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Browse All Reviews > Mathematics Of Computing (G) > Numerical Analysis (G.1) > Partial Differential Equations (G.1.8) > Elliptic Equations (G.1.8...)
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1-10 of 23
Reviews about "Elliptic Equations (G.1.8...)":
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Scalable zero knowledge via cycles of elliptic curves Ben-Sasson E., Chiesa A., Tromer E., Virza M. Algorithmica 79(4): 1102-1160, 2017. Type: Article
The construction of zk-SNARKs, that is, zero-knowledge succinct non-interactive arguments of knowledge, is the subject of this paper. The reader should be aware that “succinct” is a relative term: the authors note t...
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Dec 18 2017 |
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Variational methods for the numerical solution of nonlinear elliptic problems Glowinski R., SIAM, Philadelphia, PA, 2015. 482 pp. Type: Book (978-1-611973-77-8)
Partial differential equations (PDEs) arise in various branches of science and engineering. In fact, mathematical modeling of various problems in fluid dynamics and control theory leads to nonlinear partial differential equations of a ...
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May 18 2016 |
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Algorithm 843: Improvements to the Schwarz--Christoffel toolbox for MATLAB Driscoll T. ACM Transactions on Mathematical Software 31(2): 239-251, 2005. Type: Article
The Riemann mapping theorem states that a simply connected domain of the complex plane (except for the plane itself) can be conformally mapped to a standard region, such as the unit circle, the square, or the upper-half plane. Conforma...
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Nov 15 2005 |
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Numerical solution of elliptic partial differential equation using radial basis function neural networks Jianyu L., Siwei L., Yingjian Q., Yaping H. Neural Networks 16(5-6): 729-734, 2003. Type: Article
Differential equations are relationships between functions and their derivatives and naturally appear in many disciplines. It is well known that it is not easy to obtain the exact solutions. Therefore, several methods and techniques ar...
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Nov 11 2003 |
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Tutorial on elliptic PDE solvers and their parallelization Douglas C., Haase G., Langer U., SIAM, 2003. Type: Book (9780898715415)
This tutorial is an introduction to the numerical solution of elliptic partial differential equations (PDEs) and parallelization techniques, with an emphasis on finite element methods (FEM). Thus, it covers an important part of computa...
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Oct 17 2003 |
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Variational and numerical analysis of a dynamic frictionless contact problem with adhesion Chau O., Fernández J., Han W., Sofonea M. Journal of Computational and Applied Mathematics 156(1): 127-157, 2003. Type: Article
The authors of this paper consider a viscoelastic body that is clamped onto one part of a boundary, is subject to a given surface traction on a second part of the boundary, and can come in contact with an obstacle on the third part of ...
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Sep 12 2003 |
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Existence and comparison of maximal and minimal solutions for pseudomonotone elliptic problems in L Casado-Díaz J., Porretta A. Nonlinear Analysis: Theory, Methods & Applications 53(3-4): 351-373, 2003. Type: Article
This is an extension of Casado-D¿az’s earlier work [1]. It is well known that the non homogenous Dirichlet problem:where i...
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Aug 11 2003 |
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Global superconvergence of simplified hybrid combinations for elliptic equations with singularities, I. Basic theorem Li Z. Computing 65(1): 27-44, 2000. Type: Article
For the Poisson equation - δ u = f ( x , y ) on an L-shaped region in the plane with zero boundary conditions, the author establishes superconvergence rates of the solution gradients on t...
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Jul 1 2000 |
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High precision solutions of two fourth order eigenvalue problems Bjørstad P., Tjøstheim B. Computing 63(2): 97-107, 1999. Type: Article
The authors propose a numerical solution to the eigenvalue problem for the biharmonic operator and the bending plate problem using a spectral Legendre-Galerkin method. Using quadruple-precision arithmetic, accurate computations of the ...
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Mar 1 2000 |
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A numerical method to verify the elliptic eigenvalue problems including a uniqueness property Nagatou K. Computing 63(2): 109-130, 1999. Type: Article
The authors describe and analyze a method for computing inclusions on eigenvalues and eigenvectors of linear self-adjoint elliptic partial differential equations in two space dimensions. The requirement for precise inclusions forces th...
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Jan 1 2000 |
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