A marching-on in time meshless kernel based solver for full-wave electromagnetic simulation
A meshless particle method based on an unconditionally stable time domain numerical scheme, oriented to electromagnetic transient simulations, is presented. The proposed scheme improves the smoothed particle electromagnetics method, already developed by ...
Noise in the complex plane: open problems
In this paper, we present a certain number of computer results that require theoretical support in order to acquire a full status.
On the complete pivoting conjecture for Hadamard matrices: further progress and a good pivots property
Further progress is achieved for the growth conjecture for Hadamard matrices. It is proved that the leading principal minors of a CP Hadamard matrix form an increasing sequence. Bounds for the sixth and seventh pivot of any CP Hadamard matrix are given. ...
A tau method for nonlinear dynamical systems
In this work we present a new Tau method for the solution of nonlinear systems of differential equations which are linear in the derivative of highest order and polynomial in the remaining. We avoid the linearization of the problem by associating to it ...
A note on the alternate trapezoidal quadrature method for Fredholm integral eigenvalue problems
We consider an approximate method based on the alternate trapezoidal quadrature for the eigenvalue problem given by a periodic singular Fredholm integral equation of second kind. For some convolution-type integral kernels, the eigenvalues of the ...
Shift-invariant approximations of structured shift-variant blurring matrices
In this paper we analyze in a general and pure algebraic way imaging systems characterized by shift-variant integral kernels which hide some intrinsic shift-invariance, related to an appropriate coordinate change; we call as structured shift-variant ...
Accelerating data uncertainty quantification by solving linear systems with multiple right-hand sides
The subject of this work is accelerating data uncertainty quantification. In particular, we are interested in expediting the stochastic estimation of the diagonal of the inverse covariance (precision) matrix that holds a wealth of information concerning ...
Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices
For a class of block two-by-two systems of linear equations with certain skew-Hamiltonian coefficient matrices, we construct additive block diagonal preconditioning matrices and discuss the eigen-properties of the corresponding preconditioned matrices. ...