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Source: paper_references, paper_reference_links, observed 2026-08-07T11:49:01.393430Z
Paper Citation Record · LEDGER
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems
As of 7 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2506.01644.
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Reference resolution
47 of 47 outbound references displayed
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Outbound references
Observation 03619c33-26e3-45b5-ace0-38cf4a0f4089 · outbound
This paper cites Multilevel Monte Carlo path simulation,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Multilevel Monte Carlo path simulation,
Reference 1
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Observation e40b3e12-2160-4aac-ad7d-31760b5f9ad4 · outbound
This paper cites Multilevel Monte Carlo methods,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Multilevel Monte Carlo methods,
Reference 2
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3030a44f-b7ba-4523-ae10-fb819c19d782 · outbound
This paper cites Multilevel Monte Carlo Finite Element Method for elliptic PDEs with stochastic coefficients,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Multilevel Monte Carlo Finite Element Method for elliptic PDEs with stochastic coefficients,
Reference 3
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Observation 14381ffa-6cf2-47e3-92e2-f207da9696ca · outbound
This paper cites Finite element error analysis of elliptic PDEs with random coefficients and its application to multilevel Monte Carlo methods,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Finite element error analysis of elliptic PDEs with random coefficients and its application to multilevel Monte Carlo methods,
Reference 4
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Unavailable: canonical work link unavailable.
Observation 6f38294f-a8ab-4b2a-bc0f-13fc28f2bc01 · outbound
This paper cites Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients,
Reference 5
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Observation 84854772-18a1-47e2-abf9-8d116a630299 · outbound
This paper cites Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients,
Reference 6
- Resolution
- unresolved
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Observation bafbda09-a83e-4519-8fc1-7787fe59f453 · outbound
This paper cites Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions,
Reference 7
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b3dc5957-0b80-469d-a66b-277f5875b173 · outbound
This paper cites Multi-level Monte Carlo finite volume methods for uncertainty quantification of acoustic wave propagation in random heterogeneous layered medium,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Multi-level Monte Carlo finite volume methods for uncertainty quantification of acoustic wave propagation in random heterogeneous layered medium,
Reference 8
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5b49641e-b07c-44cc-96cb-2de2274528d7 · outbound
This paper cites Convergence analysis of multilevel monte carlo variance estimators and appli- cation for random obstacle problems,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Convergence analysis of multilevel monte carlo variance estimators and appli- cation for random obstacle problems,
Reference 9
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0cee1b2e-a872-47e6-9072-1ced6a97da3c · outbound
This paper cites Estimation of arbitrary order central statistical moments by the multilevel monte carlo method,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Estimation of arbitrary order central statistical moments by the multilevel monte carlo method,
Reference 10
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 598f7b69-56e6-41ef-b793-13e3b9970823 · outbound
This paper cites A fully parallelized and budgeted multilevel monte carlo method and the application to acoustic waves,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems A fully parallelized and budgeted multilevel monte carlo method and the application to acoustic waves,
Reference 11
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02c47d47-90d1-4c7e-984f-42891eefdd88 · outbound
This paper cites A continuation multilevel Monte Carlo algorithm,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems A continuation multilevel Monte Carlo algorithm,
Reference 12
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0e86a40-5f03-4e04-81ac-0b4be8e18eff · outbound
This paper cites Multilevel Monte Carlo methods,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Multilevel Monte Carlo methods,
Reference 13
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 96d99b18-1e50-4f2c-b148-c3f4d8c05ab1 · outbound
This paper cites On multilevel best linear unbiased estimators,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems On multilevel best linear unbiased estimators,
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:49:08.444983Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2eb1b626-8a4c-443c-9bfd-9f35fb8728b6 · outbound
This paper cites Survey of multifidelity methods in uncertainty propa- gation, inference, and optimization,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Survey of multifidelity methods in uncertainty propa- gation, inference, and optimization,
Reference 15
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 85936f6d-d975-45e0-ba2c-4db69e8f4e0b · outbound
This paper cites Algorithms for computing the sample variance: analysis and recommendations,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Algorithms for computing the sample variance: analysis and recommendations,
