Abstract: Simulation and control of many dynamic systems involve solving partial differential equations (PDE). This letter proposes a semi-analytical solution (SAS) approach for fast and high-quality ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

School of Chemistry, University of Bristol, Bristol, BS8 1TS, United Kingdom Department of Computer Science, University of Bristol, Bristol, BS8 1UB, United Kingdom Article Views are the ...

dae-cpp is a cross-platform, header-only C++17 library for solving stiff systems of DAEs (an initial value problem). DAE systems can contain both differential and algebraic equations and can be ...

In the past few years, fractional differential equations have emerged as a strong and well-organized mathematical tool in the study of many occurrences in science and engineering. Research in ...

I have been interested in the derivation of new and better Runge-Kutta algorithms for some time. In particular, I showed that the design of Runge-Kutta pairs by E. Fehlberg could be improved to ...

For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. A new computer-assisted proof marks a major breakthrough in that quest.

Learn methods for interpolation, numerical integration and derivation, and finite difference methods for differential equations. You can use these live scripts as demonstrations in lectures, class ...

Chemistry, mathematics and physics are central to our understanding of nature. Physics explores the fundamental laws of mechanics, electromagnetism, quantum mechanics and relativity. Chemistry studies ...

aSchool of Clinical Sciences, Monash University, Clayton, VIC 3168, Australia bDepartment of Rheumatology, Monash Health, Monash University, Clayton, VIC 3168, Australia Systemic lupus erythematosus ...