A Note on Stability Analysis of Taylor Collocation Method
نویسندگان
چکیده
منابع مشابه
Adaptive wavelet collocation method simulations of Rayleigh–Taylor instability
Numerical simulations of single-mode, compressible Rayleigh–Taylor instability are performed using the adaptive wavelet collocation method (AWCM), which utilizes wavelets for dynamic grid adaptation. Due to the physics-based adaptivity and direct error control of the method, AWCM is ideal for resolving the wide range of scales present in the development of the instability. The problem is initia...
متن کاملA Note on the Ross-Taylor Theorem
In this note the conditions used in proving a result due to S. M. Ross and H. M. Taylor are examined. These results pertain to the existence of bounded solutions to the average cost optimality equation for controlled Markov processes with an average cost criterion. In particular, we show how the use of commonly found convexity (concavity) properties of value functions can be employed to verify ...
متن کاملA note on positive deniteness and stability of interval matrices
It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.Furthermore we introduce a new necessary and sucient condition for checkingstability of interval...
متن کاملA note on positive deniteness and stability of interval matrices
It is proved that by using bounds of eigenvalues of an interval matrix, someconditions for checking positive deniteness and stability of interval matricescan be presented. These conditions have been proved previously with variousmethods and now we provide some new proofs for them with a unity method.Furthermore we introduce a new necessary and sucient condition for checkingstability of interval...
متن کاملA note on stability of the Douglas splitting method
In this note some stability results are derived for the Douglas splitting method. The relevance of the theoretical results is tested for an advection-reaction equation. 1. Presentation of the results Consider the initial value problem for a system of ODEs u′(t) = F (t, u(t)) (1.1) with 0 ≤ t ≤ T and given initial value u(0). We shall consider numerical schemes with step size τ yielding approxim...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Celal Bayar Üniversitesi Fen Bilimleri Dergisi
سال: 2017
ISSN: 1305-130X
DOI: 10.18466/cbayarfbe.302660