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Numerical partial differential equations

Numerical partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations… 
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Abstract additive Schwarz methodAdditive Schwarz methodAlgorithmBDDC

Papers overview

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Review
2018
Review
2018
Numerical methods for fractional partial differential equations
ABSTRACT In this review paper, we are mainly concerned with the finite difference methods, the Galerkin finite element methods… 
2008
2008
Effective condition number for numerical partial differential equations
In this paper, the new computational formulas are derived for the effective condition number Cond_eff, and the new error bounds… 
Highly Cited
2002
Highly Cited
2002
Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises
This paper is concerned with the numerical approximation of some linear stochastic partial differential equations with additive… 
Highly Cited
2001
Highly Cited
2001
Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations
We consider the numerical solution of the stochastic partial differential equation ∂u/∂t = ∂ 2 u/∂x 2 + σ(u)W(x,t), where W is… 
Highly Cited
2000
Highly Cited
2000
Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach
Takagi-Sugeno (TS) fuzzy models (1985, 1992) can provide an effective representation of complex nonlinear systems in terms of… 
Highly Cited
1995
Highly Cited
1995
Numerical Solution of Partial Differential Equations
Cambridge University Press has no responsibility for the persistence or accuracy of URLs for external or third-party internet… 
Highly Cited
1980
Highly Cited
1980
LSODE and LSODI, two new initial value ordinary differential equation solvers
Two new packages are available for the numerical solution of the initial value problem for stiff and nonstiff systems of ordinary… 
Highly Cited
1975
Highly Cited
1975
Software for Nonlinear Partial Differential Equations
The numerical solution of physically realistic nonlinear partial differential equations (PDEs) is a complicated and highly… 
Highly Cited
1967
Highly Cited
1967
An integral equation approach to boundary value problems of classical elastostatics
The analogy between potential theory and classical elasticity suggests an extension of the powerful method of integral equations… 
Highly Cited
1965
Highly Cited
1965
G.D. Smith: Numerical Solution of Partial Differential Equations, Oxford University Press, London 1965, viii+179頁, 14×22cm, 25s. 1500円.
As we have done in the preceding chapter, we begin by classifying the problems. Most of the classifications that were given for… 
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