4 problems

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Conjecture on higher-order time integrators for large auxiliary-parameter perturbations
Consider pseudo-time continuation methods with a predictor step based on a time integration method, and let the auxiliary parameter perturbation denote the change in the auxiliary…
Conjectureopencontinuation-methods numerical-analysis time-integrationarXiv posted 2 days ago
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Conjecture on the methodology for strong solutions of partial differential equations
The paper considers the heat equation as an example of a partial differential equation and distinguishes smooth, strongly solvable problems from problems with weak solutions and lo…
Conjectureopennumerical-analysis partial-differential-equations time-integrationarXiv posted 2 days ago
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Convergence conjecture for the k-dependent orders of the multiderivative IMEX method
The method has correction levels indexed by $k$ , and let the $k$ -dependent orders refer to the orders associated with these correction levels as described by the results in Lemma.…
Conjectureopennumerical-analysis time-integrationarXiv posted 2 days ago
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Picard iteration order conjecture for the semi-implicit space-time discontinuous Galerkin method
The algorithm uses $N_{Pic}$ Picard iterations, typically with $N_{Pic}\in\{p_{\gamma}+1,p_{\gamma}+2\}$ , where $p_{\gamma}$ is the polynomial degree in time; for ordinary differen…
Conjectureopencompressible-navier-stokes discontinuous-galerkin time-integrationarXiv posted 2 days ago

4 problems

Conjecture on higher-order time integrators for large auxiliary-parameter perturbations

Conjecture on the methodology for strong solutions of partial differential equations

Convergence conjecture for the k-dependent orders of the multiderivative IMEX method

Picard iteration order conjecture for the semi-implicit space-time discontinuous Galerkin method