This project is a replication of ''Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations'' by M.

MASA (Manufactured Analytical Solution Abstraction) is a library written in C++ (with C, python and Fortran90 interfaces) which provides a suite of manufactured solutions for the software verification ...

Abstract: Model predictive controllers use dynamics models to solve constrained optimal control problems. However, computational requirements for real-time control have limited their use to systems ...

Abstract: For the flexible riser systems modeled with partial differential equations (PDEs), this article explores the boundary control problem in depth for the first time using a dynamic ...

Compartment models have been proposed in the 1920s as a model for the spread of an infectious disease in a society, in a famous article by Kermack and ...

Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...

Yu Deng of the University of Chicago links Newtonian mechanics and the Boltzmann equation, advancing Hilbert’s Sixth Problem ...

Students can plan their studies for board exam preparation with the official CBSE Class 12 Applied Maths syllabus (2026-27).

What began with a focus on weather forecasting has evolved toward addressing errors in scientific modeling. In the collaborative environment of the Penn State Institute for Computational and Data ...

Contributed by J.M. Kosterlitz; received July 1, 2022; accepted October 31, 2022; reviewed by Tapio Ala-Nissila, Ken Elder, and Martin Grant. This paper extends our earlier work where a potential ...

The Long Pour: How US Tariffs Drained Scotch Whisky's Most Valuable Market — and What Comes Next For American whisky drinkers ...