在Transactions of the American Mathematical Society, SIAM Journal on Control and Optimization, Stochastic Processes and their Applications, Journal of Differential Equations 等杂志发表论文40余篇 ... then we ...

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 ...

At their core, all games are puzzles. From Tetris to the Uncharted series, the medium has constantly challenged players to find solutions to problems, whether that problem is fitting the right blocks ...