The phrase "a new method was established" is correct and usable in written English.
You can use it when discussing the introduction or implementation of a new technique or approach in a particular field or context.
Example: "After extensive research, a new method was established to improve the efficiency of the manufacturing process."
Alternatives: "a new technique was developed" or "a new approach was introduced."
A new method was established for illustrating the scale-based correlations, using the product of the regression coefficient and the normalized slope.
A new method was established for fine visualization of bacterial subcelluar filamentous structures by freezing the bacterial cells to displace cytoplasmic matrix granules to the periphery.
A new method was established for typing multiple single nucleotides polymorphisms (SNPs) using multiplex polymerase chain reaction (PCR) on the platform of microchip electrophoresis.
The development of the orchestra by Hector Berlioz, Giuseppe Verdi, and Wagner in the 19th century encouraged singers to seek means of amplifying their voices by methods of resonation unknown in the bel canto style, and a new method was established of "singing on resonance".
Three common used polymers, comb polymer (KYPAM-2), hydro-polyacrylamide MO-40000) and hydrophobically associating polymers (HTPW) were selected as the research objects and the new method was established based on an elasticity-recovery experiment.
Here, an entirely new method is established to approach this problem at different scales by combining high-temperature friction study of coatings (Fraunhofer Institute for mechanics of materials, IWM), and micro-tribology for stick slip analysis (Holon Institute of Technology, HIT).
Using error norms L2 and L∞ and conservative properties of mass, momentum and energy, accuracy and efficiency of the new method is established through comparison with the existing techniques.
The new method is established on the KLU sparse matrix solver which is suitable for circuit based simulation methods The solver is programmed using parallelization through automatic detection of sparse matrix submatrices separated by the natural decoupling available in transmission line/cable models.
The global convergence and the (1+q -order convergent rate of the new method are established under suitable conditions.
The sufficient descent property, the trust region feature, and the global convergence of the new method are established in Section 3.
Also the monotone convergence of the new methods is established.
