Inaccuracies in the initial conditions for cosmological N-body simulations could easily be the
largest source of systematic error in predicting the non-linear large-scale structure. From the …

The critical review discusses the most accurate methods for description of turbulent flows:
the computationally very expensive direct numerical simulation (DNS) and slightly less …

With the increase in computational power, High Fidelity (HiFi) simulations become
increasingly important to nuclear thermal hydraulics for fundamental understanding of …

Aliasing errors arise in the multiplication of partial sums, such as those encountered when
numerically solving the Navier–Stokes equations, and can be detrimental to the accuracy of …

Numerous applied problems of two-dimensional (2-D) and 3-D imaging are formulated in
continuous domain. They place great emphasis on obtaining and manipulating the Fourier …

As computer hardware has evolved, the time required to perform numerical simulations has
reduced, allowing investigations of a wide range of new problems. This thesis focuses on …

An efficient algorithm for computing the one-dimensional partial fast Fourier transform f_j= ∑
_ k= 0^ c (j) e^ 2 π ijk/N F_k fj=∑ k= 0 c (j) e 2 π ijk/NF k is presented. Naive computation of …

This paper discusses the necessity and strategy to unify the development of a dynamic
solver and a minimum action method (MAM) for a spatially extended system when …

Numerical results from a spectral code are the defacto standard in CFD community for many
fluid flow problems. Their popularity is motivated by the highest accuracy coupled with …

The diffraction calculation is critical in computer-generated holography (CGH). However, it
becomes a performance bottleneck when generating ultra-high-resolution holograms due to …