In this work, we present a new proposal for the second-order Adaptive Sigma Delta Modulation (ASDM). The new proposed Adaptation scheme is based on using Operational Transconductance Amplifier (OTAs) as an Integrator and as an Amplifier to adapt the quantizer stepsize to control the voltage gain by feedback the quantizer output through adaptation scheme. The stepsize is changing up or down by t...

Second derivative general linear methods (SGLMs) have been already implemented in a variable stepsize environment using Nordsieck technique. In this paper, we introduce SGLMs directly on nonuniform grid. By deriving the order conditions of proposed $p$ and stage $q=p$, some explicit examples these up to four are given. numerical experiments, show efficiency solving nonstiff problems confirm the...

It is widely accepted that the stepsize of great significance to gradient method. An efficient method with approximately optimal stepsizes mainly based on regularization models proposed for unconstrained optimization. More specifically, if objective function not close a quadratic line segment between current and latest iterates, model exploited carefully generate stepsize. Otherwise, approximat...