Back to Numerical Computation
Session 14
Numerical Computation

Advanced Topics and Emerging Computational Methods

3.5 hours
Duration
8
Materials
6
Objectives
Session Overview

Cutting-edge topics in numerical computation including quantum algorithms for linear algebra, tensor methods, randomized algorithms, and future directions in computational mathematics.

Learning Objectives
By the end of this session, you should be able to:
  • Understand quantum algorithms for linear algebraic problems
  • Apply tensor decomposition methods to high-dimensional problems
  • Implement randomized algorithms for matrix computations
  • Use sketching and sampling techniques for large-scale numerical problems
  • Explore emerging paradigms in computational mathematics
  • Analyze the impact of new computing architectures on numerical methods
Course Materials
Download materials for offline study and reference
Emerging Computational Methods Survey (40 pages)
Available material
Quantum Algorithm Theory for Linear Algebra
Available material
Tensor Method Applications and Implementations
Available material
Randomized Algorithm Development
Available material
Sketching and Sampling Techniques
Available material
Future Computing Architecture Analysis
Available material
Research Paper Collection and Analysis
Available material
Innovation Project in Computational Methods
Available material