2011, ISBN: 9400700881

[EAN: 9789400700888], Neubuch, [SC: 0.0], [PU: Springer Netherlands], OPTIK; KRYLOV SUBSPACE METHODS; MODELS-ORDER-REDUCTION (MOR); INTEGRATED CIRCUIT DESIGN; MODEL ORDER REDUCTION; NANOT… Más…

[EAN: 9789400700888], Neubuch, [SC: 0.0], [PU: Springer Netherlands], OPTIK; KRYLOV SUBSPACE METHODS; MODELS-ORDER-REDUCTION (MOR); INTEGRATED CIRCUIT DESIGN; MODEL ORDER REDUCTION; NANOTECHNOLOGY; PROPER ORTHOGONAL DECOMPOSITION, Druck auf Anfrage Neuware - Printed after ordering - Simulation based on mathematical models plays a major role in computer aided design of integrated circuits (ICs). Decreasing structure sizes, increasing packing densities and driving frequencies require the use of refined mathematical models, and to take into account secondary, parasitic effects. This leads to very high dimensional problems which nowadays require simulation times too large for the short time-to-market demands in industry. Modern Model Order Reduction (MOR) techniques present a way out of this dilemma in providing surrogate models which keep the main characteristics of the device while requiring a significantly lower simulation time than the full model.With Model Reduction for Circuit Simulation we survey the state of the art in the challenging research field of MOR for ICs, and also address its future research directions. Special emphasis is taken on aspects stemming from miniturisations to the nano scale. Contributions cover complexity reduction using e.g., balanced truncation, Krylov-techniques or POD approaches. For semiconductor applications a focus is on generalising current techniques to differential-algebraic equations, on including design parameters, on preserving stability, and on including nonlinearity by means of piecewise linearisations along solution trajectories (TPWL) and interpolation techniques for nonlinear parts. Furthermore the influence of interconnects and power grids on the physical properties of the device is considered, and also top-down system design approaches in which detailed block descriptions are combined with behavioral models. Further topics consider MOR and the combination of approaches from optimisation and statistics, and the inclusion of PDE models with emphasis on MOR for the resulting partial differential algebraic systems. The methods which currently are being developed have also relevance in other application areas such as mechanical multibody systems, and systems arising in chemistry and to biology.The current number of books in the area of MOR for ICs is very limited, so that this volume helps to fill a gap in providing the state of the art material, and to stimulate further research in this area of MOR. Model Reduction for Circuit Simulation also reflects and documents the vivid interaction between three active research projects in this area, namely the EU-Marie Curie Action ToK project O-MOORE-NICE (members in Belgium, The Netherlands and Germany), the EU-Marie Curie Action RTN-project COMSON (members in The Netherlands, Italy, Germany, and Romania), and the German federal project System reduction in nano-electronics (SyreNe)., Books<

ISBN: 9789400700888

Simulation based on mathematical models plays a major role in computer aided design of integrated circuits (ICs). Decreasing structure sizes, increasing packing densities and driving freq… Más…

Simulation based on mathematical models plays a major role in computer aided design of integrated circuits (ICs). Decreasing structure sizes, increasing packing densities and driving frequencies require the use of refined mathematical models, and to take into account secondary, parasitic effects. This leads to very high dimensional problems which nowadays require simulation times too large for the short time-to-market demands in industry. Modern Model Order Reduction (MOR) techniques present a way out of this dilemma in providing surrogate models which keep the main characteristics of the device while requiring a significantly lower simulation time than the full model. With Model Reduction for Circuit Simulation we survey the state of the art in the challenging research field of MOR for ICs, and also address its future research directions. Special emphasis is taken on aspects stemming from miniturisations to the nano scale. Contributions cover complexity reduction using e.g., balanced truncation, Krylov-techniques or POD approaches. For semiconductor applications a focus is on generalising current techniques to differential-algebraic equations, on including design parameters, on preserving stability, and on including nonlinearity by means of piecewise linearisations along solution trajectories (TPWL) and interpolation techniques for nonlinear parts. Furthermore the influence of interconnects and power grids on the physical properties of the device is considered, and also top-down system design approaches in which detailed block descriptions are combined with behavioral models. Further topics consider MOR and the combination of approaches from optimisation and statistics, and the inclusion of PDE models with emphasis on MOR for the resulting partial differential algebraic systems. The methods which currently are being developed have also relevance in other application areas such as mechanical multibody systems, and systems arising in chemistry and to biology. The current number of books in the area of MOR for ICs is very limited, so that this volume helps to fill a gap in providing the state of the art material, and to stimulate further research in this area of MOR. Model Reduction for Circuit Simulation also reflects and documents the vivid interaction between three active research projects in this area, namely the EU-Marie Curie Action ToK project O-MOORE-NICE (members in Belgium, The Netherlands and Germany), the EU-Marie Curie Action RTN-project COMSON (members in The Netherlands, Italy, Germany, and Romania), and the German federal project System reduction in nano-electronics (SyreNe)., Springer<

