Abstract
Abstract
Abstract
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
APPENDIX A. NOTATION 124<br />
˜B Generalized shift-invert transformation<br />
c Real number<br />
C Constant<br />
C ∗ Constant the depends on time integration<br />
Ĉ Cayley transformation<br />
˜C Generalized Cayley transformation<br />
d Number of start-up GMRES iterations needed before asymptotic convergence<br />
D Invertible matrix in R M×M<br />
D ∗ Constant<br />
E Embedding from R M to R M+1<br />
Em<br />
E1<br />
E2<br />
Subset of [0, 1]<br />
Subset of [0, 1]<br />
Subset of [0, 1]<br />
Ē Parallel efficiency<br />
f(x, k, t) Wigner distribution<br />
f Discretized Wigner distribution<br />
f ∗ Steady-state discretized Wigner distribution<br />
∆ f Perturbation in discretized Wigner distribution<br />
f0(x, k) Equilibrium Wigner distribution<br />
F (z) Nonlinear equation from R M → R M<br />
F ′ (z) Jacobian matrix of F<br />
F 1 (x, k) Term used in fixed point theory<br />
F 2 (x, k) Term used in fixed point theory