تقرير
Error analysis of an implicit-explicit time discretization scheme for semilinear wave equations with application to multiscale problems
| العنوان: | Error analysis of an implicit-explicit time discretization scheme for semilinear wave equations with application to multiscale problems |
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| المؤلفون: | Eckhardt, Daniel, Hochbruck, Marlis, Verfürth, Barbara |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, 65J08, 65M60, 65M15, 65M12, 35L71 |
| الوصف: | We present an implicit-explicit (IMEX) scheme for semilinear wave equations with strong damping. By treating the nonlinear, nonstiff term explicitly and the linear, stiff part implicitly, we obtain a method which is not only unconditionally stable but also highly efficient. Our main results are error bounds of the full discretization in space and time for the IMEX scheme combined with a general abstract space discretization. As an application, we consider the heterogeneous multiscale method for wave equations with highly oscillating coefficients in space for which we show spatial and temporal convergence rates by using the abstract result. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.19889 |
| رقم الأكسشن: | edsarx.2406.19889 |
| قاعدة البيانات: | arXiv |
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