Existence and Error Estimates for Solutions of a Discrete Analog of Nonlinear Eigenvalue Problems

DOI10.2307/2005164zbMath0256.65048OpenAlexW4235921579MaRDI QIDQ5671596

R. Bruce Simpson

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2005164

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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Cites Work

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• Non-linear heat generation and stability of the temperature distribution in conducting solids
• On the formulation of finite difference analogues of the Dirichlet problem for Poisson's equation
• Elliptic boundary value problems suggested by nonlinear diffusion processes
• Newton's method under mild differentiability conditions
• On the convergence of difference approximations to weak solutions of Dirichlet's problem
• Error Estimates for Difference Methods in Forced Vibration Problems
• Approximate Solution and Error Bounds for Quasi-Linear Elliptic Boundary Value Problems
• Nonlinear diffusion induced by nonlinear sources
• Finite Difference Approximations for Eigenvalues of Uniformly Elliptic Operators
• On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}
• Finite Difference Methods for Mildly Nonlinear Eigenvalue Problems

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