Optimized explicit finite-difference schemes for spatial derivatives using maximum norm
Jinhai Zhang,Zhenxing Yao +1 more
TL;DR: The explicit finite-difference operator is greatly improved by the optimized scheme, which allows for tighter error limitation, which is shown to be necessary to avoid rapid error accumulations for simulations on large-scale models with long travel times.
read more
About: This article is published in Journal of Computational Physics. The article was published on 01 Oct 2013. and is currently open access. The article focuses on the topics: Norm (mathematics) & Simulated annealing.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Optimized finite-difference operator for broadband seismic wave modeling
Jinhai Zhang,Zhenxing Yao +1 more
TL;DR: In this article, the authors optimized the constant coefficients of the FD operator by maximizing the wavenumber coverage within a given error limitation, which led to perfect agreement between theoretical analyses and numerical experiments.
Acoustic and elastic modeling by optimal time-space-domain staggered-grid finite-difference schemes
Zhiming Ren,Yang Liu +1 more
TL;DR: In this article, the authors developed novel optimal time-space-domain finite-difference (SFD) schemes for acoustic and elastic-wave-equation modeling, where a fourth-order multiextreme value objective function with respect to FD coefficients was involved.
63
Finite-difference time dispersion transforms for wave propagation
Meixia Wang,Sheng Xu +1 more
TL;DR: In this article, a time dispersion transform is proposed to predict or simulate the time-disparity errors in wave propagation, and it can be applied to remove time-paraphrasing errors in reverse time migration.
59
Adaptive finite difference for seismic wavefield modelling in acoustic media
Gang Yao,Di Wu,H.A. Debens +2 more
TL;DR: A novel scheme for implementing finite difference by introducing a time-to-space wavelet mapping and demonstrating that this method is superior to standard finite difference methods, while comparable to Zhang’s optimised finite difference scheme.
A staggered-grid finite-difference scheme optimized in the time-space domain for modeling scalar-wave propagation in geophysical problems
Sirui Tan,Lianjie Huang +1 more
TL;DR: This work develops a novel optimized finite-difference scheme for numerical scalar-wave modeling to control dispersion errors not only in space but also in time, and is particularly useful for large-scale 3D scalar -wave modeling and inversion.
47
References
Optimization by Simulated Annealing
TL;DR: There is a deep and useful connection between statistical mechanics and multivariate or combinatorial optimization (finding the minimum of a given function depending on many parameters), and a detailed analogy with annealing in solids provides a framework for optimization of very large and complex systems.
46.9K
•Book
Genetic Algorithms
David E. Goldberg,William Shakespeare +1 more
- 01 Jan 2002
TL;DR: The present work expresses the problem as a multi-objective optimization problem and a methodology has been proposed based on multi-objective genetic algo-rithm (MOGA) that exploits the effectiveness of MOGA for searching global optimal solutions in selecting an appropriate image enhancement operator.
17.1K
A new optimizer using particle swarm theory
Russell C. Eberhart,James Kennedy +1 more
- 04 Oct 1995
TL;DR: The optimization of nonlinear functions using particle swarm methodology is described and implementations of two paradigms are discussed and compared, including a recently developed locally oriented paradigm.
16.4K
•Book
Discrete-Time Signal Processing
Alan V. Oppenheim,Ronald W. Schafer +1 more
- 01 Jan 1989
TL;DR: In this paper, the authors provide a thorough treatment of the fundamental theorems and properties of discrete-time linear systems, filtering, sampling, and discrete time Fourier analysis.
11.8K
•Book
Inverse Problem Theory and Methods for Model Parameter Estimation
Albert Tarantola
- 20 Dec 2004
TL;DR: This chapter discusses Monte Carol methods, the least-absolute values criterion and the minimax criterion, and their applications to functional inverse problems.