Spectral and Pseudospectral Methods for Solving Linear Partial Differential Equations in Complex Domains: High-Order Hybrid Integral Fourier Pseudospectral Collocation, Fourier-Continuation-Gram, and Fourier Extensions of Arbitrary Length Methods

Mathematics

1. Linear Partial Differential Equation 100%
2. PDE 75%
3. Mathematical Method 75%
4. Numerical Solution 50%
5. Exponential Convergence 25%
6. Boundary Condition 25%
7. Wide Variety 25%
8. Variable Coefficient 25%
9. Source Term 25%
10. Computational Domain 25%
11. System Matrix 25%
12. Running Time 25%
13. Convergence Rate 25%
14. Real Life 25%
15. Matrix 25%
16. Partial Differential Equations of Elliptic Type 25%
17. Partial Differential Equations of Hyperbolic Type 25%
18. Partial Differential Equations of Parabolic Type 25%
19. Solving Partial Differential Equation 25%
20. Algebraic System 25%
21. Optimal Control Problem 25%
22. Collocation Method 25%