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- Math Modeling, Simulation, & Optimization; Algebra thru PDEs
For problem solving try our Meta Calculus (MC); a Calculus level computer language. MC is based on what is called "Automatic Differentiation" (AD). Calculus languages simplify computer coding to an absolute minimum; i.e., a mathematical model, constraints, and the objective function. Minimizing the amount of code allows the user to concentrate on the science or engineering problem at hand and not on the (numerical) process requirements to achieve an optimum solution. Major benefits from AD based software: o Determines Optimal solutions o Allows Rapid Model Prototyping o Accelerates Problem "Understanding" o Increases Engineering Output and Quality o Reduces Time & Costly Problem / Solution Cycle
http://digitalCalculus.com
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Dr. Lev Idels
Malaspina University Professor, Nanaimo, BC, Canada Delay Differential Equations and its Applications in Mathematical Biology Teaching Material: Mathematical Modeling, Calculus, Linear Algebra, Differential Equations
http://web.mala.bc.ca/math/lev.html
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Associate Professor
Partial Differential Equations
http://www.math.uiowa.edu/~tli/
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Electronic Journal of Qualitative Theory of Differential Equations
The Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE) is dedicated to bringing you high quality papers on the qualitative theory of differential equations. Papers appearing in EJQTDE are available in DVI, PS and PDF format that can be previewed, or downloaded to your computer. The EJQTDE is covered by the Mathematical Reviews and the Zentralblatt, and has the International Standard Serial Number HU ISSN 1417-3875.
http://www.math.u-szeged.hu/ejqtde/
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Introduction to Green's Functions
Green's functions play an important role in the solution of linear ordinary and partial differential equations, and are a key component to the development of boundary integral equation methods.
http://www.boulder.nist.gov/div853/greenfn/tutorial.html
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Boundary Integral Methods
3rd International Conference on Theory and Applications. Brunel University, London, UK; 14--18 September 2004.
http://www.brunel.ac.uk/~mastsnc/bimta3.html
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Braz e Silva, Pablo
UNICAMP, Brazil. Research interests: PDEs, especially Navier-Stokes; Fluid mechanics; Stability of shear flows. Preprints, links.
http://www.ime.unicamp.br/~pablo
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Nonlinear Partial Differential Equations
Edinburgh, 8-18 January 2001. The aim of this 10-day course is to instruct young mathematicians on modern methods for nonlinear PDE theory, where the motivation comes from important new areas in applied science.
http://www.ma.hw.ac.uk/icms/current/npde/
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Electronic Journal of Qualitative Differential Equations
Free research papers on differential equations.
http://www.math.u-szeged.hu/ejqtde/
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FlexPDE
A general, script driven solution system for Partial differential equations, including equation interpretation, mesh generation, numerical solution and graphical output.
http://www.pdesolutions.com
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