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

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

Abstract: Analytically solving complex or large-scale differential equations is often difficult or even impossible, making numerical integration methods indispensable. However, as all numerical ...

MOLE is a high-quality (C++ & MATLAB/Octave) library that implements high-order mimetic operators to solve partial differential equations. It provides discrete analogs of the most common vector ...

Partial differential equations (PDEs) are workhorses of science and engineering. They describe a vast range of phenomena, from flow around a ship’s hull, to acoustics in a concert hall, to heat ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

This paper presents In-Context Operator Networks (ICON), a neural network approach that can learn new operators from prompted data during the inference stage without requiring any weight updates.

Abstract: The mathematical model describing transients in natural gas pipelines constitutes a non-homogeneous system of non-linear hyperbolic conservation laws. The energy equation is coupled to ...

Mathematicians and computer scientists answered major questions in topology, set theory and even physics, even as computers continued to grow more capable. Mathematicians and computer scientists had ...