Book Volume 13 2008

Model Order Reduction: Theory, Research Aspects and Applications

ISBN: 978-3-540-78840-9 (Print) 978-3-540-78841-6 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages I-XI

  2. Basic Concepts

    1. No Access

      Chapter

      Pages 3-32

      Introduction to Model Order Reduction

    2. No Access

      Chapter

      Pages 33-45

      Linear Systems, Eigenvalues, and Projection

  3. Theory

    1. No Access

      Chapter

      Pages 49-73

      Structure-Preserving Model Order Reduction of RCL Circuit Equations

    2. No Access

      Chapter

      Pages 75-93

      A Unified Krylov Projection Framework for Structure-Preserving Model Reduction

    3. No Access

      Chapter

      Pages 95-109

      Model Reduction via Proper Orthogonal Decomposition

    4. No Access

      Chapter

      Pages 111-132

      PMTBR: A Family of Approximate Principal-components-like Reduction Algorithms

    5. No Access

      Chapter

      Pages 133-155

      A Survey on Model Reduction of Coupled Systems

    6. No Access

      Chapter

      Pages 157-176

      Space Mapping and Defect Correction

    7. No Access

      Chapter

      Pages 177-193

      Modal Approximation and Computation of Dominant Poles

    8. No Access

      Chapter

      Pages 195-211

      Some Preconditioning Techniques for Saddle Point Problems

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      Chapter

      Pages 213-250

      Time Variant Balancing and Nonlinear Balanced Realizations

    10. No Access

      Chapter

      Pages 251-272

      Singular Value Analysis and Balanced Realizations for Nonlinear Systems

  4. Research Aspects and Applications

    1. No Access

      Chapter

      Pages 275-303

      Matrix Functions

    2. No Access

      Chapter

      Pages 305-321

      Model Reduction of Interconnected Systems

    3. No Access

      Chapter

      Pages 323-340

      Quadratic Inverse Eigenvalue Problem and Its Applications to Model Updating — An Overview

    4. No Access

      Chapter

      Pages 341-359

      Data-Driven Model Order Reduction Using Orthonormal Vector Fitting

    5. No Access

      Chapter

      Pages 361-401

      Model-Order Reduction of High-Speed Interconnects Using Integrated Congruence Transform

    6. No Access

      Chapter

      Pages 403-419

      Model Order Reduction for MEMS: Methodology and Computational Environment for Electro-Thermal Models

    7. No Access

      Chapter

      Pages 421-446

      Model Order Reduction of Large RC Circuits

    8. No Access

      Chapter

      Pages 447-467

      Reduced Order Models of On-Chip Passive Components and Interconnects, Workbench and Test Structures

  5. Back Matter

    Pages 469-471