Although Fourier series approximation is ubiquitous in computational physics owing to the Fast Fourier Transform (FFT) algorithm, efficient techniques for the fast evaluation of a three-dimensional truncated Fourier series at a set of arbitrary points are quite rare, especially in MATLAB language. Here we employ the Nonequispaced Fast Fourier Transform (NFFT, by J. Keiner, S. Kunis, and D. Pott...

hypertension in newborn infants, particularly those requiring intensive care, is becoming increasingly recognized, with prevalence of 0.2-3%. recent studies have established normative tables for blood pressure (bp) in both term and pre-term infants based on the gestational age, postnatal age, gender, weight and height, identifying the neonates at increased risk for early-onset cardiovascular di...

In this article, we establish the probability foundation of periodic measure approach in analysing periodicity a dataset. It is based on recent work random processes. While paths provide pathwise model for time series datasets with pattern, their law and gives statistical description ergodic theory offers scope analysis. The connection sample path revealed large numbers (LLN). We prove first pe...

for some fixed τ , which is called the period of f . Though function approximation using orthogonal polynomials is very convenient, there is only one kind of periodic polynomial, that is, a constant. So, polynomials are not good for approximating periodic functions. In this case, trigonometric functions are quite useful. A large class of important computational problems falls under the category...

Here are some facts about Fourier Series — useful for pde and elsewhere. Proofs of Lemmas are easy exercises, and not given. On the other hand, proofs of LEMMAS are harder; their proofs are indicated, or a reference is given.

The non-Fourier effect in heat conduction is important in strong thermal environments and thermal shock problems. Generally, commercial FE codes are not available for analysis of non-Fourier heat conduction. In this study, a meshless formulation is presented for the analysis of the non-Fourier heat conduction in the materials. The formulation is based on the symmetric local weak form of the sec...