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...
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...
We develop numerical methods for solving nonlinear equations of conservation laws with flux function that depends on discontinuous coefficients. Using a relaxation approximation, ...
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...
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...