Current Challenges in Stability Issues for Numerical Differential Equations Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi /

• Main Authors: Beyn, Wolf-Jürgen (Author), Dieci, Luca (Author), Guglielmi, Nicola (Author), Hairer, Ernst (Author), Sanz-Serna, Jesús María (Author), Zennaro, Marino (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Lecture Notes in Mathematics, 2082
• Subjects: Mathematics.; Matrix theory.; Algebra.; Differential equations.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Algorithms.; Computational Mathematics and Numerical Analysis.; Applications of Mathematics.; Ordinary Differential Equations.; Partial Differential Equations.; Linear and Multilinear Algebras, Matrix Theory.

This volume addresses some of the research areas in the general field of stability studies for differential equations, with emphasis on issues of concern for numerical studies. Topics considered include: (i) the long time integration of Hamiltonian Ordinary DEs and highly oscillatory systems, (ii) c...

Table of Contents:

• Studies on current challenges in stability issues for numerical differential equations
• Long-Term Stability of Symmetric Partitioned Linear Multistep Methods
• Markov Chain Monte Carlo and Numerical Differential Equations
• Stability and Computation of Dynamic Patterns in PDEs
• Continuous Decompositions and Coalescing Eigen values for Matrices Depending on Parameters
• Stability of linear problems: joint spectral radius of sets of matrices.