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A Practical Walk-on-Boundary Method for Boundary Value Problems
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-540-74496-2_38openalex-snapshot
Walk-on-Spheres Algorithm for Solving Boundary-Value Problems with Continuity Flux Conditions
inferredcites →https://doi.org/10.1016/j.aml.2016.09.008openalex-snapshot
Walk-on-spheres algorithm for solving third boundary value problem
inferredcites →https://doi.org/10.1016/j.enganabound.2012.02.003openalex-snapshot
Stochastic Boundary Methods of Fundamental Solutions for solving PDEs
inferredcites →https://doi.org/10.1023/b:engi.0000031193.39633.d8openalex-snapshot
A fundamental solution for linear second-order elliptic systems with variable coefficients
inferredcites →https://doi.org/10.1109/tvcg.2003.1207441openalex-snapshot
Adjoints and importance in rendering: An overview
inferredcites →https://doi.org/10.1111/1467-8659.00703openalex-snapshot
A Simple and Robust Mutation Strategy for the Metropolis Light Transport Algorithm
inferredcites →https://doi.org/10.1111/cgf.14586openalex-snapshot
A bidirectional formulation for Walk on Spheres
inferredcites →https://doi.org/10.1111/cgf.14625openalex-snapshot
Surface‐Only Dynamic Deformables using a Boundary Element Method
inferredcites →https://doi.org/10.1111/j.1467-8659.2008.01293.xopenalex-snapshot
Polyhedral Finite Elements Using Harmonic Basis Functions
inferredcites →https://doi.org/10.1111/j.1467-8659.2011.01994.xopenalex-snapshot
A Ray Tracing Approach to Diffusion Curves
inferredcites →https://doi.org/10.1115/1.4005491openalex-snapshot
Recent Advances and Emerging Applications of the Boundary Element Method
inferredcites →https://doi.org/10.1145/1141911.1141983openalex-snapshot
Precomputed acoustic transfer
inferredcites →https://doi.org/10.1145/2010324.1964978openalex-snapshot
Guide shapes for high resolution naturalistic liquid simulation
inferredcites →https://doi.org/10.1145/218380.218498openalex-snapshot
Optimally combining sampling techniques for Monte Carlo rendering
inferredcites →https://doi.org/10.1145/2366145.2366210openalex-snapshot
A path space extension for robust light transport simulation
inferredcites →https://doi.org/10.1145/2366145.2366211openalex-snapshot
Light transport simulation with vertex connection and merging
inferredcites →https://doi.org/10.1145/2614106.2614138openalex-snapshot
A zero-variance-based sampling scheme for Monte Carlo subsurface scattering
inferredcites →https://doi.org/10.1145/2766896openalex-snapshot
High-resolution brittle fracture simulation with boundary elements
inferredcites →https://doi.org/10.1145/3072959.3065254openalex-snapshot
Boundary Element Octahedral Fields in Volumes
inferredcites →https://doi.org/10.1145/325165.325169openalex-snapshot
Continuous tone representation of three-dimensional objects taking account of shadows and interreflection
inferredcites →https://doi.org/10.1145/3386569.3392374openalex-snapshot
Monte Carlo geometry processing
inferredcites →https://doi.org/10.1145/3450626.3459809openalex-snapshot
Kelvin transformations for simulations on infinite domains
inferredcites →https://doi.org/10.1145/3528223.3530134openalex-snapshot
Grid-free Monte Carlo for PDEs with spatially varying coefficients
inferredcites →https://doi.org/10.1145/3528223.3530160openalex-snapshot
Unbiased and consistent rendering using biased estimators
inferredcites →https://doi.org/10.1145/3550454.3555450openalex-snapshot
A Monte Carlo Method for Fluid Simulation
inferredcites →https://doi.org/10.1145/3592398openalex-snapshot
Walk on Stars: A Grid-Free Monte Carlo Method for PDEs with Neumann Boundary Conditions
inferredcites →https://doi.org/10.1145/3592400openalex-snapshot
Boundary Value Caching for Walk on Spheres
inferredcites →https://doi.org/10.1145/964965.808601openalex-snapshot
Modeling the interaction of light between diffuse surfaces
inferredcites →https://doi.org/10.1214/aoms/1177728169openalex-snapshot
Some Continuous Monte Carlo Methods for the Dirichlet Problem
inferredcites →https://doi.org/10.1515/9783110942026openalex-snapshot
Random Walks on Boundary for Solving PDEs
inferredcites →https://doi.org/10.1515/mcma.2004.10.3-4.311openalex-snapshot
Parallel Quasirandom Walks on the Boundary
inferredcites →https://doi.org/10.2312/egwr/egsr05/139-146openalex-snapshot
Importance Resampling for Global Illumination
inferredcites →https://doi.org/10.48550/arxiv.2208.02114openalex-snapshot
Solving Inverse PDE Problems using Grid-Free Monte Carlo Estimators
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/s12043-024-02825-zopenalex-snapshot
Taylor wavelet analysis and numerical simulation for boundary value problems of higher order under multiple boundary conditions
inferred← citeshttps://doi.org/10.1016/j.ijheatmasstransfer.2024.126215openalex-snapshot
Enhanced framework for solving general energy equations based on metropolis-hasting Markov chain Monte Carlo
inferred← citeshttps://doi.org/10.1016/j.jcp.2026.115105openalex-snapshot
Walk-on-interfaces: A Monte Carlo estimator for an elliptic interface problem with nonhomogeneous flux jump conditions and a Neumann boundary condition
