#### Filter Results:

- Full text PDF available (5)

#### Publication Year

2007

2015

- This year (0)
- Last 5 years (4)
- Last 10 years (6)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

and Applied Analysis 3 We consider the Cauchy problem of 1.2 , which has the equivalent form ut − utxx − k m 1 ( u 1 )

- T Ergenn, B Karass Ozen, S Piskarev
- 2007

We present an analysis of the discretization methods for solving in Banach space E the semilinear Cauchy problem u 00 (t) = Au(t) + f(t; u(t)); u(0) = u 0 ; u 0 (0) = u 1 ; with operator A, which generate cosine operator function. We consider the existence of the solution in the case of compact function f and give analysis of semidiscretization on a general… (More)

- Javier Pastor, Sergey Piskarev
- Adv. Numerical Analysis
- 2011

This paper is devoted to the numerical analysis of abstract parabolic problem u′ t Au t ; u 0 u0, with hyperbolic generator A. We are developing a general approach to establish a discrete dichotomy in a very general setting in case of discrete approximation in space and time. It is a well-known fact that the phase space in the neighborhood of the hyperbolic… (More)

and Applied Analysis 3 2. Preliminaries Let V andH be complex Hilbert spaces forming Gelfand triple V ⊂ H ⊂ V ∗ with pivot space H. The norms of V , H and V ∗ are denoted by || · ||, | · |, and || · ||∗, respectively. The inner product inH is defined by ·, · . The embeddings V ↪→ H ↪→ V ∗ 2.1 are continuous. Then the following inequality easily follows:… (More)

and Applied Analysis 3

- Ru Liu, Miao Li, Sergey Piskarev
- Comput. Meth. in Appl. Math.
- 2015

- ‹
- 1
- ›