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Time integration

Mixing Snapshots and Fast Time Integration of PDEs

Mixing Snapshots and Fast Time Integration of PDEs

... Proper orthogonal decomposition (POD) combined with projection of the governing equations onto a POD manifold has been seen to produce ROMs of both steady [1, 10] and evolution problems [3, 12] which allow to drastically ...

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An efficient algorithm based on splitting for the time integration of the Schrödinger equation

An efficient algorithm based on splitting for the time integration of the Schrödinger equation

... the time integration of the Schr¨ odinger equation with Hamiltonian operators that changes (slowly) with time, βτ will be typically relatively small, and some of the methods from the ta- ble will ...

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Efficient time integration methods for Gross Pitaevskii equations with rotation term

Efficient time integration methods for Gross Pitaevskii equations with rotation term

... Abstract. The objective of this work is the introduction and investigation of favourable time integration methods for the Gross–Pitaevskii equation with rotation term. Employing a reformulation in rotating ...

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Energy-entropy-momentum time integration methods for coupled smooth dissipative problems

Energy-entropy-momentum time integration methods for coupled smooth dissipative problems

... any integration method is unconditionally stable provided that the energy of the system at any time step is less or equal to the energy at its predecessor one for any time step ...energy-bounded ...

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Closed Newton-Cotes Trigonometrically-Fitted Formulae for Long-Time Integration of Orbital Problems

Closed Newton-Cotes Trigonometrically-Fitted Formulae for Long-Time Integration of Orbital Problems

... where v = w h. We note that the first equation is produced requiring the scheme (4) to be accurate for 1, x, while the second and the third equations are obtained requiring the algorithm (4) to be accurate for cos(±wx), ...

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Fast time integration of PDEs combining POD and Galerkin projection based on a limited set of mesh points

Fast time integration of PDEs combining POD and Galerkin projection based on a limited set of mesh points

... • Comparing with a second instrumental GS retaining more modes (old version, in, e.g., Rap´ un & V., JCP 229, 2010 ; Terragni et al., SIAM J. Sci. Comput. 33, 2011); essentially doubles the GS CPU time. • ...

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Coupling time-stepping numerical methods and standard aerodynamics codes for instability analysis of  flows in complex geometries

Coupling time-stepping numerical methods and standard aerodynamics codes for instability analysis of flows in complex geometries

... the time-stepping approach: if the time integrations are too large, the perturbation vanishes quickly due to its (physical) strong damping, while if the time integration is kept too small, ...

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Palindromic 3 stage splitting integrators, a roadmap

Palindromic 3 stage splitting integrators, a roadmap

... spectrally on a grid with 512 nodes (see [24] for implementation details). The values of h are from the sequence 0.0500, 0.0400, 0.0300, 0.0200, 0.0100, 0.0075, 0.0060. There are four panels. The two at the top ...

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Time exponential splitting technique for the Klein-Gordon equation with Hagstrom-Warburton high-order absorbing boundary conditions

Time exponential splitting technique for the Klein-Gordon equation with Hagstrom-Warburton high-order absorbing boundary conditions

... The space discretization is reached by means of finite differences on a uniform grid, with fourth order inside the computational domain. For the time discretization, we propose a fourth order exponential splitting ...

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IntegraDos: facilitating the adoption of the Internet of Things through the integration of technologies

IntegraDos: facilitating the adoption of the Internet of Things through the integration of technologies

... Apache HBase [155] is another open-source distributed database suitable for random and real-time read- /write large amounts of data. Apache HBase emerged from Google’s Bigtable, a distributed storage system for ...

204

Desarrollo de una aplicación web para la programación de laboratorios de biología portátiles

Desarrollo de una aplicación web para la programación de laboratorios de biología portátiles

... To authenticate in the platform, the tool mentioned in previous paragraphs PassportJS was used. With it, the user's credentials are collected and searched in the database. If there is a user that matches the given one, ...

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Metodología de Evaluación – Ismeri Europa

Metodología de Evaluación – Ismeri Europa

... Methodology to evaluate results of projects for integration into the production chain... The Rational of an Integration Policy.[r] ...

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A time to learn, a time to teach

A time to learn, a time to teach

... To conclude, in the first issue on Mind, Brain and Education devoted to the subject (volume 2, number 1) we finished our introduction by stating that “The concepts of time and timing —deeply controlled by the ...

7

Spectrographic phase retrieval algorithm for femtosecond and attosecond pulses with frequency gaps

Spectrographic phase retrieval algorithm for femtosecond and attosecond pulses with frequency gaps

... standard procedure for spectrographic techniques. The spectro- gram and both spectra were background corrected. A test pulse (signal pulse) with frequency gap was used for the numerical simulations. For the sake of ...

7

DiViS DVR(Integration)

DiViS DVR(Integration)

... Seleccione el disco duro (HDD) que usted desea usar de la lista de Discos Duros que se encuentra en la Tabla y digite en numero de Volúmenes para asignar el espacio de la Base de dato[r] ...

11

ON MODELLING OF ROOM ACOUSTICS BY A SOUND ENERGY TRANSITION APPROACH

ON MODELLING OF ROOM ACOUSTICS BY A SOUND ENERGY TRANSITION APPROACH

... A computer program, COLISEO, was written for the calculation of the steady-state sound pressure distribution and the room impulse response. This allowed the calculation of reverberation times and room sound quality ...

7

IN SITU ORBIT EXTRACTION FROM LIVE, HIGH PRECISION COLLISIONLESS SIMULATIONS OF SYSTEMS FORMED BY COLD COLLAPSE

IN SITU ORBIT EXTRACTION FROM LIVE, HIGH PRECISION COLLISIONLESS SIMULATIONS OF SYSTEMS FORMED BY COLD COLLAPSE

... tially spherical, collisionless systems using the gyrfalcon code of Dehnen (2000). The collapses produce very prolate spheroidal configurations. After the collapse, the systems are simulated for 85 and 170 half-mass ...

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Integration in Several Variables

Integration in Several Variables

... To compute a double integral over these elementary regions we have the following theorem: Theorem 2.10... (six posible iterated integrals).[r] ...

11

The integration of knowledge

The integration of knowledge

... In the development of the appropriate formal instruments to undertake this task, the following expository sequence has been adopted. First, we shall discuss the conditions of knowledge. Initially, this section gravitates ...

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The integration of knowledge

The integration of knowledge

... human mind. Major advances in the domain of the physical sciences have stemmed from the epistemological questioning of their basic concepts. Neither the work of Einstein nor the developments in quantum physics can be ...

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