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Andrew Winters is a Senior Associate Professor at Linköping University, specializing in simulation problems within science and engineering. His research interests encompass natural events, the evolution of Earth's climate, and non-linear processes. Winters focuses on mathematically modeling time-dependent partial differential equations (PDEs), particularly in conservative systems. His work involves developing analytical solutions to non-linear conservation laws, which exhibit phenomena such as discontinuities and turbulence across varying scales. Due to the multi-scale nature of these problems, Winters' research also emphasizes the significance of numerical simulations for real-world applications in modern industries. A key aspect of his work is the design and analysis of numerical schemes to approximate solutions of hyperbolic PDEs, such as the shallow water and compressible Euler equations, as well as ideal magnetohydrodynamic equations. He has contributed significantly to the advancement of high-order nodal discontinuous Galerkin (DG) numerical methods for both linear and non-linear PDEs. His expertise extends to the development of high-performance computing (HPC) implementations of these frameworks. Winters is one of the lead developers of the FLUXO framework, which facilitates the numerical simulation of linear and non-linear advection-diffusion equations. Additionally, he has created various educational resources, including introductory materials on modern Fortran programming aimed at research scientists and students, enhancing their computational skills in scientific computing.
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