This article introduces a high-accuracy discrete singular convolution (DSC) for the numerical
simulation of coupled convective heat transfer problems. The problem of a buoyancy-driven …

This paper presents a new computational approach named hybrid Chebyshev surrogate
model with discrete singular convolution (CSM-DSC) method to study the nondeterministic …

This paper presents a novel computational approach, the discrete singular convolution
(DSC) algorithm, for analysing plate structures. The basic philosophy behind the DSC …

This paper explores the utility of a discrete singular convolution algorithm for solving certain
mechanical problems. Benchmark mechanical systems, including plate vibrations and …

This paper introduces the discrete singular convolution algorithm for vibration analysis of
rectangular plates with mixed boundary conditions. A unified scheme is proposed for the …

Theoretical analysis of high frequency vibrations is indispensable in a variety of engineering
designs. Much effort has been made on this subject in the past few decades. However, there …

This paper introduces the discrete singular convolution (DSC) for the vibration analysis of
rectangular plates with non-uniform and combined boundary conditions. A systematic …

In this paper, we study a novel numerical scheme for the fourth order partial integro-
differential equation with a weakly singular kernel. In the time direction, a Crank–Nicolson …

A discrete singular convolution (DSC) solver is developed for treating incompressible flows.
Three different two‐dimensional benchmark problems, the Taylor problem, the driven cavity …

This study introduces a novel scheme for the discrete high-frequency forced vibration
analysis based on discrete singular convolution (DSC) and mode superposition (MS) …