Abstract: A nonlinear eigenvalue problem is solved analytically to obtain the shock-like traveling waves of Fisher's nonlinear diffusion equation, with which he described the wave of advance of ...

One-dimensional - Rectangle rule. - Trapezoidal rule. - Simpson's rule. - Gauss-Hermite (TODO) - Gauss-Laguerre (TODO) N-dimensional - Monte Carlo (TODO) - Sparse ...

The SUNDIALS suite consists of the following packages for ordinary differential equation (ODE) systems, differential-algebraic equation (DAE) systems, and nonlinear algebraic systems: Warning to users ...

It provides a comprehensive treatment of linear and nonlinear Fredholm and Volterra integral equations of the first and second kinds. The materials are presented in an accessible and straightforward ...

[1] Modelling of photovoltaic cells using Boole's rule-based multi-objective genetic algorithm implemented in Indoor hardware setup ...

The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically ...

This project is supported by the Doctoral Scientific Research Foundation of Shijiazhuang University (No. 11BJ009). Conflicts of Interest The authors declare no ...

What amazed me most was learning that climate science required the very skill set I was already developing, from decoding the equations of nonlinear ... For example, did you know that the ...

Physicists at Harvard John A. Paulson School of Engineering and Applied Sciences (SEAS) have created a compact laser that ...

India turns to AI for weather forecasting, aiming to improve accuracy and timeliness in predicting extreme weather events.