Newton's method and Morse index for semilinear elliptic PDES

Mathematics

• Arbitrary 20%
• Bifurcation 60%
• Characterization 20%
• Critical point 69%
• Dirichlet Boundary Conditions 34%
• Eigenfunctions 34%
• Elliptic PDE 47%
• Family 18%
• Galerkin 37%
• Gradient 30%
• Morse Index 100%
• Newton Methods 75%
• Numerical Algorithms 38%
• Numerical Approximation 37%
• Semilinear 73%
• Symmetry 26%
• Trivial 31%
• Zero 20%

Engineering & Materials Science

• Boundary conditions 59%
• Eigenvalues and eigenfunctions 82%
• Newton-Raphson method 86%