The review discusses the optical aspects of QPAT, including mathematical models for light propagation and interaction with biological tissues. The authors outline two approaches to estimating chromophore concentrations from absorbed optical energy density data, highlighting the challenges associated with practical implementation, such ...
A team of researchers from Korea investigated the dynamics of the p-Laplacian AC equation, finding that solutions maintain three criteria: phase separation, boundedness, and energy decay properties. They also identified an advantage of p-AC equation over classical Laplacian in adjusting interface sharpness.
Researchers from Russia and Italy have created a more accurate method to solve Navier-Stokes equations for incompressible plane motion. The new scheme allows for efficient numerical solutions and has been verified through computing experiments, outperforming existing methods in terms of precision and stability.
Steven J. Ruuth, a professor at Simon Fraser University, has made significant contributions to the understanding of numerical solutions for ordinary and partial differential equations. The Germund Dahlquist Prize recognizes his original work on implicit-explicit methods and strong stability of numerical schemes.
Colin B. Macdonald received the 2010 Richard C. DiPrima Prize for his work on the Closest Point Method, advancing biology, materials science, and computer graphics applications.
Researchers have developed a new approach to solve systems of ordinary differential equations by separating time steps for slowly and rapidly varying components. This method leverages multirate techniques to improve computational efficiency.
Robert McLachlan, a Professor of Applied Mathematics at Massey University in New Zealand, received the Germund Dahlquist Prize for his original contributions to geometric integration. His work has applications in physics, computer science, and engineering, and he has used geometric integration methods to study complex systems.