Related references
Note: Only part of the references are listed.Geomagnetic semblance and dipolar-multipolar transition in top-heavy double-diffusive geodynamo models
Theo Tassin et al.
GEOPHYSICAL JOURNAL INTERNATIONAL (2021)
SciPy 1.0: fundamental algorithms for scientific computing in Python
Pauli Virtanen et al.
NATURE METHODS (2020)
Dynamo-based limit to the extent of a stable layer atop Earth's core
Thomas Gastine et al.
GEOPHYSICAL JOURNAL INTERNATIONAL (2020)
Higher-order additive Runge-Kutta schemes for ordinary differential equations
Christopher A. Kennedy et al.
APPLIED NUMERICAL MATHEMATICS (2019)
pizza: an open-source pseudo-spectral code for spherical quasi-geostrophic convection
Thomas Gastine
GEOPHYSICAL JOURNAL INTERNATIONAL (2019)
Force balance in numerical geodynamo simulations: a systematic study
T. Schwaiger et al.
GEOPHYSICAL JOURNAL INTERNATIONAL (2019)
Approaching Earth's core conditions in high-resolution geodynamo simulations
Julien Aubert
GEOPHYSICAL JOURNAL INTERNATIONAL (2019)
Heat transfer and flow regimes in quasi-static magnetoconvection with a vertical magnetic field
Ming Yan et al.
JOURNAL OF FLUID MECHANICS (2019)
Evaluation of Implicit-Explicit Additive Runge-Kutta Integrators for the HOMME-NH Dynamical Core
Christopher J. Vogl et al.
JOURNAL OF ADVANCES IN MODELING EARTH SYSTEMS (2019)
Scale separated low viscosity dynamos and dissipation within the Earth's core
Andrey Sheyko et al.
SCIENTIFIC REPORTS (2018)
Implicit-explicit (IMEX) Runge-Kutta methods for non-hydrostatic atmospheric models
David J. Gardner et al.
GEOSCIENTIFIC MODEL DEVELOPMENT (2018)
Turbulent geodynamo simulations: a leap towards Earth's core
N. Schaeffer et al.
GEOPHYSICAL JOURNAL INTERNATIONAL (2017)
A UNIFIED IMEX RUNGE-KUTTA APPROACH FOR HYPERBOLIC SYSTEMS WITH MULTISCALE RELAXATION
Sebastiano Boscarino et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2017)
Highly stable implicit-explicit Runge-Kutta methods
Giuseppe Izzo et al.
APPLIED NUMERICAL MATHEMATICS (2017)
A computationally efficient spectral method for modeling core dynamics
P. Marti et al.
GEOCHEMISTRY GEOPHYSICS GEOSYSTEMS (2016)
Performance benchmarks for a next generation numerical dynamo model
Hiroaki Matsui et al.
GEOCHEMISTRY GEOPHYSICS GEOSYSTEMS (2016)
HIGH ORDER IMPLICIT-EXPLICIT GENERAL LINEAR METHODS WITH OPTIMIZED STABILITY REGIONS
Hong Zhang et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2016)
Low-storage implicit/explicit Runge-Kutta schemes for the simulation of stiff high-dimensional ODE systems
Daniele Cavaglieri et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2015)
Full sphere hydrodynamic and dynamo benchmarks
P. Marti et al.
GEOPHYSICAL JOURNAL INTERNATIONAL (2014)
The compressional beta effect: A source of zonal winds in planets?
Jan Verhoeven et al.
ICARUS (2014)
Exponential versus IMEX high-order time integrators for thermal convection in rotating spherical shells
Ferran Garcia et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2014)
Efficient spherical harmonic transforms aimed at pseudospectral numerical simulations
Nathanael Schaeffer
GEOCHEMISTRY GEOPHYSICS GEOSYSTEMS (2013)
IMPLICIT-EXPLICIT RUNGE-KUTTA SCHEMES FOR HYPERBOLIC SYSTEMS AND KINETIC EQUATIONS IN THE DIFFUSION LIMIT
S. Boscarino et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2013)
IMPLICIT-EXPLICIT FORMULATIONS OF A THREE-DIMENSIONAL NONHYDROSTATIC UNIFIED MODEL OF THE ATMOSPHERE (NUMA)
F. X. Giraldo et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2013)
High accuracy mantle convection simulation through modern numerical methods
Martin Kronbichler et al.
GEOPHYSICAL JOURNAL INTERNATIONAL (2012)
Heat transfer by rapidly rotating Rayleigh-Benard convection
E. M. King et al.
JOURNAL OF FLUID MECHANICS (2012)
Parallel distributed computing using Python
Lisandro D. Dalcin et al.
ADVANCES IN WATER RESOURCES (2011)
Fluidity: A fully unstructured anisotropic adaptive mesh computational modeling framework for geodynamics
D. Rhodri Davies et al.
GEOCHEMISTRY GEOPHYSICS GEOSYSTEMS (2011)
A generic framework for time-stepping partial differential equations (PDEs): general linear methods, object-oriented implementation and application to fluid problems
Peter E. J. Vos et al.
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS (2011)
Linearly implicit methods for nonlinear PDEs with linear dispersion and dissipation
Ian Grooms et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2011)
A comparison of high-order time integrators for thermal convection in rotating spherical shells
F. Garcia et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2010)
Efficient multi-dimensional solution of PDEs using Chebyshev spectral methods
Keith Julien et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2009)
Comparison of Turbulent Thermal Convection between Conditions of Constant Temperature and Constant Flux
Hans Johnston et al.
PHYSICAL REVIEW LETTERS (2009)
ON A CLASS OF UNIFORMLY ACCURATE IMEX RUNGE-KUTTA SCHEMES AND APPLICATIONS TO HYPERBOLIC SYSTEMS WITH RELAXATION
Sebastiano Boscarino et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2009)
An efficient spectral method for the simulation of dynamos in Cartesian geometry and its implementation on massively parallel computers
Stephan Stellmach et al.
GEOCHEMISTRY GEOPHYSICS GEOSYSTEMS (2008)
A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases
F. X. Giraldo et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2008)
Thermal core-mantle interaction: Exploring regimes for 'locked' dynamo action
Ashley P. Willis et al.
PHYSICS OF THE EARTH AND PLANETARY INTERIORS (2007)
An implementation of the exponential time differencing scheme to the magnetohydrodynamic equations in a spherical shell
Philip W. Livermore
JOURNAL OF COMPUTATIONAL PHYSICS (2007)
Error analysis of IMEX Runge-Kutta methods derived from differential-algebraic systems
Sebastiano Boscarino
SIAM JOURNAL ON NUMERICAL ANALYSIS (2007)
Some new additive Runge-Kutta methods and their applications
HY Liu et al.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2006)
SLEPc: A scalable and flexible toolkit for the solution of eigenvalue problems
V Hernandez et al.
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE (2005)
A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers
A Fournier et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2005)
The design and implementation of FFTW3
M Frigo et al.
PROCEEDINGS OF THE IEEE (2005)
Additive Runge-Kutta schemes for convection-diffusion-reaction equations
CA Kennedy et al.
APPLIED NUMERICAL MATHEMATICS (2003)
Low-Prandtl-number convection in a rotating cylindrical annulus
E Plaut et al.
JOURNAL OF FLUID MECHANICS (2002)
Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations
MP Calvo et al.
APPLIED NUMERICAL MATHEMATICS (2001)
Share Paper
