Mesh smoothing (or r-refinement) are used in computer aided design, interpolation, numerical solution of partial differential equations, etc. We derive a new smoothing called parallelogram smoothing. The new smoothing tries to fit a given domain by the parallelograms. We present several numerical examples and compare our results against the traditional Laplacian smoothing. Presented numerical w...

Dr. Thomas C. Chiang LECTURE 2 MOVING AVERAGES AND EXPONENTIAL SMOOTHING OVERVIEW This lecture introduces time-series smoothing forecasting methods. Various models are discussed, including methods applicable to nonstationary and seasonal time-series data. These models are viewed as classical time-series model; all of them are univariate. LEARNING OBJECTIVES • Moving averages • Forecasting using...