Search Results - finite volume methods for initial value AND initial-boundary value problems involving press

A Data-Driven Reconstruction for Unstructured Finite Volume Method on Multi-Dimensional Compressible Flows: A data-driven reconstruction for unstructured finite volume method on multi-dimensional compressible flows

Authors: Joo, Jayeon Kim, Dongseok You, Hojun et al.

Source: Communications in Computational Physics. 36:1307-1338

Subject Terms: machine learning, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Learning and adaptive systems in artificial intelligence, tree model, shock-capturing method, Gas dynamics (general theory), Finite volume methods applied to problems in fluid mechanics, fully-connected neural network, Artificial neural networks and deep learning

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Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws: Approximating numerical fluxes using Fourier neural operators for hyperbolic conservation laws

Authors: Kim, Taeyoung Kang, Myungjoo

Source: Communications in Computational Physics. 37:420-456

Subject Terms: FOS: Computer and information sciences, Computer Science - Machine Learning, scientific machine learning, numerical analysis, Numerical Analysis (math.NA), PDE, neural operator, Machine Learning (cs.LG), Finite volume methods for initial value and initial-boundary value problems involving PDEs, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, FNO, Mathematics - Numerical Analysis, conservation laws, Artificial neural networks and deep learning

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Access URL: http://arxiv.org/abs/2401.01783
https://zbmath.org/8033882
https://doi.org/10.4208/cicp.oa-2024-0123

An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations: An efficient second-order finite volume ADI method for nonlinear three-dimensional space-fractional reaction-diffusion equations

Authors: Zhang, Bingyin Fu, Hongfei Liang, Xueting et al.

Source: Advances in Applied Mathematics and Mechanics. 14:1400-1432

Subject Terms: Iterative numerical methods for linear systems, convergence, Finite volume methods for boundary value problems involving PDEs, finite volume method, Fractional partial differential equations, 01 natural sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, efficient implementation, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Fractional derivatives and integrals, Finite difference methods for initial value and initial-boundary value problems involving PDEs, nonlinear space-fractional reaction-diffusion equation, ADI, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

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Derivation and travelling wave analysis of phenotype-structured haptotaxis models of cancer invasion

Authors: Tommaso Lorenzi Fiona R. Macfarlane Kevin J. Painter et al.

Contributors: Tommaso Lorenzi Fiona R. Macfarlane Kevin J. Painter et al.

Source: European Journal of Applied Mathematics, Vol 36, Pp 231-263 (2025)

Subject Terms: 0301 basic medicine, Cell biology, haptotaxis models of cancer invasion, PDEs in connection with biology, chemistry and other natural sciences, T-NDAS, 35Q92, Haptotaxis models of cancer invasion, Individual-based models, partial integro-differential equations, travelling wave analysis, phenotypic diversity, 92B05, Traveling wave solutions, 03 medical and health sciences, Mathematics - Analysis of PDEs, SDG 3 - Good Health and Well-being, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Phenotypic diversity, QA1-939, FOS: Mathematics, QA Mathematics, QA, Computational methods for problems pertaining to biology, individual-based models, 0303 health sciences, Asymptotic behavior of solutions to PDEs, 35C07, 92C17, 3. Good health, Integro-partial differential equations, Population dynamics (general), Partial integro-differential equation, Cell movement (chemotaxis, etc.), Travelling wave analysis, 92-08, Mathematics, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2310.19933
https://doaj.org/article/7a43bb723cfa4888ad7c15d7fa310dd5
https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/derivation-and-travelling-wave-analysis-of-phenotypestructured-haptotaxis-models-of-cancer-invasion/8A17BBEA6440D62018671D21C896B256
https://doi.org/10.1017/s0956792524000056
https://hdl.handle.net/11583/2986662
https://hdl.handle.net/10023/29385

New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation: New conservative finite volume element schemes for the modified regularized long wave equation

Authors: Zhiyue Zhang Jinliang Yan Zhilin Li et al.

