Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods

作者：Alonso Mallo I^*; Cano B; Reguera N

来源：Applied Numerical Mathematics, 2017, 118: 64-74.

DOI：10.1016/j.apnum.2017.02.010

• Order reduction
• Lawson methods
• C-o-semigroups
• Exponential methods

In this paper, a thorough analysis is given for the order which is observed when integrating evolutionary linear partial differential equations with Lawson methods. The analysis is performed under the general framework of C-o-semigroups in Banach spaces and hence it can be applied to the numerical time integration of many initial boundary value problems which are described by linear partial differential equations. Conditions of regularity and annihilation at the boundary of these problems are then stated to justify the precise order which is observed, including fractional order of convergence.

• 出版日期2017-8