An implementation of Stiefel's exchange algorithm for determining a Chebyshev solution to an overdetermined system of linear equations is presented, that uses Gaussian LU decomposition with row ...

In order to facilitate a more profound comprehension of the interrelationship between the values in the table, they have been represented graphically in Figure 2. As demonstrated by the graphs, the ...

Abstract: This article introduces a new method for discretizing and solving integral equation formulations of Maxwell's equations, which achieves spectral accuracy for smooth surfaces. The approach is ...

Abstract: An H-matrix accelerated direct solver employing the high-order Chebyshev-based Boundary Integral Equation (CBIE) method has been formulated, tested, and profiled for performance on high ...

In this paper, we state and prove a new formula expressing explicitly the derivatives of shifted Chebyshev polynomials of any degree and for any fractional-order in terms of shifted Chebyshev ...

Differential equations are the foundation of mathematical models representing the universe's physics. Hence, it is significant to solve partial and ordinary differential equations, such as ...

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This work mainly focuses on the numerical solution of the Poisson equation with the Dirichlet boundary conditions. Compared to the traditional 5-point finite difference method, the Chebyshev spectral ...

In this paper, we consider solving the Helmholtz equation in the Cartesian domain , subject to homogeneous Dirichlet boundary condition, discretized with the Chebyshev pseudo-spectral method. The main ...

Three of the common filter topologies are Chebyshev, Butterworth, and Bessel. Which filter topology has the flatest response in the passband? Which filter topology has the steepest decline into the ...