The study of Lagrangian equations and gradient estimates occupies a critical niche at the intersection of partial differential equations, differential geometry, and variational calculus.

We present a geometric approach for formation control that explicitly decouples translation dynamics from the orientation and shape dynamics. The formation dynamics are modeled as controlled ...

In this article, the Sherman-Morrison-Woodbury (SMW) formula is applied to accelerate the direct solution of electromagnetic scattering problem for three-dimensional (3D) perfect electric conducting ...

The first-order partial differential matrices are only needed both in the governing equations and in the Neumann boundary condition. By introducing the mapping technique, a block of quadratic type is ...

With an emphasis on perspectives that are more fundamental and techniques more advanced than those given in most introductory mechanics textbooks, the book illuminates on notions where vectors are ...

Mathematics is the universal language of science while computer science is the study of the hardware and algorithms that are used in modern computer systems. Since many of the early pioneers of ...

Quantum tunneling can have a dramatic effect on chemical reaction rates. In nonadiabatic reactions such as electron transfers or spin crossovers, nuclear tunneling effects can be even stronger than ...

Research Article Mathematics Characteristic Coordinates for Hyperbolic Differential Equations in the Large T. Y. Thomas Authors Info & Affiliations August 15, 1947 33 (8) 242-246 ...