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Solving Ordinary Differential Equations II
Ernst Hairer,Gerhard Wanner +1 more
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The article was published on 2010-01-01 and is currently open access. It has received 3684 citations till now. The article focuses on the topics: Stochastic partial differential equation & Integrating factor.read more
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Modules for Experiments in Stellar Astrophysics (MESA)
Bill Paxton,Lars Bildsten,Aaron Dotter,Aaron Dotter,Falk Herwig,Pierre Lesaffre,Francis Timmes +6 more
TL;DR: Modules for Experiments in Stellar Astrophysics (MESA) as mentioned in this paper is a suite of open source, robust, efficient, thread-safe libraries for a wide range of applications in computational stellar astrophysics.
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The MATLAB ODE Suite
TL;DR: This paper describes mathematical and software developments for a suite of programs for solving ordinary differential equations in MATLAB.
Journal ArticleDOI
Modules for Experiments in Stellar Astrophysics (MESA): Planets, Oscillations, Rotation, and Massive Stars
Bill Paxton,Matteo Cantiello,Phil Arras,Lars Bildsten,Edward F. Brown,Aaron Dotter,Christopher R. Mankovich,Michael H. Montgomery,Dennis Stello,Francis Timmes,Richard H. D. Townsend +10 more
TL;DR: Modules for Experiments in Stellar Astrophysics (MESA) as discussed by the authors is an open source software package for modeling the evolution of stellar structures and composition. But it is not suitable for large-scale systems such as supernovae.
Journal ArticleDOI
Inverse problems: A Bayesian perspective
TL;DR: The Bayesian approach to regularization is reviewed, developing a function space viewpoint on the subject, which allows for a full characterization of all possible solutions, and their relative probabilities, whilst simultaneously forcing significant modelling issues to be addressed in a clear and precise fashion.
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A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations
TL;DR: In this paper, an Adams-type predictor-corrector method for the numerical solution of fractional differential equations is discussed, which may be used both for linear and nonlinear problems, and it may be extended tomulti-term equations (involving more than one differential operator) too.