https://www.pistack.xyz/tags/numerical-methods/ Recent content in Numerical-Methods on Pi Stack Hugo en-us Mon, 22 Jun 2026 00:00:00 +0000 https://www.pistack.xyz/posts/2026-06-22-sparse-linear-solvers-suitesparse-mumps-petsc-hypre-superlu/ Mon, 22 Jun 2026 00:00:00 +0000 https://www.pistack.xyz/posts/2026-06-22-sparse-linear-solvers-suitesparse-mumps-petsc-hypre-superlu/ <h2 id="introduction">Introduction</h2> <p>Solving large sparse linear systems of equations is at the heart of virtually every scientific simulation, from computational fluid dynamics and structural mechanics to circuit simulation and machine learning. Unlike dense matrices, sparse matrices contain mostly zero entries, making them amenable to specialized algorithms that exploit this structure for dramatic memory and runtime savings.</p>