Have you ever wondered why we study numerical methods in school? Concepts such as root finding, interpolation, and integration can often feel abstract. The truth is that what feels abstract in class ...

ABSTRACT: Evaporation is a critical process in the concentration of orange juice, affecting product quality and process efficiency. This study develops a comprehensive mathematical model based on mass ...

We present the formulation and applications of JAX-CPFEM, an open-source, GPU-accelerated, and differentiable 3-D crystal plasticity finite element method (CPFEM) software package. Leveraging the ...

Recent decades have seen a steady rise in global energy demands, driven by growth in population, industry, and agriculture. Concurrently, traditional energy sources like coal, oil, and natural gas are ...

Introduction: Newton's Raphson method, a cornerstone of numerical analysis, stands as a testament to the elegance and efficacy of mathematical techniques in solving complex problems. Originally ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Article Views are the COUNTER-compliant sum of full text article downloads since ...

Department of Chemistry, University of Florence, Via Maragliano 75/77, 50144 Florence, Italy Department of Inorganic Chemistry, University of Valencia, C\Dr. Moliner 50, 46100 Burjassot (Valencia), ...

Upgrade Notes Stable API, no more breaking changes for all future v3 releases (except previews). Finally unlocks development and contributions around non-linear optimization and native providers over ...

This paper gives the extension of Newton’s method, and a variety of formulas to compare the convergences for the extension of Newton’s method (Section 4). Section 5 gives the numerical calculations.

XIRR or extended internal rate of return is a measure of return used when multiple investments (at different points in time) are made in a financial instrument. A look at what XIRR represents and how ...