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Computational Mathematics

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Computational Mathematics

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Research Frontiers in Rational Approximation and Krylov Subspace Methods

Construction of rational functions and Krylov methods for solving large-scale linear systems and eigenvalue problems.

Rational Krylov Methods for Non-Hermitian Spectral Problems
Hybrid Rational-Polynomial Approximations in Large-Scale Linear Systems
Adaptive Pole Selection in Rational Krylov Subspace Constructions
Rational Approximation at the Matrix Function Frontier
Krylov Subspaces and Optimal Rational Interpolation Architectures
Convergence Theory of Rational Krylov for Ill-Conditioned Problems
Data-Driven Pole Optimization in Rational Approximation Schemes
Rational Krylov Methods for Fractional Differential Operators
High-Dimensional Rational Approximation via Subspace Projection
Rational Functions and Krylov Dynamics in Nonlinear Inverse Problems

All Computational Mathematics PhD categories