presented in the cases of various coefficients. Originality/value – The method avoids the treatment of the time derivative as that in the classical finite difference method and the VIM is introduced to construct equivalent integral equations for initial-boundary value problems of nonlinear partial differential equations.

4

Balamuralitharan, S., e . "MATLAB Programming of Nonlinear Equations of Ordinary Differential Equations and Partial Differential Equations". International Journal of Engineering & Technology 7, n.º 4.10 (2 de outubro de 2018): 773. http://dx.doi.org/10.14419/ijet.v7i4.10.26114.

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My idea of this paper is to discuss the MATLAB program for various mathematical modeling in ordinary differential equations (ODEs) and partial differential equations (PDEs). Idea of this paper is very useful to research scholars, faculty members and all other fields like engineering and biology. Also we get easily to find the numerical solutions from this program.

5

Zou, Guang-an. "Numerical solutions to time-fractional stochastic partial differential equations". Numerical Algorithms 82, n.º 2 (5 de novembro de 2018): 553–71. http://dx.doi.org/10.1007/s11075-018-0613-0.

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6

Zhang, Zhao. "Numerical Analysis and Comparison of Gridless Partial Differential Equations". International Journal of Circuits, Systems and Signal Processing 15 (31 de agosto de 2021): 1223–31. http://dx.doi.org/10.46300/9106.2021.15.133.

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In the field of science and engineering, partial differential equations play an important role in the process of transforming physical phenomena into mathematical models. Therefore, it is very important to get a numerical solution with high accuracy. In solving linear partial differential equations, meshless solution is a very important method. Based on this, we propose the numerical solution analysis and comparison of meshless partial differential equations (PDEs). It is found that the interaction between the numerical solutions of gridless PDEs is better, and the absolute error and relative error are lower, which proves the superiority of the numerical solutions of gridless PDEs

7

Secer, Aydin. "Sinc-Galerkin method for solving hyperbolic partial differential equations". An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 8, n.º 2 (24 de julho de 2018): 250–58. http://dx.doi.org/10.11121/ijocta.01.2018.00608.

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In this work, we consider the hyperbolic equations to determine the approximate solutions via Sinc-Galerkin Method (SGM). Without any numerical integration, the partial differential equation transformed to an algebraic equation system. For the numerical calculations, Maple is used. Several numerical examples are investigated and the results determined from the method are compared with the exact solutions. The results are illustrated both in the table and graphically.

8

Yazıcı, Muhammet, e Harun Selvitopi. "Numerical methods for the multiplicative partial differential equations". Open Mathematics 15, n.º 1 (22 de novembro de 2017): 1344–50. http://dx.doi.org/10.1515/math-2017-0113.

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Abstract We propose the multiplicative explicit Euler, multiplicative implicit Euler, and multiplicative Crank-Nicolson algorithms for the numerical solutions of the multiplicative partial differential equation. We also consider the truncation error estimation for the numerical methods. The stability of the algorithms is analyzed by using the matrix form. The result reveals that the proposed numerical methods are effective and convenient.

9

Al-Smadi, Mohammed, Asad Freihat, Hammad Khalil, Shaher Momani e Rahmat Ali Khan. "Numerical Multistep Approach for Solving Fractional Partial Differential Equations". International Journal of Computational Methods 14, n.º 03 (13 de abril de 2017): 1750029. http://dx.doi.org/10.1142/s0219876217500293.

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In this paper, we proposed a novel analytical technique for one-dimensional fractional heat equations with time fractional derivatives subjected to the appropriate initial condition. This new analytical technique, namely multistep reduced differential transformation method (MRDTM), is a simple amendment of the reduced differential transformation method, in which it is treated as an algorithm in a sequence of small intervals, in order to hold out accurate approximate solutions over a longer time frame compared to the traditional RDTM. The fractional derivatives are described in the Caputo sense, while the behavior of solutions for different values of fractional order [Formula: see text] compared with exact solutions is shown graphically. The analysis is accompanied by four test examples to demonstrate that the proposed approach is reliable, fully compatible with the complexity of these equations, and can be strongly employed for many other nonlinear problems in fractional calculus.

10

Wang, Zhigang, Xiaoting Liu, Lijun Su e Baoyan Fang. "Numerical Solutions of Convective Diffusion Equations using Wavelet Collocation Method". Advances in Engineering Technology Research 1, n.º 1 (17 de maio de 2022): 192. http://dx.doi.org/10.56028/aetr.1.1.192.

