Seeing the whole from a part: Revealing hidden turbulent structures from limited observations and equations

The irregular, swirling motion of fluids we call turbulence can be found everywhere, from stirring in a teacup to currents in ...
C&EN

Iterative Integral Equation Analysis to Predict Solvation Thermodynamics in Coarse-Grained Polymer Melts Using MARTINI Models

Predicting the solvation thermodynamics of a solute in polymer melts at a coarse-grained (CG) level is important in diverse fields of macromolecular science. This knowledge supports the development of ...
Frontiers

Handling missing data of using the XGBoost-based multiple imputation by chained equations regression method

1 Shangwan Coal Mine, Ejin Horo Banner, Ordos, China 2 CCTEG Xi’an Research Institute Co. Ltd., Xi’an, China This study introduces an XGBoost-MICE (Multiple Imputation by Chained Equations) method for ...
IEEE

The Inverse Scattering of Second-Order Nonlinear Media Based on Distorted Born Iterative Method

Abstract: Nonlinear media are the building blocks for nonlinear optical devices. The parameter retrieval of nonlinear media is an important problem for nonlinear optics. However, the maturity and ...
Frontiers

Numerical optimization of large-scale monotone equations using the free-derivative spectral conjugate gradient method

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...
IEEE

Comparative Study of Numerical Solutions to non-Linear Equations Using Regula-Falsi and Newton-Raphson Method

Abstract: This study aimed at comparing the rate of convergence and performance of Newton-Raphson and Regula-Falsi method for solving the nonlinear equations. To solve nonlinear equations, two ...
Scientific Research Publishing

AI-Enhanced Performance Evaluation of Python, MATLAB, and Scilab for Solving Nonlinear Systems of Equations: A Comparative Study Using the Broyden Method ()

Department of Computer Science, Regentropfen College of Applied Sciences, Bolgatanga, Ghana. In the realm of computational mathematics and scientific computing, the choice of software can profoundly ...
Scientific Research Publishing

A Nonstationary Halley’s Iteration Method by Using Divided Differences Formula ()

This paper presents a new nonstationary iterative method for solving non linear algebraic equations that does not require the use of any derivative. The study uses only the Newton’s divided ...
C&EN

Nonlinear Curve Fitting Using Spreadsheets

The use of spreadsheets in chemistry is common, mainly in analytical and physical chemistry, where they are used to calculate systems of linear equations, nonlinear equations using the iterative ...