Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)
A survey of interval Runge-Kutta and multistep methods for solving the initial value problem
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
The central difference interval method for solving the wave equation
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part II
The central difference interval method for solving the wave equation
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part II
PARA'12 Proceedings of the 11th international conference on Applied Parallel and Scientific Computing
A central-backward difference interval method for solving the wave equation
PARA'12 Proceedings of the 11th international conference on Applied Parallel and Scientific Computing
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A way of constructing the interval method of second order for solving one dimensional wave equation is presented in the paper. The central difference interval method for the hyperbolic Partial Differential Equation is taken into consideration. The suitable Dirichlet and Cauchy conditions are satisfied for the string with fixed endpoints. The estimations of discretization errors are proposed. The method of floating-point interval arithmetic is studied. The numerical experiment is presented.