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:49:07.844335Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e3063dfe-06f0-4780-95d4-d7696bc90b67 · outbound
This paper cites Note on a method for calculating corrected sums of squares and products,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Note on a method for calculating corrected sums of squares and products,
Reference 17
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0d5b65a0-8a75-4e24-b9b1-cbee82ecdcee · outbound
This paper cites Numerically stable, scalable formulas for parallel and online computation of higher-order multivariate central moments with arbitrary weights,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Numerically stable, scalable formulas for parallel and online computation of higher-order multivariate central moments with arbitrary weights,
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:49:07.342714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3cdf3ab6-8661-41ca-a422-221bb0f82ae6 · outbound
This paper cites Improved efficiency of a multi-index FEM for computational uncer- tainty quantification,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Improved efficiency of a multi-index FEM for computational uncer- tainty quantification,
Reference 19
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b35c4e95-f6c3-41c2-9ed5-7f8cd366ec65 · outbound
This paper cites Multi-index Monte Carlo: when sparsity meets sampling,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Multi-index Monte Carlo: when sparsity meets sampling,
Reference 20
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 926256c6-bc1d-4827-ac3a-77f786ea6a8c · outbound
This paper cites Multilevel and multi-index Monte Carlo methods for the McKean-Vlasov equation,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Multilevel and multi-index Monte Carlo methods for the McKean-Vlasov equation,
Reference 21
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e6d11c35-c7a9-4057-88ee-099f71d3a4e3 · outbound
This paper cites Sparse grids,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Sparse grids,
Reference 22
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bef064ca-a514-4024-b389-d3e979d24b0e · outbound
This paper cites The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods,
Reference 23
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ce99b214-3845-4072-baab-97c8c2a49590 · outbound
This paper cites A multigrid multilevel Monte Carlo method for transport in the Darcy-Stokes system,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems A multigrid multilevel Monte Carlo method for transport in the Darcy-Stokes system,
Reference 24
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b158ccf0-d43c-4f08-a6b3-32fbfeae68c7 · outbound
This paper cites Multilevel Monte Carlo for two phase flow and Buckley-Leverett transport in random heterogeneous porous media,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Multilevel Monte Carlo for two phase flow and Buckley-Leverett transport in random heterogeneous porous media,
Reference 25
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bf119018-72d0-4898-8135-cf0d591d1d00 · outbound
This paper cites An explicit link between gaussian fields and gaussian markov random fields: the stochastic partial differential equation approach,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems An explicit link between gaussian fields and gaussian markov random fields: the stochastic partial differential equation approach,
Reference 26
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c37fb79-f8f8-4024-b00f-6cf033ad09e5 · outbound
This paper cites Dirichlet-Neumann Averaging: The DNA of Efficient Gaussian Process Simulation.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Dirichlet-Neumann Averaging: The DNA of Efficient Gaussian Process Simulation
Reference 27
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 23a042be-6d3b-4e25-933f-155c377753b4 · outbound
This paper cites hp-multilevel monte carlo methods for uncertainty quantification of compressible navier–stokes equations,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems hp-multilevel monte carlo methods for uncertainty quantification of compressible navier–stokes equations,
Reference 28
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 58a99fb8-7d09-46f3-b5e0-7a395762900e · outbound
This paper cites Flexi: A high order discontinuous galerkin framework for hyperbolic–parabolic con- servation laws,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Flexi: A high order discontinuous galerkin framework for hyperbolic–parabolic con- servation laws,
Reference 29
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 426af0bc-2cbf-406a-acfe-bdf56b3af0a0 · outbound
This paper cites A statistical framework for generating microstructures of two-phase random materials: application to fatigue analysis,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems A statistical framework for generating microstructures of two-phase random materials: application to fatigue analysis,
Reference 30
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9cf8b3d0-c30f-4b40-8fc9-9883b4663dfd · outbound
This paper cites Finite elements for mat´ ern-type random fields: Uncertainty in computational mechanics and design optimization,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Finite elements for mat´ ern-type random fields: Uncertainty in computational mechanics and design optimization,
Reference 31
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 35058a09-33bb-42c4-8ec5-b9c1c24b412d · outbound
