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APPML
2007
48views more  APPML 2007»
13 years 11 months ago
Nonlinear integral equations singular in the dependent variable
Nonnegative solutions are established for nonlinear integral equations where the nonlinearity G(t, y) may be singular at y = 0. Existence is established using the Leray–Schauder...
Donal O'Regan, Ravi P. Agarwal, Kanishka Perera
MOC
2010
13 years 5 months ago
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
In this paper, a Jacobi-collocation spectral method is developed for Volterra integral equations of the second kind with a weakly singular kernel. We use some function transformati...
Yanping Chen, Tao Tang
AMC
2006
105views more  AMC 2006»
13 years 11 months ago
Stable numerical methods for conservation laws with discontinuous flux function
We develop numerical methods for solving nonlinear equations of conservation laws with flux function that depends on discontinuous coefficients. Using a relaxation approximation, ...
Mohammed Seaïd
GPB
2010
231views Solid Modeling» more  GPB 2010»
13 years 8 months ago
Mining Gene Expression Profiles: An Integrated Implementation of Kernel Principal Component Analysis and Singular Value Decompos
The detection of genes that show similar profiles under different experimental conditions is often an initial step in inferring the biological significance of such genes. Visualiz...
Ferran Reverter, Esteban Vegas, Pedro Sánch...
SYNASC
2008
IEEE
266views Algorithms» more  SYNASC 2008»
14 years 5 months ago
On Computing Solutions of Linear Diophantine Equations with One Non-linear Parameter
We present an algorithm for solving Diophantine equations which are linear in the variables, but non-linear in one parameter. This enables us to compute data dependences in more ge...
Armin Größlinger, Stefan Schuster