diff --git a/easybuild/easyconfigs/f/FFTW.MPI/FFTW.MPI-3.3.10-gompi-2024.05.eb b/easybuild/easyconfigs/f/FFTW.MPI/FFTW.MPI-3.3.10-gompi-2024.05.eb
new file mode 100644
index 00000000000..b6ab2a2d4f0
--- /dev/null
+++ b/easybuild/easyconfigs/f/FFTW.MPI/FFTW.MPI-3.3.10-gompi-2024.05.eb
@@ -0,0 +1,19 @@
+name = 'FFTW.MPI'
+version = '3.3.10'
+
+homepage = 'https://www.fftw.org'
+description = """FFTW is a C subroutine library for computing the discrete Fourier transform (DFT)
+in one or more dimensions, of arbitrary input size, and of both real and complex data."""
+
+toolchain = {'name': 'gompi', 'version': '2024.05'}
+toolchainopts = {'pic': True}
+
+source_urls = [homepage]
+sources = ['fftw-%(version)s.tar.gz']
+checksums = ['56c932549852cddcfafdab3820b0200c7742675be92179e59e6215b340e26467']
+
+dependencies = [('FFTW', '3.3.10')]
+
+runtest = 'check'
+
+moduleclass = 'numlib'
diff --git a/easybuild/easyconfigs/f/foss/foss-2024.05.eb b/easybuild/easyconfigs/f/foss/foss-2024.05.eb
new file mode 100644
index 00000000000..0d3f8fac41a
--- /dev/null
+++ b/easybuild/easyconfigs/f/foss/foss-2024.05.eb
@@ -0,0 +1,28 @@
+easyblock = 'Toolchain'
+
+name = 'foss'
+version = '2024.05'
+
+homepage = 'https://easybuild.readthedocs.io/en/master/Common-toolchains.html#foss-toolchain'
+description = """GNU Compiler Collection (GCC) based compiler toolchain, including
+ OpenMPI for MPI support, OpenBLAS (BLAS and LAPACK support), FFTW and ScaLAPACK."""
+
+toolchain = SYSTEM
+
+local_gccver = '13.3.0'
+
+# toolchain used to build foss dependencies
+local_comp_mpi_tc = ('gompi', version)
+
+# we need GCC and OpenMPI as explicit dependencies instead of gompi toolchain
+# because of toolchain preparation functions
+dependencies = [
+    ('GCC', local_gccver),
+    ('OpenMPI', '5.0.3', '', ('GCC', local_gccver)),
+    ('FlexiBLAS', '3.4.4', '', ('GCC', local_gccver)),
+    ('FFTW', '3.3.10', '', ('GCC', local_gccver)),
+    ('FFTW.MPI', '3.3.10', '', local_comp_mpi_tc),
+    ('ScaLAPACK', '2.2.0', '-fb', local_comp_mpi_tc),
+]
+
+moduleclass = 'toolchain'
diff --git a/easybuild/easyconfigs/g/gompi/gompi-2024.05.eb b/easybuild/easyconfigs/g/gompi/gompi-2024.05.eb
new file mode 100644
index 00000000000..c3f4137cd28
--- /dev/null
+++ b/easybuild/easyconfigs/g/gompi/gompi-2024.05.eb
@@ -0,0 +1,20 @@
+easyblock = 'Toolchain'
+
+name = 'gompi'
+version = '2024.05'
+
+homepage = '(none)'
+description = """GNU Compiler Collection (GCC) based compiler toolchain,
+ including OpenMPI for MPI support."""
