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Semiclassical Asymptotics of the Spectrum of the Hydrogen Atom in an Electromagnetic Field Near the Lower Boundaries of Spectral Clusters
We study the Zeeman–Stark effect problem in the hydrogen atom located in an electromagnetic field by using irreducible representations of the...
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A Low Mach Number Two-Speed Relaxation Scheme for Ideal MHD Equations
In this workBirke, Claudius weKlingenberg, Christian apply the two-speed relaxation technique to a relaxation system for the compressible ideal...
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Gravitational Self-force in the Schwarzschild Spacetime
Gravitational self-force techniques will be shortly reviewed along the lines of the two lectures presented by D. Bini at the 2019 edition of the...
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Geometric Integrators and Computing Ergodic Limits
For many applications, it is interesting to compute the mean of a given function with respect to the invariant law of the diffusion, i.e. the ergodic...
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Explicit time discretization
In this chapter, we consider the same space semi-discrete problem as in the previous chapter, but we now discretize it in time using an explicit...
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Effect of Transport Noise on Kelvin–Helmholtz Instability
The effect of transport noise on a 2D fluid may depend on the space-scale of the noise. We investigate numerically the dissipation properties of very...
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Adjoint-based exact Hessian computation
We consider a scalar function depending on a numerical solution of an initial value problem, and its second-derivative (Hessian) matrix for the...
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Comparison of Upwind and Symmetric WENO Schemes in Large Eddy Simulation of Basic Turbulent Flows
AbstractThe properties of modern WENO schemes are examined as applied to large eddy simulation (LES). The WENO-ZM5 scheme with modified smoothness...
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A Particle Model to Reproduce Collective Migration and Aggregation of Cells with Different Phenotypes
We here propose a theoretical framework where aggregates of cells are described as systems of pointwise agents. Each element is then set to move...
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Liouvillian solutions for second order linear differential equations with polynomial coefficients
In this paper we present an algebraic study concerning the general second order linear differential equation with polynomial coefficients. By means...
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Semiclassical Asymptotics of the Spectrum of the Hydrogen Atom in an Electromagnetic Field Near the Upper Boundaries of Spectral Clusters
We study the Zeeman–Stark effect in the hydrogen atom located in an electromagnetic field by using irreducible representations of an algebra with the...
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Adaptive Integration of Nonlinear Evolution Equations on Tensor Manifolds
We develop new adaptive algorithms for temporal integration of nonlinear evolution equations on tensor manifolds. These algorithms, which we call...
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Electrostatic Partners and Zeros of Orthogonal and Multiple Orthogonal Polynomials
For a given polynomial P with simple zeros, and a given semiclassical weight w , we present a construction that yields a linear second-order...
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Relations Between Second-Order Fuchsian Equations and First-Order Fuchsian Systems
Each component of any solution of a Fuchsian differential system satisfies a Fuchsian differential equation. The set of Fuchsian systems is fibered...
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On the properties of hyperelliptic functions and isometries for Fuchsian groups isomorphism in \({\mathbb {D}}^2\) and \({\mathbb {H}}^2\)
This paper presents the conditions under which a coded digital communication system’s performance may be improved using better signal sets design...
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Equal-order finite element approximation for mantle-melt transport
Mantle convection and melt migration are important processes for understanding Earth’s dynamics and how they relate to observations at the surface....
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Analytic Integration Methods in Quantum Field Theory: An Introduction
A survey is given on the present status of analytic calculation methods and the mathematical structures of zero- and single scale Feynman amplitudes...
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A Lotka–Volterra-Type Model Analyzed Through Different Techniques
We consider a modified Lotka–Volterra model applied to the predator-prey system that can also be applied to other areas, for instance, the bank...