Very-high-order TENO schemes with adaptive accuracy order and adaptive dissipation control

Integer-order Versus Fractional-order Adaptive Fuzzy Control of Electrically Driven Robots with Elastic Joints

Real-time robust adaptive fuzzy fractional-order control of electrically driven flexible-joint robots has been addressed in this paper. Two important practical situations have been considered: the fact that robot actuators have limited voltage, and the fact that current signals are contaminated with noise. Through of a novel voltage-based fractional order control for an integer-order dynamical ...

Very-high-order weno schemes

We study WENO(2r-1) reconstruction [Balsara D., Shu C.W.: J. Comp. Phys. 160 (2000) 405–452], with the mapping (WENOM) procedure of the nonlinear weights [Henrick A.K., Aslam T.D., Powers J.M.: J. Comp. Phys. 207 (2005) 542–567], which we extend up to WENO17 (r = 9). We find by numerical experiment that these procedures are essentially nonoscillatory without any stringent CFL limitation (CFL ∈ ...

High-Order Flux Reconstruction Schemes with Minimal Dispersion and Dissipation

Modal analysis of the flux reconstruction (FR) formulation is performed to obtain the semi-discrete and fully-discrete dispersion relations, using which, the wave properties of physical as well as spurious modes are characterized. The effect of polynomial order, correction function and solution points on the dispersion, dissipation and relative energies of the modes are investigated. Using this...

Multiresolution Wavelet Based Adaptive Numerical Dissipation Control for High Order Methods

A Wavelet-Optimized, Very High Order Adaptive Grid and Order Numerical Method

Differencing operators of arbitrarily high order can be constructed by interpolating a polynomial through a set of data followed by differentiation of this polynomial and finally evaluation of the polynomial at the point where a derivative approximation is desired. Furthermore, the interpolating polynomial can be constructed from algebraic, trigonometric, or, perhaps exponential polynomials. Th...