+
+toolchain = SYSTEM
+
+local_gccver = '13.3.0'
+
+# compiler toolchain dependencies
+dependencies = [
+    ('GCC', local_gccver),  # includes both GCC and binutils
+    ('OpenMPI', '5.0.3', '', ('GCC', local_gccver)),
+]
+
+moduleclass = 'toolchain'
diff --git a/easybuild/easyconfigs/h/HPL/HPL-2.3-foss-2024.05.eb b/easybuild/easyconfigs/h/HPL/HPL-2.3-foss-2024.05.eb
new file mode 100644
index 00000000000..8dd7ddcfa9c
--- /dev/null
+++ b/easybuild/easyconfigs/h/HPL/HPL-2.3-foss-2024.05.eb
@@ -0,0 +1,21 @@
+name = 'HPL'
+version = '2.3'
+
+homepage = 'https://www.netlib.org/benchmark/hpl/'
+description = """HPL is a software package that solves a (random) dense linear system in double precision (64 bits)
+ arithmetic on distributed-memory computers. It can thus be regarded as a portable as well as freely available
+ implementation of the High Performance Computing Linpack Benchmark."""
+
+toolchain = {'name': 'foss', 'version': '2024.05'}
+toolchainopts = {'usempi': True}
+
+source_urls = ['https://www.netlib.org/benchmark/%(namelower)s']
+sources = [SOURCELOWER_TAR_GZ]
+# fix Make dependencies, so parallel build also works
+patches = ['HPL_parallel-make.patch']
+checksums = [
+    '32c5c17d22330e6f2337b681aded51637fb6008d3f0eb7c277b163fadd612830',  # hpl-2.3.tar.gz
+    '2a5bf9c4f328049828ddecec7ba3f05a9e25d236f4212747c53bd22fea80c5e6',  # HPL_parallel-make.patch
+]
+
+moduleclass = 'tools'
diff --git a/easybuild/easyconfigs/s/ScaLAPACK/ScaLAPACK-2.2.0-gompi-2024.05-fb.eb b/easybuild/easyconfigs/s/ScaLAPACK/ScaLAPACK-2.2.0-gompi-2024.05-fb.eb
new file mode 100644
index 00000000000..4bdfa045feb
--- /dev/null
+++ b/easybuild/easyconfigs/s/ScaLAPACK/ScaLAPACK-2.2.0-gompi-2024.05-fb.eb
@@ -0,0 +1,40 @@
+name = 'ScaLAPACK'
+version = '2.2.0'
+versionsuffix = '-fb'
+
+homepage = 'https://www.netlib.org/scalapack/'
+description = """The ScaLAPACK (or Scalable LAPACK) library includes a subset of LAPACK routines
+ redesigned for distributed memory MIMD parallel computers."""
+
+toolchain = {'name': 'gompi', 'version': '2024.05'}
+toolchainopts = {'extra_fflags': '-lpthread', 'openmp': True, 'pic': True, 'usempi': True}
+
+source_urls = [homepage]
+sources = [SOURCELOWER_TGZ]
+patches = ['ScaLAPACK-%(version)s_fix-GCC-10.patch']
+checksums = [
+    '40b9406c20735a9a3009d863318cb8d3e496fb073d201c5463df810e01ab2a57',  # scalapack-2.2.0.tgz
+    'f6bc3c6dee012ba4a696548a2e12b6aae932ce4fd5a142153b338839f52b5906',  # ScaLAPACK-2.2.0_fix-GCC-10.patch
+]
+
+builddependencies = [
+    ('CMake', '3.29.3'),
+]
+
+dependencies = [
+    ('FlexiBLAS', '3.4.4'),
+]
+
+# Config Opts based on AOCL User Guide:
+# https://developer.amd.com/wp-content/resources/AOCL_User%20Guide_2.2.pdf
+
+configopts = '-DBUILD_SHARED_LIBS=ON '
+configopts += '-DBLAS_LIBRARIES="$EBROOTFLEXIBLAS/lib/libflexiblas.%s" ' % SHLIB_EXT
+configopts += '-DLAPACK_LIBRARIES="$EBROOTFLEXIBLAS/lib/libflexiblas.%s" ' % SHLIB_EXT
+
+sanity_check_paths = {
+    'files': ['lib/libscalapack.%s' % SHLIB_EXT, 'lib64/libscalapack.%s' % SHLIB_EXT],
+    'dirs': ["lib", "lib64"],
+}
+
+moduleclass = 'numlib'