Results 31 to 40 of about 351,224 (307)
Summation by parts and truncation error matching on hyperboloidal slices [PDF]
Physical Review D, 2021 We examine stability of summation by parts (SBP) numerical schemes that use hyperboloidal slices to include future null infinity in the computational domain. This inclusion serves to mitigate outer boundary effects and, in the future, will help reduce systematic errors in gravitational waveform extraction.
Shalabh Gautam +3 more
openaire +2 more sources
Stability of Correction Procedure via Reconstruction With Summation-by-Parts Operators for Burgers' Equation Using a Polynomial Chaos Approach [PDF]
, 2018 In this paper, we consider Burgers' equation with uncertain boundary and initial conditions. The polynomial chaos (PC) approach yields a hyperbolic system of deterministic equations, which can be solved by several numerical methods.
Glaubitz, Jan +2 more
core +2 more sources
Generalised summation-by-parts operators and variable coefficients [PDF]
Journal of Computational Physics, 2018 High-order methods for conservation laws can be highly efficient if their stability is ensured. A suitable means mimicking estimates of the continuous level is provided by summation-by-parts (SBP) operators and the weak enforcement of boundary conditions.
openaire +2 more sources
Vanishing integrals for Hall-Littlewood polynomials [PDF]
, 2011 It is well known that if one integrates a Schur function indexed by a partition $\lambda$ over the symplectic (resp. orthogonal) group, the integral vanishes unless all parts of $\lambda$ have even multiplicity (resp. all parts of $\lambda$ are even). In
Venkateswaran, Vidya
core +2 more sources
Infinite series identities involving quadratic and cubic harmonic numbers [PDF]
, 2018 By means of the modified Abel lemma on summation by parts, we investigate infinite series involving quadratic and cubic harmonic numbers.
Chu, Wenchang, Wang, Xiaoyuan
core +3 more sources
Research and Improvement of Self-similar Traffic Generation Method [PDF]
Jisuanji gongcheng, 2016 Currently widely used fractal Gaussian noise method is less effective in approximating Gaussian power spectrum and with low accuracy in generating self-similar traffic.To solve this problem,this paper proposes a high-order linear fitting method.Dividing ...
ZHU Linglei,YAO Yuancheng,QIN Mingwei
doaj +1 more source
Central European Journal of Educational Research, 2021 This study deals with the optimal equipment of a mobile case for computer science teachers, which offers the possibility to teach the skills of the curricula from primary to high school of the 21st century.
Jens Nothacker
doaj +1 more source
AppliedMathThis paper investigates a unique and stable numerical approximation of the Riemann–Liouville Fractional Derivative. We utilize diagonal norm finite difference-based time integration methods within the summation-by-parts framework.
Sam Motsoka Rametse +1 more
doaj +1 more source
Symmetric duality for left and right Riemann–Liouville and Caputo fractional differences
Arab Journal of Mathematical Sciences, 2017 A discrete version of the symmetric duality of Caputo–Torres, to relate left and right Riemann–Liouville and Caputo fractional differences, is considered.
Thabet Abdeljawad, Delfim F.M. Torres
doaj +1 more source
WCNN3D: Wavelet Convolutional Neural Network-Based 3D Object Detection for Autonomous Driving
Sensors, 2022 Three-dimensional object detection is crucial for autonomous driving to understand the driving environment. Since the pooling operation causes information loss in the standard CNN, we designed a wavelet-multiresolution-analysis-based 3D object detection ...
Simegnew Yihunie Alaba, John E. Ball
doaj +1 more source