Solving ordinary differential equations 2 Stiff and differential-algebraic problems / E. Hairer, G. Wanner.

• Chapter IV Stiff Problems - One-Step Methods -- IV.1 Examples of Stiff Equations -- IV.2 Stability Analysis for Explicit RK Methods -- IV.3 Stability Function of Implicit RK-Methods -- IV.4 Order Stars -- IV.5 Construction of Implicit Runge-Kutta Methods -- IV.6 Diagonally Implicit RK Methods -- IV.7 Rosenbrock-Type Methods -- IV.8 Implementation of Rosenbrock-Type Methods -- IV.9 Extrapolation Methods -- IV.10 Numerical Experiments -- IV.11 Contractivity for Linear Problems -- IV.12 B-Stability and Contractivity -- IV.13 Positive Quadrature Formulas and B-Stable RK-Methods -- IV.14 Existence and Uniqueness of IRK Solutions -- IV.15 B-Convergence -- Chapter V Multistep Methods for Stiff Problems -- V.1 Stability of Multistep Methods -- V.2 "Nearly" A-Stable Multistep Methods -- V.3 Generalized Multistep Methods -- V.4 Order Stars on Riemann Surfaces -- V.5 Experiments with Multistep Codes -- V.6 One-Leg Methods and G-Stability -- V.7 Convergence for Linear Problems -- V.8 Convergence for Nonlinear Problems -- V.9 Algebraic Stability of General Linear Methods -- Chapter VI Singular Perturbation Problems and Index 1 Problems -- VI.1 Solving Index 1 Problems -- VI.2 Multistep Methods -- VI.3 Epsilon Expansions for Exact and RK Solutions -- VI.4 Rosenbrock Methods -- VI.5 Extrapolation Methods -- VI.6 Quasilinear Problems -- Chapter VII Differential-Algebraic Equations of Higher Index -- VII.1 The Index and Various Examples -- VII.2 Index Reduction Methods -- VII.3 Multistep Methods for Index 2 DAE -- VII.4 Runge-Kutta Methods for Index 2 DAR -- VII.5 Order Conditions for Index 2 DAE -- VII.6 Half-Explicit Methods for Index 2 Systems -- VII.7 Computation of Multibody Mechanisms -- VII.8 Symplectic Methods for Constrained Hamiltonian Systems. 

Ämnesord

Differentialekvationer  (sao)

Differential equations  -- Numerical solutions (LCSH)

Differential equations  (LCSH)

Indexterm och SAB-rubrik

Tdcbba Differentialekvationer

Tak Matematik Numerisk Analys

Tdcbba Ordinära differentialekvationer

Tak Numerisk analys

Klassifikation

515.352 (DDC)

518 (DDC)

65L (msc)

34A (msc)

Tdcbba (kssb/6)

Tak (kssb/6)