This paper cites A stochastic gradient method with mesh refinement for PDE-constrained optimization under uncertainty,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems A stochastic gradient method with mesh refinement for PDE-constrained optimization under uncertainty,
Reference 32
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 44bec246-dbb2-4009-9451-d9c5ac49a6d1 · outbound
This paper cites Complexity analysis of stochastic gradient methods for PDE- constrained optimal control problems with uncertain parameters,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Complexity analysis of stochastic gradient methods for PDE- constrained optimal control problems with uncertain parameters,
Reference 33
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fcac0918-a4cf-4c2c-b109-f3502d9d31fb · outbound
This paper cites Mpp 3.4.1,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Mpp 3.4.1,
Reference 34
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2282f8e0-bae2-4605-86bf-f6b1955b6f24 · outbound
This paper cites Baumgarten, A Fully Parallelized and Budgeted Multi-level Monte Carlo Framework for Partial Differential Equations.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Baumgarten, A Fully Parallelized and Budgeted Multi-level Monte Carlo Framework for Partial Differential Equations
Reference 35
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a655340-03d0-4ae8-8fe3-7c4d6fa72c86 · outbound
This paper cites A filtered multilevel monte carlo method for estimating the expectation of discretized random fields,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems A filtered multilevel monte carlo method for estimating the expectation of discretized random fields,
Reference 36
- Resolution
- verified exact
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7f99e42c-f7ea-4748-b7b2-38ef2c9d05f2 · outbound
This paper cites Application of hierarchical matrices for computing the Karhunen–Lo` eve expansion,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Application of hierarchical matrices for computing the Karhunen–Lo` eve expansion,
Reference 37
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 30f420be-5c81-4c52-9bfb-84972cd2745f · outbound
This paper cites Karhunen–lo` eve approximation of random fields by generalized fast multipole methods,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Karhunen–lo` eve approximation of random fields by generalized fast multipole methods,
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:49:04.249532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 02d5f2a8-66e1-4f1f-98d2-6ec8e6a8d062 · outbound
This paper cites On the low-rank approximation by the pivoted cholesky decomposition,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems On the low-rank approximation by the pivoted cholesky decomposition,
Reference 39
- Resolution
- verified fuzzy
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9763e8e5-fd34-47c5-827f-9a2844112ddf · outbound
This paper cites Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix,
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:49:03.666570Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 816fadef-021d-4c4e-a08e-a2706fc21f38 · outbound
This paper cites Unified analysis of periodization-based sampling methods for mat´ ern covariances,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Unified analysis of periodization-based sampling methods for mat´ ern covariances,
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:49:03.409409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ccdf8e77-ec70-434d-8222-f72c8d542b30 · outbound
This paper cites Efficient white noise sampling and coupling for multilevel monte carlo with nonnested meshes,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Efficient white noise sampling and coupling for multilevel monte carlo with nonnested meshes,
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:49:03.169759Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6508ba09-7582-440c-8d2d-24d682f3725c · outbound
This paper cites Analysis of boundary effects on pde-based sampling of whittle–matern random fields,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Analysis of boundary effects on pde-based sampling of whittle–matern random fields,
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:49:02.963838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 70dff636-1edb-41de-bc9a-b60fadb5ec10 · outbound
This paper cites Numerical solution of fractional elliptic stochastic pdes with spatial white noise,.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Numerical solution of fractional elliptic stochastic pdes with spatial white noise,
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:49:02.690976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 967ff2ff-0014-4765-8659-52a6370062f4 · outbound
This paper cites Boffi, F.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Boffi, F
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:49:02.441072Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9281afae-f7ba-4e72-98a5-c75a33454aab · outbound
This paper cites Hochbruck, T.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Hochbruck, T
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:49:02.222489Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 10cf66bf-a598-4a53-b377-4f93510cb5df · outbound
This paper cites an unresolved cited work.
A Budgeted Multi-Level Monte Carlo Method for Full Field Estimates of Multi-PDE Problems Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:49:01.945879Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.