Titlebook: Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws; Lectures Presented a Rainer Ansorge,Hester Bijl,Thomas Sonar

缓和

1612-2909 ifferential equations. Focus was  laid.on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks presented at this workshop.  .978-3-642-43774-8978-3-642-33221-0Series ISSN 1612-2909 Series E-ISSN 1860-0824

kyphoplasty

兽群

Monotonicity Conditions for Multirate and Partitioned Explicit Runge-Kutta Schemes,se properties will be done within the framework of partitioned Runge-Kutta methods. It will also be seen that the incompatibility of consistency and mass-conservation holds for ‘genuine’ multirate schemes, but not for general partitioned methods.

凹处

On the Construction of Kernel-Based Adaptive Particle Methods in Numerical Flow Simulation,polyharmonic spline kernel. Then we discuss important aspects concerning the numerical stability and approximation behaviour of polyharmonic splines. Moreover, we propose customized coarsening and refinement rules for the adaptive resampling of the particles. Supporting numerical examples and comparisons with other radial kernels are provided.

Myocyte

A New Stiffly Accurate Rosenbrock-Wanner Method for Solving the Incompressible Navier-Stokes Equatinbrock–Wanner methods. Fully implicit RK methods may be ineffective for solving high dimensional ODEs since they need a high computational effort to solve the huge nonlinear system. Therefore we consider in this note diagonally implicit RK methods (DIRK methods).

MENT

On the Spectral Difference Method with Modal Filtering Applied to the Euler Equations,ossible edge detection techniques in two dimensions based on the conjugated Fourier partial sum. Finally, we show numerical results for the Spectral Difference method using the proposed filter technique applied to the Euler equations and the nonlinear shock vortex interaction.

stress-test

1612-2909 n by leading experts in the field.In January 2012 an Oberwolfach workshop took place on the topic of  recent.developments in the numerics of partial differential equations. Focus was  laid.on methods of high order and on applications in Computational Fluid Dynamics. The book covers most of the talks

GRE

Dealing with Parasitic Behaviour in G-Symplectic Integrators,issues in this research include the role of time-reversal symmetry in conservative integration, the exacerbation of parasitic effects and the construction and implementation of specific methods of increasingly high orders.

Contracture

An Adaptive Artificial Viscosity Method for the Saint-Venant System, rest” steady state and the positivity of water depth. We test the proposed scheme on a number of benchmarks. The obtained numerical results clearly demonstrate that our method is well-balanced, positivity preserving and highly accurate.

Ascendancy

A Rigorous Application of the Method of Vertical Lines to Coupled Systems in Finite Element Analysintial-algebraic equations after the spatial discretization step. For the case of a thermo-mechanical and an electro-thermal problem stiffly accurate diagonally-implicit Runge-Kutta methods are applied.