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An almost monotone approximation for a nonlinear two‐point boundary value problem (1998)

Guo, Ben‐yu ; Wang, Yuan‐ming

Springer

Advances in computational mathematics 8 (1998), S. 65-96

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ISSN: 1572-9044

Keywords: nonlinear two‐point problem ; almost monotone approximation ; nonlinear Jacobi and Gauss–Seidel iterations ; 65L10 ; 65L60

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Almost monotone approximation is proposed for nonlinear two‐points problem. A general framework is given for studying the existence and uniqueness of numerical solutions. A discrete approximation with high accuracy is constructed. Nonlinear Jacobi iteration and Gauss–Seidel iteration are introduced to save work. The continuous approximation is also considered. The numerical results show the advantages of such an approach.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1018983927675

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