, in
a Hilbert space H is considered. The first and second order
accuracy difference schemes generated by the integer power of A
approximately solving this initial value problem are presented.
The stability estimates for the solution of these difference
schemes are obtained.">
双曲型方程的初值问题
d
2
u
(
t
)
/
d
t
2
+
一个
u
(
t
)
=
f
(
t
)
(
0
≤
t
≤
1
)
,
u
(
0
)
=
φ
,
u
′
(
0
)
=
ψ希尔伯特空间
H被认为是。第一和二阶精度差分方案生成的整数的力量
一个大约这个初始值问题得到解决。稳定性估计这些不同的解决方案。