Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

Refine your results

Description:: The solutions to nonlinear wave equations and diffusion equations often exhibit complicated behavior but the solution is nevertheless quite smooth, which makes high order methods …
Year:: 2025
Contributor:: Wang, Mingyu (creator); Ainsworth, Mark (Advisor); Shu, Chi-Wang (Reader); Kirby, Robert (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Scientific Computation; High performance computing; Finite Element Method (FEM)
Collection:: Applied Mathematics; Theses and Dissertations

Full Record

Description:: Fluids play a key role in the mechanics of cells and the soft-matter structures composing them; from the movement of molecules such as amino acids …
Year:: 2018
Contributor:: Bowman, Clark Michael Riordan (creator); Matzavinos, Anastasios (Advisor); Stein, Derek (Reader); Chaplain, Mark (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: High performance computing; Computational fluid dynamics; Nanofluids; Soft Matter; Computational biology; Uncertainty--Mathematical models
Collection:: Applied Mathematics; Theses and Dissertations

Full Record

Description:: Many scientific simulations rely on the solution of very large linear systems of equations, and multigrid and domain decomposition methods are widely used solvers. It …
Year:: 2017
Contributor:: Glusa, Christian Alexander (creator); Ainsworth, Mark (Advisor); Karniadakis, George (Reader); Guzman, Johnny (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Numerical Anlaysis; Scientific Computation; Fault-tolerant computing; Multigrid methods (Numerical analysis); Domain Decomposition methods; Fractional Laplacian; Non-Local Equations; Iterative methods (Mathematics); High performance computing
Collection:: Applied Mathematics; Theses and Dissertations

Full Record

Description:: This dissertation is composed around the subject of multiscale modeling of soft matter and biophysical systems with applications using large-scale computations. Specifically, it is expanded …
Year:: 2017
Contributor:: Tang, Yu-Hang (creator); Karniadakis, George (Advisor); Maxey, Martin (Reader); Baker, Nathan (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Machine Learning; Polymers; Biophysics; Scientific Computation; High performance computing; Polymeric drug delivery systems; Soft Matter; Molecular dynamics--Computer simulation; Graphics Processing Units (GPU); Force Field; Computer simulation; Multiscale modeling; Parallel programming
Collection:: Applied Mathematics; Theses and Dissertations

Full Record