Finite Difference Computing with PDEs

DOI10.1007/978-3-319-55456-3zbMath1377.65105OpenAlexW3129412741MaRDI QIDQ2985026

Svein Linge, Hans Petter Langtangen

Publication date: 15 May 2017

Published in: Texts in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-55456-3

zbMATH Keywords

SORwave equationfinite difference methoddiffusion equationheat conductionapplicationsporous mediaalgebraic equationsnonlinear equationsnumerical experimentrandom walkvectorizationexercisesconjugate gradientforward Euler methodthin film flowCrank-Nicolsontruncation error analysisbackward EulerGauss-Seideltime dependent equationsleapfrogpotential fluid flowCython\(\theta\)-ruleadvection-dominated equationsEuler-Cromer methodmigrating loops to C and Fortranpropagation of electric signalsPython computer programsrelaxed JacobiStörmer-Verlet algorithmvectorized codevibration ODEs

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Numerical computation of solutions to systems of equations (65H10) Thin fluid films (76A20) Flows in porous media; filtration; seepage (76S05) Heat equation (35K05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Numerical computation of solutions to single equations (65H05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Finite difference and finite volume methods for ordinary differential equations (65L12) Packaged methods for numerical algorithms (65Y15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

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Uses Software

• SymPy
• SWIG
• F2PY
• NumPy
• Cython
• Python
• PyBindGen
• pickle
• shelf
• Joblib
• distutils

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