References & Citations
Mathematics > Numerical Analysis
Title: NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia
(Submitted on 25 Mar 2024 (v1), last revised 28 Mar 2024 (this version, v2))
Abstract: Efficiently solving nonlinear equations underpins numerous scientific and engineering disciplines, yet scaling these solutions for complex system models remains a challenge. This paper presents NonlinearSolve.jl - a suite of high-performance open-source nonlinear equation solvers implemented natively in the Julia programming language. NonlinearSolve.jl distinguishes itself by offering a unified API that accommodates a diverse range of solver specifications alongside features such as automatic algorithm selection based on runtime analysis, support for GPU-accelerated computation through static array kernels, and the utilization of sparse automatic differentiation and Jacobian-free Krylov methods for large-scale problem-solving. Through rigorous comparison with established tools such as Sundials and MINPACK, NonlinearSolve.jl demonstrates unparalleled robustness and efficiency, achieving significant advancements in solving benchmark problems and challenging real-world applications. The capabilities of NonlinearSolve.jl unlock new potentials in modeling and simulation across various domains, making it a valuable addition to the computational toolkit of researchers and practitioners alike.
Submission history
From: Avik Pal [view email][v1] Mon, 25 Mar 2024 00:31:21 GMT (4909kb,D)
[v2] Thu, 28 Mar 2024 14:04:45 GMT (4910kb,D)
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