Developer Reference

  • 2021.1
  • 12/04/2020
  • Public Content

Partial Differential Equations Support

Intel® oneAPI Math Kernel Library (oneMKL)
provides tools for solving Partial Differential Equations (PDE). These tools are Trigonometric Transform interface routines (seeTrigonometric Transform Routines) and Poisson Solver (see Fast Poisson Solver Routines).
Poisson Solver is designed for fast solving of simple Helmholtz, Poisson, and Laplace problems. The solver is based on the Trigonometric Transform interface, which is, in turn, based on the
Intel® oneAPI Math Kernel Library
Fast Fourier Transform (FFT) interface (refer toFourier Transform Functions), optimized for Intel® processors.
Direct use of the Trigonometric Transform routines may be helpful to those who have already implemented their own solvers similar to the
Intel® oneAPI Math Kernel Library
Poisson Solver. As it may be hard enough to modify the original code so as to make it work with Poisson Solver, you are encouraged to use fast (staggered) sine/cosine transforms implemented in the Trigonometric Transform interface to improve performance of your solver.
Both Trigonometric Transform and Poisson Solver routines can be called from C and Fortran.
Optimization Notice
Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice.
Notice revision #20110804
This notice covers the following instruction sets: SSE2, SSE4.2, AVX2, AVX-512.

Product and Performance Information


Performance varies by use, configuration and other factors. Learn more at