Starting Framework for Analog Numerical Analysis for Energy-Efficient Computing

The focus of this work is to develop a starting framework for analog numerical analysis and related algorithm questions. Digital computation is enabled by a framework developed over the last 80 years. Having an analog framework enables wider capability while giving the designer tools to make reasonable choices. Analog numerical analysis concerns computation on physical structures utilizing the real-valued representations of that physical system. This work starts the conversation of analog numerical analysis, including exploring the relevancy and need for this framework. A complexity framework based on computational strengths and weaknesses builds from addressing analog and digital numerical precision, as well as addresses analog and digital error propagation due to computation. The complimentary analog and digital computational techniques enable wider computational capabilities.