作为先秦经典，《论语》虽经历代学人不断诠释，至今仍然存有若干疑难之处。报告针对有不同解释的两处——《季氏篇》“求，无乃尔是过与”，《卫灵公篇》“志士仁人，无求生以害仁，有杀身以成仁”，通过运用语法和训诂知识，结合文献语例，尝试给出 ...

Researchers from The University of New Mexico and Los Alamos National Laboratory have developed a novel computational framework that addresses a longstanding challenge in statistical physics.

Abstract: This paper investigates a distinct numerical algorithm for the solution of first and second orders initial value problems. The new method was developed using interpolation and collocation ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

Abstract: We present a series of hybrid predictor-based third derivative linear multistep algorithms for solving stiff initial value problems in ordinary differential equations. The third-order ...

For homogeneous linear first-order differential equations, it is shown that Picard’s method of successive approximations is effective to furnish a closed-form solution even if the coefficient is an ...