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International Journal of Pure, Applied and Computational Mathematics (IJPACM)

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Volume 1, Issue 2 (Current Issue - Summer 2026)

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IJPACM

Volume 1, Issue 2 (Current Issue - Summer 2026)

Published: June 2026
Articles: 2
Access: CC BY 4.0 Open

Table of Contents

Peer-Reviewed Research Articles in this Issue

Computational Mathematics & Numerical Analysis Pages 101-118
DOI: 10.5555/ijpacm.2026.1.2.01

Scalable Distributed Tensor Decomposition for Multi-Omics Clinical Phenotyping

High-Performance Asynchronous Factorization on Heterogeneous GPU Clusters

Authors: Author User Prof. Sarah Chen System Administrator

High-throughput multi-omics sequencing generates multi-way tensor arrays exceeding petabyte scales, creating urgent computational bottlenecks for clinical discovery. We introduce Distributed Tucker-CP (DT-CP), an asynchronous lock-free tensor factorization algorithm optimized for CUDA/ROCm memory hierarchies with adaptive communication pipelining. On a 256-node GPU cluster, DT-CP demonstrates a 14.8x acceleration over state-of-the-art MPI-Tensor frameworks, processing 4.2 billion patient feature interactions in 18.4 minutes while maintaining 99.4% spectral accuracy. DT-CP unlocks real-time multi-omics phenotyping in clinical genomics pipelines, providing an open-source mathematical infrastructure for precision medicine.

Computational Mathematics & Numerical Analysis Pages 119-134
DOI: 10.5555/ijpacm.2026.1.2.02

Evaluating Neural Implicit Representations for High-Resolution Cryo-EM Reconstruction

Continuous Volume Field Recovery Beyond the Nyquist Limit

Authors: Reviewer User Prof. Kenji Takahashi

Cryogenic electron microscopy (Cryo-EM) is hindered by severe signal-to-noise attenuation and conformational heterogeneity in macromolecular complexes. We formulate Cryo-NeRF, a coordinate-based continuous neural field parameterized by Fourier feature embeddings and coordinate-aware volume rendering that jointly refines 3D voxel density and pose orientation angles. Evaluations on benchmark ribosome datasets (EMPIAR-10028) reveal resolution improvements from 2.9Å to 2.1Å without requiring discrete conformational binning. Neural implicit representations provide a differentiable, bias-free pathway for atomic-level macromolecular modeling directly from noisy micrograph projections.