5 papers
On higher order passivity preserving schemes for nonlinear Maxwell's equations
Herbert Egger, Vsevolod Shashkov
We present two strategies for designing passivity preserving higher order discretization methods for Maxwell's equations in nonlinear Kerr-type media. Both approaches are based on…
MONA -- A magnetic oriented nodal analysis for electric circuits
Idoia Cortes Garcia, Herbert Egger, Vsevolod Shashkov
The modified nodal analysis (MNA) is probably the most widely used formulation for the modeling and simulation of electric circuits. Its conventional form uses electric node potent…
A fast and oblivious matrix compression algorithm for Volterra integral operators
Jürgen Dölz, Herbert Egger, Vsevolod Shashkov
The numerical solution of dynamical systems with memory requires the efficient evaluation of Volterra integral operators in an evolutionary manner. After appropriate discretisation…
A convolution quadrature method for Maxwell's equations in dispersive media
Jürgen Dölz, Herbert Egger, Vsevolod Shashkov
We study the systematic numerical approximation of Maxwell's equations in dispersive media. Two discretization strategies are considered, one based on a traditional leapfrog time i…
On energy preserving high-order discretizations for nonlinear acoustics
Herbert Egger, Vsevolod Shashkov
This paper addresses the numerical solution of the Westervelt equation, which arises as one of the model equations in nonlinear acoustics. The problem is rewritten in a canonical f…