Path Constrained Unbalanced Optimal Transport
Explore path constrained unbalanced optimal transport with Nicolas Charon, delving into geometric statistics and shape analysis applications.
Time Integration of Tree Tensor Networks
Explore numerical methods for time-dependent quantum dynamics using tree tensor networks, focusing on efficient algorithms and error analysis for high-dimensional problems.
Optimization: The Philosophical Background of Artificial Intelligence
Explore optimization's role in AI, computational models, and its impact on modern science. Gain insights into efficient optimization schemes related to human activity.
Computational Quantum Mechanics in Phase Space - An Attempt to Break the Curse of Dimensionality
Explore computational quantum mechanics in phase space, focusing on breaking the curse of dimensionality through grid-based and particle-based methods for high-dimensional Wigner quantum dynamics simulations.
Learning Operators - Lecture 1
Explore learning operators in scientific machine learning, covering traditional methods, neural networks, and practical applications for mathematical problem-solving.
Learning Operators - Lecture 2
Explore advanced concepts in operator learning, focusing on mathematical techniques and applications in scientific machine learning.
An Introduction to Fusion Rings - Part I
Explore fusion rings in physics and mathematics, covering their structure, applications, and connections to particle models with topological interactions.
Lab Notebooks for Computational Mathematics, Sciences and Engineering
Explore lab notebooks' adaptation to computational research, with examples addressing challenges in transitioning from experimental to computational sciences.
Fixed Point Iteration Method for Finding Roots of Equations - Numerical Solutions
Master numerical solutions and fixed point iteration methods for finding roots of equations, with practical examples and step-by-step problem-solving techniques.
R-Adaptive Mesh Optimization to Enhance Finite Element Basis Compression
Explore advanced techniques for optimizing finite element mesh compression through dictionary-based schemes and r-adaptive mesh optimization to reduce memory usage while maintaining performance.
Hierarchical Matrices for 3D Helmholtz Problems in Multi-patch IgA-BEM Setting
Delve into advanced mathematical concepts of hierarchical matrices for 3D Helmholtz problems, exploring their application in multi-patch IgA-BEM frameworks through expert analysis and demonstrations.