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Some partial differential equations appear in many application fields. Therefore, the discussion of numerical solutions of those partial differential equations using numerical methods becomes a valuable and important issue in numerical simulation. In numerical methods, the wavelet-collocation method has been frequently developed for solving PDEs, and the algorithm has yielded substantial results. However, theoretical research of the numerical solution has been rarely discussed yet. In this paper, the numerical solution of convective diffusion equations using the wavelet-collocation method is established, and its existence and uniqueness are derived.

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Teses / dissertações sobre o assunto "Differential equations, Partial Numerical solutions":

1

Bratsos, A. G. "Numerical solutions of nonlinear partial differential equations". Thesis, Brunel University, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.332806.

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2

Sundqvist, Per. "Numerical Computations with Fundamental Solutions". Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-5757.

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3

Kwok, Ting On. "Adaptive meshless methods for solving partial differential equations". HKBU Institutional Repository, 2009. http://repository.hkbu.edu.hk/etd_ra/1076.

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4

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.
Title from document title page. Document formatted into pages; contains v, 58 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 56-58).

5

Williamson, Rosemary Anne. "Numerical solution of hyperbolic partial differential equations". Thesis, University of Cambridge, 1985. https://www.repository.cam.ac.uk/handle/1810/278503.

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6

Postell, Floyd Vince. "High order finite difference methods". Diss., Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/28876.

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7

Luo, Wuan Hou Thomas Y. "Wiener chaos expansion and numerical solutions of stochastic partial differential equations /". Diss., Pasadena, Calif. : Caltech, 2006. http://resolver.caltech.edu/CaltechETD:etd-05182006-173710.

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8

Cheung, Ka Chun. "Meshless algorithm for partial differential equations on open and singular surfaces". HKBU Institutional Repository, 2016. https://repository.hkbu.edu.hk/etd_oa/278.

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Radial Basis function (RBF) method for solving partial differential equation (PDE) has a lot of applications in many areas. One of the advantages of RBF method is meshless. The cost of mesh generation can be reduced by playing with scattered data. It can also allow adaptivity to solve some problems with special feature. In this thesis, RBF method will be considered to solve several problems. Firstly, we solve the PDEs on surface with singularity (folded surface) by a localized method. The localized method is a generalization of finite difference method. A priori error estimate for the discreitzation of Laplace operator is given for points selection. A stable solver (RBF-QR) is used to avoid ill-conditioning for the numerical simulation. Secondly, a {dollar}H^2{dollar} convergence study for the least-squares kernel collocation method, a.k.a. least-square Kansa's method will be discussed. This chapter can be separated into two main parts: constraint least-square method and weighted least-square method. For both methods, stability and consistency analysis are considered. Error estimate for both methods are also provided. For the case of weighted least-square Kansa's method, we figured out a suitable weighting for optimal error estimation. In Chapter two, we solve partial differential equation on smooth surface by an embedding method in the embedding space {dollar}\R^d{dollar}. Therefore, one can apply any numerical method in {dollar}\R^d{dollar} to solve the embedding problem. Thus, as an application of previous result, we solve embedding problem by least-squares kernel collocation. Moreover, we propose a new embedding condition in this chapter which has high order of convergence. As a result, we solve partial differential equation on smooth surface with a high order kernel collocation method. Similar to chapter two, we also provide error estimate for the numerical solution. Some applications such as pattern formation in the Brusselator system and excitable media in FitzHughNagumo model are also studied.

9

Yang, Xue-Feng. "Extensions of sturm-liouville theory : nodal sets in both ordinary and partial differential equations". Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/28021.

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10

He, Chuan. "Numerical solutions of differential equations on FPGA-enhanced computers". [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-1248.

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Livros sobre o assunto "Differential equations, Partial Numerical solutions":

1

W, Thomas J. Numerical partial differential equations. New York: Springer, 1995.

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2

Duffy, Dean G. Solutions of partial differential equations. Blue Ridge Summit, PA: Tab Professional and Reference Books, 1986.

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3

Lui, S. H. Numerical analysis of partial differential equations. Hoboken, N.J: Wiley, 2011.

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4

I, Hariharan S., e Moulden Trevor H, eds. Numerical methods for partial differential equations. Harlow, Essex, England: Longman Scientific & Technical, 1986.

