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1-8 of 8 reviews |
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Exact and approximate sparse solutions of underdetermined linear equations
Jokar S., Pfetsch M. SIAM Journal on Scientific Computing 31(1): 23-44, 2008. Type: Article
This paper deals with the complexity and computation of sparse solutions of matrix equations. The matrix of interest has fewer rows than columns and is thus an underdetermined linear system. Of the multidimensional space of solutions, ...
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Apr 20 2009 |
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A fast direct solver for the biharmonic problem in a rectangular grid
Ben-Artzi M., Croisille J., Fishelov D. SIAM Journal on Scientific Computing 31(1): 303-333, 2008. Type: Article
The biharmonic problem comes up in important application areas such as fluid dynamics. Methods to solve it have become more complex as computers have improved in speed and storage capacity. The methods are based on a finite-difference ...
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Mar 26 2009 |
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The generalized singular value decomposition and the method of particular solutions
Betcke T. SIAM Journal on Scientific Computing 30(3): 1278-1295, 2008. Type: Article
In this paper, the author considers the solution of the eigenvalue problem for differential operators in a bounded region in the plane, using the method of particular solutions (MPS) (sometimes called the point matching method). Betcke...
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Mar 20 2009 |
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 A condition number analysis of a line-surface intersection algorithm
Srijuntongsiri G., Vavasis S. SIAM Journal on Scientific Computing 30(2): 1064-1081, 2008. Type: Article
A classic problem in the fields of geometric modeling and computer graphics (GM-CG) is that of finding all intersections between a parametric surface and a line. What makes this paper different from similar contributions is that an emp...
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Aug 11 2008 |
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Multi-element generalized polynomial chaos for arbitrary probability measures
Wan X., Karniadakis G. SIAM Journal on Scientific Computing 28(3): 901-928, 2006. Type: Article
In computing, it is a challenge to obtain reliable information with uncertainties in inputs. To model uncertainty in physical applications, polynomial chaos is studied. The authors of this paper propose a multielement generalized polyn...
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Sep 6 2007 |
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High-resolution finite volume methods for dusty gas jets and plumes
Pelanti M., LeVeque R. SIAM Journal on Scientific Computing 28(4): 1335-1360, 2006. Type: Article
This is an extremely well-written and thorough exposition of a computational model for dusty gas jets, such as those found in volcanic eruptions. The model for dusty gas flows comprises compressible Euler equations for the gas, togethe...
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Mar 23 2007 |
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A variable step Runge-Kutta-Nyström integrator for reversible systems of second order initial value problems
Cash J. SIAM Journal on Scientific Computing 26(3): 963-978, 2005. Type: Article
Nyström problems, y”(x) = f(x,y(x)), have important applications, and efficient models for their solution are of considerable practical importance. The symmetr...
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Nov 1 2005 |
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A Jacobi-Davidson method for solving complex symmetric eigenvalue problems
Arbenz P., Hochstenbach M. SIAM Journal on Scientific Computing 25(5): 1655-1673, 2004. Type: Article
A new method is developed for solving the generalized complex symmetric eigenvalue problem Ax=&lgr; Bx, where the matrix B is invertible. This problem is important in electro...
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Jan 28 2005 |
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