Search
Search Results
-
Classification of Finite Abelian Groups
In this chapter, we study the finite abelian groups. We show that any finite abelian group is isomorphic to the product of additive groups...
-
Subgroups
The present chapter focuses on subgroups, which are subsets of a group \(G\)...
-
Groups
Groups play an important role in many branches of mathematics and physics. This chapter contains the basic definitions and background results...
-
Group Theory and Sage
At present, almost no mathematician works without using software. Software such as MATLAB and MATHEMATICA are among the best tools for engineers and...
-
Exploring University Mathematics with Python
This book provides a unique tour of university mathematics with the help of Python. Written in the spirit of mathematical exploration and...
-
Potential Functions of Random Walks in ℤ with Infinite Variance Estimates and Applications
This book studies the potential functions of one-dimensional recurrent random walks on the lattice of integers with step distribution of infinite...
-
Einführung in Optimierungsmodelle Mit Beispielen und Real-World-Anwendungen in Python
Dieses Buch könnte interessant für Sie sein, falls Sie über eine solide mathematische Ausbildung verfügen und nun Anwendungsprobleme mit Hilfe von...
-
hp-Finite Elements with Decoupled Constraints for Elastoplasticity
The paper considers an hp-finite element discretization for a model problem of elastoplasticity with linear kinematic hardening. The use of...
-
Reduced Order Modeling for Spectral Element Methods: Current Developments in Nektar++ and Further Perspectives
In this paper, we present recent efforts to develop reduced order modeling (ROM) capabilities for spectral element methods (SEM). Namely, we detail...
-
Comparative Study on a Variety of Structure-Preserving High Order Spatial Discretizations with the Entropy Split Methods for MHD
Sjögreen and Yee (J Sci Comput 81:1359–1385, 2019; Commun Appl Math Comput, 2021) proved that the high order entropy split methods based on Harten’s...
-
Broadband Recursive Skeletonization
The dense linear systems arising from the discretization of integral equations have in last few decades been rendered tractable through the...
-
High Order Compact Central Spatial Discretization Under the Framework of Entropy Split Methods
Yee and Sjögreen (Comput Fluid 37:593–619, 2008) did a study on the performance between high order compact (Padé) spatial central finite...
-
Taming the CFL Number for Discontinuous Galerkin Methods by Local Exponentiation
The matrix valued exponential function can be used for time-step** numerically stiff discretization, such as the discontinuous Galerkin method but...
-
Shape Optimization with Nonlinear Conjugate Gradient Methods
In this chapter, we investigate recently proposed nonlinear conjugate gradient (NCG) methods for shape optimization problems. We briefly introduce...
-
An Energy-Preserving High Order Method for Liouville’s Equation of Geometrical Optics
Liouville’s equation describes light propagation through an optical system. It governs the evolution of an energy distribution on phase space. This...
-
Mimetic Relaxation Runge Kutta Methods
Linear hyperbolic partial differential equations (PDEs) are known to conserve energy in the absence of a source term. For example, the solution of...
-
On Higher Order Passivity Preserving Schemes for Nonlinear Maxwell’s Equations
We present two strategies for designing passivity preserving higher order discretization methods for Maxwell’s equations in nonlinear Kerr-type...
-
Interface Discontinuities in Spectral-Element Simulations with Adaptive Mesh Refinement
We investigate the discontinuities arising at non-conforming (or non-conformal) interfaces in spectral element method (SEM) simulations. The derivate...
-
Split Form ALE DG Methods for the Euler Equations: Entropy Stability and Kinetic Energy Dissipation
The construction of discontinuous Galerkin (DG) methods for the compressible Euler equations includes the approximation of non-linear flux terms in...
-
Flexible Weights for High Order Face Based Finite Element Interpolation
We are interested in the high order interpolation of physical fields in the space of Nédélec first family face based finite elements for simplicial...