Schrödinger equation

Efficient Computation of the Semiclassical Limit of the Schrödinger Equation

Giovanni Russo, Full Professor of Numerical Analysis, Department of Mathematics and Computer Science, University of Catania (UNICT)

Oct 26, 15:00 - 16:00

B1 R3426

Schrödinger equation numerical analysis Gaussian Wave Packet initial-value problem Hagedorn wave packets

This talk presents the Gaussian Wave Packet Transform, an efficient numerical framework for solving the semiclassical Schrödinger equation that reduces spatial and temporal stiffness, enables accurate simulation of highly oscillatory quantum dynamics in multiple dimensions, and supports efficient computation using Gaussian and Hagedorn wave packet representations.

Structure Preserving Methods for Schrodinger Type of Equations

Theodoros Katsaounis, Professor, Department of Mathematics and Applied Mathematics, University of Crete (UoC)

Mar 3, 14:30 - 15:30

B1 L3 R3119

Schrödinger equation cosmology waves

This talk presents a class of structure preserving methods for Schrodinger type of equations with applications in the generation of rogue waves and cosmology.

Dimension Liftings for Quantum Computation of Partial Differential Equations and Related Problems

Shi Jin, Director of Institute of Natural Sciences, Chair Professor of Mathematics, Shanghai Jiao Tong University

Mar 25, 16:00 - 17:00

B1 L3 R3119

PDEs Schrödinger equation quantum simulation quantum computing

This lecture presents a systematic framework for developing quantum simulation algorithms for general differential equations, using dimension lifting to transform nonlinear and time-dependent problems into forms solvable by simulating the Schrödinger equation.