FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297095259> ?p ?o ?g. }

• W4297095259 endingPage "3198" @default.
• W4297095259 startingPage "3189" @default.
• W4297095259 abstract "The simulation of nonlinear components is central to virtual analog simulation. In audio effects, circuit elements often include devices such as diodes and transistors, mostly operating in the strongly nonlinear regime. Mathematical models are of the form of systems of nonlinear ordinary differential equations (ODEs), and traditional integrators, such as the trapezoid and midpoint methods, can be employed as solvers. These methods are fully implicit, and require the solution of a nonlinear algebraic system at each time step, introducing further complications regarding the existence and uniqueness of the solution, as well as the choice of halting conditions for the iterative root finder. On the other hand, fast explicit methods such as Forward Euler, or explicit Runge-Kutta methods, are prone to unstable behaviour at standard audio sample rates, even at moderate amplitudes. For these reasons, in this work a family of linearly-implicit schemes is presented. These schemes take the form of a perturbation expansion, making the construction of higher-order schemes possible. Compared with classic implicit designs, the proposed methods have the advantage of efficiency, since the update is computed in a single iteration, through the solution of a linear system of equations. Furthermore, the existence and uniqueness of the update are proven by simple inspection of the update matrix. Compared to classic explicit designs, the proposed schemes display stable behaviour at standard audio sample rates. In the case of a single scalar ODE, sufficient conditions for numerical stability can be derived, imposing constraints on the choice of the sampling rate. Several theoretical results are provided, as well as numerical examples for typical stiff equations used in virtual analog modelling." @default.
• W4297095259 created "2022-09-27" @default.
• W4297095259 creator A5020505937 @default.
• W4297095259 creator A5023116667 @default.
• W4297095259 date "2022-01-01" @default.
• W4297095259 modified "2023-10-16" @default.
• W4297095259 title "Non-Iterative Simulation Methods for Virtual Analog Modelling" @default.
• W4297095259 cites W1547850816 @default.
• W4297095259 cites W1972580129 @default.
• W4297095259 cites W1979969756 @default.
• W4297095259 cites W1986490616 @default.
• W4297095259 cites W2009253901 @default.
• W4297095259 cites W2026061145 @default.
• W4297095259 cites W2027876210 @default.
• W4297095259 cites W2078394884 @default.
• W4297095259 cites W2142789340 @default.
• W4297095259 cites W2142852645 @default.
• W4297095259 cites W2144751081 @default.
• W4297095259 cites W2152859647 @default.
• W4297095259 cites W2217066164 @default.
• W4297095259 cites W2484971506 @default.
• W4297095259 cites W2526408861 @default.
• W4297095259 cites W2776539204 @default.
• W4297095259 cites W2797424010 @default.
• W4297095259 cites W280536263 @default.
• W4297095259 cites W2924259312 @default.
• W4297095259 cites W2954349310 @default.
• W4297095259 cites W2964388437 @default.
• W4297095259 cites W3165271590 @default.
• W4297095259 cites W3170685640 @default.
• W4297095259 cites W3194139522 @default.
• W4297095259 doi "https://doi.org/10.1109/taslp.2022.3209934" @default.
• W4297095259 hasPublicationYear "2022" @default.
• W4297095259 type Work @default.
• W4297095259 citedByCount "1" @default.
• W4297095259 countsByYear W42970952592023 @default.
• W4297095259 crossrefType "journal-article" @default.
• W4297095259 hasAuthorship W4297095259A5020505937 @default.
• W4297095259 hasAuthorship W4297095259A5023116667 @default.
• W4297095259 hasBestOaLocation W42970952591 @default.
• W4297095259 hasConcept C11413529 @default.
• W4297095259 hasConcept C121332964 @default.
• W4297095259 hasConcept C134306372 @default.
• W4297095259 hasConcept C154945302 @default.
• W4297095259 hasConcept C15744967 @default.
• W4297095259 hasConcept C158622935 @default.
• W4297095259 hasConcept C159694833 @default.
• W4297095259 hasConcept C181582579 @default.
• W4297095259 hasConcept C2524010 @default.
• W4297095259 hasConcept C2775924081 @default.
• W4297095259 hasConcept C2776029896 @default.
• W4297095259 hasConcept C2776257435 @default.
• W4297095259 hasConcept C2777021972 @default.
• W4297095259 hasConcept C28826006 @default.
• W4297095259 hasConcept C31258907 @default.
• W4297095259 hasConcept C33923547 @default.
• W4297095259 hasConcept C34862557 @default.
• W4297095259 hasConcept C41008148 @default.
• W4297095259 hasConcept C47446073 @default.
• W4297095259 hasConcept C51544822 @default.
• W4297095259 hasConcept C57691317 @default.
• W4297095259 hasConcept C62520636 @default.
• W4297095259 hasConcept C77805123 @default.
• W4297095259 hasConcept C78045399 @default.
• W4297095259 hasConcept C79518650 @default.
• W4297095259 hasConceptScore W4297095259C11413529 @default.
• W4297095259 hasConceptScore W4297095259C121332964 @default.
• W4297095259 hasConceptScore W4297095259C134306372 @default.
• W4297095259 hasConceptScore W4297095259C154945302 @default.
• W4297095259 hasConceptScore W4297095259C15744967 @default.
• W4297095259 hasConceptScore W4297095259C158622935 @default.
• W4297095259 hasConceptScore W4297095259C159694833 @default.
• W4297095259 hasConceptScore W4297095259C181582579 @default.
• W4297095259 hasConceptScore W4297095259C2524010 @default.
• W4297095259 hasConceptScore W4297095259C2775924081 @default.
• W4297095259 hasConceptScore W4297095259C2776029896 @default.
• W4297095259 hasConceptScore W4297095259C2776257435 @default.
• W4297095259 hasConceptScore W4297095259C2777021972 @default.
• W4297095259 hasConceptScore W4297095259C28826006 @default.
• W4297095259 hasConceptScore W4297095259C31258907 @default.
• W4297095259 hasConceptScore W4297095259C33923547 @default.
• W4297095259 hasConceptScore W4297095259C34862557 @default.
• W4297095259 hasConceptScore W4297095259C41008148 @default.
• W4297095259 hasConceptScore W4297095259C47446073 @default.
• W4297095259 hasConceptScore W4297095259C51544822 @default.
• W4297095259 hasConceptScore W4297095259C57691317 @default.
• W4297095259 hasConceptScore W4297095259C62520636 @default.
• W4297095259 hasConceptScore W4297095259C77805123 @default.
• W4297095259 hasConceptScore W4297095259C78045399 @default.
• W4297095259 hasConceptScore W4297095259C79518650 @default.
• W4297095259 hasFunder F4320334678 @default.
• W4297095259 hasLocation W42970952591 @default.
• W4297095259 hasLocation W42970952592 @default.
• W4297095259 hasLocation W42970952593 @default.
• W4297095259 hasOpenAccess W4297095259 @default.
• W4297095259 hasPrimaryLocation W42970952591 @default.
• W4297095259 hasRelatedWork W1596940231 @default.
• W4297095259 hasRelatedWork W2021809153 @default.

• next