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5

I, Hariharan S., e Moulden T. H. 1939-, eds. Numerical methods for partial differential equations. Harlow: Longman Scientific & Technical, 1986.

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6

Bertoluzza, Silvia, Giovanni Russo, Silvia Falletta e Chi-Wang Shu. Numerical Solutions of Partial Differential Equations. Basel: Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-8940-6.

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7

Bertoluzza, Silvia. Numerical Solutions of Partial Differential Equations. Basel: Birkhäuser Basel, 2009.

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8

Morton, K. W. Numerical solution of partial differential equations. 2^a ed. Cambridge: Cambridge Univeristy Press, 2005.

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9

Morton, K. W. Numerical solution of partial differential equations. New York: Cambridge University Press, 1994.

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10

Lui, S. H. Numerical analysis of partial differential equations. Hoboken, N.J: Wiley, 2011.

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Capítulos de livros sobre o assunto "Differential equations, Partial Numerical solutions":

1

Logan, J. David. "Numerical Computation of Solutions". In Applied Partial Differential Equations, 257–77. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-12493-3_6.

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2

Bleecker, David, e George Csordas. "Numerical Solutions of PDEs — An Introduction". In Basic Partial Differential Equations, 503–58. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4684-1434-9_8.

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3

Stroud, K. A., e Dexter Booth. "Numerical solutions of partial differential equations". In Advanced Engineering Mathematics, 593–641. London: Macmillan Education UK, 2011. http://dx.doi.org/10.1057/978-0-230-34474-7_18.

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4

Saha Ray, Santanu. "Numerical Solutions of Partial Differential Equations". In Numerical Analysis with Algorithms and Programming, 591–640. Boca Raton : Taylor & Francis, 2016. | “A CRC title.”: Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9781315369174-10.

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5

Leung, Anthony W. "Systems of Finite Difference Equations, Numerical Solutions". In Systems of Nonlinear Partial Differential Equations, 271–323. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-015-3937-1_6.

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6

Dong, Gang Nathan. "Numerical Solutions of Financial Partial Differential Equations". In Handbook of Quantitative Finance and Risk Management, 1209–21. Boston, MA: Springer US, 2010. http://dx.doi.org/10.1007/978-0-387-77117-5_79.

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7

Saha Ray, Santanu. "Numerical Solutions of Riesz Fractional Partial Differential Equations". In Nonlinear Differential Equations in Physics, 119–54. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-15-1656-6_4.

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8

Dean, Edward J., e Roland Glowinski. "On the Numerical Solution of the Elliptic Monge—Ampère Equation in Dimension Two: A Least-Squares Approach". In Partial Differential Equations, 43–63. Dordrecht: Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-8758-5_3.

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9

Pownuk, Andrzej. "Numerical solutions of fuzzy partial differential equations and its applications in computational mechanics". In Fuzzy Partial Differential Equations and Relational Equations, 308–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-39675-8_13.

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10

Rathish Kumar, B. V., e Gopal Priyadarshi. "Wavelet Galerkin Methods for Higher Order Partial Differential Equations". In Mathematical Modelling, Optimization, Analytic and Numerical Solutions, 231–53. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-0928-5_11.

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Trabalhos de conferências sobre o assunto "Differential equations, Partial Numerical solutions":

1

Siddique, Mohammad, Theodore E. Simos, George Psihoyios e Ch Tsitouras. "Symposium: Advances in the Numerical Solutions of Partial Differential Equations". In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3498011.

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2

Kudryashov, N. A., e A. K. Volkov. "Concatenons as the solutions for non-linear partial differential equations". In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4992559.

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3

Surana, K. S., e M. A. Bona. "Computations of Higher Class Solutions of Partial Differential Equations". In ASME 2001 Engineering Technology Conference on Energy. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/etce2001-17142.

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Abstract This paper presents a new computational strategy, computational framework and mathematical framework for numerical computations of higher class solutions of differential and partial differential equations. The approach presented here utilizes ‘strong forms’ of the governing differential equations (GDE’s) and least squares approach in constructing the integral form. The conventional, or currently used, approaches seek the convergence of a solution in a fixed (order) space by h, p or hp-adaptive processes. The fundamental point of departure in the proposed approach is that we seek convergence of the computed solution by changing the orders of the spaces of the basis functions. With this approach convergence rates much higher than those from h,p–processes are achievable and the progressively computed solutions converge to the ‘strong’ i.e. ‘theoretical’ solutions of the GDE’s. Many other benefits of this approach are discussed and demonstrated. Stationary and time-dependant convection-diffusion and Burgers equations are used as model problems.

