Abstract: A graphical user interface includes GUI elements configured for defining discretized base geometry data for a model of a physical system, receiving a first input representing a user instruction to add a perfectly matched layer to the model, receiving a second input representing the user selection of boundaries that define a base geometry, and receiving a third input representing extra geometry meshing instructions. Extra geometry line segment data is discretized representing an outward direction of a PML from the boundary according to the extra geometry meshing instructions. Weak form expressions representing a wave-related phenomena are formed based on received PML settings and physics settings parameterized using discretized base geometry data and discretized extra geometry data. Matrix data are generated based on the formed weak form expressions. A solution to a simulation of the wave-related phenomena of the model is generated based on the formed weak form expressions.

Abstract: Methods, systems, a computer program and a computer program product for providing service authorization to a Charging Client function which comprises associating one or more charging modifier actions with a user account, each charging modifier actions having an action start time and defining a charging modifier parameter and receiving a service authorization request indicating a request for service reservation from a charging client. A validity time period for the service reservation is determined; one or more of the associated charging modifier actions having the action start time within the determined validity time period is identified; the identified one or more associated charging modifier actions are executed to activate the charging modifiers for the user account and a service authorization response indicating a service reservation to the charging client is sent, the service reservation based on at least one of the activated charging modifiers.