3 papers
math.NA2025
Spacetime Wavelet Method for Linear Boundary-Value Problems in Sylvester Matrix Equation Form
Cody D. Cochran, Karel Matous
We present a high-order spacetime numerical method for discretizing and solving linear initial-boundary value problems using wavelet-based techniques with user-prescribed error est…
math.NA2025
Spacetime Wavelet Method for the Solution of Nonlinear Partial Differential Equations
Cody D. Cochran, Karel Matous
We propose a high-order spacetime wavelet method for the solution of nonlinear partial differential equations with a user-prescribed accuracy. The technique utilizes wavelet theory…
cs.DC2024
Adaptive and Parallel Multiscale Framework for Modeling Cohesive Failure in Engineering Scale Systems
Sion Kim, Ezra Kissel, Karel Matous
The high computational demands of multiscale modeling necessitate advanced parallel and adaptive strategies. To address this challenge, we introduce an adaptive method that utilize…