4

Aleixo, Rafael, e Daniela Amazonas. "Noise Reduction on Numerical Solutions of Partial Differential Equations using Fuzzy Transform". In CNMAC 2017 - XXXVII Congresso Nacional de Matemática Aplicada e Computacional. SBMAC, 2018. http://dx.doi.org/10.5540/03.2018.006.01.0402.

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5

Ashyralyev, Allaberen, Evren Hincal e Bilgen Kaymakamzade. "Numerical solutions of the system of partial differential equations for observing epidemic models". In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018). Author(s), 2018. http://dx.doi.org/10.1063/1.5049044.

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6

Barletti, Luigi, Luigi Brugnano, Gianluca Frasca Caccia e Felice Iavernaro. "Recent advances in the numerical solution of Hamiltonian partial differential equations". In NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS (NUMTA–2016): Proceedings of the 2nd International Conference “Numerical Computations: Theory and Algorithms”. Author(s), 2016. http://dx.doi.org/10.1063/1.4965308.

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7

Nečasová, Gabriela, Petr Veigend e Václav Šátek. "Parallel solution of partial differential equations using the Taylor series method". In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0082209.

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8

Nunez, Rafael, Juan Gonzalez e Jose Camberos. "Large-Scale Numerical Solution of Partial Differential Equations with Reconfigurable Computing". In 18th AIAA Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-4085.

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9

Campagna, R., S. Cuomo, S. Leveque, G. Toraldo, F. Giannino e G. Severino. "Some remarks on the numerical solution of parabolic partial differential equations". In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2017 (ICCMSE-2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5012378.

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10

Rababah, Abedallah. "Numerical solution of Burger-Huxley second order partial differential equations using splines". In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0027712.

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Relatórios de organizações sobre o assunto "Differential equations, Partial Numerical solutions":

1

Levine, Howard A. Numerical Solution of Ill Posed Problems in Partial Differential Equations. Fort Belvoir, VA: Defense Technical Information Center, setembro de 1987. http://dx.doi.org/10.21236/ada189383.

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2

Levine, Howard A. Numerical Solution of I11 Posed Problems in Partial Differential Equations. Fort Belvoir, VA: Defense Technical Information Center, novembro de 1985. http://dx.doi.org/10.21236/ada162378.

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3

Levine, Howard A. Numerical Solution of Ill Posed Problems in Partial Differential Equations. Fort Belvoir, VA: Defense Technical Information Center, abril de 1985. http://dx.doi.org/10.21236/ada166096.

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4

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

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5

Dupont, Todd F. Some Investigations into Variable Meshes for Numerical Solution of Partial Differential Equations. Fort Belvoir, VA: Defense Technical Information Center, maio de 1986. http://dx.doi.org/10.21236/ada168977.

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6

Oliker, V. I., e P. Waltman. New Methods for Numerical Solution of One Class of Strongly Nonlinear Partial Differential Equations with Applications. Fort Belvoir, VA: Defense Technical Information Center, janeiro de 1986. http://dx.doi.org/10.21236/ada186166.

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7

Oliker, V. I., e P. Waltman. New Methods for Numerical Solution of One Class of Strongly Nonlinear Partial Differential Equations with Applications. Fort Belvoir, VA: Defense Technical Information Center, agosto de 1987. http://dx.doi.org/10.21236/ada189945.

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8

Trenchea, Catalin. Efficient Numerical Approximations of Tracking Statistical Quantities of Interest From the Solution of High-Dimensional Stochastic Partial Differential Equations. Fort Belvoir, VA: Defense Technical Information Center, fevereiro de 2012. http://dx.doi.org/10.21236/ada567709.

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9

Trenchea, Catalin. Efficient Numerical Approximations of Tracking Statistical Quantities of Interest From the Solution of High-Dimensional Stochastic Partial Differential Equations. Fort Belvoir, VA: Defense Technical Information Center, fevereiro de 2012. http://dx.doi.org/10.21236/ada577122.

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10

Sharp, D. H., S. Habib e M. B. Mineev. Numerical Methods for Stochastic Partial Differential Equations. Office of Scientific and Technical Information (OSTI), julho de 1999. http://dx.doi.org/10.2172/759177.

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