Cover Image

Spatial discretization of partial differential equations with integrals

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	McLachlan, Robert I
Format:	Preprint
Published:	1998
Subjects:	Numerical Analysis Dynamical Systems
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Area preservation in computational fluid dynamics
by: McLachlan, Robert I
Published: (1999)

Numerical integrators that contract volume
by: McLachlan, Robert I, et al.
Published: (1998)

Lie group foliations: Dynamical systems and integrators
by: McLachlan, Robert I., et al.
Published: (2002)

A step towards holistic discretisation of stochastic partial differential equations
by: Roberts, A. J.
Published: (2003)

Measure preservation and integrals for Lotka--Volterra tree-systems and their Kahan discretisation
by: van der Kamp, Peter H., et al.
Published: (2023)

Dynamic mode decomposition as an analysis tool for time-dependent partial differential equations
by: Rot, Miha, et al.
Published: (2022)

Structure-preserving space discretization of differential and nonlocal constitutive relations for port-Hamiltonian systems
by: Bendimerad-Hohl, Antoine, et al.
Published: (2025)

Spatially dependent node regularity in meshless approximation of partial differential equations
by: Rot, Miha, et al.
Published: (2024)

Unconditionally stable symplectic integrators for the Navier-Stokes equations and other dissipative systems
by: Sungkeetanon, Sutthikiat, et al.
Published: (2024)

Long-time relative error analysis for linear ordinary differential equations with perturbed initial value
by: Maset, Stefano
Published: (2025)

Functional equivariance and conservation laws in numerical integration
by: McLachlan, Robert I., et al.
Published: (2021)

Existence and uniqueness for the solutions of non-autonomous stochastic differential algebraic equations with locally Lipschitz coefficients
by: Serea, Oana Silvia, et al.
Published: (2024)

Extensive Database of Spatial Ballistic Captures with Application to Lunar Trailblazer
by: Anoè, Lorenzo, et al.
Published: (2025)

Antisymmetry, pseudospectral methods, and conservative PDEs
by: McLachlan, Robert, et al.
Published: (1999)

Lyapunov exponents of renewal equations: numerical approximation and convergence analysis
by: Breda, Dimitri, et al.
Published: (2024)

A new approach to integrals of discretizations by polarization
by: Suris, Yuri B.
Published: (2023)

A practical approach to computing Lyapunov exponents of renewal and delay equations
by: Breda, Dimitri, et al.
Published: (2023)

Uncertainty quantification analysis of bifurcations of the Allen--Cahn equation with random coefficients
by: Kuehn, Christian, et al.
Published: (2024)

Numerical approximation of the Koopman-von Neumann equation: Operator learning and quantum computing
by: Klus, Stefan, et al.
Published: (2026)

Robust high-order low-rank BUG integrators based on explicit Runge--Kutta methods
by: Nobile, Fabio, et al.
Published: (2025)

Validated integration of semilinear parabolic PDEs
by: Berg, Jan Bouwe van den, et al.
Published: (2023)

Data-driven approximation of transfer operators for mean-field stochastic differential equations
by: Ioannou, Eirini, et al.
Published: (2025)

A simple rigorous integrator for semilinear parabolic PDEs
by: Berg, Jan Bouwe van den, et al.
Published: (2026)

Equilibrium-distribution-function based mesoscopic finite-difference methods for partial differential equations: Modeling and Analysis
by: shi, Baochang, et al.
Published: (2025)

Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equations
by: McGreivy, Nick, et al.
Published: (2024)

Optimum dimensional synthesis of planar mechanisms with geometric constraints
by: Garcia-Marina, V., et al.
Published: (2024)

Using nodal coordinates as variables for the dimensional synthesis of mechanisms
by: Garcia-Marina, V., et al.
Published: (2024)

Euler--Poincaré reduction and the Kelvin--Noether theorem for discrete mechanical systems with advected parameters and additional dynamics
by: Ono, Yusuke, et al.
Published: (2025)

Continuation for Nonlinear Elliptic Partial Differential Equations Discretized by the Multiquadric Method
by: Fedoseyev, A. I., et al.
Published: (1998)

Orthonormal integrators based on Householder and Givens transformations
by: Dieci, Luca, et al.
Published: (2000)

Transforming Norm-based To Graph-based Spatial Representation for Spatio-Temporal Epidemiological Models
by: Lazebnik, Teddy
Published: (2024)

Variational integrators for stochastic Hamiltonian systems on Lie groups: properties and convergence
by: Gay-Balmaz, François, et al.
Published: (2024)

Kernel Methods for the Construction of Certified Lyapunov Functions via Approximate Koopman Eigenfunctions
by: Giesl, P., et al.
Published: (2026)

Generalized Chebyshev Acceleration
by: Gökgöz, Nurgül
Published: (2025)

A CFL-type Condition and Theoretical Insights for Discrete-Time Sparse Full-Order Model Inference
by: Gkimisis, Leonidas, et al.
Published: (2025)

Parallelized computation of quasi-periodic solutions for finite element problems: A Fourier series expansion-based shooting method
by: Wu, Junqing, et al.
Published: (2025)

Polynomial root-finding algorithms and branched covers
by: Kim, Myong-Hi, et al.
Published: (1991)

Direct Finite-Time Contraction (Step-Log) Profiling--Driven Optimization of Parallel Schemes for Nonlinear Problems on Multicore Architectures
by: Shams, Mudassir, et al.
Published: (2026)

Torus Time-Spectral Method for Quasi-Periodic Problems
by: He, Sicheng, et al.
Published: (2025)

Embedding Method by Real Numerical Algebraic Geometry for Structurally Unamenable Differential-Algebraic Equations
by: Yang, Wenqiang, et al.
Published: (2021)