F D-method: The exponential rate of convergence

Journal of Mathematical Sciences

Volumn 104, Issue 6, 2001, Pages 1648-1653

  Makarov, V L ^a  

^a NONE

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Indexed keywords

EID: 34250331664     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1023/A:1011333314231     Document Type: Article

References (6)

1. V. L. Makarov, "On a functional-discrete approach to the solution of problems of mathematical physics," Dokl. Rashyrennykh Zasedaniy Sem. Inst. Prikl. Mat. I. N. Vekua, 6, No. 3, 73-76 (1991).
2. V. L. Makarov, "On a functional-difference method of an arbitrary accuracy order for solving a SturmLiouville problem with piecewise-smooth coefficients," Dokl. Akad. Nauk SSSR, 320, No. 1, 34-39 (1991).
3. V. L. Makarov and V. V. Vinokur, "The F D-method for first-order linear hyperbolic differential equations with piecewise-smooth coefficients," Comput. Appl. Math., No. 77, 1-11 (1993).
4. V. L. Makarov and V. V. Guminskiǐ, "The F D-schemes of an arbitrary accuracy order for singularly perturbed second-order ordinary differential equations with piecewise-smooth coefficients," Diff. Eq., 30, No. 3, 292-301 (1994).
5. L. D. Grekov and V. M. Krasnikov, "Compact schemes of a high order of accuracy for second order ordinary differential equations with singularities in the coefficients," Comput. Appl. Math., No. 77, 5560 (1993).
6. M. A. Krasnosel'skiǐ, G. M. Vainiko, P. P. Zabreiko, Ya. B Rutitskiǐ, and V. Ya. Stetsenko, An Approximate Solution of Operator Equations [in Russian], Nauka, Moscow (1969).