Source: Advances in Applied Mathematics and Mechanics. 9:250-271

Subject Terms: finite volume element method, Solitary waves in solid mechanics, Finite volume methods for boundary value problems involving PDEs, momentum, 16. Peace & justice, 01 natural sciences, 7. Clean energy, MRLW equation, Finite volume methods for initial value and initial-boundary value problems involving PDEs, 13. Climate action, Finite volume methods applied to problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, mass, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with mechanics of deformable solids, 10. No inequality, energy

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Access URL: https://zbmath.org/7407125
https://doi.org/10.4208/aamm.2014.m888
https://www.cambridge.org/core/journals/advances-in-applied-mathematics-and-mechanics/article/new-conservative-finite-volume-element-schemes-for-the-modified-regularized-long-wave-equation/765D2316A470B9147EDE2C3182BE6DC5
https://ir.nctu.edu.tw:443/handle/11536/133132
https://scholar.nctu.edu.tw/en/publications/newconservative-finite-volume-element-schemes-for-themodified-reg

Comparison between \textit{a priori} and \textit{a posteriori} slope limiters for high-order finite volume schemes

Authors: Palafoutas, Jonathan Velasco Romero, David A. Teyssier, Romain

Subject Terms: Finite volume methods for initial value and initial-boundary value problems involving PDEs, a priori slope limiters, MUSCL schemes, maximum principle preservation, finite volume schemes, hyperbolic conservation laws, a posteriori slope limiters, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, explicit Runge-Kutta methods

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Access URL: https://zbmath.org/7986828

A parallel, load-balanced MHD code on locally-adapted, unstructured grids in 3d.

Authors: Andreas Dedner Christian Rohde Bernhard Schupp et al.

Source: Computing & Visualization in Science; Sep2004, Vol. 7 Issue 2, p79-96, 18p

Subject Terms: BOUNDARY value problems, EXPONENTIAL functions, GRIDS (Cartography), MAGNETOHYDRODYNAMICS

A SURVEY AND COMPARATIVE ANALYSIS OF DIFFERENT APPROACHES TO FUZZY DIFFERENTIAL EQUATIONS MODELING DYNAMICS WITH UNCERTAIN PARAMETERS OF DETERMINISTIC CHARACTER.

Authors: GASILOV, NIZAMI A. AMRAHOV, ŞAHIN EMRAH

Source: Kybernetika; 2025, Vol. 61 Issue 3, p289-347, 59p

Subject Terms: INITIAL value problems, BOUNDARY value problems, MATHEMATICAL models, FUZZY systems, PROBLEM solving, UNCERTAINTY (Information theory), FUZZY mathematics

Internal symmetry to the rescue: well-posed 1 + 1 evolution of self-interacting vector fields.

Authors: Gómez, Gabriel Rodríguez, José F.

Source: European Physical Journal C -- Particles & Fields; Aug2025, Vol. 85 Issue 8, p1-18, 18p

Subject Terms: VECTOR fields, INITIAL value problems, NONABELIAN groups, MAGNETIC monopoles, NUMERICAL calculations, GAUGE symmetries, DYNAMIC stability

Polynomial Solutions of Electric Field Equations in Anisotropic Media.

Authors: Altunkaynak, Meltem

Source: Manas Journal of Engineering; Jun2024, Vol. 12 Issue 1, p77-87, 11p

Subject Terms: ELECTRIC fields, INITIAL value problems, PARTIAL differential equations, THEORY of wave motion, ELECTRIC waves, ANISOTROPY

ANALYSIS OF A MULTISCALE INTERFACE PROBLEM BASED ON THE COUPLING OF PARTIAL AND ORDINARY DIFFERENTIAL EQUATIONS TO MODEL TISSUE PERFUSION.

Authors: BOCIU, LORENA BROUSSARD, MATTHEW GUIDOBONI, GIOVANNA et al.

