偏微分方程数值方法的非线性等价性缺口
Gap in Nonlinear Equivalence for Numerical Methods for PDEs
摘要：
对于一类非线性发展偏微分方程，更一般地说，对于非线性半群及其逼近数值方法，给出了两个相当自然的稳定型收敛条件，一个是必要的，另一个是充分的.这两个稳定性条件之间的差距进行了分析，从而导致稳定性和收敛性之间的一般非线性等价。
英文摘要：
For a large class of nonlinear evolution PDEs, and more generally, of nonlinear semigroups, as well as their approximating numerical methods, two rather natural stability type convergence conditions are given, one being necessary, while the other is sufficient. The gap between these two stability conditions is analyzed, thus leading to a general nonlinear equivalence between stability and convergence.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