ISBN: 9789400700888

Simulation plays a major role in computer aided design of integrated circuits (ICs). Mathematical models describe the dynamical processes and interactions of electrical devices. Verificat… Más…

Simulation plays a major role in computer aided design of integrated circuits (ICs). Mathematical models describe the dynamical processes and interactions of electrical devices. Verification of a circuit's behaviour by means of solving these model equations in time and frequency domain is a mandatory task in the design process. The structures' sizes are decreasing, the packing density gets higher and so do the driving frequencies. This requires to use refined models and take into account secondary, parasitic effects. The very high dimensional problems that emerge in this way may be solvable with the help of computer algebra in an unreasonable amount of time only. Clearly, this conflicts with the short time-to-market demands in industry. Model-Order-Reduction (MOR) presents a way out of this dilemma. Redundancies are resolved, less relevant quantities are replaced by the most significant ones. In this way, the problem's complexity is reduced, keeping the main characteristics. Solving lower dimensional problems one can get statements on the circuit's performance more quickly. With Model Reduction for Circuit Simulation we survey the state of the art in the challenging research field of model order reduction for ICs, and also address its future research directions. Special emphasis is taken on aspects stemming from miniaturizations to the nano scale. Contributions cover complexity reduction using e.g., balanced truncation, Krylov-techniques or POD approaches. For semiconductor applications a focus is on generalizing current techniques to differential-algebraic equations, on including design parameters, on preserving stability, and on including nonlinearity by means of piecewise linearisations along solution trajectories (TPWL) and interpolation techniques for nonlinear parts.Furthermore the influence of interconnects and powergrids on the physical properties of the device is considered, and also top-down system design approaches in which detailed block descriptions are combined with behavioral models. MOR faces the same requests as those appearing with Response Surface Modeling(RSM) techniques for Robust Design, with emphasis on parameterization, parameter screening, and nonlinearity.Further topics consider MOR and the combination of approaches from optimization and statistics, and the inclusion of pde models with emphasis on MOR for the resulting Partial Differential Algebraic systems. New Textbooks>Hardcover>Science>Engineering>ELEC Engr, Springer Netherlands Core >2 >T<

2011, ISBN: 9400700881

2011 Gebundene Ausgabe Optik, Mathematik für Ingenieure, Schaltkreise und Komponenten (Bauteile), Krylov subspace methods; Models-Order-Reduction (MOR); Integrated Circuit Design; model… Más…

2011 Gebundene Ausgabe Optik, Mathematik für Ingenieure, Schaltkreise und Komponenten (Bauteile), Krylov subspace methods; Models-Order-Reduction (MOR); Integrated Circuit Design; model order reduction; Nanotechnology; Proper Orthogonal Decomposition, mit Schutzumschlag 11, [PU:Springer Netherlands; Springer Netherland]<

2011, ISBN: 9400700881

2011 Gebundene Ausgabe Optik, Mathematik für Ingenieure, Schaltkreise und Komponenten (Bauteile), Krylovsubspacemethods; Models-Order-Reduction(MOR); IntegratedCircuitDesign; Modelorder… Más…

2011 Gebundene Ausgabe Optik, Mathematik für Ingenieure, Schaltkreise und Komponenten (Bauteile), Krylovsubspacemethods; Models-Order-Reduction(MOR); IntegratedCircuitDesign; Modelorderreduction; Nanotechnology; properorthogonaldecomposition, mit Schutzumschlag 11, [PU:Springer Netherlands; Springer Netherland]<