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Numerical Solution of Boundary Value Problems Using Quantum Computing System

JOURNAL ARTICLE published 2025 in International Journal of System of Systems Engineering

Authors: R. Dharani | Varun Kumar Nomula | Suman Rajest George | Debabrata Datta | Ajanta Das | K. Danesh

A higher dimensional Marcinkiewicz exponent and the Riemann boundary value problems for polymonogenic functions on fractals domains

JOURNAL ARTICLE published November 2024 in Journal of Mathematical Analysis and Applications

Research funded by Instituto Politécnico Nacional (SIP20230312) | CONACYT (957110)

Authors: Carlos Daniel Tamayo-Castro | Juan Bory-Reyes

A posteriori error estimates of the weak Galerkin finite element methods for parabolic problems

JOURNAL ARTICLE published August 2024 in Journal of Computational and Applied Mathematics

Research funded by National Natural Science Foundation of China (11501473) | Fundamental Research Funds for the Central Universities (2682016CX108)

Authors: Jiajia Dai | Luoping Chen | Miao Yang

Modular uniform convexity structures and applications to boundary value problems with non-standard growth

JOURNAL ARTICLE published August 2024 in Journal of Mathematical Analysis and Applications

Research funded by Khalifa University of Science, Technology and Research (8474000357)

Authors: Mohamed A. Khamsi | Osvaldo Méndez

On strong convergence of two numerical methods for singular initial value problems with multiplicative white noise

JOURNAL ARTICLE published August 2024 in Journal of Computational and Applied Mathematics

Research funded by National Natural Science Foundation of China (12071073)

Authors: Nan Deng | Wanrong Cao

A priori error estimates of VSBDF2 schemes for solving parabolic distributed optimal control problems

JOURNAL ARTICLE published August 2024 in Communications in Nonlinear Science and Numerical Simulation

Research funded by Shandong Province Natural Science Foundation (ZR2023MA086) | National Natural Science Foundation of China (11871312,12131014)

Authors: Caijie Yang | Hongfei Fu | Tongjun Sun

Fractal quintic spline solutions for singularly perturbed reaction-diffusion boundary-value problems

JOURNAL ARTICLE published August 2024 in Applied Numerical Mathematics

Authors: N. Balasubramani | M. Guru Prem Prasad | S. Natesan

An improved splitting algorithm for unsteady generalized Newtonian fluid flow problems with natural boundary conditions

JOURNAL ARTICLE published August 2024 in Computers & Mathematics with Applications

Authors: Anouar Obbadi | Mofdi El-Amrani | Mohammed Seaid | Driss Yakoubi

Numerical analysis of a history-dependent mixed hemivariational-variational inequality in contact problems

JOURNAL ARTICLE published July 2024 in Computers & Mathematics with Applications

Research funded by Horizon 2020 (823731) | China Postdoctoral Science Foundation (2022M720262) | Simons Foundation (850737)

Authors: Min Ling | Wenqiang Xiao | Weimin Han

Numerical analysis and simulation of European options under liquidity shocks: A coupled semilinear system approach with new IMEX methods

JOURNAL ARTICLE published July 2024 in Computers & Mathematics with Applications

Authors: Ankit Singh | Vikas Maurya | Manoj K. Rajpoot

Residual-based a posteriori error estimation for mixed virtual element methods

JOURNAL ARTICLE published July 2024 in Computers & Mathematics with Applications

Authors: Mauricio Munar | Andrea Cangiani | Iván Velásquez

A higher order numerical method for singularly perturbed elliptic problems with characteristic boundary layers

JOURNAL ARTICLE published July 2024 in Applied Numerical Mathematics

Authors: A.F. Hegarty | E. O'Riordan

Training RBF neural networks for solving nonlinear and inverse boundary value problems

JOURNAL ARTICLE published July 2024 in Computers & Mathematics with Applications

Research funded by Poznan University of Technology (0612/SBAD/3588)

Authors: Malgorzata A. Jankowska | Andreas Karageorghis | C.S. Chen

Arrowhead Factorization of Real Symmetric Matrices and its Applications in Optimized Eigendecomposition

PROCEEDINGS ARTICLE published 3 June 2024 in Proceedings of the Platform for Advanced Scientific Computing Conference

Authors: Marcel Ferrari | Francesco Cavalli | Hussein Harake | Christopher Lompa | Nicola Lo Russo

Reducing the Impact of I/O Contention in Numerical Weather Prediction Workflows at Scale Using DAOS

PROCEEDINGS ARTICLE published 3 June 2024 in Proceedings of the Platform for Advanced Scientific Computing Conference

Research funded by DE3100 (3320)

Authors: Nicolau Manubens | Simon D. Smart | Emanuele Danovaro | Tiago Quintino | Adrian Jackson

Hybrid Multi-GPU Distributed Octrees Construction for Massively Parallel Code Coupling Applications

PROCEEDINGS ARTICLE published 3 June 2024 in Proceedings of the Platform for Advanced Scientific Computing Conference

Authors: Robin Cazalbou | Florent Duchaine | Eric Quémerais | Bastien Andrieu | Gabriel Staffelbach | Bruno Maugars

PETScML: Second-Order Solvers for Training Regression Problems in Scientific Machine Learning

PROCEEDINGS ARTICLE published 3 June 2024 in Proceedings of the Platform for Advanced Scientific Computing Conference

Authors: Stefano Zampini | Umberto Zerbinati | George Turkyyiah | David Keyes

Leveraging the High Bandwidth of Last-Level Cache for HPC Seismic Imaging Applications

PROCEEDINGS ARTICLE published 3 June 2024 in Proceedings of the Platform for Advanced Scientific Computing Conference

Authors: Pavel Plotnitskii | Louis Beaurepaire | Long Qu | Kadir Akbudak | Hatem Ltaief | David Elliot Keyes

Efficient Parallel Strategies For Conjugate Heat Transfer Problems

PROCEEDINGS ARTICLE published 3 June 2024 in Proceedings of the Platform for Advanced Scientific Computing Conference

Research funded by Generalitat de Catalunya (SGR-Cat 2021) | European Fund for Regional Development (001-P-001722)

Authors: Guillaume Houzeaux | Simon Santoso | Marta Garcia-Gasulla | Cristóbal Samaniego | Hadrien Calmet

Numerical method for boundary value problems on the real line

JOURNAL ARTICLE published June 2024 in Applied Numerical Mathematics

Research funded by Gruppo Nazionale per il Calcolo Scientifico (2022)

Authors: Maria Carmela De Bonis | Valeria Sagaria