Computational Science Research Center

Computational Science Research Center

Applications of homogeneous maps to mathematical models arising from epidemiology and ecology

Date of the Event: February 7, 2025

TIME: 3:30 PM LOCATION: GMCS 314 SPEAKER: Dr. Feng-Bin Wang (fbwang0229@gmail.com), (fbwang@mail.cgu.edu.tw) , Division of Natural Science, Center for General Education, Chang Gung University, Taiwan. ABSTRACT: In this talk, we first introduce a mathematical model describing the mosquito growth incorporating metamorphic stages (including aquatic stage and adult stage), mating behavior and the spatial movement of adult mosquitoes in […]

2025 Spring 2025

How to Solve Partial Differential Equations with the MOLE

Date of the Event: January 31, 2025

TIME: 3:30 PM LOCATION: GMCS 314 SPEAKER: Jose Castillo, San Diego State University ABSTRACT: MOLE is an open-source library that implements high-order mimetic operators. It provides discrete analogs of the most common vector calculus operators: divergence, gradient, curl, and Laplacian. These operators act on functions discretized over staggered grids (uniform, nonuniform, and curvilinear), and they […]

2025 Spring 2025

Efficient numerical simulations for fluid dynamics across different scales

Date of the Event: December 6, 2024

TIME: 3:30 PM LOCATION: GMCS 314 SPEAKER: Valeria Barra, San Diego State University ABSTRACT: In this talk, we present different approaches and methodologies for the numerical solutions of Partial Differential Equations (PDEs) for applications arising mainly in Computational Fluid Dynamics (CFD) at different scales. Starting from problems emerging in the context of thin films and […]

2024 Fall 2024

Understanding and Designing Structure-Property Relationship in Materials from first principles

Date of the Event: November 22, 2024

TIME: 3:30 PM LOCATION: GMCS 314 SPEAKER: Santosh KC, San Diego State University ABSTRACT: Computational Materials Modeling and Simulation including Density Functional Theory (DFT) and Molecular Dynamics (MD) has emerged as an indispensable tool in computational materials science, enabling the design, prediction and overall understanding of material’s structure-properties at the atomic scale. This talk provides […]

2024 Fall 2024

Adaptive Mesh Refinement: Algorithms and Applications

Date of the Event: November 15, 2024

TIME: 3:30 PM LOCATION: GMCS 314 SPEAKER: Dr. Ann Almgren,Lawrence Berkeley National Laboratory ABSTRACT:  Adaptive mesh refinement (AMR) is a technique we use as a numerical microscope to zoom in on areas of interest in a computer simulation. With more resolution we get more accurate answers and can see in more detail what is happening […]

2024 Fall 2024

From Nonlinear Optics to Ultra-Cold Atomic Physics and Rogue Waves: Adventures in Applied and Computational Mathematics

Date of the Event: November 8, 2024

TIME: 3:30 PM LOCATION: GMCS 314 SPEAKER: Efstathios Charalampidis, Department of Mathematics and Statistics, CSRC ABSTRACT:  Complex systems are ubiquitous in nature and human-designed environments. The overarching goal of our research is to leverage advanced computational methods with fundamental theoretical analysis to model the nonlinear behavior of systems that are not otherwise amenable to integrable systems […]

2024 Fall 2024

Building an Ocean Model using Mimetic Operators, and other musings from a PhD in Computational Science

Date of the Event: November 1, 2024

TIME: 3:30 PM LOCATION: GMCS 314 SPEAKER: Jared Brzenski, San Diego State University ABSTRACT:  I will be presenting an implementation for solving Navier-Stokes equations using mimetic difference operators in building an ocean model.   Mimetic operators can be constructed to high orders of accuracy and maintain the physical properties of the problems under consideration.  I […]

2024 Fall 2024