| 书目名称 | Time-dependent Partial Differential Equations and Their Numerical Solution |
| 编辑 | Heinz-Otto Kreiss,Hedwig Ulmer Busenhart |
| 视频video | |
| 丛书名称 | Lectures in Mathematics. ETH Zürich |
| 图书封面 |  |
| 描述 | In these notes we study time-dependent partial differential equations and their numerical solution. The analytic and the numerical theory are developed in parallel. For example, we discuss well-posed linear and nonlinear problems, linear and nonlinear stability of difference approximations and error estimates. Special emphasis is given to boundary conditions and their discretization. We develop a rather general theory of admissible boundary conditions based on energy estimates or Laplace transform techniques. These results are fundamental for the mathematical and numerical treatment of large classes of applications like Newtonian and non-Newtonian flows, two-phase flows and geophysical problems. |
| 出版日期 | Book 2001 |
| 关键词 | Cauchy problem; PDE; boundary element method; convergence; differential equation; hyperbolic system; nonli |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-8229-3 |
| isbn_softcover | 978-3-7643-6125-9 |
| isbn_ebook | 978-3-0348-8229-3 |
| copyright | Springer Basel AG 2001 |
发表于 2025-3-21 16:40:10
