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Ordinary differential equations --- Numerical solutions of differential equations --- Differential equations --- Numerical solutions --- Numerical solutions. --- Differential equations - Numerical solutions

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This work inaugurates a new and general solution method for arbitrary continuous nonlinear PDEs. The solution method is based on Dedekind order completion of usual spaces of smooth functions defined on domains in Euclidean spaces. However, the nonlinear PDEs dealt with need not satisfy any kind of monotonicity properties. Moreover, the solution method is completely type independent. In other words, it does not assume anything about the nonlinear PDEs, except for the continuity of their left hand term, which includes the unkown function. Furt

Differential equations, Nonlinear --- Numerical solutions. --- Numerical analysis

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Differential equations --- Finite differences. --- Numerical solutions.

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Differential geometry. Global analysis --- Differential equations --- Numerical solutions --- Differential equations - Numerical solutions --- Systeme dynamique --- Vibration

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Differential equations --- Lie groups. --- Numerical analysis. --- Numerical solutions.