inferred← citeshttps://doi.org/10.1049/hve2.12468openalex-snapshot
Mesh‐free Monte Carlo method for electrostatic problems with floating potentials
inferred← citeshttps://doi.org/10.1051/e3sconf/202344306002openalex-snapshot
Monte Carlo solution of heat conductivity problems with quadratic nonlinearity on the boundary of domain
inferred← citeshttps://doi.org/10.1109/cbase67452.2025.11335522openalex-snapshot
Monte Carlo Incompressible SPH
inferred← citeshttps://doi.org/10.1109/tmag.2025.3622134openalex-snapshot
Walk-on-Spheres Algorithm for Solving the Poisson Equation in the Presence of Abrupt Material Changes
inferred← citeshttps://doi.org/10.1109/tvcg.2025.3558263openalex-snapshot
Unified Smooth Vector Graphics: Modeling Gradient Meshes and Curve-Based Approaches Jointly as Poisson Problem
inferred← citeshttps://doi.org/10.1109/tvcg.2025.3612190openalex-snapshot
Dynamic Importance Monte Carlo SPH Vortical Flows With Lagrangian Samples
inferred← citeshttps://doi.org/10.1109/tvcg.2025.3617802openalex-snapshot
NAT: Neural Acoustic Transfer for Interactive Scenes in Real Time
inferred← citeshttps://doi.org/10.1111/cgf.70048openalex-snapshot
Inverse Simulation of Radiative Thermal Transport
inferred← citeshttps://doi.org/10.1111/cgf.70275openalex-snapshot
Geometric Integration for Neural Control Variates
inferred← citeshttps://doi.org/10.1145/3592398openalex-snapshot
Walk on Stars: A Grid-Free Monte Carlo Method for PDEs with Neumann Boundary Conditions
inferred← citeshttps://doi.org/10.1145/3641519.3657405openalex-snapshot
Velocity-Based Monte Carlo Fluids
inferred← citeshttps://doi.org/10.1145/3641519.3657460openalex-snapshot
A Differential Monte Carlo Solver For the Poisson Equation
inferred← citeshttps://doi.org/10.1145/3658121openalex-snapshot
From microfacets to participating media: A unified theory of light transport with stochastic geometry
inferred← citeshttps://doi.org/10.1145/3658124openalex-snapshot
An Induce-on-Boundary Magnetostatic Solver for Grid-Based Ferrofluids
inferred← citeshttps://doi.org/10.1145/3658131openalex-snapshot
Stochastic Computation of Barycentric Coordinates
inferred← citeshttps://doi.org/10.1145/3658153openalex-snapshot
Walkin’ Robin: Walk on Stars with Robin Boundary Conditions
inferred← citeshttps://doi.org/10.1145/3658199openalex-snapshot
Lightning-fast Method of Fundamental Solutions
inferred← citeshttps://doi.org/10.1145/3673652openalex-snapshot
A Closest Point Method for PDEs on Manifolds with Interior Boundary Conditions for Geometry Processing
inferred← citeshttps://doi.org/10.1145/3680528.3687599openalex-snapshot
Projected Walk on Spheres: A Monte Carlo Closest Point Method for Surface PDEs
inferred← citeshttps://doi.org/10.1145/3687943openalex-snapshot
Efficient Image-Space Shape Splatting for Monte Carlo Rendering
inferred← citeshttps://doi.org/10.1145/3721238.3730593openalex-snapshot
Guiding-Based Importance Sampling for Walk on Stars
inferred← citeshttps://doi.org/10.1145/3721238.3730674openalex-snapshot
Modeling and Rendering Glow Discharge
inferred← citeshttps://doi.org/10.1145/3721238.3730725openalex-snapshot
Stochastic Barnes-Hut Approximation for Fast Summation on the GPU
inferred← citeshttps://doi.org/10.1145/3721241.3734001openalex-snapshot
State of the Art in Grid-Free Monte Carlo Methods for Partial Differential Equations
inferred← citeshttps://doi.org/10.1145/3730942openalex-snapshot
Conformal First Passage for Epsilon-free Walk-on-Spheres
inferred← citeshttps://doi.org/10.1145/3731152openalex-snapshot
Solving partial differential equations in participating media
inferred← citeshttps://doi.org/10.1145/3731174openalex-snapshot
Unbiased Differential Visibility Using Fixed-Step Walk-on-Spherical-Caps And Closest Silhouettes
inferred← citeshttps://doi.org/10.1145/3731196openalex-snapshot
Lightning-fast Boundary Element Method
inferred← citeshttps://doi.org/10.1145/3757377.3763852openalex-snapshot
Off-Centered WoS-Type Solvers with Statistical Weighting
inferred← citeshttps://doi.org/10.1145/3763333openalex-snapshot
Robust Derivative Estimation with Walk on Stars
inferred← citeshttps://doi.org/10.1145/3811321openalex-snapshot
Monte Carlo PDE Solvers for Nonlinear Radiative Boundary Conditions
inferred← citeshttps://doi.org/10.1145/3811340openalex-snapshot
Walk on Decomposed Subdomains: A Hybrid Monte Carlo–Deterministic Solver for Elliptic PDEs
inferred← citeshttps://doi.org/10.1145/3811366openalex-snapshot
Probe-based Walk on Spheres for Efficient Path Reusing
inferred← citeshttps://doi.org/10.1145/3811397openalex-snapshot
Monte Carlo Rendering of Biharmonic Diffusion Curves
inferred← citeshttps://doi.org/10.1515/mcma-2024-2022openalex-snapshot
Randomized vector algorithm with iterative refinement for solving boundary integral equations
inferred← citeshttps://doi.org/10.1515/mcma-2025-2007openalex-snapshot
A meshfree Random Walk on Boundary algorithm with iterative refinement
inferred← citeshttps://doi.org/10.1515/mcma-2025-2008openalex-snapshot
Combining randomized and deterministic iterative algorithms for high accuracy solution of large linear systems and boundary integral equations
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