We carry out convergence and error analysis of the scalar auxiliary variable (SAV) methods for L² and H⁻¹ gradient flows with a typical form of free energy. We ...
Backward error analysis has become an important tool for understanding the long time behavior of numerical integration methods. This is true in particular for the ...
The field of optimal control in partial differential equations (PDEs) focuses on determining the best possible control strategies to influence systems described by PDEs and to achieve specific ...