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All Journal BULLETIN OF THE MARINE GEOLOGY Indonesian Journal of Applied Mathematics
Sandy Hardian Susanto Herho
University of California, Riverside
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Physics

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Quantitative Performance Analysis of Spring-Mass-Damper Control Systems: A Comparative Implementation in Python and R Sandy Hardian Susanto Herho; Siti Nurzannah Kaban
Indonesian Journal of Applied Mathematics Vol. 5 No. 1 (2025): Indonesian Journal of Applied Mathematics Vol. 5 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v5i1.2104

Abstract

The numerical simulation of control of spring-mass-damper (SMD) systems offer critical insights into dynamical systems and computational methodologies. This study provides a comprehensive comparative analysis of implementing SMD systems across two prominent open-source scientific computing platforms: Python and R. By examining both open-loop and closed-loop system configurations, the research investigates the computational performance, numerical accuracy, and implementation characteristics of these platforms. Utilizing an idealized one-dimensional SMD system with a Proportional-Integral-Derivative (PID) controller, the study conducted extensive numerical simulations and statistical performance analyses. Results revealed Python's significant advantages in execution speed, achieving up to 63.57% reduction in runtime for controlled system simulations, while R demonstrated superior consistency in execution and memory usage. The controlled system demonstrated exceptional performance, with a final position error of merely 0.4% and enhanced damping characteristics. This work not only bridges theoretical stability analysis with empirical performance insights but also promotes reproducibility and transparency in computational dynamics research by leveraging open-source platforms.
amangkurat: A Python library for symplectic pseudo-spectral solution of the idealized (1+1)D nonlinear Klein-Gordon equation Sandy Hardian Susanto Herho; Siti Kaban
Indonesian Journal of Applied Mathematics Vol. 6 No. 1 (2026): Indonesian Journal of Applied Mathematics Vol. 6 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v6i1.2537

Abstract

This study introduces amangkurat, an open-source Python library designed for the robust numerical simulation of relativistic scalar field dynamics governed by the nonlinear Klein-Gordon equation in (1 + 1)D spacetime. The software implements a hybrid computational strategy that couples Fourier pseudo-spectral spatial discretization with a symplectic Størmer-Verlet temporal integrator, ensuring both exponential spatial convergence for smooth solutions and long-term preservation of Hamiltonian structure. To optimize performance, the solver incorporates adaptive timestepping based on Courant-Friedrichs-Lewy (CFL) stability criteria and utilizes Just-In-Time (JIT) compilation for parallelized force computation. The library’s capabilities are validated across four canonical physical regimes: dispersive linear wave propagation, static topological kink preservation in phi-fourth theory, integrable breather dynamics in the sine-Gordon model, and non-integrable kink-antikink collisions. Beyond standard numerical validation, this work establishes a multi-faceted analysis framework employing information-theoretic entropy metrics (Shannon, Rényi, and Tsallis), kernel density estimation, and phase space reconstruction to quantify the distinct phenomenological signatures of these regimes. Statistical hypothesis testing confirms that these scenarios represent statistically distinguishable dynamical populations. Benchmarks on standard workstation hardware demonstrate that the implementation achieves high computational efficiency, making it a viable platform for exploratory research and education in nonlinear field theory.
SURFACE OCEANOGRAPHIC VARIABILITY DURING THE LAST GLACIAL MAXIMUM AND LATE HOLOCENE IN THE INDONESIAN MARITIME CONTINENT Daffa Zettira Mazdhania; Sandy Hardian Susanto Herho; Iwan Pramesti Anwar; Marfasran Hendrizan; Siti Nurzannah Kaban; Faruq Khadami; Rima Rachmayani; Sri Yudawati Cahyarini
BULLETIN OF THE MARINE GEOLOGY Vol 41, No 1 (2026)
Publisher : Marine Geological Institute of Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32693/bomg.41.1.2026.976

Abstract

This study provides a statistical characterization of surface oceanographic variability in the Indonesian Maritime Continent (IMC) during the Last Glacial Maximum (LGM; 23-19 ka) and Late Holocene (LH; 4-0 ka). Using the lgmDA v2.1 paleoclimate data assimilation product, we analyzed sea surface temperature (SST), sea surface salinity (SSS), and seawater δ¹⁸O. Results indicate the LGM was significantly cooler, saltier, and isotopically enriched, with lower spatial heterogeneity compared to the LH. Comprehensive nonparametric testing confirmed these differences reflected fundamental changes in distributional properties, not merely mean-state shifts. The findings suggest a major oceanographic regime shift, likely driven by lower sea levels, a weakened Indonesian Throughflow (ITF), enhanced stratification, and a drier regional climate during the LGM. This work offers a statistical framework for understanding IMC sensitivity to glacial-interglacial forcing.
Co-Authors Daffa Zettira Mazdhania Faruq Khadami Iwan Pramesti Anwar Marfasran Hendrizan Rima Rachmayani Siti Kaban Siti Nurzannah Kaban Siti Nurzannah Kaban Sri Yudawati Cahyarini