Fetching the paper…
Reading the bibliography…
The finite element method is used to approximately solve boundary value problems for differential equations.
Quantum detection and estimation theory
C. W. Helstrom · 1976
Earlier work this paper cites.
The Finite Element Method for Elliptic Problems
P.G. Ciarlet · 1978
Earlier work this paper cites.
A general two-dimensional, graphical finite element preprocessor utilizing discrete transfinite mappings
R. Haber, M. S. Shephard, J. F. Abel, R. H. Gallagher, and D. P. Greenberg · 1981
Earlier work this paper cites.
The h-p version of the finite element method
B. Guo and I. Babuška · 1986
Earlier work this paper cites.
On the Conditioning of Finite Element Equations with Highly Refined Meshes
R. E. Bank and L. R. Scott · 1989
Earlier work this paper cites.
An introduction to the conjugate gradient method without the agonizing pain
J. Shewchuk · 1994
Earlier work this paper cites.
A Sparse Approximate Inverse Preconditioner for the Conjugate Gradient Method
M. Benzi, C. D. Meyer, and M. Tuma · 1996
Earlier work this paper cites.
Strengths and weaknesses of quantum computing
C. Bennett, E. Bernstein, G. Brassard, and U. Vazirani · 1997
Earlier work this paper cites.
Monte Carlo methods for security pricing
P. Boyle, M. Broadie, and P. Glasserman · 1997
Earlier work this paper cites.
Simulating quantum systems on a quantum computer
C. Zalka · 1998
Earlier work this paper cites.
A comparative study of sparse approximate inverse preconditioners
M. Benzi and M. Tuma · 1999
Earlier work this paper cites.
Finite Element Solution of Boundary Value Problems: Theory and Computation
O. Axelsson and V. A. Barker · 2001
Earlier work this paper cites.
Quantum fingerprinting
H. Buhrman, R. Cleve, J. Watrous, and R. de Wolf · 2001
Earlier work this paper cites.
Quantum amplitude amplification and estimation
G. Brassard, P. Høyer, M. Mosca, and A. Tapp · 2002
Cited alongside, same era.
Creating superpositions that correspond to efficiently integrable probability distributions, 2002
L. Grover and T. Rudolph · 2002
Cited alongside, same era.
Quantum networks for generating arbitrary quantum states, 2004
P. Kaye and M. Mosca · 2004
Cited alongside, same era.
Is partial quantum search of a database any easier?
L. Grover and J. Radhakrishnan · 2005
Cited alongside, same era.
Mathematical Modeling and Methods of Option Pricing
L. Jiang and C. Li · 2005
Cited alongside, same era.
The Finite Element Method in Engineering
S. S. Rao · 2005
Cited alongside, same era.
The factorized sparse approximate inverse preconditioned conjugate gradient algorithm for finite element analysis of scattering problems
X. W. Ping and T.-J. Cui · 2009
Later among the works it cites.
New results on quantum property testing
S. Chakraborty, E. Fischer, A. Matsliah, and R. de Wolf · 2010
Later among the works it cites.
A. Ambainis · 2012
Later among the works it cites.
Quantum algorithm and circuit design solving the Poisson equation
Y. Cao, A. Papageorgiou, I. Petras, J. Traub, and S. Kais · 2013
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
An effective sparse approximate inverse preconditioner for vector finite element analysis of 3d em problems
S.S. Li, P.L. Rui, and R.S. Chen · 2006
Cited alongside, same era.
The Mathematical Theory of Finite Element Methods
S. C. Brenner and L. R. Scott · 2008
Cited alongside, same era.
A quantum algorithm to solve nonlinear differential equations, 2008
S. Leyton and T. Osborne · 2008
Cited alongside, same era.
A polynomial quantum algorithm for approximating the Jones polynomial
D. Aharonov, V. Jones, and Z. Landau · 2009
Cited alongside, same era.
Limitations on the simulation of non-sparse Hamiltonians
A. Childs and R. Kothari · 2009
Cited alongside, same era.
Quantum algorithm for linear systems of equations
A. Harrow, A. Hassidim, and S. Lloyd · 2009
Cited alongside, same era.
B. Clader, B. Jacobs, and C. Sprouse · 2013
Later among the works it cites.
Theory and practice of finite elements
A. Ern and J.-L. Guermond · 2013
Later among the works it cites.
Quantum algorithms for supervised and unsupervised machine learning, 2013
S. Lloyd, M. Mohseni, and P. Rebentrost · 2013
Later among the works it cites.
Quantum algorithms for approximating the effective resistances in electrical networks, 2013
G. Wang · 2013
Later among the works it cites.
High-order quantum algorithm for solving linear differential equations
D. Berry · 2014
Later among the works it cites.
Quantum Algorithms for Linear Algebra and Machine Learning
A. Prakash · 2014
Later among the works it cites.
Quantum machine learning algorithms: Read the fine print
S. Aaronson · 2015
Closest in time.
Hamiltonian simulation with nearly optimal dependence on all parameters, 2015
D. Berry, A. Childs, and R. Kothari · 2015
Closest in time.
Quantum linear systems algorithm with exponentially improved dependence on precision, 2015
A. Childs, R. Kothari, and R. Somma · 2015
Closest in time.