To avoid, or at least reduce, the parachuting region, the dynamic controller should increase the error signal emax [2] or reduce the integral controller time constant τ i.
This work reduces the integral equations system to a linear system in generalized case such that the solution of the resulting system yields the unknown Bernstein coefficients of the solutions.
This approach allows us to handle the oscillatory singularity and to reduce the integral equations to a linear algebraic system of infinite equations for the unknown coefficients of the interfacial stresses, which is solved through a method of collocation.
Here, we have shown the difference of the effective changes (i.e., ΔV T and the stress glut) from the actual changes (i.e., ΔV C and the actual pressure change) as a consequence of reducing the two surface integral terms in the representation (6) to one term as either (8) or (25).
Our approach utilizes an approximation of Feynman path integrals, known as the semiclassical method, to reduce the path integral to only the "classical" paths connecting the wavefunction at one time step to the next.
The formulation presented here renders the computational procedure very efficient by reducing the multiplicity of the integrals.
These matrices are then used to reduce the singular integral equations to some linear algebraic system.
Uniaxial strain reduces the overlapping integral of C-C atoms and influences the interaction between electrons and nuclei.
