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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...)": Date Reviewed
  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...

Dec 18 2017
  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 ...

May 18 2016
  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...

Nov 15 2005
  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...

Nov 11 2003
  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...

Oct 17 2003
  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 ...

Sep 12 2003
  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...

Aug 11 2003
  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...

Jul 1 2000
  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 ...

Mar 1 2000
  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...

Jan 1 2000
 
 
 
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