This textbook is intended to introduce advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of ...

The course gives insight into theory and algorithms for fundamental mathematical problems associated with systems of equations, optimization, and approximation of functions. There are many ...

Collection of methods for numerical analysis and scientific computing, including numerical root-finders, numerical integration, linear algebra, and data visualization. Created for APPM4600 at CU ...

The course of Numerical Analysis should teach both the mathematical theory of numerical analysis and the craft of implementing numerical algorithms. Unfortunately, usually, only the mathematical ...

Thermal shock is one of the main causes for the fracture of ceramic materials due to their inherent brittleness. Aiming to explore the mechanism of thermal shock cracking behavior of ceramics under ...

Abstract: Artificial intelligence (AI) has revolutionized numerous industries by providing intelligent solutions to complex problems. Numerical analysis plays a pivotal role in enhancing the ...

Structure-preserving variational methods for nonlinear partial differential equations with an underlying gradient flow structure Various well-known non-linear evolution equations allow for a gradient ...

The research group considers the design, analysis, and implementation of novel numerical methods for partial differential equations of interest in science and engineering. Our goal is to better ...