Introduction. The widespread use of piezoelectric materials in various industries stimulates the study of their physical characteristics and determines the urgency of such research.
P. A. Oganesyan, O. O. Shtein
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The Integral Equation Method for a Steady Kinematic Dynamo Problem [PDF]
With only a few exceptions, the numerical simulation of cosmic and laboratory hydromagnetic dynamos has been carried out in the framework of the differential equation method.
Atkinson +34 more
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Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II [PDF]
We describe a list of open problems in random matrix theory and the theory of integrable systems that was presented at the conference Asymptotics in Integrable Systems, Random Matrices and Random Processes and Universality, Centre de Recherches ...
Deift, Percy
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Inverse eigenvalue problems for acyclic matrices whose graph is a dense centipede
The reconstruction of a matrix having a pre-defined structure from given spectral data is known as an inverse eigenvalue problem (IEP). In this paper, we consider two IEPs involving the reconstruction of matrices whose graph is a special type of tree ...
Sharma Debashish, Sen Mausumi
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Automatic computation of quantum-mechanical bound states and wavefunctions [PDF]
We discuss the automatic solution of the multichannel Schr\"odinger equation. The proposed approach is based on the use of a CP method for which the step size is not restricted by the oscillations in the solution.
Ledoux, Veerle, Van Daele, Marnix
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Kinematic dynamo action in a sphere. I. Effects of differential rotation and meridional circulation on solutions with axial dipole symmetry [PDF]
A sphere containing electrically conducting fluid can generate a magnetic field by dynamo action, provided the flow is sufficiently complicated and vigorous. The dynamo mechanism is thought to sustain magnetic fields in planets and stars.
Arnoldi W. E. +8 more
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On the evolution of scattering data under perturbations of the Toda lattice [PDF]
We present the results of an analytical and numerical study of the long-time behavior for certain Fermi-Pasta-Ulam (FPU) lattices viewed as perturbations of the completely integrable Toda lattice.
Bilman, Deniz, Nenciu, Irina
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Multi-patch discontinuous Galerkin isogeometric analysis for wave propagation: explicit time-stepping and efficient mass matrix inversion [PDF]
We present a class of spline finite element methods for time-domain wave propagation which are particularly amenable to explicit time-stepping. The proposed methods utilize a discontinuous Galerkin discretization to enforce continuity of the solution ...
Chan, Jesse, Evans, John A
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Generalized Debye Sources Based EFIE Solver on Subdivision Surfaces [PDF]
The electric field integral equation is a well known workhorse for obtaining fields scattered by a perfect electric conducting (PEC) object. As a result, the nuances and challenges of solving this equation have been examined for a while.
Fu, Xin +3 more
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Analysis of Large Membrane Vibrations Using Fractional Calculus
The study of vibration equations of large membranes is crucial in various scientific and engineering fields. Analyzing the vibration equations of bridges, roofs, and spacecraft structures helps in designing structures that resist excessive oscillations ...
Nihar Ranjan Mallick +2 more
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