Method of producing or repairing turbine or engine components, and a component, namely a turbine or engine component

A method of producing or repairing single-crystalline turbine or engine components by means of the following steps:

• heating of braze filler metal at a constant temperature rate to a peak temperature of 1200 to 1260° C., which is greater than or equal to the melting temperature of the braze filler metal;
• maintaining the braze filler metal at the peak temperature for 15 to 45 minutes;
• introducing a molten mass of the braze filler metal produced through the heating process into one of a crack formed in the turbine or engine component, a gap formed between two turbine or engine components, or a damaged area of a turbine or engine component;
• and
• non-isothermal control of the temperature of the braze filler metal or turbine or engine component by cooling the braze filler metal at a constant temperature rate during an epitaxic solidification process of said braze filler metal.