M
M. P. Calvo
Researcher at University of Valladolid
Publications - 40
Citations - 2476
M. P. Calvo is an academic researcher from University of Valladolid. The author has contributed to research in topics: Runge–Kutta methods & Numerical integration. The author has an hindex of 19, co-authored 40 publications receiving 2333 citations.
Papers
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Book
Numerical Hamiltonian Problems
TL;DR: Examples of Hamiltonian Systems, symplectic integration, and Numerical Methods: Checking preservation of area: Jacobians, and Necessity of the symplecticness conditions.
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The development of variable-step symplectic integrators with application to the two-body problem
TL;DR: The authors develop and test variable step symplectic Runge–Kutta–Nystrom algorithms for the integration of Hamiltonian systems of ordinary differential equations and suggest that, for symplectic formulae, moving from constant to variable stepsizes results in a marked decrease in efficiency.
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Linearly implicit Runge—Kutta methods for advection—reaction—diffusion equations
TL;DR: Two variable-step linearly implicit Runge–Kutta methods of orders 3 and 4 for the numerical integration of the semidiscrete equations arising after the spatial discretization of advection–reaction–diffusion equations are constructed.
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Numerical solution of isospectral flows
TL;DR: It is shown that standard Runge-Kutta schemes fail in recovering the main qualitative feature of these flows, that is isospectrality, since they cannot recover arbitrary cubic conservation laws.
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A class of explicit multistep exponential integrators for semilinear problems
M. P. Calvo,C. Palencia +1 more
TL;DR: It is shown that the k-step method achieves order k, for appropriate starting values, which can be computed by auxiliary routines or by one strategy proposed in the paper.