Differential-Algebraic Equations: A Projector Based Analysis

Authors:

ISBN: 978-3-642-27554-8 (Print) 978-3-642-27555-5 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages I-XXVII

  2. Projector based approach

    1. Front Matter

      Pages 1-2

    2. No Access

      Book Chapter

      Pages 3-56

      Linear constant coefficient DAEs

    3. No Access

      Book Chapter

      Pages 57-181

      Linear DAEs with variable coefficients

    4. No Access

      Book Chapter

      Pages 183-314

      Nonlinear DAEs

  3. Index-1 DAEs: Analysis and numerical treatment

    1. Front Matter

      Pages 315-316

    2. No Access

      Book Chapter

      Pages 317-337

      Analysis

    3. No Access

      Book Chapter

      Pages 339-373

      Numerical integration

    4. No Access

      Book Chapter

      Pages 375-395

      Stability issues

  4. Computational aspects

    1. Front Matter

      Pages 397-398

    2. No Access

      Book Chapter

      Pages 399-417

      Computational linear algebra aspects

    3. No Access

      Book Chapter

      Pages 419-438

      Aspects of the numerical treatment of higher index DAEs

  5. Advanced topics

    1. Front Matter

      Pages 439-440

    2. No Access

      Book Chapter

      Pages 441-476

      Quasi-regular DAEs

    3. No Access

      Book Chapter

      Pages 477-503

      Nonregular DAEs

    4. No Access

      Book Chapter

      Pages 505-538

      Minimization with constraints described by DAEs

    5. No Access

      Book Chapter

      Pages 539-580

      Abstract differential-algebraic equations

  6. Back Matter

    Pages 581-649