Source: Multiscale Modeling & Simulation; 2025, Vol. 23 Issue 1, p1-24, 24p

Subject Terms: INITIAL value problems, ORDINARY differential equations, BOUNDARY value problems, PARTIAL differential equations, BLOOD circulation

The analytic extension of solutions to initial-boundary value problems outside their domain of definition.

Authors: Farkas, Matthew Cisneros, Jorge Deconinck, Bernard

Source: IMA Journal of Applied Mathematics; Feb2023, Vol. 88 Issue 1, p152-212, 61p

Subject Terms: DEFINITIONS, PROBLEM solving

Computational optimization in solving the geodetic boundary value problems.

Authors: Macák, Marek Čunderlík, Róbert Mikula, Karol et al.

Source: Discrete & Continuous Dynamical Systems - Series S; Mar2021, Vol. 14 Issue 3, p987-999, 13p

Subject Terms: BOUNDARY value problems, FINITE volume method, PARTIAL differential equations, DOMAIN decomposition methods, GEODESICS

Destruction of solutions for class of wave p(x)-bi-Laplace equation with nonlinear dissipation.

Authors: Zennir, Khaled Beniani, Abderrahmane Bochra, Belhadji et al.

Source: AIMS Mathematics; 2023, Vol. 8 Issue 1, p285-294, 10p

Subject Terms: LAPLACE'S equation, ENERGY dissipation, INITIAL value problems, BLOWING up (Algebraic geometry), SOBOLEV spaces

Quadratic finite volume element method for the improved Boussinesq equation.

Authors: Zhang, Zhiyue lu, Fuqiang

Source: Journal of Mathematical Physics; Jan2012, Vol. 53 Issue 1, p013505, 18p, 2 Charts, 10 Graphs

Subject Terms: FINITE volume method, DISCRETE systems, PARTIAL differential equations, NONLINEAR systems, APPROXIMATION theory, PROBLEM solving, APPLIED mathematics

Modeling binary alloy solidification by a random projection method.

Authors: Carpy, Sabrina Mathis, Hélène

Source: Numerical Methods for Partial Differential Equations; Mar2019, Vol. 35 Issue 2, p733-760, 28p

Subject Terms: RANDOM projection method, VOLTERRA equations, FINITE element method, GALERKIN methods, BOUNDARY value problems

Existence and uniqueness results for a class of nonlocal conservation laws by means of a Lax–Hopf-type solution formula.

Authors: Keimer, Alexander Singh, Manish Veeravalli, Tanya

Source: Journal of Hyperbolic Differential Equations; Dec2020, Vol. 17 Issue 4, p677-705, 29p

Subject Terms: CONSERVATION laws (Mathematics), CONSERVATION laws (Physics), INITIAL value problems, BOUNDARY value problems, HAMILTON-Jacobi equations

A spacetime formulation for unsteady aerodynamics with geometry and topology changes.

Authors: Flamarique Ederra, I. Rendall, T. C. S. Gaitonde, A. L. et al.

Source: Aeronautical Journal; Oct2022, Vol. 126 Issue 1304, p1771-1800, 30p

Stochastic pseudo-parabolic equations with fractional derivative and fractional Brownian motion.

Authors: Thach, Tran Ngoc Tuan, Nguyen Huy

Source: Stochastic Analysis & Applications; 2022, Vol. 40 Issue 2, p328-351, 24p

Subject Terms: WIENER processes, BROWNIAN motion, INITIAL value problems, EQUATIONS, FRACTIONAL calculus

GLOBAL SOLUTIONS OF THE NERNST--PLANCK--EULER EQUATIONS.

Authors: IGNATOVA, MIHAELA JINGYANG SHU

Source: SIAM Journal on Mathematical Analysis; 2021, Vol. 53 Issue 5, p5507-5547, 41p

Subject Terms: INITIAL value problems, EULER equations, STOKES equations, VORTEX motion