Numerical methods for nonlinear two-parameter eigenvalue problems

作者：Plestenjak Bor^*

来源：BIT Numerical Mathematics, 2016, 56(1): 241-262.

DOI：10.1007/s10543-015-0566-9

• Nonlinear two-parameter eigenvalue problem
• Nonlinear eigenvalue problem
• Inverse iteration
• Residual inverse iteration
• Successive linear approximation
• Jacobi-Davidson method
• Delay-differential equations

We introduce nonlinear two-parameter eigenvalue problems and generalize several numerical methods for nonlinear eigenvalue problems to nonlinear two-parameter eigenvalue problems. As a motivation we consider the computation of critical delays of delay-differential equations with multiple delays.

• 出版日期2016-3